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Download Applied Latent Class Analysis by Jacques A. Hagenaars, Allan L. McCutcheon PDF

By Jacques A. Hagenaars, Allan L. McCutcheon

ISBN-10: 0521594510

ISBN-13: 9780521594516

This examine introduces a number of contemporary options in latent type research to a much wider viewers of researchers. a number of the world's prime innovators within the box of latent category research have contributed essays to the quantity, every one featuring a key innovation to the fundamental LCM and illustrating the way it can turn out valuable in events commonly encountered in real examine.

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Extra resources for Applied Latent Class Analysis

Sample text

V C D obtained under M5 is also 97% less than the corresponding chi-square value obtained under M0 . Figure 2 can be used to describe any of the latent class models (M1 to M5 ) in Tables 5a and 5b, where the latent variable (dichotomous or trichotomous) is represented as variable V for “values” (universalistic values or particularistic values). In this figure, the latent variable V is viewed as an antecedent variable that can explain away the observed relationships among the observed (manifest) variables A, B, C, and D, or that can explain (rather than explain away) these observed relationships among the observed variables.

3. FIRST EXAMPLE: THE ANALYSIS OF THE RELATIONSHIP BETWEEN TWO OBSERVED VARIABLES To begin, let us consider the cross-classified data presented in Table 1. These data on the relationship between parental socioeconomic status and mental health status were analyzed earlier by various researchers using various methods of analysis. , Goodman, 1979a, 1985; Gilula and Haberman, 1986). , Goodman, 1987), but in the present Table 1. Cross-Classification of 1660 Subjects Mental Health Status Parental Socioecon.

Let us consider a three-class latent class model for the 2 × 2 table {A, B}, in which the first two latent classes pertain to two different kinds of infallible predictors, and the third latent class pertains to an ignorant 24 Leo A. Goodman predictor, with AX BX = π11 = 1, π11 (7a) AX BX = π22 = 1. π22 (7b) Peirce’s model can be viewed as a special case of this three-class latent class model in which the following additional constraints are imposed on the parameters in the model: BX = P1B, π13 BX π23 = P2B, (8a) π1X = θ P1B, π2X = θ P2B, (8b) where the value of θ is unknown.

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Applied Latent Class Analysis by Jacques A. Hagenaars, Allan L. McCutcheon

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