Interpretation of the odds ratio from logistic regression after a transformation of the covariate vector.
Logistic regression assumes a linear relationship between the logit and the continuous covariate. When the relationship is not linear, one can employ transformations of the covariate to satisfy the linearity assumption. We present an approach that allows interpretation of the odds ratio as it relates to the continuous covariate in its original metric. A numerical example illustrates the results.
Elswick
R K
RK
Department of Biostatistics, Medical College of Virginia at Virginia Commonwealth University, Richmond 23298-0032, USA.
Schwartz
P F
PF
Welsh
J A
JA
D000437:Alcoholism / Q000175:diagnosis; D003627:Data Interpretation, Statistical; D006801:Humans; D016014:Linear Models; D016015:Logistic Models; D016017:Odds Ratio; D011237:Predictive Value of Tests; D012372:ROC Curve; D011795:Surveys and Questionnaires