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Generalized ordered logit/partial proportional odds models for ordinal dependent variables

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  • Richard Williams

    (Department of Sociology, University of Notre Dame)

Abstract

This article describes the gologit2 program for generalized ordered logit models. gologit2 is inspired by Vincent Fu’s gologit routine (Stata Technical Bulletin Reprints 8: 160–164) and is backward compatible with it but offers several additional powerful options. A major strength of gologit2 is that it can fit three special cases of the generalized model: the proportional odds/parallel-lines model, the partial proportional odds model, and the logistic regression model. Hence, gologit2 can fit models that are less restrictive than the parallel-lines models fitted by ologit (whose assumptions are often violated) but more parsimonious and interpretable than those fitted by a nonordinal method, such as multinomial logistic regression (i.e., mlogit). Other key advantages of gologit2 include support for linear constraints, survey data estimation, and the computation of estimated probabilities via the predict command.

Suggested Citation

  • Richard Williams, 2006. "Generalized ordered logit/partial proportional odds models for ordinal dependent variables," Stata Journal, StataCorp LLC, vol. 6(1), pages 58-82, March.
    • Handle: RePEc:tsj:stataj:v:6:y:2006:i:1:p:58-82
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    References listed on IDEAS

    as
    1. J. Scott Long & Jeremy Freese, 2006. "Regression Models for Categorical Dependent Variables using Stata, 2nd Edition," Stata Press books, StataCorp LLC, edition 2, number long2.
    2. Bercedis Peterson & Frank E. Harrell, 1990. "Partial Proportional Odds Models for Ordinal Response Variables," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 39(2), pages 205-217, June.
    3. Rory Wolfe & William Gould, 1998. "An approximate likelihood-ratio test for ordinal response models," Stata Technical Bulletin, StataCorp LLC, vol. 7(42).
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