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
Latent Structure Analysis.
Journal ArticleDOI
Alpha factor analysis.
Henry F. Kaiser,John Caffrey +1 more
TL;DR: A new method of factor analysis based upon the psychometric concept of generalizability is described, which determines factors which have maximumgeneralizability in the Kuder-Richardson, or alpha, sense.
Journal ArticleDOI
VI.—The Estimation of Factor Loadings by the Method of Maximum Likelihood
TL;DR: In this paper, it is assumed that for a given and supposed infinite population of persons all the factors, specific and otherwise, are distributed normally and independently and that they are standardised, i.e. their standard deviations are unity.