Skip to main content
The BMJ logoLink to The BMJ
. 1989 Sep 9;299(6700):663–665. doi: 10.1136/bmj.299.6700.663

Sample size and power for comparing two or more treatment groups in clinical trials.

S J Day 1, D F Graham 1
PMCID: PMC1837599  PMID: 2508857

Abstract

Methods for determining sample size and power when comparing two groups in clinical trials are widely available. Studies comparing three or more treatments are not uncommon but are more difficult to analyse. A linear nomogram was devised to help calculate the sample size required when comparing up to five parallel groups. It may also be used retrospectively to determine the power of a study of given sample size. In two worked examples the nomogram was efficient. Although the nomogram offers only 5% and 1% significance levels and can be used only for up to five treatment groups, this is sufficient for most researchers.

Full text

PDF
665

Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Banner N. R., Lloyd M. H., Hamilton R. D., Innes J. A., Guz A., Yacoub M. H. Cardiopulmonary response to dynamic exercise after heart and combined heart-lung transplantation. Br Heart J. 1989 Mar;61(3):215–223. doi: 10.1136/hrt.61.3.215. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. Clark C. J., Downie C. C. A method for the rapid determination of the number of patients to include in a controlled clinical trial. Lancet. 1966 Dec 17;2(7477):1357–1358. doi: 10.1016/s0140-6736(66)92098-8. [DOI] [PubMed] [Google Scholar]
  3. Day S. J. Clinical trial numbers and confidence intervals of pre-specified size. Lancet. 1988 Dec 17;2(8625):1427–1427. doi: 10.1016/s0140-6736(88)90620-4. [DOI] [PubMed] [Google Scholar]
  4. Dodd P., Day S. J., Goldhill D. R., MacLeod D. M., Withington P. S., Yate P. M. Glycopyrronium requirements for antagonism of the muscarinic side effects of edrophonium. Br J Anaesth. 1989 Jan;62(1):77–81. doi: 10.1093/bja/62.1.77. [DOI] [PubMed] [Google Scholar]
  5. Lachin J. M. Sample size determinants for r X c comparative trials. Biometrics. 1977 Jun;33(2):315–324. [PubMed] [Google Scholar]
  6. Lucki I., Rickels K., Giesecke M. A., Geller A. Differential effects of the anxiolytic drugs, diazepam and buspirone, on memory function. Br J Clin Pharmacol. 1987 Feb;23(2):207–211. doi: 10.1111/j.1365-2125.1987.tb03031.x. [DOI] [PMC free article] [PubMed] [Google Scholar]
  7. McHugh R. B., Le C. T. Confidence estimation and the size of a clinical trial. Control Clin Trials. 1984 Jun;5(2):157–163. doi: 10.1016/0197-2456(84)90121-1. [DOI] [PubMed] [Google Scholar]
  8. Miller D. K., Homan S. M. Graphical aid for determining power of clinical trials involving two groups. BMJ. 1988 Sep 10;297(6649):672–676. doi: 10.1136/bmj.297.6649.672. [DOI] [PMC free article] [PubMed] [Google Scholar]
  9. Rowbotham D. J., Nimmo W. S. Effect of cisapride on morphine-induced delay in gastric emptying. Br J Anaesth. 1987 May;59(5):536–539. doi: 10.1093/bja/59.5.536. [DOI] [PubMed] [Google Scholar]

Articles from BMJ : British Medical Journal are provided here courtesy of BMJ Publishing Group

RESOURCES