Comparison of Partially Measured Latent Traits across Nominal Subgroups
作者:
JonD. Cohen,
Tao Jiang,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1999)
卷期:
Volume 94,
issue 448
页码: 1035-1044
ISSN:0162-1459
年代: 1999
DOI:10.1080/01621459.1999.10473856
出版商: Taylor & Francis Group
关键词: Latent structure;Latent variables;Marginal maximum likelihood.
数据来源: Taylor
摘要:
This article presents a method for estimating the subgroup distributions of a latent trait measured as a normal variate in the population. This problem occurs in large-scale assessments, such as the National Assessment of Educational Progress, the National Adult Literacy Survey, and other programs where proficiencies are estimated via marginal maximum likelihood through a model based on item-response theory. Heretofore, estimates of subgroup means were often estimated using ad hoc assumptions about within-group distributions, which conflicted with concurrent assumptions about normality of the population distributions. The method presented here removes the conflict, using consistent distributional assumptions for population and subgroup estimates.
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