Journal ArticleDOI
A probabilistic formulation and statistical analysis of guttman scaling
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In this paper, the latent or true nature of subjects is identified with a limited number of response patterns (the Guttman scale patterns), and the probability of an observed response pattern can be written as the sum of products of the true type multiplied by the chance of sufficient response error to cause the observed pattern to appear.Abstract:
By proposing that the latent or true nature of subjects is identified with a limited number of response patterns (the Guttman scale patterns), the probability of an observed response pattern can be written as the sum of products of the probability of the true type multiplied by the chance of sufficient response error to cause the observed pattern to appear. This model contains the proportions of the true types as parameters plus some misclassification probabilities as parameters. Maximum likelihood methods are used to make estimates and test the fit for some examples.read more
Citations
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Journal ArticleDOI
Concomitant-Variable Latent-Class Models
TL;DR: In this article, the probability of latent class membership is functionally related to concomitant variables with known distribution, and a general procedure for imposing linear constraints on the parameter estimates is introduced.
Book ChapterDOI
Latent Class Models
TL;DR: A statistical model can be called a latent class (LC) or mixture model if it assumes that some of its parameters differ across unobserved subgroups, LCs, or mixture components as mentioned in this paper.
Journal ArticleDOI
Latent Variable Regression for Multiple Discrete Outcomes
TL;DR: The concomitant latent class model for analyzing multivariate categorical outcome data is studied, and practical theory for reducing and identifying such models is developed.
'EM: A general program for the analysis of categorical data 1
TL;DR: 1.1 When you report results obtained with EM, you should refer to this manual as " Vermunt, J.K.
References
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Journal ArticleDOI
A longitudinal study of the Primary Mental Abilities Test.
William J. Meyer,Bendig Aw +1 more
Journal ArticleDOI
Simple statistical methods for scalogram analysis
TL;DR: Simple statistical methods are developed to test whether coefficients of reproducibility, of homogeneity, or of consistency differ significantly from what can be expected if responses to different items are statistically independent.