We consider the effects of misspecifying the covariate vector on tests of association between a particular covariate and the response variable in logistic regression models. Misspecification can include random measurement error, discretizing a continuous explanatory variable and mismodeling the functional form of an explanatory variable. The effects of misspecification are examined by deriving the asymptotic distribution of the test statistic under a sequence of models. Applications of this result are discussed.
"Effects of Mismodeling on Tests of Association Based on Logistic Regression Models." Ann. Statist. 20 (4) 1929 - 1952, December, 1992. https://doi.org/10.1214/aos/1176348896