Local homogeneity in latent trait models. A characterization of the homogeneous monotone irt model

Autor:	Jules L. Ellis, Arnold L. van den Wollenberg
Rok vydání:	1993
Předmět:	Monotone polygon Applied Mathematics Homogeneity (statistics) Item response theory Countable set Conditional probability Applied mathematics Local independence Latent variable model Mathematical economics General Psychology Latent class model Mathematics
Zdroj:	Psychometrika. 58:417-429
ISSN:	1860-0980 0033-3123
DOI:	10.1007/bf02294649
Popis:	The stochastic subject formulation of latent trait models contends that, within a given subject, the event of obtaining a certain response pattern may be probabilistic. Ordinary latent trait models do not imply that these within-subject probabilities are identical to the conditional probabilities specified by the model. The latter condition is called local homogeneity. It is shown that local homgeneity is equivalent to subpopulation invariance of the model. In case of the monotone IRT model, local homogeneity implies absence of item bias, absence of item specific traits, and the possibility to join overlapping subtests. The following characterization theorem is proved: the homogeneous monotone IRT model holds for a finite or countable item pool if and only if the pool is experimentally independent and pairwise nonnegative association holds in every positive subpopulation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::751a9f7202082dfd736fc8a4446a7f1a https://doi.org/10.1007/bf02294649 Zobrazit plný text záznamu Full text from SpringerLink