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Alternative parameterization of polychotomous models: Theory and application to matched case‐ontrol studies
Author(s) -
Becher Heiko
Publication year - 1991
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.4780100309
Subject(s) - logistic regression , class (philosophy) , computer science , transformation (genetics) , binary number , outcome (game theory) , simple (philosophy) , variable (mathematics) , statistics , regression analysis , econometrics , mathematics , artificial intelligence , mathematical analysis , biochemistry , chemistry , philosophy , arithmetic , gene , mathematical economics , epistemology
A method is proposed for transforming a class of models having an outcome variable with more than two levels into an equivalent binary model. The polychotomous logistic model is used to demonstrate the method. The equivalency to a simple logistic regression model after some data transformation (augmentation) is shown. The method is applied to the data from two case‐ontrol studies each with two control groups, and further applications are indicated.