The alpha spending function approach to interim data analyses.

Over the past three decades, clinical trials have become one of the major standards for evaluating new therapies and interventions in medicine [1–3]. Numerous clinical trials have been conducted during this period across a wide variety of diseases, evaluating drugs, procedures, devices, and biologic materials. The fundamentals of the design, conduct, and analyses of clinical trials have been developed and refined during this period as well. One such fundamental is that clinical data should be carefully monitored during the course of the trial so that unexpected or unacceptable toxicity can be detected as soon as possible in order to minimize patient exposure; in addition, trials should not be continued longer than necessary to prove the benefits of the therapy or intervention under study, or to understand the trade-offs between the benefits and risks of the therapy. In order to accomplish this goal, the National Institutes of Health sponsored a committee in the 1960s to develop guidelines for the conduct of clinical trials. The chair of this committee was Dr. Bernard Greenberg from the University of North Carolina, and the report, which was issued in 1967, has become known as the Greenberg Report [4], although it was only recently published in the literature. This report endorses the concept of interim review of data by an independent Data and Safety Monitoring Board (DSMB), a committee that has no conflict of interest for the study. This typically means that committee members should not be investigators entering patients into the trial. The Coronary Drug Project (CDP) [5] was one of the first trials to implement the Greenberg model.

[1]  T. Fleming,et al.  Parameter estimation following group sequential hypothesis testing , 1990 .

[2]  D. Harrington,et al.  Counting Processes and Survival Analysis , 1991 .

[3]  D L Demets,et al.  Group sequential procedures: calendar versus information time. , 1989, Statistics in medicine.

[4]  Michael A. Proschan,et al.  Effects of assumption violations on type I error rate in group sequential monitoring , 1992 .

[5]  S. Pocock,et al.  Stopping rules and estimation problems in clinical trials. , 1988, Statistics in medicine.

[6]  P. Armitage,et al.  Sequential medical trials. 2nd edition. , 1975 .

[7]  J. S. D. Cani,et al.  Group sequential designs using a family of type I error probability spending functions. , 1990, Statistics in medicine.

[8]  J. Ware,et al.  Random-effects models for longitudinal data. , 1982, Biometrics.

[9]  P. Canner Monitoring treatment differences in long-term clinical trials. , 1977, Biometrics.

[10]  S. Pocock,et al.  Clinical Trials: A Practical Approach , 1984 .

[11]  P. Meier,et al.  Statistics and medical experimentation. , 1975, Biometrics.

[12]  Christopher Jennison,et al.  Interim analyses: the repeated confidence interval approach , 1989 .

[13]  D. Siegmund Estimation following sequential tests , 1978 .

[14]  Emerson Ss,et al.  Interim analyses in clinical trials. , 1990 .

[15]  J. Whitehead Overrunning and underrunning in sequential clinical trials. , 1992, Controlled Clinical Trials.

[16]  A A Tsiatis,et al.  Exact confidence intervals following a group sequential test. , 1984, Biometrics.

[17]  D. DeMets,et al.  Fundamentals of Clinical Trials , 1982 .

[18]  Anastasios A. Tsiatis,et al.  Exact confidence intervals following a group sequential trial: A comparison of methods , 1988 .

[19]  B. Turnbull,et al.  Repeated confidence intervals for group sequential clinical trials. , 1984, Controlled clinical trials.

[20]  T R Fleming,et al.  Symmetric group sequential test designs. , 1989, Biometrics.

[21]  K Kim,et al.  Point estimation following group sequential tests. , 1989, Biometrics.

[22]  James H. Ware,et al.  On distribution-free tests for equality of survival distributions , 1977 .

[23]  Stephen L. George,et al.  Fundamentals of Clinical Trials. (2nd ed.). , 1987 .

[24]  N L Geller,et al.  On the choice of times for data analysis in group sequential clinical trials. , 1991, Biometrics.

[25]  David M. Reboussin,et al.  Information and information fractions for design and sequential monitoring of clinical trials , 1994 .

[26]  K Kim Study duration for group sequential clinical trials with censored survival data adjusting for stratification. , 1992, Statistics in medicine.

[27]  J M Lachin,et al.  Group sequential distribution-free methods for the analysis of multivariate observations. , 1992, Biometrics.

[28]  David L. DeMets,et al.  Design and analysis of group sequential tests based on the type I error spending rate function , 1987 .

[29]  M D Hughes,et al.  Practical problems in interim analyses, with particular regard to estimation. , 1989, Controlled clinical trials.

[30]  I. Bross,et al.  Sequential Medical Plans. , 1952 .

[31]  K Kim,et al.  Study duration for clinical trials with survival response and early stopping rule. , 1990, Biometrics.

[32]  D L DeMets,et al.  Changing frequency of interim analysis in sequential monitoring. , 1989, Biometrics.

[33]  Christopher Jennison,et al.  Statistical Approaches to Interim Monitoring of Medical Trials: A Review and Commentary , 1990 .

[34]  K Kim,et al.  Confidence intervals following group sequential tests in clinical trials. , 1987, Biometrics.

[35]  David L. DeMets,et al.  Sequential Comparison of Changes with Repeated Measurements Data , 1991 .

[36]  P. Armitage,et al.  Design and analysis of randomized clinical trials requiring prolonged observation of each patient. I. Introduction and design. , 1976, British Journal of Cancer.

[37]  S. Pocock Statistical and ethical issues in monitoring clinical trials. , 1993, Statistics in medicine.

[38]  David L. DeMets,et al.  Stopping guidelines vs stopping rules: a practitioner's point of view , 1984 .

[39]  Max Halperin,et al.  More flexible sequential and non-sequential designs in long-term clinical trial , 1984 .

[40]  Mitchell H. Gail,et al.  Simulation Studies on Increments of the Two-Sample Logrank Score Test for Survival Time Data, with Application to Group Sequential Boundaries , 1982 .

[41]  J. Whitehead,et al.  A FORTRAN program for the design and analysis of sequential clinical trials. , 1983, Computers and biomedical research, an international journal.

[42]  M. Weir,et al.  The Cardiac Arrhythmia Suppression Trial Investigators: Preliminary Report: Effect of Encainide and Flecainide on Mortality in a Randomized Trial of Arrhythmia Suppression After Myocardial Infarction. , 1990 .

[43]  J. Haybittle,et al.  Repeated assessment of results in clinical trials of cancer treatment. , 1971, The British journal of radiology.

[44]  F. J. Anscombe Sequential Medical Trials , 1963 .

[45]  P. O'Brien,et al.  Confidence intervals following group sequential tests. , 1986, Controlled clinical trials.

[46]  D L DeMets,et al.  Interim analysis: the alpha spending function approach. , 1994, Statistics in medicine.

[47]  S. Pocock Group sequential methods in the design and analysis of clinical trials , 1977 .

[48]  Y Pawitan,et al.  Statistical interim monitoring of the Cardiac Arrhythmia Suppression Trial. , 1990, Statistics in medicine.

[49]  S. Rössner,et al.  Coronary Drug Project Research Group. , 1978, Atherosclerosis.

[50]  Thomas Sellke,et al.  Sequential analysis of the proportional hazards model , 1983 .

[51]  P. O'Brien,et al.  A multiple testing procedure for clinical trials. , 1979, Biometrics.

[52]  T R Fleming,et al.  Treatment evaluation in active control studies. , 1987, Cancer treatment reports.

[53]  John M. Lachin,et al.  Interim analyses with repeated measurements in a sequential clinical trial , 1990 .

[54]  K. K. Lan,et al.  Discrete sequential boundaries for clinical trials , 1983 .

[55]  J. W. Lee,et al.  Group sequential testing in clinical trials with multivariate observations: a review. , 1994, Statistics in medicine.

[56]  W. Rogers,et al.  Preliminary report: effect of encainide and flecainide on mortality in a randomized trial of arrhythmia suppression after myocardial infarction. , 1989, The New England journal of medicine.

[57]  Lippincott Williams Wilkins,et al.  The early termination of clinical trials: causes, consequences, and control. With special reference to trials in the field of arrhythmias and sudden death. Task Force of the Working Group on Arrhythmias of the European Society of Cardiology. , 1994, European heart journal.

[58]  K Kim,et al.  Sample size determination for group sequential clinical trials with immediate response. , 1992, Statistics in medicine.

[59]  Rupert G. Miller,et al.  Survival Analysis , 2022, The SAGE Encyclopedia of Research Design.

[60]  T. Fleming Evaluation of active control trials in AIDS. , 1990, Journal of acquired immune deficiency syndromes.

[61]  D. Zucker,et al.  Sequential monitoring of clinical trials: the role of information and Brownian motion. , 1993, Statistics in medicine.

[62]  E. J. Williams Some representations of stable random variables as products , 1977 .

[63]  D L DeMets,et al.  Monitoring of clinical trials: issues and recommendations. , 1993, Controlled clinical trials.

[64]  David L. DeMets,et al.  Sequential Rank Tests with Repeated Measurements in Clinical Trials , 1992 .

[65]  J M Lachin,et al.  Use of spending functions for occasional or continuous monitoring of data in clinical trials. , 1993, Statistics in medicine.

[66]  T. Lai Incorporating scientific, ethical and economic considerations into the design of clinical trials in the pharmaceutical industry: a sequential approach , 1984 .

[67]  P. Armitage,et al.  Repeated Significance Tests on Accumulating Data , 1969 .

[68]  H. Robbins Statistical Methods Related to the Law of the Iterated Logarithm , 1970 .

[69]  M H Gail,et al.  Use of logrank tests and group sequential methods at fixed calendar times. , 1985, Biometrics.

[70]  S. Pocock,et al.  When to stop a clinical trial. , 1992, BMJ.

[71]  C. Gilligan,et al.  Calcium supplementation and bone loss in middle-aged women. , 1989, The American journal of clinical nutrition.

[72]  J M Lachin,et al.  Implementation of group sequential logrank tests in a maximum duration trial. , 1990, Biometrics.

[73]  Janet Wittes,et al.  Data monitoring in complex clinical trials: which treatment is better'? , 1994 .

[74]  T R Fleming,et al.  Approaches to monitoring clinical trials. , 1989, Journal of the National Cancer Institute.

[75]  David L. DeMets,et al.  Asymmetric group sequential boundaries for monitoring clinical trials , 1982 .

[76]  John Whitehead,et al.  On the bias of maximum likelihood estimation following a sequential test , 1986 .

[77]  D L Demets,et al.  Practical aspects in data monitoring: a brief review. , 1987, Statistics in medicine.

[78]  David L. DeMets,et al.  Statistical aspects of early termination in the beta-blocker heart attack trial , 1984 .

[79]  Anastasios A. Tsiatis,et al.  Repeated Significance Testing for a General Class of Statistics Used in Censored Survival Analysis , 1982 .

[80]  M. Pike,et al.  Design and analysis of randomized clinical trials requiring prolonged observation of each patient. II. analysis and examples. , 1977, British Journal of Cancer.

[81]  Eric V. Slud,et al.  Two-Sample Repeated Significance Tests Based on the Modified Wilcoxon Statistic , 1982 .

[82]  M C Wu,et al.  Sequential monitoring for comparison of changes in a response variable in clinical studies. , 1992, Biometrics.