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Latent Class Analysis With Sampling Weights

Author

Listed:
  • Jeroen K. Vermunt

    (Tilburg University, Netherlands, J.K.Vermunt@uvt.nl)

  • Jay Magidson

    (Statistical Innovations, Inc., Boston, MA)

Abstract

The authors illustrate how to perform maximum-likelihood estimation in latent class (LC) analysis when there are sampling weights. The methods are natural extensions of the approaches proposed by Clogg and Eliason (1987) and Magidson (1987) for dealing with sampling weights in the log-linear analysis of frequency tables. For the log-linear form of the LC model, the approach corresponds to a special case of Haberman's (1979) log-linear LC model with cell weights. This approach can also be applied to the probability formulation of the LC model with cell weights, which can accommodate many indicators. The authors propose an efficient estimation-maximization algorithm for estimating the parameters for this formulation. A small simulation study shows that the probability estimates obtained by this approach compare favorably to other weighting approaches. Several empirical examples are provided to illustrate various possible weighting methods in LC analysis.

Suggested Citation

  • Jeroen K. Vermunt & Jay Magidson, 2007. "Latent Class Analysis With Sampling Weights," Sociological Methods & Research, , vol. 36(1), pages 87-111, August.
    • Handle: RePEc:sae:somere:v:36:y:2007:i:1:p:87-111
    DOI: 10.1177/0049124107301965
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    References listed on IDEAS

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    1. Patterson B.H. & Dayton C.M. & Graubard B.I., 2002. "Latent Class Analysis of Complex Sample Survey Data: Application to Dietary Data," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 721-741, September.
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    Cited by:

    1. Skinner, Chris J. & Vallet, L.-A., 2010. "Fitting log-linear models to contingency tables from surveys with complex sampling designs: an investigation of the Clogg-Eliason approach," LSE Research Online Documents on Economics 39118, London School of Economics and Political Science, LSE Library.
    2. Alemi, Farzad & Circella, Giovanni & Mokhtarian, Patricia & Handy, Susan, 2018. "Exploring the latent constructs behind the use of ridehailing in California," Journal of choice modelling, Elsevier, vol. 29(C), pages 47-62.
    3. Gioacchino Fazio & Francesca Giambona & Erasmo Vassallo & Elli Vassiliadis, 2018. "A Measure of Trust: The Italian Regional Divide in a Latent Class Approach," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 140(1), pages 209-242, November.

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