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Logistic regression in case‐control studies: The effect of using independent as dependent variables
Author(s) -
Nagelkerke Nico J. D.,
Moses Stephen,
Plummer Francis A.,
Brunham Robert C.,
Fish David
Publication year - 1995
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.4780140806
Subject(s) - logistic regression , statistics , regression analysis , control variable , econometrics , sample (material) , regression , mathematics , sample size determination , variables , control (management) , computer science , artificial intelligence , chemistry , chromatography
In case‐control studies, cases are sampled separately from controls. In such studies the primary analysis concerns the estimation of the effect of covariables on being a case or a control. To explore causal pathways, further secondary analysis could concern the relationships among the covariables. In this paper the validity of such secondary analysis is addressed. In particular, the use of multiple logistic regression in case‐control studies where the dependent variable is not the case/control indicator is explored. It is shown that only under very restrictive conditions will sample regression coefficients correctly estimate their true value. In many situations, it may be valid to regress one covariable on others in the control group, but not in the case group or the combined sample. This principle is illustrated by a study of sexually transmitted disease in Kenya.