Cancer Clinical Trials pp 55-66 | Cite as
Statistical Tools for Subset Analysis in Clinical Trials
Abstract
The topic of subset analysis is complex, yet it has evoked simplistic solutions and strong feelings as a results of these simplistic solutions. There are some clinical investigators who ransack their data to find a subset of patients in which their new therapy looks effective. They report the findings in apparent ignorance of the problems of multiple comparisons, and their statistically significant finding looks good to the mass of statistically unsophisticated readers. Many of us react strongly to this, and the phrase “subset analysis” itself acquires a connotation of deception and sophistry. We hear individuals say that it is all right to look at subset results, but don’t believe them. We hear that subset analyses can only generate hypotheses to be tested in other clinical trials. Does this mean that one must entirely ignore subset results regardless of how strong they are? Is it practical to design future studies and treat future patients on this basis? Does this also hold for clinical trials of cardiovascular disease or cancer prevention which may involve enormous numbers of patients and cost tens of millions of dollars? Is this sensible statistically?
Keywords
Treatment Difference Subset Analysis Interaction Test Nonparametric Maximum Likelihood Multiple Comparison ProblemPreview
Unable to display preview. Download preview PDF.
References
- Cornfield J (1976) Recent methodological contributions to clinical trials. Am J Epidemiol 104: 408–421PubMedGoogle Scholar
- Donner A (1982) A Bayesian approach to the interpretation of subgroup results in clinical trials. J Chronic Dis 35: 429–435PubMedCrossRefGoogle Scholar
- Efron B, Morris C (1973) Stein’s estimation rule and its competitors—an empirical Bayes approach. J Am Stat Assoc 68: 117–130CrossRefGoogle Scholar
- Furberg CD, Byington RP (1983) What do subgroup analyses reveal about differential response to beta-blocker therapy? Circulation 67 (suppl I): 198–1101CrossRefGoogle Scholar
- Furberg CD, Hawkins CM, Lichstein E (1983) Effect of propranolol in postinfarction patients with mechanical or electrical complications. Circulation 69: 761–765CrossRefGoogle Scholar
- Gail M, Simon R (1985) Testing for qualitative interactions between treatment effects and patient subsets. Biometrics 41: 361–372PubMedCrossRefGoogle Scholar
- Laird NM (1978) Nonparametric maximum likelihood estimation of a mixing distribution. J Am Statist Assn 73: 805–811CrossRefGoogle Scholar
- Peto R (1982) Statistical aspects of cancer trials. In: Hainan KE (ed) Treatment of cancer. Chapman and Hall, London, pp 867–871Google Scholar
- Simon R (1982) Patient subsets and variation in therapeutic efficacy. Br J Clin Pharmacol 14: 473–482PubMedGoogle Scholar
- Simon R (1986) Confidence intervals for reporting results of clinical trials. Ann Intern Med 105:429–435PubMedGoogle Scholar
- Thomas DC, Siemiatycki J, Dewar R, Robins J, Goldberg M, Armstrong BG (1985) The problem of multiple inference in studies designed to generate hypotheses. Am J Epidemiol 122: 1080–1095PubMedGoogle Scholar