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Volume 358:2076-2077 May 8, 2008 Number 19
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More on Subgroup Analyses in Clinical Trials

 

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To the Editor: With regard to the article by Wang et al. (Nov. 22 issue), it is increasingly recognized that subgroup analyses in clinical trials are sometimes misused and require appropriate presentation and cautious interpretation.1,2 However, we would recommend that one type of subgroup analysis (in large "positive" trials or meta-analyses) be performed more often. That is, from a prognostic model, one categorizes patients into several ordered risk groups and estimates the absolute risk reduction in each group. For instance, the Third Randomized Intervention Treatment of Angina (RITA-3) trial,3 involving patients with acute coronary syndromes, showed an overall reduction in the risk of myocardial infarction or death associated with an invasive strategy as compared with conservative management. Such a risk-stratified subgroup analysis then usefully clarified that this benefit was mainly in patients at high risk for myocardial infarction or death.

In general, such an approach can be an important aid for clinical practice, so that for any specific patient, one can judge the absolute benefit of a new treatment (set against the absolute risk of side effects, as well as costs if relevant) and decide whether the treatment is warranted for that patient. This approach is also applicable when, with regard to relative risk, there is no evidence of subgroup interactions with treatment. The question of whether prasugrel is preferable to clopidogrel in acute coronary syndromes4 is an interesting example; it may be that the absolute benefit of the reduced risk of ischemic events outweighs the increased risk of bleeding only for high-risk patients.

Similarly, if the absolute risk of myocardial infarction due to rofecoxib (Vioxx) had been properly quantified in appropriate risk-stratified subgroup analyses, the benefits of pain relief and reduced gastrointestinal bleeding might have been more clearly seen to outweigh the low absolute risk of myocardial infarction in a substantial proportion of patients, thus permitting the continued prescription of rofecoxib with appropriately restrictive labeling.


Stuart J. Pocock, Ph.D.
London School of Hygiene and Tropical Medicine
London WC1E 7HT, United Kingdom
stuart.pocock{at}lshtm.ac.uk


Jacobus Lubsen, Ph.D.
SOCAR Research SA
CH-1260 Nyon, Switzerland

Dr. Pocock reports serving on paid advisory boards for Eli Lilly and Merck. No other potential conflict of interest relevant to this letter was reported.

References

  1. Wang R, Lagakos SW, Ware JH, Hunter DJ, Drazen JM. Statistics in medicine -- reporting of subgroup analyses in clinical trials. N Engl J Med 2007;357:2189-2194. [Free Full Text]
  2. Assmann SF, Pocock SJ, Enos LE, Kasten LE. Subgroup analyses and other (mis)uses of baseline data in clinical trials. Lancet 2000;355:1064-1069. [CrossRef][ISI][Medline]
  3. Fox KAA, Poole-Wilson P, Clayton TC, et al. 5-Year outcome of an interventional strategy in non-ST-elevation acute coronary syndrome: the British Heart Foundation RITA 3 randomised trial. Lancet 2005;366:914-920. [CrossRef][ISI][Medline]
  4. Wiviott SD, Braunwald E, McCabe CH, et al. Prasugrel versus clopidogrel in patients with acute coronary syndromes. N Engl J Med 2007;357:2001-2015. [Free Full Text]

 
The authors reply: We agree with Pocock and Lubsen about the value of subgroup analyses in examining whether the absolute risk reduction varies across a baseline risk categorization. However, obtaining and applying such information in practice pose challenges. Whenever possible, the algorithm for forming risk categories should be determined from external data.1 When a multivariate regression model is used to form risk categories that are based on the same data used to evaluate the new treatment, it is preferable to build the model only with the use of data from the subjects in the control group. Risk categories suggested by observed treatment-group differences are prone to bias and should be avoided.

It is also important to consider the robustness of the conclusions of such analyses with regard to different choices of risk categories. For example, patients in the RITA-3 trial were initially classified into four categories (1, 2, 3, and 4) and then further classified into five categories by splitting category 4 into two groups (4a and 4b).2 The five-category classification suggests relatively small absolute treatment differences in all groups except 4b (19%), whereas the four-level categorization suggests a large effect only in category 4 (13%), which might lead to a different treatment strategy for patients in category 4a. Furthermore, the uncertainty in the estimated risk reduction within each risk group needs to be considered. For example, in the RITA-3 trial, the estimated risk reduction for category 4a is 4.1%, but the corresponding 95% confidence interval ranges from a 16.7% reduction to an 8.5% increase. Finally, within-level comparisons should be preceded by evidence of the heterogeneity of treatment effect based on an interaction test oriented to differences in absolute risk.


Rui Wang, M.S.
Stephen W. Lagakos, Ph.D.
Harvard University
Boston, MA 02115

References

  1. Rothwell PM, Mehta Z, Howard SC, Gutnikov SA, Warlow CP. Treating individuals 3: from subgroups to individuals: general principles and the example of carotid endarterectomy. Lancet 2005;365:256-265. [ISI][Medline]
  2. Fox KAA, Poole-Wilson P, Clayton TC, et al. 5-Year outcome of an interventional strategy in non-ST-elevation acute coronary syndrome: the British Heart Foundation RITA 3 randomised trial. Lancet 2005;366:914-920. [CrossRef][ISI][Medline]

 

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