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Chapman & Hall/CRC Statistics in the Social and Behavioral Sciences

Ordered Regression Models: Parallel, Partial, and Non-Parallel Alternatives

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Estimate and Interpret Results from Ordered Regression Models Ordered Regression Parallel, Partial, and Non-Parallel Alternatives presents regression models for ordinal outcomes, which are variables that have ordered categories but unknown spacing between the categories. The book provides comprehensive coverage of the three major classes of ordered regression models (cumulative, stage, and adjacent) as well as variations based on the application of the parallel regression assumption. The authors first introduce the three "parallel" ordered regression models before covering unconstrained partial, constrained partial, and nonparallel models. They then review existing tests for the parallel regression assumption, propose new variations of several tests, and discuss important practical concerns related to tests of the parallel regression assumption. The book also describes extensions of ordered regression models, including heterogeneous choice models, multilevel ordered models, and the Bayesian approach to ordered regression models. Some chapters include brief examples using Stata and R. This book offers a conceptual framework for understanding ordered regression models based on the probability of interest and the application of the parallel regression assumption. It demonstrates the usefulness of numerous modeling alternatives, showing you how to select the most appropriate model given the type of ordinal outcome and restrictiveness of the parallel assumption for each variable. Web Resource More detailed examples are available on a supplementary website. The site also contains JAGS, R, and Stata codes to estimate the models along with syntax to reproduce the results.

172 pages, Hardcover

First published April 8, 2016

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About the author

Andrew S. Fullerton

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Profile Image for Nelson.
164 reviews14 followers
February 6, 2021
Not perfect, but got the job done.

Funny it had no instructions for calculating McFadden's Pseudo R-squared in the software.

I looked on Stack Overflow and the suggestion and this was the code:

1 - deviance(model)/deviance(data)

But that gave me a negative number. Fortunately, I was able to find other ways to assess the overall accuracy of the model.
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