Effect of bivariate regression toward the mean in uncontrolled clinical trials

Aditi Shahane, William D. Johnson, Varghese George

Research output: Contribution to journalArticlepeer-review


Estimating treatment effects in the presence of regression toward the mean is a problem arising in truncated distributions and is being recognized with increasing interest in recent literature. Any extraneous source of variability such as within-subject variability and measurement errors can contribute to the magnitude of regression toward the mean. In investigations where subjects are selected for study based on preliminary measurements on two characteristics of interest, truncation and regression toward the mean may occur on both variates. The effects of regression toward the mean depend on the process used to select subjects for study which in turn determines how the underlying distribution is truncated. In this paper we consider the expected regression toward the mean under different selection processes based on a bivariate normal random variable.

Original languageEnglish (US)
Pages (from-to)2165-2181
Number of pages17
JournalCommunications in Statistics - Theory and Methods
Issue number8
StatePublished - Jan 1 1995
Externally publishedYes


  • bivariate screening
  • measurement error
  • regression effect
  • subject effect
  • truncated distributions

ASJC Scopus subject areas

  • Statistics and Probability


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