A Misspecification Test for Finite-Mixture Logistic Models for Clustered Binary and Ordered Responses

Francesco Bartolucci, Silvia Bacci () and Claudia Pigini

No 410, Working Papers from Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali

Abstract: An alternative to using normally distributed random effects in modeling clustered binary and ordered responses is based on using a nite-mixture. This approach gives rise to a exible class of generalized linear mixed models for item responses, multilevel data, and longitudinal data. A test of misspeci cation for these finite-mixture models is proposed which is based on the comparison between the Marginal and the Conditional Maximum Likelihood estimates of the fixed effects as in the Hausman's test. The asymptotic distribution of the test statistic is derived; it is of chi-squared type with a number of degrees of freedom equal to the number of covariates that vary within the cluster. It turns out that the test is simple to perform and may also be used to select the number of components of the finite-mixture, when this number is unknown. The approach is illustrated by a series of simulations and three empirical examples covering the main fields of application.

Keywords: Generalized Linear Mixed Models; Hausman Test; Item Response Theory; Latent Class model; Longitudinal data; Multilevel data (search for similar items in EconPapers)
JEL-codes: C12 C23 C52 (search for similar items in EconPapers)
Pages: 46
Date: 2015-07
New Economics Papers: this item is included in nep-dcm
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Citations: View citations in EconPapers (1)

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Working Paper: A misspecification test for finite-mixture logistic models for clustered binary and ordered responses (2015)
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