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Comparing Three Effect Sizes for Latent Class Analysis

Traditional latent class analysis (LCA) considers entropy R2 as the only measure of effect size. However, entropy may not always be reliable, a low boundary is not agreed upon, and good separation is limited to values of greater than .80. As applications of LCA grow in popularity, it is imperative to use additional sources to quantify LCA classification accuracy. Greater classification accuracy helps to ensure that the profile of the latent classes reflect the profile of the true underlying subgroups. This Monte Carlo study compared the quantification of classification accuracy and confidence intervals of three effect sizes, entropy R2, I-index, and Cohen’s d. Study conditions included total sample size, number of dichotomous indicators, latent class membership probabilities (γ), conditional item-response probabilities (ρ), variance ratio, sample size ratio, and distribution types for a 2-class model. Overall, entropy R2 and I-index showed the best accuracy and standard error, along with the smallest confidence interval widths. Results showed that I-index only performed well for a few cases.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc822835
Date12 1900
CreatorsGranado, Elvalicia A.
ContributorsNatesan, Prathiba, Henson, Robin K. (Robin Kyle), Combes, Bertina H., Zhang, Tao
PublisherUniversity of North Texas
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
Formatvi, 52 pages : illustrations (chiefly color), Text
RightsPublic, Granado, Elvalicia A., Copyright, Copyright is held by the author, unless otherwise noted. All rights Reserved.

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