Table of Contents

 

 

 

 

Preface to the Second Edition

xiii

 

Preface to the First Edition

xvii

 

Acknowledgements

xxi

1

Introduction

1

1.1

Drug Development

1

1.2

The Role of Statistics in Drug Development

2

1.3

The Object of this Book

3

1.4

The Author’s Knowledge of Statistics in Drug Development

4

1.5

The Reader and His or Her Knowledge of Statistics

4

1.6

How to Use the Book

5

 

References

6

PART 1

FOUR VIEWS OF STATISTICS IN DRUG DEVELOPMENT: HISTORICAL, METHODOLOGICAL, TECHNICAL AND PROFESSIONAL

9

2

A Brief and Superficial History of Statistics for Drug Developers

11

2.1

Introduction

11

2.2

Early Probabilists

12

2.3

James Bernoulli (1654-1705)

13

2.4

John Arbuthnott (1667-1753)

14

2.5

The Mathematics of Probability in the Late 17th, the 18th and Early 19th Centuries

14

2.6

Thomas Bayes (1701-1761)

15

2.7

Adolphe Quetelet (1796-1874)

16

2.8

Francis Galton (1822-1911)

16

2.9

Karl Pearson (1857-1936)

17

2.10

‘Student’ (1876-1937)

17

2.11

R.A. Fisher (1890-1962)

17

2.12

Modern Mathematical Statistics

18

2.13

Medical Statistics

19

2.14

Statistics in Clinical Trials Today

20

2.15

The Current Debate

21

2.16

A Living Science

21

2.17

Further Reading

23

 

References

23

3

Design and Interpretation of Clinical Trials as Seen by a Statistician

27

3.1

Prefatory Warning

27

3.2

Introduction

27

3.3

Defining Effects

28

3.4

Practical Problems in Using the Counterfactual Argument

28

3.5

Regression to the Mean

29

3.6

Control in Clinical Trials

33

3.7

Randomization

34

3.8

Blinding

36

3.9

Using Concomitant Observations

37

3.10

Measuring Treatment Effects

38

3.11

Data Generation Models

39

3.12

In Conclusion

41

3.13

Further Reading

41

 

References

41

4

Probability, Bayes, P-Values, Tests of Hypotheses and Confidence Intervals

43

4.1

Introduction

43

4.2

An Example

44

4.3

Odds and Sods

44

4.4

The Bayesian Solution to the Example

45

4.5

Why Don’t We Regularly Use the Bayesian Approach in Clinical Trials?

46

4.6

A Frequentist Approach

47

4.7

Hypothesis Testing in Controlled Clinical Trials

48

4.8

Significance Tests and P-Values

49

4.9

Confidence Intervals and Limits and Credible Intervals

50

4.10

Some Bayesian Criticism of the Frequentist Approach

51

4.11

Decision Theory

51

4.12

Conclusion

52

4.13

Further Reading

52

 

References

53

5

The Work of the Pharmaceutical Statistician

55

5.1

Prefatory Remarks

55

5.2

Introduction

56

5.3

In the Beginning

57

5.4

The Trial Protocol

57

5.5

The Statistician’s Role in Planning the Protocol

58

5.6

Sample Size Determination

59

5.7

Other Important Design Issues

60

5.8

Randomization

60

5.9

Data Collection Preview

61

5.10

Performing the Trial

61

5.11

Data Analysis Preview

61

5.12

Analysis and Reporting

62

5.13

Other Activities

63

5.14

Statistical Research

63

5.15

Further Reading

64

 

References

65

PART 2

STATISTICAL ISSUES: DEBATABLE AND CONTROVERSIAL TOPICS IN DRUG DEVELOPMENT

67

6

Allocating Treatments to Patients in Clinical Trials

69

6.1

Background

69

6.2

Issues

71

 

References

87

6.A

Technical Appendix

88

7

Baselines and Covariate Information

95

7.1

Background

95

7.2

Issues

98

 

References

108

7.A

Technical Appendix

109

8

The Measurement of Treatment Effects

113

8.1

Background

113

8.2

Issues

114

 

References

129

8.A

Technical Appendix

130

9

Demographic Subgroups: Representation and Analysis

133

9.1

Background

133

9.2

Issues

134

 

References

144

9.A

Technical Appendix

145

10

Multiplicity

149

10.1

Background

149

10.2

Issues

150

 

References

161

10.A

Technical Appendix

162

11

Intention to Treat, Missing Data and Related Matters

165

11.1

Background

165

11.2

Issues

167

 

References

178

11.A

Technical Appendix

180

12

One-Sided and Two-Sided Tests and Other Issues to Do with Significance and P-Values

183

12.1

Background

183

12.2

Issues

184

 

References

192

13

Determining the Sample Size

195

13.1

Background

195

13.2

Issues

198

 

References

211

14

Multicentre Trials

213

14.1

Background

213

14.2

Issues

213

 

References

230

14.A

Technical Appendix

231

15

Active Control Equivalence Studies

235

15.1

Background

235

15.2

Issues

237

 

References

247

15.A

Technical Appendix

249

16

Meta-Analysis

251

16.1

Background

251

16.2

Issues

253

 

References

268

16.A

Technical Appendix

270

17

Cross-Over Trials

273

17.1

Background

273

17.2

Issues

275

 

References

284

18

n-of-1 Trials

287

18.1

Background

287

18.2

Issues

289

 

References

293

19

Sequential Trials

295

19.1

Background

295

19.2

Issues

302

 

References

313

20

Dose-Finding

317

20.1

Background

317

20.2

Issues

319

 

References

334

21

Concerning Pharmacokinetics and Pharmacodynamics

337

21.1

Background

337

21.2

Issues

343

 

References

358

22

Bioequivalence Studies

361

22.1

Background

361

22.2

Issues

362

 

References

379

23

Safety Data, Harms, Drug Monitoring and Pharmaco-Epidemiology

383

23.1

Background

383

23.2

Issues

388

 

References

403

24

Pharmaco-Economics and Portfolio Management

405

24.1

Background

405

24.2

Issues

407

 

References

429

25

Concerning Pharmacogenetics, Pharmacogenomics and Related Matters

433

25.1

Background

433

25.2

Issues

437

 

References

450

25.A

Technical Appendix

451

 

Glossary

453

 

Index

483