Report from the Expert Group on laboratory alignment for the measurement of tyre rolling resistance installed under Regulation (EC) No 1222/2009 and listed on the Commission registry of Expert Groups to the European Commission - 2017
Inter-laboratory Alignment Procedure for Rolling Resistance Measurement for Implementation of the tyre labelling scheme according to Regulation (EC) No 1222/2009
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Content 1. Executive Summary .............................................................................................................................................. 4
2. Introduction ........................................................................................................................................................... 5
2.1. Members of the Expert Group ..................................................................................................................... 5
2.2. Approach for laboratory alignment ............................................................................................................. 5
2.3. Procedure for Inter-laboratory alignment .................................................................................................... 6
2.3.1. Choice of laboratories ............................................................................................................................. 6
2.3.2. Choice of alignment tyres ....................................................................................................................... 7
2.3.3. Pre-tests on each batch of tyres ............................................................................................................... 9
2.3.4. Alignment tests for C1-C2 tyres .............................................................................................................. 9
2.3.5. Alignment tests for C3 tyres .................................................................................................................... 9
3. Results ................................................................................................................................................................... 9
3.1. Pre-tests results .......................................................................................................................................... 10
3.2. Alignment tests results............................................................................................................................... 11
4. Conclusion .......................................................................................................................................................... 11
Annex A – Equipment information ............................................................................................................................. 13
Annex B – Data report template .................................................................................................................................. 14
Annex C - Pre-tests results .......................................................................................................................................... 15
1. Pre-tests results for C1-C2 tyres .................................................................................................................... 15
2. Correction Factors for C1-C2 tyres ................................................................................................................ 33
3. Pre-tests results for C3 tyres .......................................................................................................................... 35
4. Correction Factors for C3 tyres ...................................................................................................................... 53
Annex D - Alignment tests results - Cr (N/kN)........................................................................................................... 55
1. Raw data ........................................................................................................................................................ 55
2. Qualification of reference machines .............................................................................................................. 58
3. Statistical analysis of the Interlaboratories results – Cr (N/kN) ..................................................................... 59
3.1. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre A ................................... 59
3.2. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre B ................................... 63
3.3. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre C ................................... 67
3.4. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre D ................................... 71
3.5. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre E .................................... 75
3.6. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre X ................................... 79
3.7. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre F .................................... 83
3.8. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre G ................................... 87
3.9. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre H ................................... 91
3.10. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre J ................................... 95
3.11. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre K ................................. 99
3.12. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre Y ............................... 103
4. Calculation of assigned values ..................................................................................................................... 107
5. Regression functions .................................................................................................................................... 108
Annex E - Template for candidate / reference laboratory alignment ........................................................................ 109
Annex F - Proposal of guidance on how to handle the process of changing alignment equations, both for Reference
and Candidate Laboratories....................................................................................................................................... 111
Annex G – Draft of annex IVa and justification ....................................................................................................... 112
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Annex H: Draft Guideline for clarification of rules regarding the Candidate Laboratory alignment procedure
applying for ANNEX IVa of Regulation 661/2009 - Laboratory alignment procedure for the measurement of rolling
resistance. .................................................................................................................................................................. 125
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1. Executive Summary
Tyres, mainly because of their rolling resistance, account for 20 % to 30 % of the fuel consumption of vehicles. A
reduction of the rolling resistance of tyres may therefore contribute significantly to the energy efficiency of road
transport and thus to the reduction of emissions. Fuel-efficient tyres are cost-effective since fuel savings more than
compensate for the increased purchase price of tyres stemming from higher production costs.
The Regulation (EC) No 661/2009 of the European Parliament and of the Council of 13 July 2009 concerning type-
approval requirements for the general safety of motor vehicles, their trailers and systems, components and separate
technical units intended therefor sets out minimum requirements for the rolling resistance of tyres.
Technological developments make it possible to significantly decrease energy losses due to tyre rolling resistance
beyond those minimum requirements. To reduce the environmental impact of road transport, it is therefore
appropriate to lay down provisions to encourage end-users to purchase more fuel-efficient tyres by providing
harmonised information on that parameter.
The Regulation1 (EC) No 1222/2009 of the European Parliament and of the Council as amended by Commission
Regulation2 (EU) No 228/2011 and by Commission Regulation
3 (EU) No 1235/2011 establishes a framework for the
provision of harmonised information on tyre parameters through labelling, allowing end-users to make an informed
choice when purchasing tyres. The information to be provided under Articles 4, 5 and 6 of the Regulation (EC) No
1222/2009 on the fuel efficiency class, the external rolling noise class, and the wet grip class of tyres shall be
obtained by applying the harmonised testing methods referred to in Annex I of the Regulation (EC) No 1222/2009.
The fuel efficiency class must be determined on the basis of the rolling resistance coefficient (RRC) according to the
specified ‘A’ to ‘G’ scale and measured in accordance with UNECE Regulation No 117 and its subsequent
amendments.
As described in the Annex IVa to the Regulation (EC) No 1222/2009 the procedure for inter-laboratory comparison
for rolling resistance (RR) should be based upon the generation of assigned RRC values. For the definition of these
“assigned values”, the establishment of reference laboratories is essential.
A Network of Laboratories (including an Expert Group) was created under Regulation (EC) No 1222/2009,
composed of volunteer test laboratories (Technical Services, Tyre Manufacturers) to perform inter-laboratory
comparison tests on different samples of tyres, in order to establish reference data for rolling resistance
measurements. The alignment method for laboratories has to measure tyre rolling resistance at the worldwide level.
The 'Expert Group on laboratory alignment for the measurement of tyre rolling resistance' has been set up on
3/9/2010. Main activities of the group are dedicated to the creation of an alignment method for laboratories having
to measure tyre rolling resistance in accordance with the Regulation (EC) 1222/2009. The group met several times
in 2010/2011 for the alignment of reference laboratories for the measurement of tyre rolling resistance under the
Regulation, and in 2013/2014 for the first assessment of the stability and validity of the assigned values of the initial
alignment according to Annex IVa, point 3 of the Regulation. An Intermediate check was initiated by the expert
group and performed in 2015 to further improve the alignment process. This check shown that the system of
Reference Laboratories is stable with the 10 participating Labs, illustrating that the evolution of some machines can
be compensated (or eliminated) by the other Labs. The main difference for the assigned values is due to the tyre
evolution, not the Labs evolutions. The new re-assessment of the assigned values of the reference laboratories
alignment was performed in 2016/2017.
Due to the periodic review of the stability of the Network of Reference Laboratories according to the Regulation, a
new round of alignment among the Reference Laboratories was done. This final report includes the new alignment
equations that will be applicable as of September 1st, 2017.
A document giving a proposal of guidance on how to handle the process of changing alignment equations, both for
Reference and Candidate Laboratories is included in Annex F.
1 Official Journal of the European Union, L342/46-58, 22.12.2009: REGULATION (EC) No 1222/2009 OF THE
EUROPEAN PARLIAMENT AND OF THE COUNCIL of 25 November 2009 on the labelling of tyres with respect
to fuel efficiency and other essential parameters 2 Official Journal of the European Union L 62/1-16, 9.3.2011: COMMISSION REGULATION (EU) No 228/2011
of 7 March 2011 amending Regulation (EC) No 1222/2009 of the European Parliament and of the Council with
regard to the wet grip testing method for C1 tyres 3 Official Journal of the European Union L 317/17-23, 30.11.2011: COMMISSION REGULATION (EU) No
1235/2011 of 29 November 2011 amending Regulation (EC) No 1222/2009 of the European Parliament and of the
Council with regard to the wet grip grading of tyres, the measurement of rolling resistance and the verification
procedure
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The experience gained during the past years and the three inter-laboratory comparison tests led the group to suggest
some amendments to Annex IVa of Regulation (EC) No 1222/2009. (See Annex G)
2. Introduction
The Regulation (EC) No 1222/2009 is setting a labelling classification based upon absolute rolling resistance
coefficient (RRC) values. Under Annex I to the Regulation, the rolling resistance (RR) shall be measured according
to the UN-ECE Regulation R117 and its subsequent amendments.
According to the experience gained by the European tyre industry from previous Round-Robin tests for tyre rolling
resistance, and to the previous rounds of the inter-laboratory alignment procedure for tyre rolling resistance
measurement under Regulation (EC) No 1222/2009 performed in 2011 and 2014, the deviations in test results
observed could reach up to more than 1 N/kN between laboratories.
Due to this observed dispersion between measurement machines, a machine alignment procedure is necessary to get
comparative Rolling Resistance Coefficient (RRC) values and give an appropriate competitive playground for the
declaration of RRC labelling values according to the Regulation (EC) 1222/2009.
2.1. Members of the Expert Group Conveners (revolving):
IDIADA (Spain),
TÜV SÜD (Germany),
UTAC CERAM (France).
Tyre manufacturers:
Apollo Vredestein,
Bridgestone,
Continental,
Goodyear,
Michelin,
Pirelli,
ETRTO (European Association)
Independent Test Laboratories:
IDIADA (Spain),
RDW (Netherlands),
TÜV SÜD Product Service (Germany),
UTAC CERAM (France)
Observers:
NOKIAN (Tyre manufacturer),
ETRMA (European Association),
JASIC (Japan),
VCA (United Kingdom),
Swedish Energy Agency (Sweden)
2.2. Approach for laboratory alignment
The procedure is based upon the generation of assigned RRC values as described in Annex IVa to Regulation (EC)
1222/2009.
The Expert Group proposed a two-steps process for laboratory alignment:
In the first step, a Network of Laboratories for the definition of assigned values was created. According to Annex
IVa of Regulation 1222/2009, the last assigned values of each alignment tyre were determined by the Network of
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Reference Laboratories in 2015. After two years the network has to assess the stability and validity of the assigned
values.
One new member (RDW) has been added to the 2015 group of participants, for C1-C2 (OPS 26 P1) and C3 (OPS 26
P2), to the Network of Laboratories in accordance with the rules described in the “Guideline working document on
Reference Laboratories as defined in Commission Regulation (EU) No 1235/2011 of 29 November 2011 amending
Regulation (EC) No 1222/2009 of the European Parliament and of the Council with regard to the wet grip grading of
tyres, the measurement of rolling resistance and the verification procedure”. Two other members have changed their
C1-C2 machines (i.e. Continental from M 1300 to M 1320, and Apollo Vredestein from Test Machine 12 to 15).
Despite these changes representing more than 20% of periodic turnover for C1-C2 participant machines; it was
statistically proven that these modifications do not lead to a significant change in the assigned values.
This Network of Reference Laboratories is operating the RR test machines and equipment as listed in Annex A.
The preparation of the laboratory alignment procedure consisted in the following actions:
Assess number of alignment tyres for each category C1/C2 and C3,
Fix details of alignment tyres (class, dimension, load index, standard or reinforced),
Set up logistics, shipment between laboratories,
Recommend tyre storage conditions,
Establish the test procedure and test conditions for inter-laboratory comparison.
Based on the assigned values the Laboratories in the Network are correlated and aligned versus this “virtual
reference laboratory”.
In the second step, once the Laboratories Network has been established and the alignment vs. the assigned values
has been completed, any Candidate Laboratory can be aligned with any of the Network Laboratories.
2.3. Procedure for Inter-laboratory alignment The Network of Laboratories was created Sept 3, 2010 by the Committee on the Labelling of Tyres under
Regulation (EC) 1222/2009 and has been reactivated in 2013 and 2016 in order to assess the stability and validity of
the assigned values.
2.3.1. Choice of laboratories
According to the rules described in the “Guideline working document on reference laboratories as defined in
Commission Regulation (EU) No 1235/2011 of 29 November 2011 amending Regulation (EC) No 1222/2009 of the
European Parliament and of the Council with regard to the wet grip grading of tyres, the measurement of rolling
resistance and the verification procedure”, one new member fulfil the conditions to be added to the previous group
of participants in 2015 to the Network of Laboratories.
The 11 Laboratories participating to the Inter laboratory alignment process are identified as follow:
Laboratory Name
Laboratory ID
TÜV SÜD Lab0
UTAC LAB1
IDIADA LAB2
Michelin LAB3
JASIC LAB4
Goodyear LAB5
Continental LAB6
Bridgestone LAB7
Pirelli LAB8
RDW LAB9
Vredestein LAB10
Description and information of the machines to be used for the inter-laboratory alignment are given in Annex A.
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2.3.2. Choice of alignment tyres
Five sets of alignment tyres for C1/C2 category (A to E) and five sets of alignment tyres for C3 category (F to K)
were selected by the Expert Group; selection of tyres was accomplished in such way to cover the Load Index and
Rolling Resistance, coefficient and force, ranges in conformity with the requirements of Regulation ECE R117.
The pre-tests results shown that the measured Cr values of the C3 tyre set during the pre-tests do not comply with
the requirement set out in Annex IVa paragraph 2.2. (a). (i) of the Regulation (EC) No 1222/2009. This non-
compliance was confirmed even with the use of aligned data.
The alignment tests shown that the assigned value for Cr of tyre E in the C1-C2 category was not in line with the
targeted one and do not comply with the requirement set out in Annex IVa paragraph 2.2. (a). (i) of the Regulation
(EC) No 1222/2009. This non-compliance was confirmed even with the use of aligned data.
The group decided to add two extra batches of tyres with a higher coefficient of rolling resistance centred on 11.40
N/kN for C1-C2 and on 7.75 N/kN for C3. The justification to add a 6th tyre is to improve the RRC range in order
to:
Comply with the requirement set out in Annex IVa paragraph 2.2. (a). (i) of the Regulation (EC) No
1222/2009
Better represent the operating range of the reference machines regarding the distribution of measuring
values
These new batches of 11 tyres X and 10 tyres Y were selected by Continental and pre-tested, respectively by RDW
and Continental, according to the rules described in this chapter.
Final selection of alignment tyres, aligned RRC and RR force:
C1 / C2 Targeted
RRC
Targeted
RR [N]
Size Provided
by
Pretest
by
Targeted
Tyre Gap
Targeted
RRC range
Targeted
RRf range
A 6,30 31 205/55R16 CON MIC 5,10 4,13
B 7,40 40 195/65R15 95T BSEU PIR 1,10
C 8,50 50 225/50R17 98Y BSEU JASIC 1,10
D 9,50 58 245/40ZR20 99Y XL Ultrac Vorti VRE VRE 1,00
E 10,70 78 P235/75R15 105T PIR PIR 1,20
X 11,40 128 LT245/75R16 LI 120 CON RDW 0,7
C3 Targeted
RRC
Targeted
RR [N]
Size Provided
by
Pretest
by
Targeted
Tyre Gap
Targeted
RRC range
Targeted
RRf range
F 3,90 146 385/65R22.5 CON TUEV 3,85 2,67
G 4,60 105 245/70R17.5 MIC BSEU 0,70
H 5,40 76 215/75R17.5 LI 126 CON IDIADA 0,80
J 6,00 178 295/80R22.5 MIC UTAC 0,60
K 6,80 203 295/80R22.5 GYR GYR 0,80
Y 7,75 114 225/70 R 19.5 CON CON 0,95
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The alignment tyres were provided by industry
Test conditions:
Size LI SS Brand Speed
[km/h]
Test Load
[N]
Infl. press.
[kPa]
Rim
["]
Warm-up
[min]
A 205/55R16 Econtact 91 Q CON 80 4 827 210 6,50 30
B 195/65R15 95T Turanza T001 95 T BS " 5 415 250 6,00 "
C 225/50R17 98Y Turanza T001 98 Y BS " 5 886 250 7,00 "
D 245/40ZR20 99Y XL Ultrac Vorti 99 Y VRE " 6 082 250 8,50 "
E P235/75R15 105T Scorpion ATR 105 T PIR " 7 259 210 6,50 "
X LT 245/75R16 CrossContact 120 S CON " 11 507 550 7,00 50
F 385/65R22.5 Eco Plus HT3 160 K CON 80 37 523 900 11,75 180
G 245/70R17.5 X LINE ENERGY T TL 143/141J 143 J MIC 60 22 722 875 7,50 150
H 215/75R17.5 Hybrid LS3 126 M CON 80 14 175 700 6,00 150
J 295/80R22.5 X MULTIWAY 3D XZE TL 152/148M 152 M MIC " 29 602 850 9,00 180
K 295/80R22.5 KMAX D 152 M GYR " 29 602 850 9,00 180
Y 225/70R19.5 HDR 128 N CON " 15 000 760 6,75 150
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2.3.3. Pre-tests on each batch of tyres
As stipulated by the Expert Group, the industry provided the alignment tyres with minimum production variation.
But as tyres are never strictly identical, a process of initial measurement of each tyre (4 times) was established in
order to assess the tyre category set´s individual variance; each of the laboratories providing initial measurements
did tests with one whole batch of alignment tyres (same category, brand and design).
C1 / C2 Tyre ID Supplier Pre-tests at Size Design
A Continental Michelin 205/55R16 Econtact
B Bridgestone Pirelli 195/65R15 95T Turanza T001
C Bridgestone JASIC 225/50R17 98Y Turanza T001
D Vredestein Vredestein 245/40ZR20 99Y XL Ultrac Vorti
E Pirelli Pirelli P235/75R15 105T Scorpion ATR
X Continental RDW LT245/75R16 LI 120 CrossContact
C3 Tyre ID Supplier Pre-test at Size Design
F Continental TÜV SÜD 385/65R22.5 Eco Plus HT3
G Michelin Bridgestone 245/70R17.5 X LINE ENERGY T
H Continental IDIADA 215/75R17.5 LI 126 Hybrid LS3
J Michelin UTAC 295/80R22.5 X Multiway 3D XZE
K Goodyear Goodyear 295/80R22.5 KMAX D
Y Continental Continental 225/70 R 19.5 HDR
2.3.4. Alignment tests for C1-C2 tyres
Each sample of each set of 11 C1-C2 tyres has been tested 4 times on one of the 11 machines dedicated to this class
of tyres
2.3.5. Alignment tests for C3 tyres
Each sample of each set of 10 C3 tyres has been tested 4 times on one of the 10 machines dedicated to this class of
tyres
3. Results
The analysis of the results of the pre-tests shows that all the Rolling Resistance Machines used comply with the
requirement on Sigma m of Regulation (EC) No 1222/2009.
All the results have been collected and recorded on the template report shown in Annex B.
The data formats to be used for the computations and results are included in Annex IVa of Regulation (EC) No
1222/2009:
The measured RRC values corrected from drum diameter and temperature shall be rounded to 2 digits after
the comma.
Then the computations will be made with all digits: There will be no further rounding except on the final
alignment equations.
All standard deviation values will be displayed with 3 digits after comma.
All RRC values will be displayed with 2 digits after comma.
All alignment coefficients (A1l, B1l, A2c and B2c) will be rounded and displayed with 4 digits after
comma.
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Deliverables of the Network of Reference Laboratories Expert Group:
For pre-tests:
Raw data and aligned data
Qualification of the data
Precision and uncertainty values
Correction factor for each batch
Conclusions
For alignment tests:
Raw data and aligned data
Qualification of the data
Precision and uncertainty values
Assigned values
Qualification of the assigned value
Alignment equations for reference laboratories
Precision and uncertainty of predicted values
3.1. Pre-tests results
Each tyre of one batch has been tested on one machine four times and the average and the standard deviation of the
three last measurements has been calculated.
The pre-tests batches include at least one additional tyre for each batch and the group decide to choose the alignment
tyres to be use in each batch by considering the following criteria appropriate and effective:
Excludes any tyre that has got a standard deviation above the limit (5.0 %) for the three last measurements (Raw
values), then in case all the tyres respect the standard deviation condition (Raw values), removes the tyres that do
not allow to respect the gap range (0.5 N/kN < gap < 1.5 N/kN) between two consecutive RRC mean values (Raw
values) for each batch. In other words removes the higher and/or lower values.
The analysis, based on the three last measurements (out of four) for each tyre, results in exclusion of the following
samples from the batches:
Batch A Tyre N°4
Batch B Tyre N°1
Batch C Tyre N°5
Batch D Tyres N°2, N°4 & N°9
Batch E No additional Tyre
Batch X Tyres N°2, N°3, N°5 & N°8
Each remaining tyre from the batch has been re-identified as A0, A1… A10 till X0…, X9, X10.
Batch F Tyre N°10
Batch G Tyre N°1
Batch H Tyre N°10
Batch J Tyres N°8, N°9 & N°10
Batch K Tyres N°7 & N°8
Batch Y Tyres N°6, N°7 & N°11
Each remaining tyre from the batch has been re-identified as F0, F1… F9 till Y0…, Y8, Y9.
Then, the repeatability of the pre-tests data was analysed, these data include the variation of the RR measurement
process as well as the evolution of the tyres during the pre-tests. The goal of the pre-tests was to analyse the
variation within a batch of tyres and to use the results to apply a correction factor. The data and the analysis of these
data are given in Annex C to this report.
Another outcome from these pre-tests was the maximum variation of the measured RR coefficient for a set of 11 or
10 carefully selected tyres:
For C1-C2 = -1.84%, +1.84%
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For C3 = -3.56%, +2.33%
Even if we could consider that these results are not bad for manufactured products, a correction factor will be used
to normalize the values for future computerization of regression function for each machine.
3.2. Alignment tests results
Each tyre has been tested on one machine four times and the correction factor of the tested tyre was applied to each
measurement then the average of three corrected last measurements has been calculated. The data and the analysis of
these data are given in Annex D to this report.
Based on the experience gained during the two previous inter-laboratory rounds in 2011 and in 2015, all individual
data have been used for the calculation of the linear regression function for each laboratory.
4. Conclusion
Pre-tests are still needed to monitor the dispersion of each batch of tyres and to improve the accuracy of alignment
equation for each machine. Independent from the variation from one laboratory to another (if they are compliant
with the requirement of Annex IVa of Regulation (EC) No 1222/2009) the system is robust.
The experience gained confirms that a first test in the same conditions is necessary before starting the series of
measurements.
The statistical analysis confirms that the correlation is very high.
The accuracy of measured values is improved by this alignment procedure:
Maximum deviation from assigned values before
alignment
For C1-C2 = -5.15% / +4.64%
Maximum deviation from assigned values after
alignment
For C1-C2 = -1.79% / +1.99%
Maximum deviation from assigned values before
alignment
For C3 = -5.29% / +5.87%
Maximum deviation from assigned values after
alignment
For C3 = -2.86% / +2.60%
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Other documents are annexed to this report:
Annex E: the template for candidate / reference laboratory alignment.
Annex F: Proposal of guidance on how to handle the process of changing alignment equations, both for
Reference and Candidate Laboratories
Annex H: Guideline for clarification of rules regarding the Candidate Laboratory alignment procedure
applying for ANNEX IVa of Regulation 661/2009 - Laboratory alignment procedure for the measurement
of rolling resistance
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Annex A – Equipment information
ADDRESS
Contact person
Tel +email
Tyre type C1 / C2 C3 C1 / C2 C3 C1 / C2 C3 C1 / C2 C3 C1 / C2 C3
Location
Machine Identification # H8 H4 BAN0226-VL BAN0226-PL 10223 10259 1P/V V2 RRPL A1 RD RE
Machine operational yes yes yes yes yes yes yes yes yes yes
Machine complies to
performance criteria
Network Laboratories
yes yes yes yes yes yes yes yes yes yes
Measurement method Power Power Torque Torque Torque Torque Deceleration Deceleration Force Force
Drum diameter [m] 2.0 1.7 2.0 2.0 1.7 1.7 2.706 2.706 2 3
Drum surface Smooth steel Smooth steel Smooth steel Smooth steel Smooth steel Smooth steel Smooth steel Smooth steel Smooth steel Smooth steel
Max. test load [kg] 1835 10194 2000 6000 1500 7000 2039 8155 1500 8000
Garching - Germany Linas-Montlhéry - France Santa-Oliva - Spain Ladoux - France Tokyo - Japan
+49 89 32950 -767 or -787
alexander.knoerzer@tuev-
sued.de
+33 169804085
marc-
antoine.scorianz@utaccer
am.com
jerome.paschal@utaccera
m.com
+34 977166016
+33 473321125
jeremy.herviou@michelin.
com
+81 423426331
m
kiyoshi.satou@gridgestone.
com
Lars NETSCH
Alexander KNOERZER
Marc-Antoine SCORIANZ
Jérôme PASCHAL
Ignacio LAFUENTE
Ricard ANADONJeremy HERVIOU
Jun MAKINO
Kiyoshi SATO
TÜV SÜD Product Service
GmbH
Daimlerstrasse 15
85748 Garching/Munich,
Germany
Groupe UTAC CERAM
Autodrome de Linas-
Montlhéry
91319 Montlhéry Cedex
France
IDIADA Automotive
Technology, S.A.
Workshop homologation
Division
Pol Ind L'Albornar, AP2 exit
12
E-43710 SANTA OLIVA
CERL Michelin - Magasin
F43
Compte J. HERVIOU
Zone Industrielle de
Ladoux
63118 Cébazat
France
Bridgestone Corporation
Technical centre
3-1-1, Ogawahigashi-cho,
Kodaira-shi, Tokyo 187-
8531
Japan
TUV SUD N°0 UTAC N°1 IDIADA N°2 Michelin N°3 JASIC N°4
ADDRESS
Contact person
Tel +email
Tyre type C1 / C2 C3 C1 / C2 C3 C1 / C2 C3 C1 / C2 C3 C1 / C2 C3 C1 / C2 C3
Location Milan - Italy Izmit - Turkey
Machine Identification # M/C # 4 M/C # 5 M1320 M1100 T34001 HU-2 MIQ 2075 US2-45127 OPS 26 - P1 OPS 26 - P2 Testmachine 15 -
Machine operational yes yes yes yes yes yes yes yes yes yes yes -
Machine complies to
performance criteria
Network Laboratories
yes yes yes yes yes yes yes yes yes yes yes -
Measurement method Torque Torque Torque Torque Torque Torque Torque Torque Torque Torque Torque -
Drum diameter [m] 2 1.7 2 2 2 1.7 2 2 2 2 2 -
Drum surface Smooth steel Smooth steel Smooth steel Smooth steel Smooth steel Smooth steel Smooth steel Smooth steel Smooth steel Smooth Steel Smooth steel -
Max. test load [kg] 1250 5000 1529 8155 1275 6120 2000 6000 2000 5000 1450 -
Hannover - Germany Rome - Italy Lelystad - The Netherlands Enschede - The NetherlandsColmar-Berg - Luxembourg
+352 81994733
florian_nicolas@goodyear.
com
+49 5119763232
hans-
+39 06 5056608
riccardo.giovannotti@bridg
estone.eu
+39 02 6442 9806
+31 6 319 709 15
+31 6 515 822 77
+31 643783269
Hans-Jôrg KÖSTER Riccardo GIOVANNOTTI Andrea VERGANI
Mark Stuivenvolt
Dirk Visser Jos de GIERFlorian NICOLAS
Goodyear Innovation
Center Luxembourg
Avenue Gordon Smith
L-7750 Colmar-Berg
Luxembourg
Continental Reifen
Deutschland GmbH
Jaedekamp 30
30419 Hannover
TEST SRL
VIA Padova, 6
00071 Pomezia
(Rome), Italy
Pirelli Tyre SpA
Sperimentazione Indoor
via Chiese; 51
20126 Milano ITALY
RDW Testcentrum
Talingweg 76
8218 NX Lelystad
The Netherlands
Apollo Vredestein B.V.
Testdepartment
F.a.o. Ralph Greve
Ir. E.L.C. Schiffstraat 370
7547 RD Enschede
The Netherlands
Continental N°6 Bridgestone N°7 Pirelli N°8 RDW N°9 Vredestein N°10Goodyear N°5
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Annex B – Data report template
1
91
Automatic Calc. cr [N/kN]:
Automatic Calc. cr [N/kN]:
Comments:
If Fr (N) in fields H31 to H34 and RRC in fields T31 to T34 are already temperature corrected, enter Temp_corr = 1 (otherwise 0)
Temperature correction coefficient for C1 is 0.008, for C2 and C3 with LI<=121 it is 0.01 and for C3 with LI>121 it is 0.006.
Reference Lab Test Protocol Version 1.2, 20 October, 2014
3 6,63
4 6,60
1 Slope 0,9924 6,52
2 Intercept -0,2571 6,56
4 33,3 38,0 6,91
Aligned Results acc. EU 1235/2011 (Temperature 25°C, Drum diameter 2.0m)
2 33,1 38,2 6,87
3 33,5 38,4 6,94
Corrected Results (Temperature 25°C, Drum diameter 2.0m)
Rec. Correction Formula Automatic Calc. Fr [N]: FPL [N]:
1 0,008 33,0 38,1 6,83
4 98 33,3 1 38,0 6,91
3 98 33,5 1 38,4 6,94
2 98 33,1 1 38,2 6,87
1 98 33,0 1 38,1 6,83
4 80,1 482 24,9
Results (non corrected results)
Rec. Skim Test Load (N) Fr [N]: Temp_corr ? FPL [N]:
25,0
2 80,1 482 25,0
3 80,1 483 25,0
25
Measurements
Rec. Speed [km/h]: Load [daN]: Tamb [°C]:
Remark:
Average ambient temperature
during whole process
1 80,1 483
4 30 80 483 0 210
25
3 30 80 483 0 210 25
2 30 80 483 0 210
Tamb [°C]:
1 30 80 483 0 210 25
Nominal Diameter (m): 0,632 Load Index:
Set Test-Data
Setting Warm-up [min]: Speed [km/h]: Load [daN]: Camb. [°]: pcold [kPa]:
Tire Manufacturer: Reinforced yes/no: no
Size: 205/55 R16 Speed Index: Q
Tire
Tire-ID: Tire Class (C1, C2, C3):
DOT-Nr.: Brand-/Trade Name:
Test Conditions: ECE-R 117 Test Method:
Test-Rim
Diameter x Width[´´]: 6,5 x 16 Material: light alloy
Test-Rig: Test Date:
Drum Ø [m]: 2,0 Drum Surface: smooth steel
TIRE ROLLING RESISTANCE TEST PROTOCOL
Test Lab
General Data
Test Lab/Location: Report No.
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Annex C - Pre-tests results
1. Pre-tests results for C1-C2 tyres
1.1. Pre-tests results on Coefficient of rolling resistance (Cr) - Tyre A
1.1.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Tyre N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
A00 3 6.45 0.01 0.23 0.03
A01 3 6.33 0.02 0.32 0.04
A02 3 6.44 0.02 0.31 0.04
A03 3 6.36 0.01 0.23 0.03
A04 3 6.32 0.01 0.09 0.01
A05 3 6.46 0.01 0.09 0.01
A06 3 6.38 0.03 0.40 0.05
A07 3 6.47 0.02 0.30 0.04
A08 3 6.45 0.01 0.15 0.02
A09 3 6.48 0.01 0.15 0.02
A10 3 6.41 0.01 0.15 0.02
1.1.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
6.44 6.47 4.303 6.42
6.30 6.35 4.303 6.28
6.41 6.46 4.303 6.39
6.34 6.37 4.303 6.32
6.31 6.33 4.303 6.31
6.45 6.46 4.303 6.44
6.35 6.41 4.303 6.32
6.45 6.49 4.303 6.42
6.44 6.46 4.303 6.43
6.47 6.49 4.303 6.45
6.40 6.42 4.303 6.39
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Confidence_interval_T_up Half_amplitude_T
6.49 0.04
6.38 0.05
6.49 0.05
6.39 0.04
6.33 0.01
6.47 0.01
6.45 0.06
6.52 0.05
6.47 0.02
6.50 0.02
6.43 0.02
1.1.3. Between and within contribution for the factor tyre
Tyre CEi CDi
A00 4.90 8.33
A01 22.27 15.48
A02 1.76 15.48
A03 9.73 8.33
A04 25.75 1.19
A05 5.72 1.19
A06 2.88 25.00
A07 9.63 14.29
A08 4.15 3.57
A09 13.22 3.57
A10 0.01 3.57
1.1.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 6.41
Repeatability_standard_deviat 0.02
Limit_of_repeatability 0.04
Repeatability_exp_uncertainty 0.03
Reproducibility_stand_deviat 0.06
Limit_of_reproducibility 0.16
Reproducibility_exp_uncertaint 0.12
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1.1.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 0.48
Repro_exp_uncert_percent 1.83
1.1.6. Part of variation in percent of the Tyre out of the trial total variation
Variable Cr
Variation_part_Tyre 93.09
1.1.7. Box-plot graphics
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1.2. Pre-tests results on Coefficient of rolling resistance (Cr) - Tyre B
1.2.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Tyre N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
B00 3 7.71 0.04 0.51 0.08
B01 3 7.73 0.04 0.46 0.07
B02 3 7.68 0.03 0.44 0.07
B03 3 7.65 0.01 0.20 0.03
B04 3 7.69 0.05 0.59 0.09
B05 3 7.63 0.05 0.63 0.10
B06 3 7.66 0.02 0.30 0.05
B07 3 7.59 0.05 0.65 0.10
B08 3 7.65 0.03 0.41 0.06
B09 3 7.66 0.02 0.32 0.05
B10 3 7.65 0.03 0.45 0.07
1.2.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
7.66 7.75 4.303 7.61
7.69 7.77 4.303 7.64
7.64 7.72 4.303 7.59
7.64 7.67 4.303 7.62
7.64 7.75 4.303 7.58
7.58 7.69 4.303 7.51
7.64 7.69 4.303 7.61
7.53 7.64 4.303 7.46
7.62 7.69 4.303 7.58
7.63 7.69 4.303 7.60
7.62 7.69 4.303 7.57
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Confidence_interval_T_up Half_amplitude_T
7.80 0.10
7.81 0.09
7.76 0.08
7.69 0.04
7.81 0.11
7.76 0.12
7.72 0.06
7.71 0.12
7.73 0.08
7.72 0.06
7.74 0.09
1.2.3. Between and within contribution for the factor tyre
Tyre CEi CDi
B00 12.53 10.76
B01 27.00 8.74
B02 1.11 8.07
B03 0.77 1.57
B04 5.93 14.35
B05 6.43 16.37
B06 0.00 3.59
B07 44.58 17.04
B08 0.77 6.95
B09 0.11 4.26
B10 0.77 8.30
1.2.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 7.66
Repeatability_standard_deviat 0.04
Limit_of_repeatability 0.10
Repeatability_exp_uncertainty 0.07
Reproducibility_stand_deviat 0.05
Limit_of_reproducibility 0.13
Reproducibility_exp_uncertaint 0.10
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1.2.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 0.94
Repro_exp_uncert_percent 1.24
1.2.6. Part of variation in percent of the Tyre out of the trial total variation
Variable Cr
Variation_part_Tyre 42.69
1.2.7. Box-plot graphics
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1.3. Pre-tests results on Coefficient of rolling resistance (Cr) - Tyre C
1.3.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Tyre N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
C00 3 8.60 0.01 0.13 0.02
C01 3 8.70 0.03 0.39 0.07
C02 3 8.76 0.02 0.23 0.04
C03 3 8.65 0.01 0.11 0.02
C04 3 8.56 0.01 0.17 0.03
C05 3 8.75 0.02 0.23 0.04
C06 3 8.68 0.03 0.30 0.05
C07 3 8.71 0.01 0.17 0.03
C08 3 8.86 0.01 0.06 0.01
C09 3 8.76 0.00 0.00 0.00
C10 3 8.72 0.02 0.28 0.05
1.3.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
8.58 8.61 4.303 8.57
8.66 8.74 4.303 8.62
8.74 8.79 4.303 8.71
8.64 8.66 4.303 8.63
8.54 8.58 4.303 8.52
8.73 8.77 4.303 8.70
8.65 8.71 4.303 8.62
8.69 8.72 4.303 8.67
8.85 8.86 4.303 8.84
8.76 8.76 4.303 8.76
8.69 8.75 4.303 8.66
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Confidence_interval_T_up Half_amplitude_T
8.62 0.03
8.78 0.08
8.81 0.05
8.68 0.02
8.60 0.04
8.80 0.05
8.74 0.06
8.74 0.04
8.87 0.01
8.76 0.00
8.78 0.06
1.3.3. Between and within contribution for the factor tyre
Tyre CEi CDi
C00 17.10 3.23
C01 0.03 29.03
C02 5.26 10.48
C03 4.14 2.42
C04 30.20 5.65
C05 3.23 10.48
C06 0.85 16.94
C07 0.00 5.65
C08 34.54 0.81
C09 4.18 0.00
C10 0.47 15.32
1.3.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 8.70
Repeatability_standard_deviat 0.02
Limit_of_repeatability 0.05
Repeatability_exp_uncertainty 0.04
Reproducibility_stand_deviat 0.08
Limit_of_reproducibility 0.24
Reproducibility_exp_uncertaint 0.17
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1.3.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 0.43
Repro_exp_uncert_percent 1.94
1.3.6. Part of variation in percent of the Tyre out of the trial total variation
Variable Cr
Variation_part_Tyre 95.00
1.3.7. Box-plot graphics
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1.4. Pre-tests results on Coefficient of rolling resistance (Cr) - Tyre D
1.4.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Tyre N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
D00 3 9.50 0.05 0.50 0.10
D01 3 9.54 0.03 0.32 0.06
D02 3 9.53 0.05 0.54 0.10
D03 3 9.54 0.03 0.27 0.05
D04 3 9.47 0.01 0.06 0.01
D05 3 9.50 0.02 0.21 0.04
D06 3 9.45 0.04 0.38 0.07
D07 3 9.48 0.02 0.16 0.03
D08 3 9.44 0.03 0.31 0.06
D09 3 9.50 0.03 0.33 0.06
D10 3 9.54 0.04 0.38 0.07
1.4.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
9.45 9.56 4.303 9.38
9.50 9.57 4.303 9.46
9.47 9.59 4.303 9.40
9.51 9.57 4.303 9.48
9.46 9.48 4.303 9.45
9.47 9.52 4.303 9.45
9.41 9.49 4.303 9.36
9.46 9.50 4.303 9.44
9.41 9.47 4.303 9.37
9.47 9.54 4.303 9.43
9.49 9.58 4.303 9.45
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Confidence_interval_T_up Half_amplitude_T
9.62 0.12
9.61 0.08
9.66 0.13
9.60 0.06
9.48 0.01
9.55 0.05
9.54 0.09
9.52 0.04
9.51 0.07
9.58 0.08
9.63 0.09
1.4.3. Between and within contribution for the factor tyre
Tyre CEi CDi
D00 0.13 19.65
D01 11.67 7.92
D02 7.87 23.17
D03 13.85 5.57
D04 7.26 0.29
D05 0.06 3.52
D06 17.82 10.85
D07 3.16 2.05
D08 26.39 7.33
D09 0.13 8.21
D10 11.67 11.44
1.4.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 9.50
Repeatability_standard_deviat 0.03
Limit_of_repeatability 0.09
Repeatability_exp_uncertainty 0.06
Reproducibility_stand_deviat 0.04
Limit_of_reproducibility 0.12
Reproducibility_exp_uncertaint 0.09
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1.4.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 0.68
Repro_exp_uncert_percent 0.92
1.4.6. Part of variation in percent of the Tyre out of the trial total variation
Variable Cr
Variation_part_Tyre 45.02
1.4.7. Box-plot graphics
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1.5. Pre-tests results on Coefficient of rolling resistance (Cr) - Tyre E
1.5.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Tyre N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
E00 3 10.25 0.04 0.34 0.07
E01 3 10.15 0.04 0.44 0.09
E02 3 10.21 0.04 0.42 0.09
E03 3 10.19 0.04 0.35 0.07
E04 3 10.23 0.05 0.45 0.09
E05 3 10.16 0.04 0.35 0.07
E06 3 10.18 0.05 0.47 0.10
E07 3 10.18 0.03 0.29 0.06
E08 3 10.25 0.04 0.44 0.09
E09 3 10.24 0.05 0.48 0.10
E10 3 10.25 0.05 0.45 0.09
1.5.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
10.21 10.29 4.303 10.16
10.10 10.20 4.303 10.04
10.16 10.25 4.303 10.10
10.15 10.23 4.303 10.10
10.18 10.28 4.303 10.11
10.12 10.20 4.303 10.07
10.13 10.24 4.303 10.06
10.14 10.21 4.303 10.10
10.19 10.30 4.303 10.13
10.19 10.30 4.303 10.12
10.20 10.30 4.303 10.14
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Confidence_interval_T_up Half_amplitude_T
10.33 0.09
10.26 0.11
10.31 0.11
10.27 0.09
10.34 0.12
10.25 0.09
10.30 0.12
10.25 0.07
10.36 0.11
10.36 0.12
10.37 0.12
1.5.3. Between and within contribution for the factor tyre
Tyre CEi CDi
E00 10.47 6.41
E01 22.14 10.03
E02 0.00 9.38
E03 2.87 6.41
E04 3.49 11.02
E05 17.28 6.41
E06 3.87 12.01
E07 6.32 4.44
E08 10.47 10.36
E09 8.78 12.50
E10 14.32 11.02
1.5.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 10.21
Repeatability_standard_deviat 0.04
Limit_of_repeatability 0.12
Repeatability_exp_uncertainty 0.08
Reproducibility_stand_deviat 0.05
Limit_of_reproducibility 0.14
Reproducibility_exp_uncertaint 0.10
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1.5.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 0.82
Repro_exp_uncert_percent 1.00
1.5.6. Part of variation in percent of the Tyre out of the trial total variation
Variable Cr
Variation_part_Tyre 32.02
1.5.7. Box-plot graphics
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1.6. Pre-tests results on Coefficient of rolling resistance (Cr) - Tyre X
1.6.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Tyre N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
X00 3 11.43 0.02 0.19 0.04
X01 3 11.47 0.04 0.34 0.08
X02 3 11.48 0.02 0.22 0.05
X03 3 11.38 0.01 0.13 0.03
X04 3 11.48 0.01 0.12 0.03
X05 3 11.37 0.05 0.41 0.09
X06 3 11.37 0.03 0.27 0.06
X07 3 11.40 0.01 0.06 0.01
X08 3 11.40 0.03 0.28 0.06
X09 3 11.41 0.01 0.09 0.02
X10 3 11.45 0.01 0.12 0.03
1.6.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
11.41 11.46 4.303 11.38
11.43 11.52 4.303 11.38
11.45 11.51 4.303 11.42
11.37 11.40 4.303 11.35
11.47 11.50 4.303 11.45
11.32 11.42 4.303 11.25
11.34 11.41 4.303 11.30
11.40 11.41 4.303 11.39
11.36 11.43 4.303 11.32
11.40 11.43 4.303 11.39
11.43 11.47 4.303 11.41
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Confidence_interval_T_up Half_amplitude_T
11.49 0.05
11.57 0.10
11.55 0.06
11.42 0.04
11.51 0.03
11.48 0.12
11.45 0.08
11.42 0.02
11.47 0.08
11.44 0.02
11.48 0.04
1.6.3. Between and within contribution for the factor tyre
Tyre CEi CDi
X00 0.29 6.49
X01 14.12 19.90
X02 19.01 8.37
X03 8.22 2.81
X04 17.96 2.38
X05 16.51 28.99
X06 13.48 13.06
X07 1.94 0.62
X08 4.43 13.29
X09 0.47 1.35
X10 3.56 2.74
1.6.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 11.42
Repeatability_standard_deviat 0.03
Limit_of_repeatability 0.07
Repeatability_exp_uncertainty 0.05
Reproducibility_stand_deviat 0.05
Limit_of_reproducibility 0.13
Reproducibility_exp_uncertaint 0.10
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1.6.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 0.46
Repro_exp_uncert_percent 0.84
1.6.6. Part of variation in percent of the Tyre out of the trial total variation
Variable Cr
Variation_part_Tyre 70.59
1.6.7. Box-plot graphics
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2. Correction Factors for C1-C2 tyres
Tyre Test 2 Test 3 Test 4 Avg. Correction Factor
A00 6,47 6,45 6,44 6,45 0,994 min 98,98%
A01 6,34 6,33 6,30 6,33 1,014 max 101,45%
A02 6,46 6,43 6,42 6,44 0,996 range 2,47%
A03 6,34 6,37 6,35 6,36 1,009
A04 6,32 6,32 6,31 6,32 1,015
A05 6,46 6,46 6,45 6,46 0,993
A06 6,41 6,37 6,36 6,38 1,005
A07 6,49 6,47 6,45 6,47 0,991
A08 6,46 6,45 6,44 6,45 0,994
A09 6,49 6,47 6,48 6,48 0,990
A10 6,42 6,41 6,40 6,41 1,000
Avg. total 6,412
Tyre Test 2 Test 3 Test 4 Avg. Correction Factor
B00 7,75 7,71 7,67 7,71 0,995 min 99,20%
B01 7,77 7,72 7,70 7,73 0,992 max 101,04%
B02 7,72 7,66 7,66 7,68 0,998 range 1,84%
B03 7,67 7,66 7,64 7,65 1,001
B04 7,75 7,67 7,67 7,69 0,996
B05 7,67 7,66 7,58 7,63 1,004
B06 7,68 7,68 7,64 7,66 1,000
B07 7,64 7,58 7,54 7,59 1,010
B08 7,67 7,68 7,62 7,65 1,001
B09 7,69 7,64 7,66 7,66 1,001
B10 7,69 7,66 7,62 7,65 1,001
Avg. total 7,665
Tyre Test 2 Test 3 Test 4 Avg. Correction Factor
C00 8,60 8,60 8,58 8,60 1,013 min 98,26%
C01 8,74 8,68 8,68 8,70 1,001 max 101,68%
C02 8,79 8,76 8,75 8,76 0,993 range 3,42%
C03 8,66 8,64 8,65 8,65 1,006
C04 8,57 8,56 8,54 8,56 1,017
C05 8,77 8,73 8,76 8,75 0,995
C06 8,71 8,67 8,66 8,68 1,003
C07 8,72 8,71 8,69 8,71 1,000
C08 8,87 8,86 8,86 8,86 0,983
C09 8,76 8,76 8,76 8,76 0,994
C10 8,75 8,72 8,70 8,72 0,998
Avg. total 8,705
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Tyre Test 2 Test 3 Test 4 Avg. Correction Factor
D00 9,47 9,56 9,49 9,50 1,000 min 99,57%
D01 9,54 9,57 9,51 9,54 0,996 max 100,60%
D02 9,59 9,52 9,49 9,53 0,997 range 1,03%
D03 9,57 9,54 9,52 9,54 0,996
D04 9,48 9,47 9,47 9,47 1,003
D05 9,50 9,48 9,52 9,50 1,000
D06 9,49 9,41 9,46 9,45 1,005
D07 9,48 9,47 9,50 9,48 1,002
D08 9,48 9,42 9,42 9,44 1,006
D09 9,48 9,50 9,54 9,50 1,000
D10 9,51 9,53 9,58 9,54 0,996
Avg. total 9,498
Tyre Test 2 Test 3 Test 4 Avg. Correction Factor
E00 10,26 10,27 10,21 10,25 0,996 min 99,56%
E01 10,20 10,15 10,11 10,15 1,006 max 100,55%
E02 10,23 10,24 10,16 10,21 1,000 range 0,99%
E03 10,20 10,22 10,15 10,19 1,002
E04 10,27 10,25 10,18 10,23 0,998
E05 10,20 10,15 10,13 10,16 1,005
E06 10,21 10,13 10,22 10,18 1,002
E07 10,21 10,18 10,15 10,18 1,003
E08 10,29 10,24 10,21 10,25 0,996
E09 10,29 10,24 10,20 10,24 0,997
E10 10,30 10,24 10,22 10,25 0,996
Avg. total 10,207
Tyre Test 2 Test 3 Test 4 Avg. Correction Factor
X00 11,45 11,43 11,41 11,43 0,999 min 99,48%
X01 11,47 11,52 11,44 11,47 0,996 max 100,49%
X02 11,48 11,46 11,51 11,48 0,995 range 1,00%
X03 11,40 11,38 11,37 11,38 1,003
X04 11,49 11,49 11,47 11,48 0,995
X05 11,34 11,34 11,42 11,37 1,005
X06 11,41 11,35 11,37 11,37 1,004
X07 11,41 11,41 11,40 11,40 1,002
X08 11,40 11,36 11,42 11,40 1,003
X09 11,42 11,40 11,42 11,41 1,001
X10 11,47 11,44 11,45 11,45 0,998
Avg. total 11,424
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3. Pre-tests results for C3 tyres
3.1. Pre-tests results on Coefficient of rolling resistance (Cr) - Tyre F
3.1.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Tyre N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
F00 3 3.98 0.05 1.32 0.11
F01 3 3.94 0.01 0.30 0.02
F02 3 3.95 0.01 0.30 0.02
F03 3 3.94 0.02 0.54 0.04
F04 3 3.96 0.02 0.39 0.03
F05 3 3.95 0.03 0.64 0.05
F06 3 3.96 0.02 0.53 0.04
F07 3 3.98 0.04 1.06 0.08
F08 3 3.96 0.02 0.39 0.03
F09 3 3.95 0.03 0.64 0.05
3.1.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
3.93 4.04 4.303 3.85
3.92 3.95 4.303 3.91
3.94 3.96 4.303 3.92
3.91 3.96 4.303 3.89
3.94 3.98 4.303 3.92
3.92 3.98 4.303 3.89
3.93 3.98 4.303 3.91
3.93 4.03 4.303 3.87
3.94 3.98 4.303 3.92
3.92 3.98 4.303 3.89
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Confidence_interval_T_up Half_amplitude_T
4.12 0.13
3.97 0.03
3.98 0.03
3.99 0.05
4.00 0.04
4.01 0.06
4.01 0.05
4.08 0.10
4.00 0.04
4.01 0.06
3.1.3. Between and within contribution for the factor tyre
Tyre CEi CDi
F00 36.23 36.99
F01 18.13 1.83
F02 1.75 1.83
F03 18.13 5.94
F04 0.78 3.20
F05 1.75 8.68
F06 0.02 5.94
F07 20.71 23.74
F08 0.78 3.20
F09 1.75 8.68
3.1.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 3.96
Repeatability_standard_deviat 0.03
Limit_of_repeatability 0.08
Repeatability_exp_uncertainty 0.05
Reproducibility_stand_deviat 0.03
Limit_of_reproducibility 0.08
Reproducibility_exp_uncertaint 0.05
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3.1.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 1.37
Repro_exp_uncert_percent 1.37
3.1.6. Part of variation in percent of the Tyre out of the trial total variation
Variable Cr
Variation_part_Tyre 0.00
3.1.7. Box-plot graphics
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3.2. Pre-tests results on Coefficient of rolling resistance (Cr) - Tyre G
3.2.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Tyre N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
G00 3 4.86 0.02 0.40 0.04
G01 3 4.79 0.01 0.31 0.03
G02 3 4.79 0.01 0.20 0.02
G03 3 4.83 0.03 0.62 0.06
G04 3 4.84 0.01 0.31 0.03
G05 3 4.75 0.05 1.06 0.10
G06 3 4.84 0.00 0.00 0.00
G07 3 4.74 0.01 0.24 0.02
G08 3 4.81 0.04 0.92 0.09
G09 3 4.79 0.01 0.24 0.02
3.2.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
4.84 4.89 4.303 4.82
4.78 4.81 4.303 4.76
4.77 4.80 4.303 4.76
4.80 4.87 4.303 4.76
4.82 4.86 4.303 4.80
4.70 4.81 4.303 4.63
4.84 4.84 4.303 4.84
4.73 4.75 4.303 4.71
4.76 4.86 4.303 4.70
4.78 4.80 4.303 4.76
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Confidence_interval_T_up Half_amplitude_T
4.91 0.05
4.83 0.04
4.81 0.02
4.91 0.07
4.88 0.04
4.88 0.12
4.84 0.00
4.77 0.03
4.92 0.11
4.82 0.03
3.2.3. Between and within contribution for the factor tyre
Tyre CEi CDi
G00 23.20 5.85
G01 1.22 3.41
G02 2.69 1.46
G03 4.52 13.66
G04 8.60 3.41
G05 18.77 38.54
G06 10.25 0.00
G07 29.26 1.95
G08 0.26 29.76
G09 1.22 1.95
3.2.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 4.81
Repeatability_standard_deviat 0.03
Limit_of_repeatability 0.07
Repeatability_exp_uncertainty 0.05
Reproducibility_stand_deviat 0.05
Limit_of_reproducibility 0.13
Reproducibility_exp_uncertaint 0.09
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3.2.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 1.06
Repro_exp_uncert_percent 1.89
3.2.6. Part of variation in percent of the Tyre out of the trial total variation
Variable Cr
Variation_part_Tyre 68.37
3.2.7. Box-plot graphics
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3.3. Pre-tests results on Coefficient of rolling resistance (Cr) - Tyre H
3.3.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Tyre N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
H00 3 5.57 0.00 0.00 0.00
H01 3 5.54 0.01 0.10 0.01
H02 3 5.51 0.03 0.47 0.05
H03 3 5.51 0.01 0.18 0.02
H04 3 5.48 0.02 0.45 0.05
H05 3 5.46 0.04 0.65 0.07
H06 3 5.44 0.01 0.21 0.02
H07 3 5.42 0.02 0.28 0.03
H08 3 5.39 0.03 0.64 0.07
H09 3 5.49 0.02 0.27 0.03
3.3.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
5.57 5.57 4.303 5.57
5.54 5.55 4.303 5.53
5.48 5.54 4.303 5.45
5.50 5.52 4.303 5.49
5.45 5.51 4.303 5.42
5.42 5.50 4.303 5.37
5.43 5.45 4.303 5.41
5.40 5.43 4.303 5.38
5.35 5.43 4.303 5.30
5.48 5.51 4.303 5.46
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Confidence_interval_T_up Half_amplitude_T
5.57 0.00
5.56 0.01
5.57 0.06
5.53 0.02
5.54 0.06
5.55 0.09
5.47 0.03
5.45 0.04
5.47 0.09
5.53 0.04
3.3.3. Between and within contribution for the factor tyre
Tyre CEi CDi
H00 27.43 0.00
H01 13.58 0.72
H02 3.05 15.22
H03 3.05 2.17
H04 0.04 13.77
H05 1.35 28.26
H06 6.36 2.90
H07 15.05 5.07
H08 29.50 26.81
H09 0.60 5.07
3.3.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 5.48
Repeatability_standard_deviat 0.02
Limit_of_repeatability 0.06
Repeatability_exp_uncertainty 0.04
Reproducibility_stand_deviat 0.06
Limit_of_reproducibility 0.16
Reproducibility_exp_uncertaint 0.12
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3.3.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 0.77
Repro_exp_uncert_percent 2.15
3.3.6. Part of variation in percent of the Tyre out of the trial total variation
Variable Cr
Variation_part_Tyre 87.18
3.3.7. Box-plot graphics
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3.4. Pre-tests results on Coefficient of rolling resistance (Cr) - Tyre Tyre J
3.4.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Tyre N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
J00 3 5.86 0.05 0.80 0.09
J01 3 6.06 0.03 0.55 0.07
J02 3 5.88 0.04 0.66 0.08
J03 3 5.85 0.03 0.49 0.06
J04 3 5.86 0.02 0.30 0.04
J05 3 5.85 0.04 0.65 0.08
J06 3 5.94 0.05 0.78 0.09
J07 3 5.85 0.04 0.62 0.07
J08 3 5.85 0.04 0.60 0.07
J09 3 5.88 0.04 0.65 0.08
3.4.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
5.81 5.92 4.303 5.74
6.02 6.10 4.303 5.98
5.84 5.93 4.303 5.79
5.82 5.88 4.303 5.78
5.84 5.88 4.303 5.81
5.81 5.90 4.303 5.76
5.89 5.99 4.303 5.83
5.81 5.89 4.303 5.76
5.81 5.88 4.303 5.76
5.84 5.93 4.303 5.79
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Confidence_interval_T_up Half_amplitude_T
5.98 0.12
6.14 0.08
5.98 0.10
5.92 0.07
5.90 0.04
5.95 0.10
6.06 0.12
5.94 0.09
5.93 0.09
5.98 0.09
3.4.3. Between and within contribution for the factor tyre
Tyre CEi CDi
J00 1.73 16.34
J01 73.02 8.17
J02 0.04 11.02
J03 3.67 6.12
J04 2.61 2.30
J05 3.14 10.80
J06 6.95 15.86
J07 4.16 9.77
J08 4.64 9.01
J09 0.03 10.60
3.4.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 5.89
Repeatability_standard_deviat 0.04
Limit_of_repeatability 0.10
Repeatability_exp_uncertainty 0.07
Reproducibility_stand_deviat 0.07
Limit_of_reproducibility 0.20
Reproducibility_exp_uncertaint 0.15
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3.4.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 1.25
Repro_exp_uncert_percent 2.49
3.4.6. Part of variation in percent of the Tyre out of the trial total variation
Variable Cr
Variation_part_Tyre 74.61
3.4.7. Box-plot graphics
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3.5. Pre-tests results on Coefficient of rolling resistance (Cr) - Tyre K
3.5.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Tyre N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
K00 3 6.58 0.03 0.44 0.06
K01 3 6.61 0.03 0.44 0.06
K02 3 6.71 0.02 0.30 0.04
K03 3 6.64 0.03 0.38 0.05
K04 3 6.66 0.03 0.50 0.07
K05 3 6.65 0.02 0.33 0.04
K06 3 6.68 0.03 0.46 0.06
K07 3 6.58 0.03 0.44 0.06
K08 3 6.64 0.03 0.43 0.06
K09 3 6.62 0.04 0.65 0.09
3.5.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
6.55 6.62 4.303 6.51
6.58 6.65 4.303 6.54
6.69 6.73 4.303 6.66
6.61 6.66 4.303 6.57
6.62 6.70 4.303 6.57
6.62 6.67 4.303 6.59
6.65 6.71 4.303 6.60
6.54 6.61 4.303 6.50
6.60 6.67 4.303 6.56
6.57 6.67 4.303 6.51
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Confidence_interval_T_up Half_amplitude_T
6.66 0.07
6.69 0.07
6.76 0.05
6.70 0.06
6.74 0.08
6.70 0.05
6.76 0.08
6.65 0.07
6.71 0.07
6.73 0.11
3.5.3. Between and within contribution for the factor tyre
Tyre CEi CDi
K00 17.50 9.66
K01 3.40 9.66
K02 35.41 4.48
K03 0.00 7.24
K04 3.21 12.76
K05 1.03 5.52
K06 13.05 10.69
K07 24.63 9.66
K08 0.00 9.31
K09 1.76 21.03
3.5.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 6.64
Repeatability_standard_deviat 0.03
Limit_of_repeatability 0.08
Repeatability_exp_uncertainty 0.06
Reproducibility_stand_deviat 0.05
Limit_of_reproducibility 0.13
Reproducibility_exp_uncertaint 0.09
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3.5.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 0.89
Repro_exp_uncert_percent 1.43
3.5.6. Part of variation in percent of the Tyre out of the trial total variation
Variable Cr
Variation_part_Tyre 60.91
3.5.7. Box-plot graphics
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3.6. Pre-tests results on Coefficient of rolling resistance (Cr) - Tyre Y
3.6.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Tyre N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
Y00 3 7.75 0.01 0.17 0.03
Y01 3 7.72 0.03 0.42 0.06
Y02 3 7.82 0.04 0.46 0.07
Y03 3 7.73 0.06 0.71 0.11
Y04 3 7.78 0.07 0.90 0.14
Y05 3 7.82 0.06 0.82 0.13
Y06 3 7.66 0.06 0.72 0.11
Y07 3 7.64 0.04 0.53 0.08
Y08 3 7.69 0.05 0.60 0.09
Y09 3 7.81 0.06 0.70 0.11
3.6.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
7.74 7.77 4.303 7.72
7.68 7.76 4.303 7.64
7.78 7.86 4.303 7.73
7.67 7.80 4.303 7.60
7.70 7.86 4.303 7.61
7.75 7.90 4.303 7.66
7.59 7.72 4.303 7.52
7.59 7.68 4.303 7.54
7.64 7.75 4.303 7.58
7.75 7.88 4.303 7.68
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Confidence_interval_T_up Half_amplitude_T
7.79 0.03
7.80 0.08
7.91 0.09
7.87 0.14
7.96 0.17
7.98 0.16
7.79 0.14
7.74 0.10
7.81 0.11
7.95 0.14
3.6.3. Between and within contribution for the factor tyre
Tyre CEi CDi
Y00 0.19 0.75
Y01 1.33 4.31
Y02 14.41 5.26
Y03 0.19 12.46
Y04 3.59 20.09
Y05 15.89 16.92
Y06 18.61 12.42
Y07 27.78 6.70
Y08 5.85 8.66
Y09 12.17 12.42
3.6.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 7.74
Repeatability_standard_deviat 0.05
Limit_of_repeatability 0.14
Repeatability_exp_uncertainty 0.10
Reproducibility_stand_deviat 0.08
Limit_of_reproducibility 0.22
Reproducibility_exp_uncertaint 0.16
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3.6.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 1.28
Repro_exp_uncert_percent 2.02
3.6.6. Part of variation in percent of the Tyre out of the trial total variation
Variable Cr
Variation_part_Tyre 60.01
3.6.7. Box-plot graphics
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4. Correction Factors for C3 tyres
Tyre Test 2 Test 3 Test 4 Avg. Correction Factor
F00 4,05 3,95 3,95 3,98 0,993 min 99,31%
F01 3,94 3,94 3,92 3,94 1,005 max 100,50%
F02 3,96 3,94 3,94 3,95 1,002 range 1,19%
F03 3,95 3,94 3,91 3,94 1,005
F04 3,96 3,97 3,94 3,96 0,999
F05 3,97 3,95 3,92 3,95 1,002
F06 3,97 3,96 3,93 3,96 1,000
F07 4,03 3,96 3,94 3,98 0,995
F08 3,97 3,94 3,96 3,96 0,999
F09 3,95 3,97 3,92 3,95 1,002
Avg. total 3,957
Tyre Test 2 Test 3 Test 4 Avg. Correction Factor
G00 4,88 4,84 4,86 4,86 0,988 min 98,80%
G01 4,81 4,78 4,80 4,79 1,003 max 101,38%
G02 4,79 4,80 4,78 4,79 1,004 range 2,58%
G03 4,82 4,86 4,81 4,83 0,995
G04 4,85 4,84 4,82 4,84 0,993
G05 4,80 4,77 4,70 4,75 1,011
G06 4,84 4,84 4,84 4,84 0,992
G07 4,75 4,73 4,75 4,74 1,014
G08 4,85 4,77 4,82 4,81 0,999
G09 4,81 4,79 4,79 4,79 1,003
Avg. total 4,806
Tyre Test 2 Test 3 Test 4 Avg. Correction Factor
H00 5,57 5,57 5,57 5,57 0,984 min 98,41%
H01 5,54 5,54 5,55 5,54 0,989 max 101,70%
H02 5,53 5,52 5,48 5,51 0,995 range 3,29%
H03 5,52 5,50 5,51 5,51 0,995
H04 5,48 5,50 5,45 5,48 1,001
H05 5,42 5,47 5,49 5,46 1,004
H06 5,45 5,43 5,43 5,44 1,008
H07 5,41 5,40 5,43 5,42 1,012
H08 5,39 5,35 5,42 5,39 1,017
H09 5,51 5,49 5,48 5,49 0,998
Avg. total 5,481
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Tyre Test 2 Test 3 Test 4 Avg. Correction Factor
J00 5,91 5,87 5,81 5,86 1,004 min 97,18%
J01 6,10 6,04 6,04 6,06 0,972 max 100,74%
J02 5,93 5,87 5,86 5,88 1,001 range 3,56%
J03 5,88 5,84 5,82 5,85 1,007
J04 5,88 5,85 5,81 5,85 1,007
J05 5,88 5,87 5,81 5,85 1,006
J06 5,99 5,94 5,90 5,94 0,991
J07 5,88 5,85 5,84 5,86 1,006
J08 5,88 5,84 5,81 5,85 1,007
J09 5,93 5,88 5,85 5,88 1,001
Avg. total 5,888
Tyre Test 2 Test 3 Test 4 Avg. Correction Factor
K00 6,62 6,58 6,56 6,58 1,008 min 98,92%
K01 6,64 6,61 6,59 6,61 1,003 max 100,92%
K02 6,73 6,70 6,69 6,71 0,989 range 2,00%
K03 6,66 6,63 6,62 6,64 1,000
K04 6,69 6,65 6,63 6,66 0,997
K05 6,67 6,64 6,64 6,65 0,998
K06 6,70 6,69 6,64 6,68 0,993
K07 6,61 6,57 6,55 6,58 1,009
K08 6,66 6,64 6,61 6,64 1,000
K09 6,66 6,62 6,58 6,62 1,002
Avg. total 6,636
Tyre Test 2 Test 3 Test 4 Avg. Correction Factor
Y00 7,76 7,74 7,75 7,75 0,999 min 98,98%
Y01 7,75 7,72 7,69 7,72 1,003 max 101,39%
Y02 7,85 7,82 7,78 7,82 0,990 range 2,41%
Y03 7,80 7,71 7,70 7,73 1,001
Y04 7,86 7,73 7,75 7,78 0,995
Y05 7,87 7,85 7,75 7,82 0,990
Y06 7,71 7,66 7,60 7,66 1,011
Y07 7,68 7,64 7,60 7,64 1,014
Y08 7,75 7,67 7,67 7,69 1,006
Y09 7,87 7,81 7,76 7,81 0,991
Avg. total 7,743
Annex D - Alignment tests results - Cr (N/kN)
1. Raw data
1.1. C1-C2 tyres Corrected individual values 2-4
Measures 1 2 3 4 Moy 2-4
Sig 2-4
Correction Factor
Corrected Average
2 3 4 sigma
Lab0 A00 6,83 6,87 6,94 6,91 6,907 0,035 0,994 6,864 6,83 6,90 6,87 0,035
Lab1 A01 6,41 6,34 6,30 6,33 6,319 0,021 1,014 6,405 6,42 6,38 6,41 0,021
Lab2 A02 6,67 6,63 6,66 6,66 6,650 0,017 0,996 6,625 6,61 6,64 6,64 0,017
Lab3 A03 6,40 6,43 6,45 6,39 6,423 0,031 1,009 6,480 6,49 6,51 6,45 0,031
Lab4 A04 6,52 6,50 6,44 6,44 6,460 0,035 1,015 6,554 6,59 6,53 6,53 0,035
Lab5 A05 6,35 6,32 6,29 6,19 6,267 0,068 0,993 6,225 6,28 6,25 6,15 0,068
Lab6 A06 6,31 6,25 6,21 6,23 6,230 0,020 1,005 6,260 6,28 6,24 6,26 0,020
Lab7 A07 6,54 6,52 6,51 6,51 6,513 0,006 0,991 6,457 6,46 6,45 6,45 0,006
Lab8 A08 6,83 6,82 6,81 6,79 6,807 0,015 0,994 6,768 6,78 6,77 6,75 0,015
Lab9 A09 6,82 6,78 6,81 6,78 6,790 0,017 0,990 6,721 6,71 6,74 6,71 0,017
Lab10 A10 6,73 6,69 6,62 6,61 6,640 0,044 1,000 6,642 6,69 6,62 6,61 0,044
6,545
Corrected individual values 2-4
Measures 1 2 3 4 Moy 2-4
Sig 2-4
Correction Factor
Corrected Average
2 3 4 sigma
Lab0 B00 7,75 7,71 7,74 7,76 7,737 0,025 0,995 7,695 7,67 7,70 7,72 0,025
Lab1 B01 7,31 7,29 7,21 7,26 7,256 0,040 0,992 7,198 7,23 7,16 7,21 0,039
Lab2 B02 7,59 7,57 7,54 7,53 7,547 0,021 0,998 7,534 7,56 7,53 7,52 0,021
Lab3 B03 7,31 7,36 7,37 7,33 7,353 0,021 1,001 7,363 7,37 7,38 7,34 0,021
Lab4 B04 7,56 7,56 7,54 7,51 7,537 0,025 0,996 7,508 7,53 7,51 7,48 0,025
Lab5 B05 7,16 7,18 7,15 7,14 7,157 0,021 1,004 7,185 7,21 7,18 7,17 0,021
Lab6 B06 7,31 7,26 7,24 7,26 7,253 0,012 1,000 7,254 7,26 7,24 7,26 0,012
Lab7 B07 7,23 7,17 7,14 7,14 7,150 0,017 1,010 7,224 7,24 7,21 7,21 0,018
Lab8 B08 7,65 7,61 7,70 7,60 7,637 0,055 1,001 7,647 7,62 7,71 7,61 0,055
Lab9 B09 7,48 7,48 7,44 7,49 7,470 0,026 1,001 7,474 7,48 7,44 7,49 0,026
Lab10 B10 7,49 7,46 7,46 7,44 7,453 0,012 1,001 7,463 7,47 7,47 7,45 0,012
7,413
Corrected individual values 2-4
Measures 1 2 3 4 Moy 2-4
Sig 2-4
Correction Factor
Corrected Average
2 3 4 sigma
Lab0 C00 8,66 8,73 8,73 8,76 8,740 0,017 1,013 8,850 8,84 8,84 8,87 0,018
Lab1 C01 8,65 8,58 8,56 8,56 8,567 0,013 1,001 8,572 8,59 8,56 8,56 0,013
Lab2 C02 8,68 8,61 8,62 8,64 8,623 0,015 0,993 8,564 8,55 8,56 8,58 0,015
Lab3 C03 8,75 8,74 8,69 8,67 8,700 0,036 1,006 8,754 8,79 8,74 8,72 0,036
Lab4 C04 8,69 8,63 8,62 8,58 8,610 0,026 1,017 8,755 8,78 8,77 8,72 0,027
Lab5 C05 8,53 8,42 8,41 8,43 8,420 0,010 0,995 8,375 8,37 8,36 8,38 0,010
Lab6 C06 8,38 8,33 8,36 8,30 8,330 0,030 1,003 8,353 8,35 8,38 8,32 0,030
Lab7 C07 8,85 8,76 8,75 8,73 8,747 0,015 1,000 8,745 8,76 8,75 8,73 0,015
Lab8 C08 9,10 8,98 9,01 8,93 8,973 0,040 0,983 8,817 8,82 8,85 8,77 0,040
Lab9 C09 8,98 8,88 8,88 8,84 8,867 0,023 0,994 8,812 8,83 8,83 8,79 0,023
Lab10 C10 8,76 8,76 8,74 8,71 8,737 0,025 0,998 8,719 8,74 8,72 8,69 0,025
8,665
Corrected individual values 2-4
Measures 1 2 3 4 Moy 2-4
Sig 2-4
Correction Factor
Corrected Average
2 3 4 sigma
Lab0 D00 9,88 9,92 9,90 9,92 9,913 0,012 1,000 9,909 9,92 9,90 9,92 0,012
Lab1 D01 9,66 9,58 9,56 9,60 9,579 0,023 0,996 9,541 9,54 9,52 9,57 0,023
Lab2 D02 9,75 9,73 9,64 9,65 9,673 0,049 0,997 9,642 9,70 9,61 9,62 0,049
Lab3 D03 9,91 9,80 9,77 9,71 9,760 0,046 0,996 9,718 9,76 9,73 9,67 0,046
Lab4 D04 9,58 9,52 9,47 9,43 9,473 0,045 1,003 9,503 9,55 9,50 9,46 0,045
Lab5 D05 9,56 9,51 9,46 9,46 9,477 0,029 1,000 9,479 9,51 9,46 9,46 0,029
Lab6 D06 9,40 9,29 9,23 9,23 9,250 0,035 1,005 9,296 9,34 9,28 9,28 0,035
Lab7 D07 9,78 9,70 9,66 9,62 9,660 0,040 1,002 9,680 9,72 9,68 9,64 0,040
Lab8 D08 9,91 9,78 9,77 9,72 9,757 0,032 1,006 9,815 9,84 9,83 9,78 0,032
Lab9 D09 9,50 9,49 9,38 9,40 9,423 0,059 1,000 9,419 9,49 9,38 9,40 0,059
Lab10 D10 9,89 9,81 9,79 9,79 9,797 0,012 0,996 9,758 9,77 9,75 9,75 0,012
9,615
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Corrected individual values 2-4
Measures 1 2 3 4 Moy 2-4
Sig 2-4
Correction Factor
Corrected Average
2 3 4 sigma
Lab0 E00 10,30 10,30 10,33 10,26 10,297 0,035 0,996 10,258 10,26 10,29 10,22 0,035
Lab1 E01 9,52 9,42 9,42 9,42 9,419 0,001 1,006 9,471 9,47 9,47 9,47 0,001
Lab2 E02 9,89 9,85 9,77 9,78 9,800 0,044 1,000 9,801 9,85 9,77 9,78 0,044
Lab3 E03 9,96 9,94 9,90 9,93 9,923 0,021 1,002 9,943 9,96 9,92 9,95 0,021
Lab4 E04 9,84 9,84 9,82 9,77 9,810 0,036 0,998 9,789 9,82 9,80 9,75 0,036
Lab5 E05 9,63 9,57 9,58 9,52 9,557 0,032 1,005 9,603 9,62 9,63 9,57 0,032
Lab6 E06 9,77 9,71 9,66 9,67 9,680 0,026 1,002 9,702 9,73 9,68 9,69 0,027
Lab7 E07 9,82 9,79 9,75 9,74 9,760 0,026 1,003 9,789 9,82 9,78 9,77 0,027
Lab8 E08 10,17 10,11 10,14 10,09 10,113 0,025 0,996 10,075 10,07 10,10 10,05 0,025
Lab9 E09 9,74 9,77 9,75 9,77 9,763 0,012 0,997 9,730 9,74 9,72 9,74 0,012
Lab10 E10 10,06 10,01 9,98 9,99 9,993 0,015 0,996 9,949 9,97 9,94 9,95 0,015
9,828
Corrected individual values 2-4
Measures 1 2 3 4 Moy 2-4
Sig 2-4
Correction Factor
Corrected Average
2 3 4 sigma
Lab0 X00 11,49 11,40 11,37 11,37 11,380 0,017 0,999 11,373 11,39 11,36 11,36 0,017
Lab1 X01 11,26 11,21 11,17 11,14 11,177 0,036 0,996 11,127 11,16 11,12 11,09 0,036
Lab2 X02 11,62 11,54 11,49 11,48 11,503 0,032 0,995 11,444 11,48 11,43 11,42 0,032
Lab3 X03 11,33 11,27 11,23 11,23 11,243 0,023 1,003 11,282 11,31 11,27 11,27 0,023
Lab4 X04 11,41 11,36 11,32 11,28 11,320 0,040 0,995 11,263 11,30 11,26 11,22 0,040
Lab5 X05 11,19 11,10 11,11 11,04 11,083 0,038 1,005 11,137 11,15 11,16 11,09 0,038
Lab6 X06 11,30 11,24 11,24 11,19 11,223 0,029 1,004 11,273 11,29 11,29 11,24 0,029
Lab7 X07 11,32 11,31 11,28 11,26 11,283 0,025 1,002 11,302 11,33 11,30 11,28 0,025
Lab8 X08 11,71 11,69 11,63 11,62 11,647 0,038 1,003 11,676 11,72 11,66 11,65 0,038
Lab9 X09 11,36 11,19 11,21 11,26 11,220 0,036 1,001 11,229 11,20 11,22 11,27 0,036
Lab10 X10 11,47 11,40 11,36 11,35 11,370 0,026 0,998 11,344 11,37 11,33 11,32 0,026
11,314
1.2. C3 tyres Corrected individual values 2-4
Measures 1 2 3 4 Moy 2-4
Sig 2-4
Correction Factor
Corrected Average
2 3 4 sigma
Lab0 F00 3,85 3,82 3,79 3,79 3,800 0,017 0,993 3,774 3,79 3,76 3,76 0,017
Lab1 F01 3,83 3,81 3,80 3,81 3,806 0,007 1,005 3,825 3,83 3,82 3,83 0,007
Lab2 F02 4,00 3,95 3,93 3,92 3,933 0,015 1,002 3,939 3,96 3,94 3,93 0,015
Lab3 F03 3,75 3,74 3,72 3,71 3,723 0,015 1,005 3,742 3,76 3,74 3,73 0,015
Lab4 F04 3,71 3,69 3,68 3,67 3,680 0,010 0,999 3,676 3,69 3,68 3,67 0,010
Lab5 F05 3,88 3,84 3,84 3,83 3,837 0,006 1,002 3,843 3,85 3,85 3,84 0,006
Lab6 F06 3,81 3,80 3,79 3,77 3,787 0,015 1,000 3,786 3,80 3,79 3,77 0,015
Lab7 F07 3,89 3,88 3,87 3,88 3,877 0,006 0,995 3,856 3,86 3,85 3,86 0,006
Lab8 F08 3,83 3,82 3,75 3,74 3,770 0,044 0,999 3,766 3,82 3,75 3,74 0,044
Lab9 F09 3,98 3,93 3,90 3,90 3,910 0,017 1,002 3,916 3,94 3,91 3,91 0,017
3,812
Corrected individual values 2-4
Measures 1 2 3 4 Moy 2-4
Sig 2-4
Correction Factor
Corrected Average
2 3 4 sigma
Lab0 G00 4,65 4,66 4,61 4,61 4,627 0,029 0,988 4,571 4,60 4,55 4,55 0,029
Lab1 G01 4,78 4,70 4,71 4,76 4,723 0,028 1,003 4,737 4,72 4,72 4,77 0,028
Lab2 G02 5,08 5,04 5,03 5,03 5,033 0,006 1,004 5,054 5,06 5,05 5,05 0,006
Lab3 G03 4,75 4,73 4,69 4,67 4,697 0,031 0,995 4,672 4,70 4,67 4,65 0,030
Lab4 G04 4,57 4,56 4,56 4,57 4,563 0,006 0,993 4,530 4,53 4,53 4,54 0,006
Lab5 G05 4,88 4,85 4,85 4,80 4,833 0,029 1,011 4,887 4,90 4,90 4,85 0,029
Lab6 G06 4,69 4,66 4,64 4,63 4,643 0,015 0,992 4,606 4,62 4,60 4,59 0,015
Lab7 G07 4,94 4,98 4,89 4,94 4,937 0,045 1,014 5,005 5,05 4,96 5,01 0,046
Lab8 G08 4,75 4,72 4,69 4,68 4,697 0,021 0,999 4,691 4,71 4,68 4,67 0,021
Lab9 G09 5,01 4,95 4,94 4,90 4,930 0,026 1,003 4,944 4,96 4,95 4,91 0,027
4,770
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Corrected individual values 2-4
Measures 1 2 3 4 Moy 2-4
Sig 2-4
Correction Factor
Corrected Average
2 3 4 sigma
Lab0 H00 5,30 5,30 5,25 5,21 5,253 0,045 0,984 5,170 5,22 5,17 5,13 0,044
Lab1 H01 5,46 5,43 5,45 5,45 5,441 0,009 0,989 5,380 5,37 5,39 5,38 0,009
Lab2 H02 5,73 5,79 5,70 5,74 5,743 0,045 0,995 5,713 5,76 5,67 5,71 0,045
Lab3 H03 5,43 5,41 5,39 5,39 5,397 0,012 0,995 5,368 5,38 5,36 5,36 0,011
Lab4 H04 5,24 5,21 5,21 5,19 5,203 0,012 1,001 5,206 5,21 5,21 5,19 0,012
Lab5 H05 5,42 5,38 5,37 5,32 5,357 0,032 1,004 5,376 5,40 5,39 5,34 0,032
Lab6 H06 5,34 5,34 5,33 5,31 5,327 0,015 1,008 5,368 5,38 5,37 5,35 0,015
Lab7 H07 5,40 5,33 5,37 5,38 5,360 0,026 1,012 5,425 5,39 5,43 5,45 0,027
Lab8 H08 5,24 5,27 5,24 5,23 5,247 0,021 1,017 5,336 5,36 5,33 5,32 0,021
Lab9 H09 5,76 5,61 5,61 5,61 5,610 0,000 0,998 5,597 5,60 5,60 5,60 0,000
5,394
Corrected individual values 2-4
Measures 1 2 3 4 Moy 2-4
Sig 2-4
Correction Factor
Corrected Average
2 3 4 sigma
Lab0 J00 5,79 5,74 5,72 5,70 5,720 0,020 1,004 5,746 5,77 5,75 5,73 0,020
Lab1 J01 5,70 5,71 5,69 5,68 5,693 0,015 0,972 5,532 5,55 5,53 5,52 0,015
Lab2 J02 5,91 5,92 5,89 5,89 5,900 0,017 1,001 5,904 5,92 5,89 5,89 0,017
Lab3 J03 5,63 5,60 5,58 5,55 5,577 0,025 1,007 5,613 5,64 5,62 5,59 0,025
Lab4 J04 5,58 5,56 5,54 5,52 5,539 0,016 1,006 5,570 5,59 5,57 5,55 0,016
Lab5 J05 5,86 5,84 5,82 5,80 5,820 0,020 1,006 5,855 5,88 5,86 5,84 0,020
Lab6 J06 5,66 5,65 5,64 5,62 5,637 0,015 0,991 5,587 5,60 5,59 5,57 0,015
Lab7 J07 5,83 5,83 5,83 5,80 5,820 0,017 1,007 5,861 5,87 5,87 5,84 0,017
Lab8 J08 5,78 5,77 5,68 5,66 5,703 0,059 1,007 5,745 5,81 5,72 5,70 0,059
Lab9 J09 5,87 5,86 5,86 5,82 5,847 0,023 1,001 5,850 5,86 5,86 5,82 0,023
5,726
Corrected individual values 2-4
Measures 1 2 3 4 Moy 2-4
Sig 2-4
Correction Factor
Corrected Average
2 3 4 sigma
Lab0 K00 6,62 6,47 6,49 6,49 6,483 0,012 1,008 6,534 6,52 6,54 6,54 0,012
Lab1 K01 6,66 6,64 6,61 6,59 6,614 0,028 1,003 6,637 6,67 6,63 6,61 0,028
Lab2 K02 6,94 6,87 6,88 6,85 6,867 0,015 0,989 6,792 6,80 6,81 6,78 0,015
Lab3 K03 6,56 6,55 6,52 6,51 6,527 0,021 1,000 6,527 6,55 6,52 6,51 0,021
Lab4 K04 6,52 6,48 6,48 6,48 6,480 0,000 0,997 6,459 6,46 6,46 6,46 0,000
Lab5 K05 6,74 6,75 6,74 6,70 6,730 0,026 0,998 6,717 6,74 6,73 6,69 0,026
Lab6 K06 6,60 6,59 6,58 6,56 6,577 0,015 0,993 6,533 6,55 6,54 6,52 0,015
Lab7 K07 6,71 6,75 6,74 6,70 6,730 0,026 1,009 6,792 6,81 6,80 6,76 0,027
Lab8 K08 6,63 6,63 6,56 6,55 6,580 0,044 1,000 6,580 6,63 6,56 6,55 0,044
Lab9 K09 6,80 7,08 7,05 7,06 7,063 0,015 1,002 7,081 7,10 7,07 7,08 0,015
6,665
Corrected individual values 2-4
Measures 1 2 3 4 Moy 2-4
Sig 2-4
Correction Factor
Corrected Average
2 3 4 sigma
Lab0 Y00 7,55 7,49 7,42 7,42 7,443 0,040 0,999 7,435 7,48 7,41 7,41 0,040
Lab1 Y01 7,69 7,63 7,57 7,60 7,601 0,035 1,003 7,624 7,66 7,59 7,63 0,035
Lab2 Y02 8,01 7,89 7,91 7,92 7,907 0,015 0,990 7,830 7,81 7,83 7,84 0,015
Lab3 Y03 7,56 7,52 7,50 7,48 7,500 0,020 1,001 7,509 7,53 7,51 7,49 0,020
Lab4 Y04 7,50 7,46 7,43 7,42 7,437 0,021 0,995 7,400 7,42 7,39 7,38 0,021
Lab5 Y05 7,77 7,73 7,67 7,70 7,700 0,030 0,990 7,621 7,65 7,59 7,62 0,030
Lab6 Y06 7,47 7,45 7,41 7,42 7,427 0,021 1,011 7,511 7,53 7,49 7,50 0,021
Lab7 Y07 7,54 7,54 7,53 7,47 7,513 0,038 1,014 7,617 7,64 7,63 7,57 0,038
Lab8 Y08 7,56 7,54 7,53 7,50 7,523 0,021 1,006 7,571 7,59 7,58 7,55 0,021
Lab9 Y09 7,80 7,81 7,78 7,78 7,790 0,017 0,991 7,720 7,74 7,71 7,71 0,017
7,584
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2. Qualification of reference machines
2.1. Sigma m for C1-C2 machines (based on corrected raw data)
Laboratory Sigma A Sigma B Sigma C Sigma D Sigma E Sigma X Sigma m
Lab0 0,035 0,025 0,018 0,012 0,035 0,017 0,025
Lab1 0,021 0,039 0,013 0,023 0,001 0,036 0,026
Lab2 0,017 0,021 0,015 0,049 0,044 0,032 0,032
Lab3 0,031 0,021 0,036 0,046 0,021 0,023 0,031
Lab4 0,035 0,025 0,027 0,045 0,036 0,040 0,035
Lab5 0,068 0,021 0,010 0,029 0,032 0,038 0,037
Lab6 0,020 0,012 0,030 0,035 0,027 0,029 0,026
Lab7 0,006 0,018 0,015 0,040 0,027 0,025 0,024
Lab8 0,015 0,055 0,040 0,032 0,025 0,038 0,036
Lab9 0,017 0,026 0,023 0,059 0,012 0,036 0,033
Lab10 0,044 0,012 0,025 0,012 0,015 0,026 0,025
2.2. Sigma m for C3 machines (based on corrected raw data)
Laboratory Sigma F Sigma G Sigma H Sigma J Sigma K Sigma Y Sigma m
Lab0 0,017 0,029 0,044 0,020 0,012 0,040 0,030
Lab1 0,007 0,028 0,009 0,015 0,028 0,035 0,023
Lab2 0,015 0,006 0,045 0,017 0,015 0,015 0,022
Lab3 0,015 0,030 0,011 0,025 0,021 0,020 0,021
Lab4 0,010 0,006 0,012 0,016 0,000 0,021 0,013
Lab5 0,006 0,029 0,032 0,020 0,026 0,030 0,026
Lab6 0,015 0,015 0,015 0,015 0,015 0,021 0,016
Lab7 0,006 0,046 0,027 0,017 0,027 0,038 0,030
Lab8 0,044 0,021 0,021 0,059 0,044 0,021 0,038
Lab9 0,017 0,027 0,000 0,023 0,015 0,017 0,019
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3. Statistical analysis of the Interlaboratories results – Cr (N/kN)
3.1. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre A
3.1.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Laboratory N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
00 3 6.864 0.035 0.508 0.070
01 3 6.405 0.021 0.334 0.043
02 3 6.625 0.017 0.260 0.035
03 3 6.480 0.031 0.476 0.062
04 3 6.554 0.035 0.536 0.070
05 3 6.225 0.068 1.086 0.135
06 3 6.260 0.020 0.321 0.040
07 3 6.457 0.006 0.089 0.011
08 3 6.768 0.015 0.224 0.030
09 3 6.721 0.017 0.255 0.034
10 3 6.642 0.044 0.656 0.087
3.1.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
6.824 6.903 4.303 6.777
6.381 6.429 4.303 6.352
6.606 6.645 4.303 6.582
6.446 6.515 4.303 6.404
6.514 6.594 4.303 6.467
6.148 6.301 4.303 6.057
6.237 6.283 4.303 6.210
6.450 6.463 4.303 6.443
6.751 6.785 4.303 6.730
6.702 6.740 4.303 6.678
6.592 6.691 4.303 6.533
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Confidence_interval_T_up Half_amplitude_T
6.950 0.087
6.458 0.053
6.668 0.043
6.557 0.077
6.641 0.087
6.393 0.168
6.310 0.050
6.471 0.014
6.805 0.038
6.764 0.043
6.750 0.108
3.1.3. Between and within contribution for the factor laboratory
Laboratory CEi CDi
00 24.50 10.51
01 4.79 3.95
02 1.54 2.57
03 1.02 8.19
04 0.02 10.65
05 24.89 39.43
06 19.70 3.48
07 1.90 0.28
08 11.95 1.99
09 7.45 2.54
10 2.25 16.40
3.1.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 6.545
Repeatability_standard_deviat 0.032
Limit_of_repeatability 0.091
Repeatability_exp_uncertainty 0.065
Reproducibility_stand_deviat 0.205
Limit_of_reproducibility 0.574
Reproducibility_exp_uncertaint 0.410
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3.1.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 0.99
Repro_exp_uncert_percent 6.27
3.1.6. Part of variation in percent of the laboratories on the total variation
Variable Cr
Variation_part_labo 97.49
3.1.7. Trueness study - Estimation and significativity of the bias
Laboratory
number of
nonmissing
values, Cr Bias Inc_bias IC_inf_bias IC_sup_bias
00 3 0.318 0.194 -0.062 0.698
01 3 -0.141 0.194 -0.521 0.239
02 3 0.080 0.194 -0.300 0.460
03 3 -0.065 0.194 -0.445 0.315
04 3 0.008 0.194 -0.372 0.389
05 3 -0.321 0.194 -0.701 0.059
06 3 -0.285 0.194 -0.665 0.095
07 3 -0.089 0.194 -0.469 0.291
08 3 0.222 0.194 -0.158 0.602
09 3 0.176 0.194 -0.205 0.556
10 3 0.096 0.194 -0.284 0.476
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3.1.8. Box-plot graphics Tyre A
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3.2. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre B
3.2.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Laboratory N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
00 3 7.695 0.025 0.325 0.050
01 3 7.198 0.039 0.547 0.079
02 3 7.534 0.021 0.276 0.042
03 3 7.363 0.021 0.283 0.042
04 3 7.508 0.025 0.334 0.050
05 3 7.185 0.021 0.291 0.042
06 3 7.254 0.012 0.159 0.023
07 3 7.224 0.018 0.242 0.035
08 3 7.647 0.055 0.721 0.110
09 3 7.474 0.026 0.354 0.053
10 3 7.463 0.012 0.155 0.023
3.2.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
7.666 7.723 4.303 7.632
7.154 7.243 4.303 7.101
7.511 7.558 4.303 7.483
7.340 7.387 4.303 7.312
7.480 7.537 4.303 7.446
7.161 7.208 4.303 7.133
7.241 7.267 4.303 7.225
7.205 7.244 4.303 7.181
7.585 7.709 4.303 7.510
7.444 7.504 4.303 7.408
7.450 7.477 4.303 7.435
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Confidence_interval_T_up Half_amplitude_T
7.757 0.062
7.296 0.098
7.586 0.052
7.415 0.052
7.571 0.062
7.237 0.052
7.283 0.029
7.268 0.043
7.784 0.137
7.540 0.066
7.492 0.029
3.2.3. Between and within contribution for the factor laboratory
Laboratory CEi CDi
00 24.30 7.44
01 14.18 18.40
02 4.50 5.13
03 0.77 5.16
04 2.78 7.46
05 16.04 5.18
06 7.81 1.58
07 10.95 3.64
08 16.77 36.11
09 1.12 8.32
10 0.77 1.59
3.2.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 7.413
Repeatability_standard_deviat 0.028
Limit_of_repeatability 0.077
Repeatability_exp_uncertainty 0.055
Reproducibility_stand_deviat 0.182
Limit_of_reproducibility 0.509
Reproducibility_exp_uncertaint 0.364
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3.2.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 0.75
Repro_exp_uncert_percent 4.91
3.2.6. Part of variation in percent of the laboratories on the total variation
Variable Cr
Variation_part_labo 97.68
3.2.7. Trueness study - Estimation and significativity of the bias
Laboratory
number of
nonmissing
values, Cr Bias Inc_bias IC_inf_bias IC_sup_bias
00 3 0.281 0.172 -0.056 0.619
01 3 -0.215 0.172 -0.552 0.122
02 3 0.121 0.172 -0.216 0.458
03 3 -0.050 0.172 -0.387 0.287
04 3 0.095 0.172 -0.242 0.432
05 3 -0.229 0.172 -0.566 0.109
06 3 -0.159 0.172 -0.497 0.178
07 3 -0.189 0.172 -0.526 0.148
08 3 0.234 0.172 -0.104 0.571
09 3 0.060 0.172 -0.277 0.398
10 3 0.050 0.172 -0.287 0.387
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3.2.8. Box-plot graphics Tyre B
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3.3. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre C
3.3.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Laboratory N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
00 3 8.850 0.018 0.198 0.035
01 3 8.572 0.013 0.151 0.026
02 3 8.564 0.015 0.177 0.030
03 3 8.754 0.036 0.414 0.073
04 3 8.755 0.027 0.307 0.054
05 3 8.375 0.010 0.119 0.020
06 3 8.353 0.030 0.360 0.060
07 3 8.745 0.015 0.175 0.031
08 3 8.817 0.040 0.450 0.079
09 3 8.812 0.023 0.260 0.046
10 3 8.719 0.025 0.288 0.050
3.3.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
8.830 8.870 4.303 8.807
8.557 8.587 4.303 8.540
8.547 8.581 4.303 8.527
8.713 8.795 4.303 8.663
8.724 8.785 4.303 8.688
8.363 8.386 4.303 8.350
8.319 8.387 4.303 8.278
8.728 8.762 4.303 8.707
8.772 8.862 4.303 8.719
8.786 8.838 4.303 8.755
8.690 8.747 4.303 8.656
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Confidence_interval_T_up Half_amplitude_T
8.894 0.044
8.604 0.032
8.602 0.038
8.844 0.090
8.822 0.067
8.399 0.025
8.428 0.075
8.783 0.038
8.916 0.099
8.869 0.057
8.781 0.062
3.3.3. Between and within contribution for the factor laboratory
Laboratory CEi CDi
00 11.25 4.58
01 2.84 2.50
02 3.34 3.43
03 2.57 19.59
04 2.65 10.78
05 27.68 1.47
06 31.93 13.47
07 2.09 3.47
08 7.60 23.48
09 7.12 7.84
10 0.94 9.39
3.3.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 8.665
Repeatability_standard_deviat 0.025
Limit_of_repeatability 0.069
Repeatability_exp_uncertainty 0.049
Reproducibility_stand_deviat 0.176
Limit_of_reproducibility 0.492
Reproducibility_exp_uncertaint 0.351
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3.3.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 0.57
Repro_exp_uncert_percent 4.06
3.3.6. Part of variation in percent of the laboratories on the total variation
Variable Cr
Variation_part_labo 98.02
3.3.7. Trueness study - Estimation and significativity of the bias
Laboratory
number of
nonmissing
values, Cr Bias Inc_bias IC_inf_bias IC_sup_bias
00 3 0.185 0.166 -0.141 0.511
01 3 -0.093 0.166 -0.419 0.233
02 3 -0.101 0.166 -0.427 0.225
03 3 0.089 0.166 -0.238 0.415
04 3 0.090 0.166 -0.236 0.416
05 3 -0.290 0.166 -0.617 0.036
06 3 -0.312 0.166 -0.638 0.014
07 3 0.080 0.166 -0.246 0.406
08 3 0.152 0.166 -0.174 0.478
09 3 0.147 0.166 -0.179 0.474
10 3 0.054 0.166 -0.273 0.380
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3.3.8. Box-plot graphics Tyre C
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3.4. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre D
3.4.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Laboratory N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
00 3 9.909 0.012 0.116 0.023
01 3 9.541 0.023 0.243 0.046
02 3 9.642 0.049 0.510 0.098
03 3 9.718 0.046 0.470 0.091
04 3 9.503 0.045 0.476 0.090
05 3 9.479 0.029 0.305 0.058
06 3 9.296 0.035 0.374 0.070
07 3 9.680 0.040 0.414 0.080
08 3 9.815 0.032 0.329 0.065
09 3 9.419 0.059 0.622 0.117
10 3 9.758 0.012 0.118 0.023
3.4.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
9.896 9.922 4.303 9.881
9.515 9.567 4.303 9.484
9.586 9.698 4.303 9.520
9.666 9.770 4.303 9.605
9.452 9.554 4.303 9.391
9.447 9.512 4.303 9.408
9.256 9.335 4.303 9.209
9.635 9.725 4.303 9.580
9.779 9.852 4.303 9.735
9.353 9.486 4.303 9.274
9.745 9.771 4.303 9.729
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Confidence_interval_T_up Half_amplitude_T
9.938 0.029
9.599 0.058
9.764 0.122
9.831 0.113
9.615 0.112
9.551 0.072
9.382 0.086
9.780 0.100
9.896 0.080
9.565 0.146
9.787 0.029
3.4.3. Between and within contribution for the factor laboratory
Laboratory CEi CDi
00 25.57 0.86
01 1.59 3.48
02 0.22 15.62
03 3.15 13.45
04 3.67 13.22
05 5.39 5.39
06 30.00 7.83
07 1.26 10.38
08 11.86 6.76
09 11.23 22.16
10 6.06 0.85
3.4.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 9.615
Repeatability_standard_deviat 0.038
Limit_of_repeatability 0.105
Repeatability_exp_uncertainty 0.075
Reproducibility_stand_deviat 0.187
Limit_of_reproducibility 0.523
Reproducibility_exp_uncertaint 0.373
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3.4.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 0.78
Repro_exp_uncert_percent 3.88
3.4.6. Part of variation in percent of the laboratories on the total variation
Variable Cr
Variation_part_labo 95.96
3.4.7. Trueness study - Estimation and significativity of the bias
Laboratory
number of
nonmissing
values, Cr Bias Inc_bias IC_inf_bias IC_sup_bias
00 3 0.295 0.176 -0.050 0.639
01 3 -0.073 0.176 -0.418 0.271
02 3 0.027 0.176 -0.317 0.372
03 3 0.103 0.176 -0.241 0.448
04 3 -0.112 0.176 -0.456 0.233
05 3 -0.135 0.176 -0.479 0.209
06 3 -0.319 0.176 -0.663 0.025
07 3 0.065 0.176 -0.279 0.410
08 3 0.201 0.176 -0.144 0.545
09 3 -0.195 0.176 -0.539 0.149
10 3 0.143 0.176 -0.201 0.488
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3.4.8. Box-plot graphics Tyre D
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3.5. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre E
3.5.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Laboratory N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
00 3 10.258 0.035 0.341 0.070
01 3 9.471 0.001 0.009 0.002
02 3 9.801 0.044 0.445 0.087
03 3 9.943 0.021 0.210 0.042
04 3 9.789 0.036 0.368 0.072
05 3 9.603 0.032 0.336 0.065
06 3 9.702 0.027 0.273 0.053
07 3 9.789 0.027 0.271 0.053
08 3 10.075 0.025 0.249 0.050
09 3 9.730 0.012 0.118 0.023
10 3 9.949 0.015 0.153 0.030
3.5.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
10.218 10.297 4.303 10.171
9.470 9.472 4.303 9.469
9.751 9.850 4.303 9.692
9.919 9.967 4.303 9.891
9.748 9.829 4.303 9.699
9.567 9.640 4.303 9.523
9.672 9.732 4.303 9.636
9.759 9.819 4.303 9.723
10.047 10.104 4.303 10.013
9.717 9.743 4.303 9.701
9.932 9.967 4.303 9.912
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Confidence_interval_T_up Half_amplitude_T
10.345 0.087
9.473 0.002
9.909 0.108
9.995 0.052
9.878 0.089
9.684 0.080
9.768 0.066
9.855 0.066
10.138 0.062
9.758 0.029
9.987 0.038
3.5.3. Between and within contribution for the factor laboratory
Laboratory CEi CDi
00 38.38 14.75
01 26.51 0.01
02 0.16 22.90
03 2.74 5.24
04 0.32 15.60
05 10.51 12.58
06 3.29 8.48
07 0.32 8.49
08 12.69 7.58
09 2.02 1.60
10 3.05 2.79
3.5.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 9.828
Repeatability_standard_deviat 0.027
Limit_of_repeatability 0.077
Repeatability_exp_uncertainty 0.055
Reproducibility_stand_deviat 0.220
Limit_of_reproducibility 0.617
Reproducibility_exp_uncertaint 0.441
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3.5.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 0.56
Repro_exp_uncert_percent 4.49
3.5.6. Part of variation in percent of the laboratories on the total variation
Variable Cr
Variation_part_labo 98.45
3.5.7. Trueness study - Estimation and significativity of the bias
Laboratory
number of
nonmissing
values, Cr Bias Inc_bias IC_inf_bias IC_sup_bias
00 3 0.430 0.209 0.020 0.840
01 3 -0.357 0.209 -0.767 0.053
02 3 -0.028 0.209 -0.437 0.382
03 3 0.115 0.209 -0.295 0.525
04 3 -0.040 0.209 -0.449 0.370
05 3 -0.225 0.209 -0.635 0.185
06 3 -0.126 0.209 -0.536 0.284
07 3 -0.039 0.209 -0.449 0.370
08 3 0.247 0.209 -0.163 0.657
09 3 -0.099 0.209 -0.508 0.311
10 3 0.121 0.209 -0.289 0.531
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3.5.8. Box-plot graphics Tyre E
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3.6. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre X
3.6.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Laboratory N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
00 3 11.373 0.017 0.152 0.035
01 3 11.127 0.036 0.319 0.071
02 3 11.444 0.032 0.279 0.064
03 3 11.282 0.023 0.205 0.046
04 3 11.263 0.040 0.353 0.080
05 3 11.137 0.038 0.342 0.076
06 3 11.273 0.029 0.257 0.058
07 3 11.302 0.025 0.223 0.050
08 3 11.676 0.038 0.325 0.076
09 3 11.229 0.036 0.321 0.072
10 3 11.344 0.026 0.233 0.053
3.6.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
11.353 11.392 4.303 11.330
11.087 11.167 4.303 11.039
11.408 11.480 4.303 11.364
11.256 11.308 4.303 11.224
11.218 11.308 4.303 11.164
11.094 11.180 4.303 11.043
11.240 11.305 4.303 11.201
11.274 11.331 4.303 11.239
11.633 11.719 4.303 11.582
11.188 11.270 4.303 11.140
11.315 11.374 4.303 11.279
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Confidence_interval_T_up Half_amplitude_T
11.416 0.043
11.215 0.088
11.523 0.079
11.339 0.058
11.362 0.099
11.232 0.095
11.345 0.072
11.365 0.063
11.770 0.094
11.319 0.090
11.410 0.066
3.6.3. Between and within contribution for the factor laboratory
Laboratory CEi CDi
00 1.51 2.71
01 15.08 11.41
02 7.34 9.24
03 0.44 4.85
04 1.10 14.31
05 13.46 13.07
06 0.73 7.59
07 0.06 5.74
08 56.79 13.01
09 3.09 11.76
10 0.41 6.30
3.6.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 11.314
Repeatability_standard_deviat 0.032
Limit_of_repeatability 0.089
Repeatability_exp_uncertainty 0.063
Reproducibility_stand_deviat 0.154
Limit_of_reproducibility 0.432
Reproducibility_exp_uncertaint 0.308
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3.6.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 0.56
Repro_exp_uncert_percent 2.73
3.6.6. Part of variation in percent of the laboratories on the total variation
Variable Cr
Variation_part_labo 95.77
3.6.7. Trueness study - Estimation and significativity of the bias
Laboratory
number of
nonmissing
values, Cr Bias Inc_bias IC_inf_bias IC_sup_bias
00 3 0.059 0.145 -0.225 0.343
01 3 -0.187 0.145 -0.471 0.097
02 3 0.130 0.145 -0.154 0.414
03 3 -0.032 0.145 -0.316 0.252
04 3 -0.051 0.145 -0.335 0.234
05 3 -0.176 0.145 -0.461 0.108
06 3 -0.041 0.145 -0.325 0.243
07 3 -0.012 0.145 -0.296 0.273
08 3 0.362 0.145 0.078 0.646
09 3 -0.084 0.145 -0.369 0.200
10 3 0.031 0.145 -0.253 0.315
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3.6.8. Box-plot graphics Tyre X
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3.7. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre F
3.7.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Laboratory N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
00 3 3.774 0.017 0.456 0.034
01 3 3.825 0.007 0.192 0.015
02 3 3.939 0.015 0.388 0.031
03 3 3.742 0.015 0.410 0.031
04 3 3.676 0.010 0.272 0.020
05 3 3.843 0.006 0.150 0.012
06 3 3.786 0.015 0.403 0.031
07 3 3.856 0.006 0.149 0.011
08 3 3.766 0.044 1.156 0.087
09 3 3.916 0.017 0.443 0.035
3.7.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
3.754 3.793 4.303 3.731
3.816 3.833 4.303 3.806
3.922 3.957 4.303 3.901
3.724 3.759 4.303 3.704
3.665 3.688 4.303 3.651
3.836 3.849 4.303 3.828
3.769 3.803 4.303 3.748
3.850 3.863 4.303 3.842
3.717 3.815 4.303 3.658
3.896 3.936 4.303 3.873
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Confidence_interval_T_up Half_amplitude_T
3.816 0.043
3.843 0.018
3.977 0.038
3.780 0.038
3.701 0.025
3.857 0.014
3.824 0.038
3.871 0.014
3.874 0.108
3.959 0.043
3.7.3. Between and within contribution for the factor laboratory
Laboratory CEi CDi
00 2.59 8.66
01 0.27 1.58
02 28.00 6.85
03 8.60 6.90
04 32.07 2.92
05 1.59 0.98
06 1.19 6.83
07 3.36 0.97
08 3.69 55.51
09 18.65 8.81
3.7.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 3.812
Repeatability_standard_deviat 0.018
Limit_of_repeatability 0.052
Repeatability_exp_uncertainty 0.037
Reproducibility_stand_deviat 0.081
Limit_of_reproducibility 0.228
Reproducibility_exp_uncertaint 0.163
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3.7.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 0.97
Repro_exp_uncert_percent 4.27
3.7.6. Part of variation in percent of the laboratories on the total variation
Variable Cr
Variation_part_labo 94.85
3.7.7. Trueness study - Estimation and significativity of the bias
Laboratory
number of
nonmissing
values, Cr Bias Inc_bias IC_inf_bias IC_sup_bias
00 3 -0.039 0.076 -0.188 0.110
01 3 0.012 0.076 -0.137 0.161
02 3 0.127 0.076 -0.022 0.276
03 3 -0.070 0.076 -0.219 0.078
04 3 -0.136 0.076 -0.285 0.013
05 3 0.030 0.076 -0.119 0.179
06 3 -0.026 0.076 -0.175 0.123
07 3 0.044 0.076 -0.105 0.193
08 3 -0.046 0.076 -0.195 0.103
09 3 0.104 0.076 -0.045 0.253
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3.7.8. Box-plot graphics Tyre F
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3.8. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre G
3.8.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Laboratory N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
00 3 4.571 0.029 0.624 0.057
01 3 4.737 0.028 0.587 0.056
02 3 5.054 0.006 0.115 0.012
03 3 4.672 0.030 0.650 0.061
04 3 4.530 0.006 0.127 0.011
05 3 4.887 0.029 0.597 0.058
06 3 4.606 0.015 0.329 0.030
07 3 5.005 0.046 0.913 0.091
08 3 4.691 0.021 0.443 0.042
09 3 4.944 0.027 0.537 0.053
3.8.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
4.539 4.603 4.303 4.500
4.705 4.768 4.303 4.667
5.048 5.061 4.303 5.040
4.637 4.706 4.303 4.596
4.523 4.536 4.303 4.516
4.854 4.920 4.303 4.814
4.589 4.623 4.303 4.569
4.953 5.057 4.303 4.891
4.667 4.714 4.303 4.639
4.914 4.974 4.303 4.878
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Confidence_interval_T_up Half_amplitude_T
4.642 0.071
4.806 0.069
5.069 0.014
4.747 0.075
4.544 0.014
4.959 0.073
4.644 0.038
5.118 0.114
4.742 0.052
5.010 0.066
3.8.3. Between and within contribution for the factor laboratory
Laboratory CEi CDi
00 12.26 11.82
01 0.34 11.24
02 25.25 0.49
03 2.99 13.41
04 17.90 0.48
05 4.28 12.37
06 8.32 3.34
07 17.26 30.36
08 1.94 6.28
09 9.46 10.22
3.8.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 4.770
Repeatability_standard_deviat 0.026
Limit_of_repeatability 0.073
Repeatability_exp_uncertainty 0.052
Reproducibility_stand_deviat 0.190
Limit_of_reproducibility 0.532
Reproducibility_exp_uncertaint 0.380
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3.8.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 1.10
Repro_exp_uncert_percent 7.97
3.8.6. Part of variation in percent of the laboratories on the total variation
Variable Cr
Variation_part_labo 98.09
3.8.7. Trueness study - Estimation and significativity of the bias
Laboratory
number of
nonmissing
values, Cr Bias Inc_bias IC_inf_bias IC_sup_bias
00 3 -0.198 0.179 -0.550 0.153
01 3 -0.033 0.179 -0.384 0.318
02 3 0.285 0.179 -0.066 0.636
03 3 -0.098 0.179 -0.449 0.253
04 3 -0.240 0.179 -0.591 0.111
05 3 0.117 0.179 -0.234 0.468
06 3 -0.163 0.179 -0.515 0.188
07 3 0.235 0.179 -0.116 0.586
08 3 -0.079 0.179 -0.430 0.272
09 3 0.174 0.179 -0.177 0.525
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3.8.8. Box-plot graphics Tyre G
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3.9. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre H
3.9.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Laboratory N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
00 3 5.170 0.044 0.858 0.089
01 3 5.380 0.009 0.172 0.018
02 3 5.713 0.045 0.785 0.090
03 3 5.368 0.011 0.214 0.023
04 3 5.206 0.012 0.222 0.023
05 3 5.376 0.032 0.600 0.065
06 3 5.368 0.015 0.287 0.031
07 3 5.425 0.027 0.494 0.054
08 3 5.336 0.021 0.397 0.042
09 3 5.597 0.000 0.000 0.000
3.9.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
5.120 5.220 4.303 5.060
5.370 5.391 4.303 5.357
5.662 5.763 4.303 5.601
5.355 5.381 4.303 5.339
5.193 5.220 4.303 5.178
5.339 5.412 4.303 5.296
5.351 5.386 4.303 5.330
5.395 5.455 4.303 5.358
5.312 5.360 4.303 5.283
5.597 5.597 4.303 5.597
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Confidence_interval_T_up Half_amplitude_T
5.280 0.110
5.403 0.023
5.824 0.111
5.396 0.029
5.235 0.029
5.456 0.080
5.407 0.038
5.491 0.067
5.389 0.053
5.597 0.000
3.9.3. Between and within contribution for the factor laboratory
Laboratory CEi CDi
00 21.42 29.07
01 0.08 1.26
02 43.39 29.69
03 0.29 1.95
04 15.00 1.97
05 0.14 15.36
06 0.28 3.50
07 0.41 10.58
08 1.43 6.62
09 17.56 0.00
3.9.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 5.394
Repeatability_standard_deviat 0.026
Limit_of_repeatability 0.073
Repeatability_exp_uncertainty 0.052
Reproducibility_stand_deviat 0.163
Limit_of_reproducibility 0.456
Reproducibility_exp_uncertaint 0.325
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3.9.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 0.97
Repro_exp_uncert_percent 6.03
3.9.6. Part of variation in percent of the laboratories on the total variation
Variable Cr
Variation_part_labo 97.44
3.9.7. Trueness study - Estimation and significativity of the bias
Laboratory
number of
nonmissing
values, Cr Bias Inc_bias IC_inf_bias IC_sup_bias
00 3 -0.224 0.153 -0.524 0.076
01 3 -0.014 0.153 -0.314 0.286
02 3 0.319 0.153 0.019 0.619
03 3 -0.026 0.153 -0.326 0.274
04 3 -0.187 0.153 -0.487 0.112
05 3 -0.018 0.153 -0.318 0.282
06 3 -0.026 0.153 -0.325 0.274
07 3 0.031 0.153 -0.269 0.331
08 3 -0.058 0.153 -0.358 0.242
09 3 0.203 0.153 -0.097 0.503
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3.9.8. Box-plot graphics Tyre H
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3.10. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre J
3.10.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Laboratory N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
00 3 5.746 0.020 0.350 0.040
01 3 5.532 0.015 0.267 0.030
02 3 5.904 0.017 0.294 0.035
03 3 5.613 0.025 0.451 0.051
04 3 5.570 0.016 0.289 0.032
05 3 5.855 0.020 0.344 0.040
06 3 5.587 0.015 0.271 0.030
07 3 5.861 0.017 0.298 0.035
08 3 5.745 0.059 1.027 0.118
09 3 5.850 0.023 0.395 0.046
3.10.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
5.723 5.768 4.303 5.696
5.516 5.549 4.303 5.496
5.885 5.924 4.303 5.861
5.585 5.642 4.303 5.550
5.551 5.588 4.303 5.530
5.832 5.878 4.303 5.805
5.569 5.604 4.303 5.549
5.841 5.880 4.303 5.817
5.679 5.812 4.303 5.599
5.824 5.876 4.303 5.792
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Confidence_interval_T_up Half_amplitude_T
5.796 0.050
5.569 0.037
5.947 0.043
5.676 0.063
5.610 0.040
5.905 0.050
5.624 0.038
5.904 0.043
5.892 0.147
5.907 0.057
3.10.3. Between and within contribution for the factor laboratory
Laboratory CEi CDi
00 0.21 5.95
01 21.27 3.22
02 17.90 4.43
03 7.23 9.46
04 13.89 3.83
05 9.41 5.97
06 11.04 3.38
07 10.21 4.49
08 0.21 51.39
09 8.64 7.88
3.10.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 5.726
Repeatability_standard_deviat 0.026
Limit_of_repeatability 0.073
Repeatability_exp_uncertainty 0.052
Reproducibility_stand_deviat 0.142
Limit_of_reproducibility 0.397
Reproducibility_exp_uncertaint 0.283
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3.10.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 0.91
Repro_exp_uncert_percent 4.95
3.10.6. Part of variation in percent of the laboratories on the total variation
Variable Cr
Variation_part_labo 96.63
3.10.7. Trueness study - Estimation and significativity of the bias
Laboratory
number of
nonmissing
values, Cr Bias Inc_bias IC_inf_bias IC_sup_bias
00 3 0.019 0.133 -0.241 0.280
01 3 -0.194 0.133 -0.454 0.067
02 3 0.178 0.133 -0.083 0.438
03 3 -0.113 0.133 -0.374 0.148
04 3 -0.157 0.133 -0.417 0.104
05 3 0.129 0.133 -0.132 0.390
06 3 -0.140 0.133 -0.400 0.121
07 3 0.134 0.133 -0.126 0.395
08 3 0.019 0.133 -0.241 0.280
09 3 0.124 0.133 -0.137 0.384
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3.10.8. Box-plot graphics Tyre J
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3.11. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre K
3.11.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Laboratory N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
00 3 6.534 0.012 0.178 0.023
01 3 6.637 0.028 0.418 0.056
02 3 6.792 0.015 0.222 0.030
03 3 6.527 0.021 0.319 0.042
04 3 6.459 0.000 0.000 0.000
05 3 6.717 0.026 0.393 0.053
06 3 6.533 0.015 0.232 0.030
07 3 6.792 0.027 0.393 0.053
08 3 6.580 0.044 0.662 0.087
09 3 7.081 0.015 0.216 0.031
3.11.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
6.520 6.547 4.303 6.505
6.605 6.668 4.303 6.568
6.775 6.809 4.303 6.755
6.503 6.551 4.303 6.475
6.459 6.459 4.303 6.459
6.688 6.747 4.303 6.652
6.516 6.550 4.303 6.496
6.762 6.822 4.303 6.726
6.531 6.630 4.303 6.472
7.063 7.098 4.303 7.043
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Confidence_interval_T_up Half_amplitude_T
6.563 0.029
6.706 0.069
6.830 0.038
6.579 0.052
6.459 0.000
6.783 0.066
6.571 0.038
6.858 0.066
6.689 0.108
7.119 0.038
3.11.3. Between and within contribution for the factor laboratory
Laboratory CEi CDi
00 5.55 2.53
01 0.26 14.43
02 5.18 4.27
03 6.12 8.11
04 13.67 0.00
05 0.88 13.05
06 5.58 4.31
07 5.15 13.34
08 2.31 35.56
09 55.30 4.39
3.11.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 6.665
Repeatability_standard_deviat 0.023
Limit_of_repeatability 0.065
Repeatability_exp_uncertainty 0.046
Reproducibility_stand_deviat 0.187
Limit_of_reproducibility 0.524
Reproducibility_exp_uncertaint 0.374
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3.11.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 0.69
Repro_exp_uncert_percent 5.62
3.11.6. Part of variation in percent of the laboratories on the total variation
Variable Cr
Variation_part_labo 98.47
3.11.7. Trueness study - Estimation and significativity of the bias
Laboratory
number of
nonmissing
values, Cr Bias Inc_bias IC_inf_bias IC_sup_bias
00 3 -0.132 0.177 -0.478 0.215
01 3 -0.029 0.177 -0.375 0.318
02 3 0.127 0.177 -0.219 0.473
03 3 -0.138 0.177 -0.484 0.208
04 3 -0.206 0.177 -0.553 0.140
05 3 0.052 0.177 -0.294 0.399
06 3 -0.132 0.177 -0.478 0.214
07 3 0.127 0.177 -0.219 0.473
08 3 -0.085 0.177 -0.431 0.261
09 3 0.415 0.177 0.069 0.762
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3.11.8. Box-plot graphics Tyre K
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3.12. Results of interlaboratories tests on Coefficient of rolling resistance (Cr) – Tyre Y
3.12.1. Average, standard deviation, coefficient of variation in percentage, expanded uncertainty in repeatability conditions
Laboratory N Average Standard_deviation Coefficient_of_variation_perc Repeatability_exp_uncertainty
00 3 7.435 0.040 0.543 0.081
01 3 7.624 0.035 0.455 0.069
02 3 7.830 0.015 0.193 0.030
03 3 7.509 0.020 0.267 0.040
04 3 7.400 0.021 0.280 0.041
05 3 7.621 0.030 0.390 0.059
06 3 7.511 0.021 0.280 0.042
07 3 7.617 0.038 0.504 0.077
08 3 7.571 0.021 0.277 0.042
09 3 7.720 0.017 0.222 0.034
3.12.2. Confidence interval of the average per laboratory at the level 95%
Confidence_interval_av_low Confidence_interval_av_up T Confidence_interval_T_low
7.389 7.481 4.303 7.335
7.585 7.663 4.303 7.538
7.812 7.847 4.303 7.792
7.486 7.531 4.303 7.459
7.377 7.424 4.303 7.349
7.588 7.655 4.303 7.547
7.487 7.535 4.303 7.458
7.574 7.661 4.303 7.522
7.547 7.595 4.303 7.519
7.701 7.740 4.303 7.678
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Confidence_interval_T_up Half_amplitude_T
7.535 0.100
7.710 0.086
7.867 0.038
7.558 0.050
7.452 0.051
7.695 0.074
7.563 0.052
7.713 0.095
7.623 0.052
7.763 0.043
3.12.3. Between and within contribution for the factor laboratory
Laboratory CEi CDi
00 14.74 21.95
01 1.08 16.24
02 40.24 3.08
03 3.77 5.40
04 22.42 5.78
05 0.93 11.87
06 3.56 5.97
07 0.75 19.84
08 0.11 5.91
09 12.39 3.97
3.12.4. Global average, results of precision values and measurement uncertainties
Variable Cr
Global_average 7.584
Repeatability_standard_deviat 0.027
Limit_of_repeatability 0.076
Repeatability_exp_uncertainty 0.055
Reproducibility_stand_deviat 0.131
Limit_of_reproducibility 0.367
Reproducibility_exp_uncertaint 0.262
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3.12.5. Results of measurement uncertainties in percentage
Variable Cr
Repe_exp_uncert_percent 0.72
Repro_exp_uncert_percent 3.46
3.12.6. Part of variation in percent of the laboratories on the total variation
Variable Cr
Variation_part_labo 95.68
3.12.7. Trueness study - Estimation and significativity of the bias
Laboratory
number of
nonmissing
values, Cr Bias Inc_bias IC_inf_bias IC_sup_bias
00 3 -0.149 0.123 -0.389 0.091
01 3 0.040 0.123 -0.200 0.281
02 3 0.246 0.123 0.006 0.486
03 3 -0.075 0.123 -0.315 0.165
04 3 -0.183 0.123 -0.424 0.057
05 3 0.037 0.123 -0.203 0.278
06 3 -0.073 0.123 -0.313 0.167
07 3 0.034 0.123 -0.207 0.274
08 3 -0.013 0.123 -0.253 0.227
09 3 0.136 0.123 -0.104 0.377
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3.12.8. Box-plot graphics
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4. Calculation of assigned values
1.1. Estimation of the variance of assigned values on corrected values for C1-C2 tyres
Batch Assigned
value Repeatabiliy
standard deviation Reproducibility
standard deviation Variance
Assigned values Standard deviation
Assigned values Number of
laboratories Number of repetitions
Inf Sup Laboratory
Variance
A 6.545 0.032 0.205 0.004 0.061 11 3 6.423 6.668 0.041
B 7.413 0.028 0.182 0.003 0.054 11 3 7.305 7.522 0.032
C 8.665 0.025 0.176 0.003 0.053 11 3 8.560 8.770 0.030
D 9.615 0.038 0.187 0.003 0.056 11 3 9.504 9.726 0.033
E 9.828 0.027 0.220 0.004 0.066 11 3 9.696 9.960 0.048
X 11.314 0.032 0.154 0.002 0.046 11 3 11.222 11.405 0.023
1.2. Estimation of the variance of assigned values on corrected values for C3 tyres
Batch Assigned
value Repeatabiliy
standard deviation Reproducibility
standard deviation Variance
Assigned values Standard deviation
Assigned values
Number of laboratories
Number of repetitions
Inf Sup Laboratory
Variance
F 3,812 0,018 0,081 0,001 0,025 10 3 3,762 3,863 0,006
G 4,770 0,026 0,190 0,004 0,060 10 3 4,650 4,889 0,035
H 5,394 0,026 0,163 0,003 0,051 10 3 5,292 5,496 0,026
J 5,726 0,026 0,142 0,002 0,044 10 3 5,638 5,815 0,019
K 6,665 0,023 0,187 0,003 0,059 10 3 6,547 6,783 0,034
Y 7,584 0,027 0,131 0,002 0,041 10 3 7,502 7,665 0,016
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5. Regression functions
5.1. Regression functions for C1-C2 machines4 - Cr (N/kN)
Lab. Intercept
B1l
Standard
error
Intercept
Slope
A1l
Standard error
Slope
s
(Residual
standard
deviation)
R²
0 -0,5014 0,1661 1,0262 0,0179 0,1167 0,9949
1 0,1126 0,1352 1,0075 0,0153 0,1015 0,9961
2 -0,0324 0,1244 0,9993 0,0137 0,0919 0,9968
3 0,1727 0,1012 0,9777 0,0112 0,0765 0,9978
4 -0,2379 0,1010 1,0269 0,0112 0,0730 0,9980
5 0,4788 0,0705 0,9712 0,0080 0,0552 0,9988
6 0,5319 0,1185 0,9626 0,0134 0,0932 0,9967
7 0,3111 0,1079 0,9684 0,0120 0,0829 0,9974
8 -0,0185 0,0846 0,9762 0,0091 0,0626 0,9985
9 -0,5796 0,1517 1,0651 0,0168 0,1057 0,9958
10 -0,0889 0,0656 1,0007 0,0072 0,0483 0,9991
5.2. Regression functions for C3 machines5 – Cr (N/kN)
Lab. Intercept
B1l
Standard
error
Intercept
Slope
A1l
Standard error
Slope
s
(Residual
standard
deviation)
R²
0 0,0807 0,1035 1,0072 0,0183 0,0939 0,9944
1 0,0864 0,0891 0,9910 0,0155 0,0810 0,9959
2 -0,1642 0,0926 0,9916 0,0154 0,0807 0,9959
3 0,0502 0,0454 1,0066 0,0080 0,0411 0,9989
4 0,1538 0,0394 1,0057 0,0070 0,0363 0,9992
5 -0,0604 0,0657 1,0004 0,0112 0,0583 0,9979
6 0,0534 0,0654 1,0072 0,0115 0,0592 0,9978
7 -0,1406 0,0935 1,0069 0,0159 0,0818 0,9958
8 0,0899 0,0545 0,9918 0,0095 0,0496 0,9984
9 0,0236 0,1121 0,9630 0,0187 0,1007 0,9936
4 A1l and B1l are the coefficients defined in annex IVa of Regulation (EC) N° 1222/2009
5 A1l and B1l are the coefficients defined in annex IVa of Regulation (EC) N° 1222/2009
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Annex E - Template for candidate / reference laboratory alignment
1. General information of Applicant (Candidate laboratory)
All the information included by the company in this form will be confidential.
Company: ________________________________________________________ Address: __________________________________________________________ City: _________________________________________ P.O. Box: ___________ Contact person: _______________________________ Position: _________________________ Telephone: ________________ Fax: __________________ E-mail: ________________________
a) Tyre manufacturer b) Independent laboratory
Is your company integrated in a Group? Yes No If yes, indicate which one: ____________________________________________________________ Candidate machine identification Trade Mark: _________________________ Serial number: ____________________ Test Lab location: ____________________ Year of make: _____________________ Date of last calibration: _________________
The laboratory is certified/accredited/compliant to ISO 17025
The facility is certified / compliant to ISO /TS 16949
The laboratory complies with the specifications of ISO 28580 Annex A on test equipment tolerances Drum Ø [mm]: _______________ Drum Surface: _______________ Drum material: _______________ Where to send the test tyres after testing: Address: __________________________________________________________ City: _________________________________________ P.O.Box:___________ Contact person:_______________________________ Test tyres provided:
Tyre type: C1/C2 C3
Method: Force Torque Power Deceleration Test results of the n+1 measurements (corrected for drum diameter and room temperature)
Tyre : Make - Size – Designation RRC1,c (kg/t)
RRC2,c (kg/t)
RRC3,c (kg/t)
RRC4,c (kg/t)
……… RRCn+1,c (kg/t)
Candidate machine measurement repeatability: m (kg/t): ______
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2. General information of the Reference laboratory Company: ________________________________________________________ Address: __________________________________________________________ City: _________________________________________ P.O. Box: ___________ Contact person: _______________________________ Position: ______________________ Telephone: ________________ Fax: __________________ E-mail: _________________
a) Tyre manufacturer b) Independent laboratory Reference machine identification Trade Mark: _________________________ Serial number: ________________ Test Lab location: ____________________ Year of make: _________________ Date of last calibration: _________________
The laboratory is certified/accredited/compliant to ISO 17025
The facility is certified / compliant to ISO /TS 16949
The laboratory complies with the specifications of ISO 28580 Annex A on test equipment tolerances Drum Ø [mm]: _______________ Drum Surface: _______________ Drum material: _______________ Test characteristics:
Method: Force Torque Power Deceleration Test results, average of measurement 2 – 4, corrected for drum diameter and temperature:
Tyre : Make - Size – Designation
RRC2,l(kg/t) RRC 3,l(kg/t) RRC 4,l(kg/t) RRC avg. (kg/t)
3. Alignment equation
Regression formula6: RRC = aligned value (kg/t) RRCm,c = candidate’s measurement (kg/t)
RRC = a* RRCm,c + b a = _______ b = _______ a = A1l * A2c
b = A1l * B2c + B1l
Coefficient of determination7: R2 = _______
Date: _____________________________ Stamp and Signature: ________________________________ 6A1l , B1l, A2c and B2c are the coefficients defined in annex IVa of Regulation (EC) N° 1222/2009
RRC is the assigned value of the rolling resistance coefficient aligned to EU Reference.
RRCm,l is the individual measured value of the rolling resistance coefficient by the reference laboratory (l)
(including temperature and drum diameter corrections)
RRCm,c is the individual measured value of the rolling resistance coefficient by the candidate laboratory (c)
(including temperature and drum diameter corrections) 7Coefficient of determination R2 is defined as the sum of squares due to the regression divided by the total sum of squares. Usually,
R² is interpreted as representing the percentage of variation of the dependent variable explained by variation of the independent
variables.
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Annex F - Proposal of guidance on how to handle the process of changing alignment equations, both for Reference and Candidate Laboratories
1. The applicable alignment equation is determined based on the measurement date:
A RR test result generated before Sept. 1st, 2017 will be aligned with the old equation and a test result
generated from Sept. 1st, 2017 will be aligned with the new equation.
2. If a Candidate Laboratory or another machine was aligned before 1st September 2017, its current
alignment equation is still valid during 2 years following its alignment report issue date.
3. If a validation check is done by a Testing service or another Test Laboratory from 1st September 2017
on a Label grade, it can be done according to the following multi-steps approach:
a. For validation test result generated from 1st September 2017
=> Apply the alignment equation applicable from 1st September 2017
After this first step (a) if the results confirm the level of the Label grade, the tyre is declared conform.
If the results do not confirm the level of the Label grade the second step (b) shall be applied.
b. If Label grade was originally based on an alignment report generated after 1st September 2017,
the tyre is declared non-conform and the procedure defined in annex IVa of Regulation (EC)
N° 1222/2009 shall be applied.
If Label grade was originally based on an alignment report generated before 1st September
2017 => Alignment equation applicable before 1st September 2017 will be applied to these
2017 validation results.
After this second step (b) if these new results confirm the level of the Label grade, the tyre is declared
conform.
If these new results do not confirm the level of the Label grade, the tyre is declared non-conform and
the procedure defined in annex IVa of Regulation (EC) N° 1222/2009 shall be applied.
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Annex G – Draft of annex IVa and justification
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Annex H: Draft Guideline for clarification of rules regarding the Candidate Laboratory alignment procedure applying for ANNEX IVa of Regulation 661/2009 - Laboratory alignment procedure for the measurement of rolling resistance.
Brussels, xx, yy, 2017
Guideline for clarification of rules regarding the Candidate Laboratory alignment
procedure applying for ANNEX IVa of Regulation 661/2009 - Laboratory alignment
procedure for the measurement of rolling resistance
SCOPE
This guideline is prepared in order to clarify the process for candidate laboratory alignments
and reflects findings described in the Final Report - Review study on the Regulation (EC) No
1222/2009 on the labelling of tyres, March 2016, prepared for: European Commission, DG
ENER C.3, Brussels, Belgium,
including the proposal for amendment of Annex IVa of the Tyre Labelling Regulation
suggested by the Expert Group on laboratory alignment of tyre rolling resistance installed
under Regulation (EC) No 1222/2009, in order to increase the accuracy and reproducibility if
the rolling resistance tests.
DEFINITIONS to be aligned with new ISO 28580
For the purpose of the laboratory alignment procedure, the following definitions apply:
(1) "Reference laboratory" means a laboratory that is part of the network of laboratories,
the name of which have been published for the purpose of the alignment procedure in
the Official Journal of the European Union, and is able to achieve the accuracy of test
results determined in section 3 with his reference machine;
(2) "Candidate laboratory" means a laboratory participating in the alignment procedure
that is not a reference laboratory;
(3) "Alignment tyre" means a tyre that is tested for the purpose of performing the
alignment procedure; (4) "Alignment tyres set" means a set of five or more
alignment tyres for the alignment of one single machine;
(5) "Assigned value" means a theoretical value of the Rolling Resistance Coefficient of
one alignment tyre as measured by a theoretical laboratory which is representative of
the network of reference laboratories that is used for the alignment procedure;
(6) “Machine” means every tyre testing spindle with one specific measurement method.
For example, two spindles acting on the same drum shall not be considered as one
machine.
EUROPEAN COMMISSION
Brussels, XXX
[…](2011) XXX draft
COMMISSION REGULATION (EU) No …/..
of XXX
amending Regulation (EC) No 1222/2009 of the European Parliament and of the Council
with regard to the wet grip grading of tyres, the measurement of rolling resistance and
the verification procedure
(Text with EEA relevance)
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PRINCIPLE
The measured (m) Rolling Resistance Coefficient obtained by a machine in a candidate
laboratory (c), RRCm,c , shall be aligned through one reference laboratory of the network of its
choice.
CLARIFICATIONS ON TYRE SELECTION REQUIREMENTS
A set of five or more alignment tyres shall be selected for the alignment procedure in
compliance with the criteria below. One set shall be selected for C1 and C2 tyres together,
and one set for C3 tyres.
(a) The set of alignment tyres shall be selected so as to cover the range of different RRCs
of C1 and C2 tyres together, or of C3 tyres. In any event, the difference between the
highest RRCm of the tyre set, and the lowest RRCm of the tyre set shall be, before and
after alignment, at least equal to
(i) 3 kg/t for C1 and C2 tyres, and
(ii) 2 kg/t for C3 tyres.
(b) The RRCm in the candidate or reference laboratories (RRCm,c or RRCm,l) based on
declared RRC values of each alignment tyre of the set shall be distributed uniformly.
(c) Load index values shall adequately cover the range of the tyres to be tested, ensuring
that the Rolling Resistance Force (RRF) values also cover the range of the tyres to be
tested.
Each alignment tyre shall be checked prior to use and replaced when:
(a) it shows a condition which makes it unusable for further tests, and/or
(b) there are deviations of RRCm,c or RRCm,l greater than [1.5] per cent relative to earlier
measurements after correction for any machine drift. (To be monitored)
CLARIFICATIONS ON THE PROCEDURE FOR THE ALIGNMENT OF A
CANDIDATE LABORATORY
The candidate or reference laboratory shall calculate:
(a) the measured value of each alignment tyre for each measurement as specified in
Annex 6, paragraphs 6.2 and 6.3, of UNECE Regulation No 117 and its subsequent
amendments (i.e. corrected for a temperature of 25°C and a drum diameter of 2 m),
(b) the mean value of the three last measurements (2,3,4 in the case of reference
laboratories) or the n last measured values (2 to n+1 in the case of candidate
laboratories) of each alignment tyre, and
(c) the standard deviation (σm) as follows:
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1
2
21
2
,,,
1
1
1 n
j
n
j
jijiim Crn
Crn
where:
i is the counter from 1 to p for the alignment tyres
j is the counter from 2 to n+1 for the n last repetitions of each measurement of a given
alignment tyre
n+1 is the number of repetitions of tyre measurements (n+1=4 for reference laboratories and
n+1 ≥4 for candidate laboratories)
p is the number of alignment tyres (p ≥ 5).
One reference laboratory (l) of the network shall calculate the linear regression function on all
individual data of the candidate laboratory (c). The regression coefficients, A2c and B2c, shall
be calculated as follows:
RRCm,l = A2c x RRCm,c + B2c
where:
RRCm,l is the individual measured value of the rolling resistance coefficient by the reference laboratory
(l) (including temperature and drum diameter corrections)
RRCm,c is the individual measured value of the rolling resistance coefficient by the candidate laboratory
(c) (including temperature and drum diameter corrections).
If the coefficient2 of determination R² is lower than 0.97 the candidate laboratory shall not be
aligned.
The aligned RRC of tyres tested by the candidate laboratory is calculated as follows:
RRC = (A1l x A2c ) x RRCm,c + (A1l x B2c + B1l). __________________________________________________________________________________ 2 Coefficient of determination R² is defined as the sum of squares due to the regression divided by the
total sum of squares. Usually, R² is interpreted as representing the percentage of variation of the
dependent variable explained by variation of the independent variables.
CLARIFICATIONS ON REQUIREMENTS APPLICABLE TO CANDIDATE
LABORATORIES
Candidate laboratories shall repeat the alignment procedure at least once every second year
for every machine and always after any significant machine change or any drift in machine
control tyre monitoring data.
A common set of at least five different tyres, conforming to the selection requirements as
specified above shall be measured in accordance with the requirements of the procedure
specified in ANNEX IVa of Regulation 661/2009, firstly by the candidate laboratory and later
on by one reference laboratory. More than five alignment tyres may be tested at the request of
the candidate laboratory.
p
i
immp 1
,21
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The alignment tyre set shall be provided by the candidate laboratory to the selected reference
laboratory.
The candidate laboratory (c) shall comply with the specifications of Annex 6 of UNECE
Regulation No117 and its subsequent amendments and preferably have standard deviations
(σm) as follows:
(i) not greater than 0.075 kg/t for C1 and C2 tyres, and
(ii) not greater than 0.060 kg/t for C3 tyres.
If the standard deviation (σm) of the candidate laboratory is higher than the above values with
four measurements, the last three ones being used for the computations, then the number n+1
of measurement repetitions shall be increased as follows for the entire batch of tires:
n +1 = 1+(σm/γ)2 , rounded up to the nearest higher integer value
where:
γ = 0.043 kg/t for Class C1 and C2 tyres
γ = 0.035 kg/t for Class C3 tyres.