A st ruct ural equat ion model is proposed t o deal wit h dichot omously-scored it ems in t he presence of missing not at random responses. Two types of latent variables are introduced: one refers to the abilities measured by the questionnaire and the other describes the propensity to answer. A semi- parametric approach is adopted, where both types of latent variable are discretely distributed. In such a way, the proposed structural equation model reduces to a multidimensional latent class item response t heory model. Individual covariat es may also be included in order t o explain t he probabilit ies of belonging to each latent class. For this aim, a multinomial logistic parametrization is introduced. A simulation study is then performed to evaluate the finite-sample properties of the parameter estimates.

A multidimensional finite mixture SEM for non-ignorable missing responses to test items / Silvia Bacci, Francesco Bartolucci. - ELETTRONICO. - (2014), pp. 0-0. (Intervento presentato al convegno SIS 2014 tenutosi a Cagliari nel 11-13 giugno 2014).

A multidimensional finite mixture SEM for non-ignorable missing responses to test items

Silvia Bacci;
2014

Abstract

A st ruct ural equat ion model is proposed t o deal wit h dichot omously-scored it ems in t he presence of missing not at random responses. Two types of latent variables are introduced: one refers to the abilities measured by the questionnaire and the other describes the propensity to answer. A semi- parametric approach is adopted, where both types of latent variable are discretely distributed. In such a way, the proposed structural equation model reduces to a multidimensional latent class item response t heory model. Individual covariat es may also be included in order t o explain t he probabilit ies of belonging to each latent class. For this aim, a multinomial logistic parametrization is introduced. A simulation study is then performed to evaluate the finite-sample properties of the parameter estimates.
2014
Proceedings of 47th Scientific Meeting of the Italian Statistical Society
SIS 2014
Cagliari
11-13 giugno 2014
Silvia Bacci, Francesco Bartolucci
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1151273
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