Statistical tests for homogeneity of variance for clinical trials and recommendations

Yuhang Zhou, Yiyang Zhu, Weng Kee Wong

研究成果: Review article同行評審

3 引文 斯高帕斯(Scopus)


In most clinical trials, the main interest is to test whether there are differences in the mean outcomes among the treatment groups. When the outcome is continuous, a common statistical test is a usual t-test for a two-group comparison. For more than 2 groups, an ANOVA setup is used and the test for equality for all groups is based on the F-distribution. A key assumption for these parametric tests is that data are normally, independently distributed and the response variances are equal. The robustness of these tests to the first two assumptions is quite well investigated, but the issues arising from heteroscedasticity are less studied. This paper reviews different methods for ascertaining homogeneity of variance across groups and investigates the consequences of heteroscedasticity on the tests. Simulations based on normal, heavy-tailed, and skewed normal data demonstrate that some of the less known methods, such as the Jackknife or Cochran's test, are quite effective in detecting differences in the variances.

期刊Contemporary Clinical Trials Communications
出版狀態Published - 2023 6月

All Science Journal Classification (ASJC) codes

  • 藥理


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