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1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

Mar 26, 2015

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Page 1: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

1

Competition

Page 2: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

2

Wiederholungssendung

The name of a famous Russian mathematician is …

A: Smirnoff

B: Gorbatschoff

C: Kolmogoroff

D: Stroganoff

Page 3: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

3

Wiederholungssendung

The name of a famous Russian mathematician is …

A: Smirnoff

B: Gorbatschoff

C: Kolmogoroff

D: Stroganoff

Page 4: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

4

Wiederholungssendung

The name of a famous English statistician is …

A: Miller

B: Fisher

C: Churchill

D: Butler

Page 5: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

5

Wiederholungssendung

The name of a famous English statistician is …

A: Miller

B: Fisher

C: Churchill

D: Butler

Page 6: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

6

Wiederholungssendung

In order to describe the relation of two categorial variables, we use

A: Boxplots

B: Cross tables

C: Histograms

D: Bar plots

Page 7: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

7

Wiederholungssendung

A: Boxplots

B: Cross tables

C: Histograms

D: Bar plots

In order to describe the relation of two categorial variables, we use

Page 8: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

8

Wiederholungssendung

A: Boxplots

B: Cross tables

C: Histograms

D: Bar plots

In order to describe the distribution of a continuous variable in several

groups we use

Page 9: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

9

Wiederholungssendung

A: Boxplots

B: Cross tables

C: Histograms

D: Bar plots

In order to describe the distribution of a continuous variable in several

groups we use

Page 10: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

10

Wiederholungssendung

A: 1 Bin

B: 10 Bins

C: 100 Bins

D: 1000 Bins

100 measurements of a continuous variable are to be displayed in a

histogram. How many bins should the histogram approximately have?

Page 11: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

11

Wiederholungssendung

A: 1 Bin

B: 10 Bins

C: 100 Bins

D: 1000 Bins

100 measurements of a continuous variable are to be displayed in a

histogram. How many bins should the histogram approximately have?

Page 12: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

12

Wiederholungssendung

A: Mean

C: Standard deviation

D: Median

Which is the most robust measure of location for continuous data?

B: 1st Quartile

Page 13: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

13

Wiederholungssendung

A: Mean

C: Standard deviation

D: Median

B: 1st Quartile

Which is the most robust measure of location for continuous data?

Page 14: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

14

Wiederholungssendung

A: Relative frequencies

C: Column %

D: Total %

The maths grades of girls and boys of a school class are compared in a cross table

(rows=grades, columns = gender). Which quantities are most informative for the

comparison of grades within each group?

B: Row %

Page 15: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

15

Wiederholungssendung

A: Relative frequencies

C: Column %

D: Total %

B: Row %

The maths grades of girls and boys of a school class are compared in a cross table

(rows=grades, columns = gender). Which quantities are most informative for the

comparison of grades within each group?

Page 16: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

16

Wiederholungssendung

A: Pain, Time

C: Pain (morning), Pain (evening)

D: Time (morning), Time (evening)

The binary endpoint „pain“ (yes/no) is measured twice a day (morning, evening)

for each participant of a clinical trial. Which are the variables that constitute the

rows/columns in a cross table?

B: Patient #, Pain

Page 17: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

17

Wiederholungssendung

A: Pain, Time

C: Pain (morning), Pain (evening)

D: Time (morning), Time (evening)

B: Patient #, Pain

The binary endpoint „pain“ (yes/no) is measured twice a day (morning, evening)

for each participant of a clinical trial. Which are the variables that constitute the

rows/columns in a cross table?

Page 18: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

18

Wiederholungssendung

A: Mode = Median

C: 1.Quartile > Mean

D: Median < Mean

The distribution of a continuous variable is skewed to the right.

Thus,

B: Median > 65% Quantile

Page 19: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

19

Wiederholungssendung

A: Mode = Median

C: 1.Quartile > Mean

D: Median < Mean

B: Median > 65% Quantile

The distribution of a continuous variable is skewed to the right.

Thus,

Page 20: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

20

Wiederholungssendung

A:

C:

D:

B:

The distribution of a continuous variable is skewed to the left. A

typical boxplot looks like:

Page 21: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

21

Wiederholungssendung

A:

C:

D:

B:

The distribution of a continuous variable is skewed to the left. A

typical boxplot looks like:

Page 22: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

22

Wiederholungssendung

A: It produces only 5% false positives

B: It produces less true negatives

D: It produces less false negatives

A t-Test at a 5% type I error level should be preferred over the „Offenbach Oracle“

because

C: It does not make any assumption about the null distribution

Page 23: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

23

Wiederholungssendung

A: It produces only 5% false positives

B: It produces less true negatives

C: It does not make any assumption about the null distribution

D: It produces less false negatives

A t-Test at a 5% type I error level should be preferred over the „Offenbach Oracle“

because

Page 24: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

24

Wiederholungssendung

The decision boundary for a one-sided test statistic is d=7 at a significance level of α=5%.

A valid acceptance region A for a corresponding two-sided test is:

A: A = [-10,10]

C: A = (∞,-10] ∪ [10,∞)

D: A = (∞,-5] ∪ [5,∞)

B: A = [-5,5]

Page 25: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

25

Wiederholungssendung

A: A = [-10,10]

C: A = (∞,-10] ∪ [10,∞)

D: A = (∞,-5] ∪ [5,∞)

B: A = [-5,5]

The decision boundary for a one-sided test statistic is d=7 at a significance level of α=5%.

A valid acceptance region A for a corresponding two-sided test is:

Page 26: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

26

Wiederholungssendung

A two-group t-test at a significance level of α=1% yields a p-value of p=0.011. One can conclude that

A: There is a difference between the two groups

B: The type II error of the test is too high

C: There is no significant difference

D: The significance level has to be adjusted

Page 27: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

27

Wiederholungssendung

A: There is a difference between the two groups

B: The type II error of the test is too high

C: There is no significant difference

D: The significance level has to be adjusted

A two-group t-test at a significance level of α=1% yields a p-value of p=0.011. One can conclude that

Page 28: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

28

Wiederholungssendung

A two-sided (symmetrical) test at a significance level of α=5% yields a p-

value of p=0.002. One can conclude that

A: There is a differnce between the groups

B: The one-sided test would also be positive

C: The test at a level of α=1% would also be positive

D: The result is significant at a 1%-level

Page 29: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

29

Wiederholungssendung

A: There is a differnce between the groups

B: The one-sided test would also be positive

C: The test at a level of α=1% would also be positive

D: The result is significant at a 1%-level

A two-sided (symmetrical) test at a significance level of α=5% yields a p-

value of p=0.002. One can conclude that

Page 30: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff.

30

Congratulations!