Premium
Analysis of ordinal data in a study of endometrial cancer under a matched pairs case‐control design
Author(s) -
Ganguly S. S.,
NaikNimbalkar U. V.
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.4780141405
Subject(s) - statistics , odds ratio , logistic regression , logit , mathematics , ordinal data , ordered logit , endometrial cancer , confidence interval , context (archaeology) , medicine , econometrics , cancer , paleontology , biology
While estimating odds ratios (ORs) in the context of dose levels of conjugated oestrogen exposure and development of endometrial cancer, the categories formed by the levels of the exposure are ordinal in nature. In the literature, the binary logistic model is used for estimating OR for each category relative to the baseline category. We describe the use of two ordinal logistic models, the cumulative logit and continuation‐ratio logit models, to estimate the ORs for the matched pairs case‐control data set of the Los Angeles endometrial cancer study. A test for equality of the cumulative ORs across the exposure levels is proposed. The test statistic follows asymptotically the chi‐square distribution.