A generalized ordered Probit model

Carla Johnston, James McDonald and Kramer Quist

Communications in Statistics - Theory and Methods, 2020, vol. 49, issue 7, 1712-1729

Abstract: The ordered probit and logit models, based on the normal and logistic distributions, can yield biased and inconsistent estimators when the distributions are misspecified. A generalized ordered response model is introduced which can reduce the impact of distributional misspecification. An empirical exploration of various determinants of life satisfaction suggests possible benefits of allowing for diverse distributional characteristics. These improvements are confirmed using a Monte Carlo study to contrast the performance of the flexible parametric specifications to the probit and logit specifications.

Date: 2020
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DOI: 10.1080/03610926.2019.1565780

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