Mixtures of t factor analysers with censored responses and external covariates: An application to educational data from Peru

Simple item page
dc.contributor.authorWang, Wan-Lun
dc.contributor.authorCastro, Luis M.
dc.contributor.authorLi, Huei-Jyun
dc.contributor.authorLin, Tsung-, I
dc.date.accessioned2025-01-20T17:10:55Z
dc.date.available2025-01-20T17:10:55Z
dc.date.issued2024
dc.description.abstractAnalysing data from educational tests allows governments to make decisions for improving the quality of life of individuals in a society. One of the key responsibilities of statisticians is to develop models that provide decision-makers with pertinent information about the latent process that educational tests seek to represent. Mixtures of t factor analysers (MtFA) have emerged as a powerful device for model-based clustering and classification of high-dimensional data containing one or several groups of observations with fatter tails or anomalous outliers. This paper considers an extension of MtFA for robust clustering of censored data, referred to as the MtFAC model, by incorporating external covariates. The enhanced flexibility of including covariates in MtFAC enables cluster-specific multivariate regression analysis of dependent variables with censored responses arising from upper and/or lower detection limits of experimental equipment. An alternating expectation conditional maximization (AECM) algorithm is developed for maximum likelihood estimation of the proposed model. Two simulation experiments are conducted to examine the effectiveness of the techniques presented. Furthermore, the proposed methodology is applied to Peruvian data from the 2007 Early Grade Reading Assessment, and the results obtained from the analysis provide new insights regarding the reading skills of Peruvian students.
dc.fuente.origenWOS
dc.identifier.doi10.1111/bmsp.12329
dc.identifier.eissn2044-8317
dc.identifier.issn0007-1102
dc.identifier.urihttps://doi.org/10.1111/bmsp.12329
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/91144
dc.identifier.wosidWOS:001124890200001
dc.issue.numero2
dc.language.isoen
dc.pagina.final336
dc.pagina.inicio316
dc.revistaBritish journal of mathematical & statistical psychology
dc.rightsacceso restringido
dc.subjectAECM algorithm
dc.subjectcensored data
dc.subjectfactor analysis
dc.subjectoutliers
dc.subjecttruncated multivariate t distribution
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleMixtures of t factor analysers with censored responses and external covariates: An application to educational data from Peru
dc.typeartículo
dc.volumen77
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
Files
Collections
Artículos de revistas