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Multidimensional latent Markov models in a developmental study of inhibitory control and attentional flexibility in early childhood

Bartolucci, Francesco and Solis-Trapala, Ivonne L. (2010) Multidimensional latent Markov models in a developmental study of inhibitory control and attentional flexibility in early childhood. Psychometrika, 75 (4). pp. 725-743. ISSN 0033-3123

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Abstract

We demonstrate the use of a multidimensional extension of the latent Markov model to analyse data from studies with repeated binary responses in developmental psychology. In particular, we consider an experiment based on a battery of tests which was administered to pre-school children, at three time periods, in order to measure their inhibitory control (IC) and attentional flexibility (AF) abilities. Our model represents these abilities by two latent traits which are associated to each state of a latent Markov chain. The conditional distribution of the test outcomes given the latent process depends on these abilities through a multidimensional one-parameter or two-parameter logistic parameterisation. We outline an EM algorithm for likelihood inference on the model parameters; we also focus on likelihood ratio testing of hypotheses on the dimensionality of the model and on the transition matrices of the latent process. Through the approach based on the proposed model, we find evidence that supports that IC and AF can be conceptualised as distinct constructs. Furthermore, we outline developmental aspects of participants’ performance on these abilities based on inspection of the estimated transition matrices.

Item Type: Article
Journal or Publication Title: Psychometrika
Uncontrolled Keywords: dimensionality assessment - executive function - item response theory - latent Markov model - Rasch model - two-parameter logistic parameterisation
Subjects: R Medicine > R Medicine (General)
Departments: Faculty of Health and Medicine > Medicine
ID Code: 34200
Deposited By: Dr Ivonne Solis-Trapala
Deposited On: 14 Sep 2010 14:03
Refereed?: Yes
Published?: Published
Last Modified: 26 Jul 2012 17:34
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/34200

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