# Latent Class Analysis (Quantitative Applications in the by Allan L. McCutcheon

By Allan L. McCutcheon

Latent classification research is a strong instrument for studying the constitution of relationships between categorically scored variables. It permits researchers to discover the suitability of mixing or extra specific variables into typologies or scales. It additionally presents a style for trying out hypotheses in regards to the latent constitution between specific variables.

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Extra resources for Latent Class Analysis (Quantitative Applications in the Social Sciences, 64)

Example text

Thus, the estimated probability is calculated as the probability that respondents within level 1 of variable C (the nonbarred variable) choose response 1 for variable A (the barred variable). 300 (= 45/150). Thus the probability that any given anomic respondent answers affirmatively to both questions is equal to the product of their estimated (conditional) probability of responding affirmatively to variable A and their estimated (conditional) probability of responding affirmatively to variable B .

5/35 subject : Latent structure analysis, Latent variables. Latent Class Analysis SAGE UNIVERSITY PAPERS Series: Quantitative Applications in the Social Sciences Series Editor: Michael S. Lewis-Beck, University of Iowa Editorial Consultants Richard A. Berk, Sociology, University of California, Los Angeles William D. Berry, Political Science, Florida State University Kenneth A. Bollen, Sociology, University of North Carolina, Chapel Hill Linda B. Bourque, Public Health, University of California, Los Angeles Jacques A.

Page 21 The conditional probabilities enable us to characterize the nature of the types defined by each of the latent classes and hence the nature of the latent variable. Within each of the latent classes, the conditional probabilities indicate whether observations in class t are likely or unlikely to have characteristics of each of the observed variables. Thus, if we were investigating anomie and estimated that in one class 90% of the members reported feeling that the lot of the average man is getting worse and that 80% reported not knowing who to count on, while in the other class we estimated the respective percents to be 30% and 25%, we might be inclined to typify the first latent class as anomic and the second latent class as nonanomic.