Top Banner
Introduction to Biostatistics Dennis O. Dixon, Ph.D. Formerly, Mathematical Statistician National Institute of Allergy and Infectious Diseases, NIH 2011
142

Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

May 24, 2018

Download

Documents

trandung
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Page 1: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Introduction to Biostatistics

Dennis O. Dixon, Ph.D. Formerly, Mathematical Statistician

National Institute of Allergy and Infectious Diseases, NIH

2011

Page 2: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Running Example

Study the problem of babies born with HIV infection: •  What is the extent of the problem? •  What is the evidence? •  How good is the evidence? •  Can the problem be eliminated / reduced?

2

Page 3: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Concepts to Be Covered

•  Sample v. Population •  Estimate v. Parameter •  Curse of variation (Sample Size) •  Comparing Parameters (Hypothesis

Testing) •  Clinical Trial Design •  Interim Trial Monitoring

3

Page 4: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Sample v. Population

4

Page 5: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Research Question

What proportion of babies are infected with HIV at birth? Terminology: Proportion = fraction = rate, a number between 0 and 1, ratio of numerator and denominator

5

Page 6: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Research Question

What proportion of babies are infected with HIV at birth? •  In a particular place (country, district,

hospital)? •  In a particular time period? •  Born to certain types of parents?

6

Page 7: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Example: “Among 1000 babies born to HIV-infected mothers in Hospital X in 2008 the proportion of babies who were infected was 0.25 (250/1000).”

7

Page 8: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Estimate v. Parameter

•  What if there were actually 5000 babies born to infected mothers at Hospital X in 2008, but only a sample of 1000 of those babies were tested for HIV?

•  The proportion 0.25 is an estimate of the actual proportion, which could be as low as 250/5000 = 0.05 or as high as 4250/5000 = 0.85.

•  Of what value is the estimate? 8

Page 9: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

More Generally

•  Often the parameter of interest is not observable, even in principle.

•  The population of interest, and hence the parameter of interest, is hypothetical instead of actual.

•  Data from Hospital X, interest in all of Nigeria

•  Estimate important only insofar as it sheds light on a parameter

9

Page 10: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Other Examples of Parameters

•  Probability that a negative cancer screening test is correct

•  Average survival time of men after first heart attack

•  Effect of nutritional supplementation on infant mortality

•  Probability that my baby will be infected at birth

10

Page 11: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Curse of Variation

11

Page 12: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Kinds of Samples

•  Representative – Fair – Random •  Convenient – Systematic •  Skewed – Biased These are all context-specific: Any sample is

representative relative to some population, not always the population of interest

12

Page 13: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

To Assure a Good Sample

•  Carefully identify the members of the population of interest

•  Choose the sample at random (by lottery), giving each member the same chance of selection

13

Page 14: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Estimates Based on Good Samples

When estimating a proportion from a large sample (N),

– p (estimate) will tend to be close to π (parameter)

–  In fact, in hypothetical repeated samples, p and π will be no farther apart than one standard error of p, denoted sep, 68% of the time, and no farther apart than 2 x sep 95% of the time, where sep

2 = π(1- π)/N

14

Page 15: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Estimate Precision When π = 0.25 and Various N

N se0.25 (68% limit)

95% limit

10 .14 .27 100 .0433 .0866

1000 .0137 .0274

So when π = 0.25, an estimate based on 1000 babies will be between about 0.22 and 0.28 95% of the time.

15

Page 16: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Inference

•  Precision expresses the variation of an estimate when the parameter has a fixed value (whether known or unknown)

•  Given the estimate, what can be said about the unknown parameter?

16

Page 17: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Confidence Intervals

•  Noted earlier that Prob{ - 2sep < p – π < 2sep } = 0.95

•  This is a description of the variability in p that would be seen in repeated samples

•  When p has been calculated from a set of data, the expression inside { } can be rearranged to [ p - 2sep < π < p + 2sep ], commonly referred to as a 95% confidence interval for π

17

Page 18: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Note

•  Without knowing the true value of π you can’t find the true value of

sep = square root of [ π(1- π)/N ] •  Substituting p for π in the formula is OK

unless N is small (< 30) or π is close to 0 or 1

18

Page 19: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Comparing Parameters

19

Page 20: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Is an Intervention Any Good?

•  Suppose the infection rate in babies born to infected mothers is 0.25 (this is the true rate πo)

•  Does a short course of AZT to mother and baby reduce the infection rate?

•  In a sample (series) of 100 births only 15 babies are infected.

•  Is the benefit of AZT proven?

20

Page 21: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Example

•  With 15 infected babies out of 100 tested, the 95% confidence interval for πAZT is

[ 0.15 – 0.07, 0.15 + 0.07 ] = [ 0.08, 0.22 ]

21

Page 22: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Example

•  With 15 infected babies out of 100 tested, the 95% confidence interval for πAZT is

•  [ 0.15 – 0.07, 0.15 + 0.07 ] = [0.08, 0.22 ] •  Strict interpretation: Over repeated similar

samples, 95% of the confidence intervals will include the true value of πAZT

22

Page 23: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Example

•  With 15 infected babies out of 100 tested, the 95% confidence interval for πAZT is

[ 0.15 – 0.07, 0.15 + 0.07 ] = [ 0.08, 0.22 ]

•  Informally, all plausible values of πAZT (with 95% confidence) are between 0.08 and 0.22

23

Page 24: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Possible Argument •  The estimate 0.15 based on 100 observa-

tions has a confidence interval [0.08 - 0.22]

95% CI

π 0.08 0.22

24

Page 25: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Possible Argument

95% CI .25

π 0.08 0.22

Since the interval is all below the infection rate without AZT (0.25), one can reasonably conclude that πAZT is smaller than πo

25

Page 26: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Formalise: Tests of Hypotheses

•  Ho: πAZT = πo stands for the null hypothesis that AZT does not change the infection rate

26

Page 27: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Formalise: Tests of Hypotheses

•  Ho: πAZT = πo stands for the null hypothesis that AZT does not change the infection rate

•  Ha: πAZT < πo or πAZT > πo stands for the alternative hypothesis that the rates are not equal

•  Both hypotheses refer to the unknown value of πAZT

27

Page 28: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Tests of Hypotheses

•  Data will be compatible with Ho or not; if not, reject Ho in favor of Ha

•  Otherwise do not reject Ho – not the same as accepting Ho

•  A popular way to decide what is compatible is using a confidence interval for the parameter of interest

28

Page 29: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Hypothesis Testing Logic

•  Obtain an estimate (p) and its standard error from a good set of data

•  Form the 95% confidence interval for the parameter (π)

[p – 2sep, p + 2sep] •  Reject Ho: π = πo if πo is not within the

interval; otherwise do not reject

29

Page 30: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Possible Error – Type I

•  By design, this procedure sometimes will reject Ho even when it is true, because 5% of the time the estimate will fail to be close to the true parameter value

•  Incorrectly rejecting Ho is called a Type I error

•  Example: claiming AZT lowers the infection rate below 0.25 when it doesn’t

30

Page 31: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Type I Error Rate

•  P(reject Ho when Ho is true) = α •  Probability of rejecting the null hypothesis

when the null is true •  False positive error rate •  Probability of rejecting that πAZT = 0.25

when AZT makes no difference

31

Page 32: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Possible Error – Type II

•  Not rejecting Ho when Ha is true is also an error, called a Type II error

•  Example: not claiming AZT lowers the infection rate below 0.25 when it does

•  The researcher wants to avoid both errors and can do so to some extent through careful study design

32

Page 33: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Type II Error Rate •  P(do not reject Ho when Ha true) = β •  False Negative error rate •  Probability we do not conclude that πAZT

differs from 0.25 when it truly does •  Power = 1-β = P(reject Ho when Ha is true)

33

Page 34: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Possible Type II Error

.25

π 0.14 0.30

34

Page 35: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Controlling Error Rates

•  Type I errors are bad, because we do not want to use ineffective treatments

•  Never rejecting eliminates Type I errors

35

Page 36: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Controlling Error Rates

•  Type I errors are bad, because we do not want to use ineffective treatments

•  Type II errors are bad, because we do not want to overlook effective treatments

•  Some Type II errors are worse than others

36

Page 37: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Alternate Form

•  Reject Ho: π = πo at the 0.05 level if p < πo – 2sep or p > πo + 2sep

•  Otherwise do not reject •  Rearranging, the criterion is

p – πo < – 2sep or p – πo > 2sep Same as Z < -2 or Z > 2,

where Z = (p - πo)/sep

37

Page 38: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

(Significance) Level

•  2 and 0.05 are related: The critical value – 2 – is specified so that α, the probability of a Type I error, will be 0.05

•  This exactly matches the property of the 95% CI that the interval contains the true value of π 95% of the time

•  Critical values 1 and 3 correspond to significance levels 0.32 and 0.0027

38

Page 39: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

How α Affects CI Length

α  = 0.0027

α  = 0.05

α  = 0.32

39

Page 40: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

P-value

•  Smallest level α for which the observed sample would reject Ho

•  Given Ho is true, probability of obtaining a result as extreme or more extreme than the actual sample

•  Measure of the strength of evidence in the data that the null is not true

•  “p is significantly < πo with P = 0.045.”

40

Page 41: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Comparing rates when both must be estimated

•  Different formula for Z but same procedure •  To test Ho: π1 - π2 = 0 at level 0.05, reject if

Z < -2 or Z > 2, where

Z = (p1 – p2)/sediff and

sediff = square root of [ se12 + se2

2 ]

41

Page 42: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Possible Type II Error

0

πAZT – πo -0.17 0.07

A reduction of the transmission rate from 0.25 to 0.08 is not ruled out, so do not claim Ho is true

42

Page 43: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Power Depends on Sample Size

•  Power = P(reject Ho when Ha is true) = “Probability of rejecting the null hypothesis if the alternative hypothesis is true”

•  More subjects è smaller se è smaller CI è higher power

43

Page 44: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Other Cases

Z formulation works in almost all situations with plenty of data

Estimate – parameter under null seestimate

44

Page 45: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Comparing Average Values of Measurements (such as

weight change) To test Ho: µ1 = µ2 at the 0.05 level, reject if

Z = (m1 – m2)/sediff

is either < -2 or > 2; otherwise do not reject, where se1

2 = sum(m1i - m1)2/n1 (n1-1), and n1 is the number of observations used for m1

45

Page 46: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Note

To be precise, critical values (1, 2, and 3 for α = 0.32, 0.05, and 0.0027) will depend on the properties of the sampling distribution of the estimate

46

Page 47: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Summary •  Inferences from data always have

limitations •  Estimates of parameters of interest are all

imprecise to some degree, should come with confidence limits

•  Hypothesis test results are always subject to either Type I error (in case of a rejected hypothesis) or Type II error (in case of a non-rejected hypothesis)

47

Page 48: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Clinical Trial Design

48

Page 49: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Example: ACTG 076

Reduction of Maternal-Infant Transmission of Human Immunodeficiency Virus Type 1 with Zidovudine Treatment

49

Page 50: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Basic Design Components •  Background and rationale •  Clear statement of primary hypothesis to

be tested or parameter to be estimated •  Other objectives •  Concise statement of design •  Methods and analysis plan

50

Page 51: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Designing a Clinical Study = Writing a Protocol

•  Road map for conduct of study •  Anticipate problems •  Facilitates communication with potential

collaborators, funding agencies •  Assists in manuscript preparation

51

Page 52: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

ACTG 076

Background and Rationale •  25% of babies born to HIV+ mothers were

also infected in the early 1990s •  Adults with AIDS became very ill more

slowly if given AZT •  Perhaps reducing disease burden in HIV+

mothers with AZT and/or treating babies with AZT would reduce transmissions

52

Page 53: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

ACTG 076

Primary Hypothesis Can infection rate of babies be reduced safely by administering AZT to mothers during pregnancy and delivery and to infants for 6 weeks?

53

Page 54: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Basic Design Components ü Background and rationale ü Clear statement of primary hypothesis to

be tested or parameter to be estimated •  Other objectives •  Concise statement of design •  Methods and analysis plan

54

Page 55: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

ACTG 076

Other Study Objectives •  What other characteristics of mothers

(demographics, medical history, etc.) or infants (gender, birth weight, etc.) affect the transmission rate?

•  Do AZT effects vary among subgroups?

55

Page 56: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

ACTG 076 Statement of Design

A randomized, placebo-controlled trial of “short-course” AZT vs. standard obstetrical care alone, to enroll 636 “assessable” mother-infant pairs, with mothers between 14 and 34 weeks’ gestation and not given AZT in the current pregnancy, in the U.S. and France … 56

Page 57: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Methods •  Selection of subjects

–  Inclusion criteria – Participating sites, investigators

•  Treatment and treatment administration •  Data and sample collection and handling •  Statistical considerations •  “Trial conduct”

57

Page 58: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Specifying the Population of Interest and the Study

Population

58

Page 59: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Study Eligibility

•  The characteristics of the study population influence the generalizability of study results

•  Not easy to reach a conclusion about both adults and children if only adults enroll in the study

•  Rarely feasible to match the target population fully

59

Page 60: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Inclusion Criteria •  Definition of patient population

– Specific (but not too restrictive) •  Inclusion criteria

– Disease or condition under study • Prior myocardial infarction, smokers

– Other information • Age • Sex • Area of residence or hospitalization

60

Page 61: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Exclusion Criteria •  Participants must not have any specified

criterion •  Conditions making study difficult or

impossible •  Persons for whom one regimen or other is

inappropriate or unethical – Women with symptomatic HIV illness should

not be denied antiretroviral therapy in ACTG 076

61

Page 62: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Exclusion Criteria •  Practical concerns

– Aged under 18 – Critically ill

•  Circumstances making determination of outcome difficult or impossible – Expected to leave area – Unable to communicate in language study

team uses – Pregnancy (in studies of treatment for

women) 62

Page 63: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Common Mistakes •  Unnecessary exclusion/inclusion criteria •  Plans for the trial made without any

reliable data on participant availability – Pilot recruitment

•  Unrealistic timetable for recruitment or no recruitment goals

•  Revision of sample size calculations to make them consistent with recruitment realities

63

Page 64: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Treatment Definition •  Specify as much as possible without

interfering with patient management •  Realize that generalizability often lost in

quest for specificity •  Specify criteria for withdrawal from study

or deviation from protocol •  List concurrent medications, procedures,

etc. that are prohibited or permitted

64

Page 65: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Methods ü Selection of subjects

- Inclusion criteria - Participating sites, investigators

ü Treatment and treatment administration •  Data and sample collection and handling •  Statistical considerations •  “Trial conduct”

65

Page 66: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Case Report Forms

•  Collect relevant data, relative to protocol •  Facilitate efficient and complete data

collection, processing, and analysis •  Provide units of measure (e.g. pounds,

kilos) •  Include instructions for completion,

participant ID number, Study name, but not participant’s name

66

Page 67: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Outcome Definitions

•  Be specific and as clear as possible •  Primary vs. secondary outcomes •  Standard clinical definitions

– Textbook: usually not specific enough – Consensus conference

• Definition of new infection – Recognized expert body (WHO, AHA)

67

Page 68: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

ACTG 076 Outcome Definitions

•  Infected: at least one positive HIV culture of peripheral-blood mononuclear cells, at birth, 12 weeks, 24 weeks, and/or 78 weeks, from certified labs

68

Page 69: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

ACTG 076 Outcome Definitions

•  Infected: at least one positive HIV culture of peripheral-blood mononuclear cells, at birth, 12 weeks, 24 weeks, and/or 78 weeks, from certified labs

•  Not Infected: all cultures through 78 weeks negative

•  Censored: negative through < 78 weeks

69

Page 70: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Sample Size Determinants

•  Variables of interest –  type of data e.g. continuous, categorical

•  Desired significance level (α) •  Desired power for effect/difference of

clinical importance (1 – β) •  Standard deviations of continuous

outcome variables •  Analysis plan

70

Page 71: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Sample Size for Comparing Proportions

Total Sample Size for α = 0.05

π1 π2 β = 0.2 β = 0.1

0.60 0.50 780 1040

0.40 200 260

0.30 90 120

0.30 0.20 590 790

0.15 250 330

0.10 0.05 870 1170

Excerpted from Table 7-3 of Friedman et al. (1998) 71

Page 72: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

ACTG 076 Statistical Considerations

•  Focus on infection rates at 18 months of life, based on testing at birth, 12, 24, and 78 weeks of life

•  Rate estimates account for censoring •  α = 0.05 (overall, allowing for three

interim and one final analysis) •  β = 0.20 for a 1/3 reduction from 0.30 •  Total N = 636 assessable pairs

72

Page 73: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Sample Size for Comparing Proportions

Total Sample Size for α = 0.05

π1 π2 β = 0.2 β = 0.1

0.60 0.50 780 1040

0.40 200 260

0.30 90 120

0.30 0.20 590 790

0.15 250 330

0.10 0.05 870 1170

Excerpted from Table 7-3 of Friedman et al. (1998) 73

Page 74: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

MOP: Manual of Procedures or Manual of Operations

•  Can another investigator step into the study (or reproduce it) at any time?

•  Study organization •  Which data to be collected, how •  Follow-up schedule, with visit windows •  Specimen collection and handling •  Adverse event collection, reporting

74

Page 75: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Randomization

75

Page 76: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Randomization: Definition •  Random Allocation

– Known chance of receiving a treatment – Cannot predict the treatment to be assigned – Not a random sample from target population

•  Eliminate Selection Bias – Outcome measurements may still be biased

•  Similar Treatment Groups – Does not eliminate baseline differences –  If baseline differences they arose by chance

76

Page 77: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

ONE Factor is Different •  Randomization tries to minimize

differences between two or more groups other than treatment assignment

•  Observe the consequences •  Attribute difference to causality

•  In truth, a rarity and cannot test

77

Page 78: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Simple Randomization

•  Randomize each patient to a treatment with a known probability – Corresponds to flipping a coin (head/back)

•  Could have imbalance in # / group or trends in group assignment

•  Could have different distributions of a trait like gender in the two arms

78

Page 79: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Block Randomization

•  Insure the # of patients assigned to each treatment is not far out of balance – Block size = 6, 2 study interventions (A and B)

• AAABBB, BAABAB, ABABAB…. •  Variable block size - additional layer of

blinding •  Different distributions of a trait like gender

in the two arms possible

79

Page 80: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Stratified Randomization

•  A priori certain factors likely important (e.g. known risk factors, research site)

•  Randomize so different levels of the factor are balanced between treatment groups

•  For each stratum perform a separate block randomization

80

Page 81: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Cluster Randomization •  Unit of randomization

– School/Clinic/Hospitals – Providers

•  Outcome measurement – Students – Patients

•  Special analysis methods needed

81

Page 82: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Masking/Blinding

•  Disguise or conceal actual treatment assignment

•  Prevent even unintentional bias in subjective assessments by subjects and researchers

82

Page 83: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Masking/Blinding

•  Disguise or conceal actual treatment assignment

•  Prevent even unintentional bias in subjective assessments by subjects and researchers

•  Specify criteria for unmasking, people to be unmasked

83

Page 84: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Intent to Treat vs. Completers

•  ITT = Intent To Treat analysis –  Includes everyone randomized

•  MITT = Modified ITT analysis –  ITT, but only include people who start the

intervention they are assigned to •  Completers or Adherers analysis

– Only the well behaved

84

Page 85: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Phase I to Phase IV Trials

•  National Cancer Institute: Dictionary of Cancer Terms

•  Phase I - The first step in testing a new treatment in humans

•  Test the best way to give a new treatment (for example, by mouth, intravenous infusion, or injection) and the best dose

85

Page 86: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Phase I

•  Dose increased little at a time •  Find the highest dose that does not cause

harmful side effects •  Little known about possible risks and

benefits of the treatments being tested •  Trials usually include only a small number

of patients who have not been helped by other treatments

86

Page 87: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Phase II

•  A study to test whether a new treatment has an anticancer effect (for example, whether it shrinks a tumor or improves blood test results) and whether it works against a certain type of cancer

•  Surrogate endpoints

– Note: many things shrink tumors and do not improve survival/quality of life (ACRT/SCTS story)

87

Page 88: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Phase III

•  A study to compare the results of people taking a new treatment with the results of people taking the standard treatment (for example, which group has better survival rates or fewer side effects)

•  “Definitive”

88

Page 89: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Phase IV •  After a treatment has been approved and

is being marketed, it is studied in a phase IV trial to evaluate side effects or other indications or populations that were not apparent in the Phase III trial

•  Thousands of people are involved in a Phase IV trial

•  Different population from Phase III •  Duration of use

89

Page 90: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Data and Safety Monitoring in Clinical Research

90

Page 91: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Usual Experiment Timeline

Design

Preparation

Experiment

Analyze

Report

91

Page 92: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Clinical Trial Timeline

Design and Preparation

Recruit Intervene Observe

Report

92

Page 93: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Clinical Trial Timeline

Design and Preparation

Recruit Intervene Observe

Report

Overlap provides the opportunity to monitor 93

Page 94: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Definition

(Data and safety) monitoring is the planned review of study progress to enhance the quality of study conduct, detect problems, and allow appropriate changes to the study.

94

Page 95: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Presentation Outline

•  Example – monitoring by independent Data and Safety Monitoring Board (DSMB)

•  Data and safety monitoring basics – monitoring all kinds of studies

•  When to use a DSMB

95

Page 96: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

ACTG 076 •  AZT able to slow progression of

HIV in adults with advanced disease

•  AIDS Clinical Trials Group Protocol 076 designed to assess both safety and efficacy of AZT in preventing transmission of HIV from infected women to their babies

96

Page 97: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

ACTG 076 •  Powered (80%) to detect a 33%

reduction of transmission rate (through 78 weeks of life) relative to projected rate of 30%

•  Target N was 748; began April 1991 •  Projected accrual to take at least 5

years and 15% dropouts

97

Page 98: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

ACTG 076 Monitoring Plan

•  DSMB met twice a year to monitor safety •  Efficacy reviews planned after each 1/3

of projected infant infections (with censoring the number of events plays the role of the number of subjects)

•  1st efficacy review took place in February 1994, based on mothers enrolled up to December 1993 and their babies

98

Page 99: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Group Sequential Boundaries

99

Page 100: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

P = 0.00006

At First Interim Analysis

100

Page 101: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

ACTG 076 •  After careful review of data quality and

completeness, toxicity, transmission rates, DSMB recommended stopping

•  Trial leaders and NIAID agreed •  AZT provided to those in control group •  U.S. Public Health Service Guidelines

modified •  Ref: Connor et al. (1994) NEJM

101

Page 102: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Presentation Outline

ü Example – monitoring by independent Data and Safety Monitoring Board

•  Data and safety monitoring basics – monitoring all kinds of studies

•  When to use a DSMB

102

Page 103: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Data and Safety Monitoring: Why?

•  To identify any safety problem rapidly •  To identify logistical problems •  To evaluate continued feasibility of trial •  To determine if trial objectives have

been met and trial may be terminated early

103

Page 104: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Data and Safety Monitoring: What? Logistics

•  Enrollment •  Baseline Data, Comparability •  Protocol Compliance •  Specimen Collection • Data Quality Develop specific benchmarks

104

Page 105: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Realities of Subject Recruitment

•  Early estimates unrealistically high •  Takes a major effort •  People presumed eligible for study during

planning will disappear mysteriously as soon as the study starts

•  Recruitment will be more difficult, cost more, and take longer than planned

105

Page 106: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

106

Page 107: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Prepare! •  Collect reliable data to estimate

participant availability •  Commonly enroll half of those screened •  Decide on general recruitment approach •  Outline steps in recruitment process •  Establish necessary recruitment contacts

107

Page 108: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Recruitment Mistakes/Problems •  Attempting recruitment without the

support of colleagues •  Taking access to medical records for

granted •  Failing to secure enthusiasm and

commitment of staff •  Inadequate publicity

108

Page 109: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

CONSORT Diagram

# screened

# entered

# analyzed

# ineligible (reasons) # refused (reasons)

# withdrawn (reasons) # lost to follow-up # discontinued therapy # completed

109

Page 110: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Protocol Adherence Missed Visits

Baseline Visit 1 … Last Visit # Expected … # Missed …

% Retained …

Overdue Forms Baseline Visit 1 … Last Visit

# Expected # Received % Complete

110

Page 111: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Baseline Characteristics

Gender % Female

Age Median, Min, Max

Stage of Disease % Early, % Advanced

Prior Therapy % None, % Surgery, % Chemo

111

Page 112: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

076 Database as of 12/93

AZT Placebo Total Women enrolled 239 238 477

Still pregnant 24 24 48

Withdrew before giving birth 11 10 21

Births 205 204 409

At least one culture 180 183 363

No cultures 25 21 46

112

Page 113: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Reasons for Lack of Cultures

Withdrawal 6

Death 1

Too young 20

Results not submitted 19

113

Page 114: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Data and Safety Monitoring: What?

Outcomes •  Adverse Events •  Interim Variables • Response Variables (Endpoints)

114

Page 115: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Serious Adverse Events

Line Listing showing Event Study entry, treatment start dates Event start, stop dates, final resolution Relationship to research procedures Other relevant patient characteristics

115

Page 116: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Adverse Event Summaries Lab Abnormalities and Clinical Signs

Tables of frequencies, by AE type and severity

•  Include all those treated •  Sort by body system •  Count 1st occurrence for each volunteer •  Summarize across types

116

Page 117: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Adverse Event Summaries Body System MedDra Term

Mild

Moderate

Severe or Worse

Total

INFECTIONS INFESTATIONS

3(30%)

1(10%)

0(0%)

4(40%)

Gastroenteritis 1(10%) 0(0%) 0(0%) 1(10%)

Sinusitis 1(10%) 0(0%) 0(0%) 1(10%)

URI 0(0%) 1(10%) 0(0%) 1(10%)

Viral infection 1(10%) 0(0%) 0(0%) 1(10%)

Table: Frequencies (relative frequencies) of adverse events among 10 subjects treated

117

Page 118: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Efficacy Summaries

Summarize study endpoints: •  % treatment success •  Average AUC, antibody response, etc.

118

Page 119: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Data and Safety Monitoring: Who?

•  Ethics Committee(s) •  Sponsor •  Regulatory Agencies •  Data and Safety Monitoring Board

(DSMB, DSMC, DMC, External DMB, etc) •  Investigator(s) •  Safety Monitor

119

Page 120: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Why Data and Safety Monitoring Boards?

•  To ensure regular and systematic interim monitoring

•  To provide an objective assessment of the interim data

•  To protect confidentiality of interim treatment comparisons

120

Page 121: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Generally Accepted Principles

•  Certain types of trials should have formal DSMBs

•  DSMBs should be multidisciplinary •  A charter should describe the operations

and procedures of a committee •  DSMB members should be free of conflicts

of interest •  Interim data should be considered highly

confidential 121

Page 122: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

An Independent DSMB Is One in Which No Member Has

•  Any basis for preferring the outcome to be in one or the other direction

•  Any ability to influence the trial conduct in a role other than that of DSMB member

122

Page 123: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Confidentiality of Interim Results

•  Interim comparative data generally considered highly confidential, because

•  Knowledge of interim data could affect – patient entry – patient care – patient assessment – sponsor action complicating interpretation of results

123

Page 124: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Scope of DSMB Responsibilities

•  Evaluating accumulating data with regard to efficacy and toxicity

•  Recommending termination or continuation of study

•  Recommending other study modifications •  Reviewing study protocol •  Assessing study conduct •  Recommending additional analyses

124

Page 125: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Monitoring Recommendations

•  Continue Protocol Unmodified •  Modify Protocol •  Terminate Trial

125

Page 126: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

DSMB May Recommend Stopping If •  A safety issue has emerged •  The trial has already shown

efficacy •  Interim results preclude a

positive finding •  Operational difficulties are

insurmountable •  External information

undercuts the scientific rationale for the trial

126

Page 127: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Decision Making Process is Complex

•  Internal consistency •  External consistency •  Benefit/risk balance •  Current vs. future patients •  Clinical and public health impact •  Statistical issues

127

Page 128: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

ALL TRIALS NEED MONITORING BUT NOT ALL TRIALS

NEED DSMBS

Page 129: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Data and Safety Monitoring Regulations, Policies

•  Regulations NONE •  Policies - NIH

– All trials need a plan – describe in application (2000 NIH Guide)

– Phase III trials must use a DSMB (1998 NIH Guide)

129

Page 130: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Data and Safety Monitoring Policies, Guidelines

•  Policies - NIAID – Clinical Terms of Award – NIAID Policy on DSMB Operations

(2006, 2008, 2009) •  FDA Guidance on DMCs (2006) •  ICH Good Clinical Practice Guidances

130

Page 131: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

When Are Independent DSMBs Needed?

•  Large randomized trials with mortality or major morbidity endpoints

•  Trials for which assessment of serious toxicity requires comparison of rates

•  Trials of novel, potentially high-risk treatments

131

Page 132: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Independent DSMBs Generally Not Needed for •  Single-arm trials •  Early phase trials •  Short-term trials of treatments to

relieve common symptoms •  Any trial for which there is no ethically

compelling need to monitor the interim comparisons of safety or efficacy

132

Page 133: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

TRIAL LIFE -- OVERSIGHT

START END

IRB

DSMB DSMB

End of Year 1

End of Year 2

IRB IRB DSMB DSMB

IRB

IRBs and DSMB review the proposed “Data and Safety Monitoring Plan” as part of the initial protocol review

133

Page 134: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Summary

Monitoring •  Contributes to quality and ethics of study

conduct •  Requires planning •  Can take a variety of forms based on risks

of participation and study size and complexity

•  DSMBs serve as a model 134

Page 135: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Resources: General Books •  Hulley et al (2007) Designing Clinical Research,

3rd ed. Lippincott Williams & Wilkins, Philadelphia

•  Bland (2000) An Introduction to Medical Statistics, 3rd. ed. Oxford University Press

•  Armitage, Berry and Matthews (2002) Statistical Methods in Medical Research, 4th ed. Blackwell, Oxford

•  Friedman, Furberg, DeMets (2010) Fundamentals of Clinical Trials, 4th ed. Springer, New York

135

Page 136: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Resources: General/Text Books

•  Altman (1991) Practical Statistics for Medical Research. Chapman and Hall

•  Fisher and Van Belle (2004) Wiley •  Simon et al. (2003) Design and Analysis of DNA

Microarray Investigations. Springer •  Rosner Fundamentals of Biostatistics. Choose

an edition. Has a study guide, too.

136

Page 137: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Resources: FDA Guidance

•  http://www.fda.gov/cdrh/ode/odeot476.html (devices, non-diagnostic)

•  http://www.fda.gov/cdrh/osb/guidance/1620.html (diagnostics)

•  And all the ones listed before

137

Page 138: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Resources: URLs •  Sample size calculations simplified

–  http://www.tufts.edu/~gdallal/SIZE.HTM

•  Stat guide: research grant applicants, St. George’s Hospital Medical School (http://www.sgul.ac.uk/depts/chs/chs_research/stat_guide/guide.cfm)

–  http://tinyurl.com/2mh42a •  Software: nQuery, EpiTable, SeqTrial, PS (http://

biostat.mc.vanderbilt.edu/twiki/bin/view/Main/PowerSampleSize)

–  http://tinyurl.com/zoysm

138

Page 139: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Software

•  Most is expensive and some have yearly license fees – Sometimes universities have agreements and

costs less •  Some is hard to use, some is easy

139

Page 140: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Other Software

•  STATA (Windows/Mac/UNIX) – Good for general computation, survival,

diagnostic testing – Epi friendly – GUI/menu and command driven – Active user community – www.stata.com

140

Page 141: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Other Software

•  SAS (Windows/UNIX) – Command driven – Difficult to use, but very good once you know

how to use it – Many users on the East coast – www.sas.com

•  SPSS, EpiCure, many others

141

Page 142: Introduction to Biostatistics - The University of Chicago · Introduction to Biostatistics Dennis O. Dixon, Ph.D. ... Basic Design Components ... Designing a Clinical Study

Statistical Calculators •  www.randomization.com •  http://calculators.stat.ucla.edu/

–  “Statistical Calculators” –  Down recently

•  http://statpages.org/ •  http://www.biostat.wisc.edu/landemets/ •  http://www.stat.uiowa.edu/~rlenth/Power

142