On estimation of parameters in latent structure analysis
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The latent structure model considered here postulates that a population of individuals can be divided intom classes such that each class is “homogeneous” in the sense that for the individuals in the class the responses toN dichotomous items or questions are statistically independent. A method is given for deducing the proportions of the population in each latent class and the probabilities of positive responses to each item for individuals in each class from knowledge of the probabilities of positive responses for individuals from the population as a whole. For estimation of the latent parameters on the basis of a sample, it is proposed that the same method of analysis be applied to the observed data. The method has the advantages of avoiding implicitly defined and unobservable quantities, and of using relatively simple computational procedures of conventional matrix algebra, but it has the disadvantages of using only a part of the available information and of using that part asymmetrically.
[1] F. Ramsey. A Contribution to the Theory of Taxation , 1927 .
[2] S. Stouffer,et al. Measurement and Prediction , 1954 .
[3] B. Green,et al. A general solution for the latent class model of latent structure analysis. , 1951, Psychometrika.
[4] W. Gibson. An extension of Anderson's solution for the latent structure equations , 1955 .