Inference on Collapsibility in Generalized Linear Models

S. Greenland, George Maldonado

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


GREENLAND and MICKEY (1988) derived a closed‐form collapsibility test and confidence interval for IxJxK contingency tables with qualitative factors, and presented a small simulation study of its performance. We show how their method can be extended to regression models linear in the natural parameter of a one‐parameter exponential family, in which the parameter of interest is the difference of “crude” and “adjusted” regression coefficients. A simplification of the method yields a generalization of the test for omitted covariates given by HAUSMAN (1978) for ordinary linear regression. We present an application to a study of coffee use and myocardial infarction, and a simulation study which indicates that the simplified test performs adequately in typical epidemiologic settings.

Original languageEnglish (US)
Pages (from-to)771-782
Number of pages12
JournalBiometrical Journal
Issue number7
StatePublished - 1994


  • Collapsibility
  • Epidemiologic methods
  • Logistic regression
  • Poisson regression
  • Relative risk


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