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Fitting log-linear models to contingency tables from surveys with complex sampling designs: an investigation of the Clogg-Eliason approach

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  • Skinner, Chris J.
  • Vallet, L.-A.

Abstract

Clogg and Eliason (1987) proposed a simple method for taking account of survey weights when fitting log-linear models to contingency tables. This article investigates the properties of this method. A rationale is provided for the method when the weights are constant within the cells of the table. For more general cases, however, it is shown that the standard errors produced by the method are invalid, contrary to claims in the literature. The method is compared to the pseudo maximum likelihood method both theoretically and through an empirical study of social mobility relating daughter’s class to father’s class using survey data from France. The method of Clogg and Eliason is found to underestimate standard errors systematically. The article concludes by recommending against the use of this method, despite its simplicity. The limitations of the method may be overcome by using the pseudo maximum likelihood method.

Suggested Citation

  • 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.
    • Handle: RePEc:ehl:lserod:39118
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    References listed on IDEAS

    as
    1. Jeroen K. Vermunt & Jay Magidson, 2007. "Latent Class Analysis With Sampling Weights," Sociological Methods & Research, , vol. 36(1), pages 87-111, August.
    2. 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.
    3. Lumley, Thomas, 2004. "Analysis of Complex Survey Samples," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 9(i08).
    4. Clifford C. Clogg & Scott R. Eliason, 1987. "Some Common Problems in Log-Linear Analysis," Sociological Methods & Research, , vol. 16(1), pages 8-44, August.
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    Cited by:

    1. Milan Bouchet-Valat, 2022. "General Marginal-free Association Indices for Contingency Tables: From the Altham Index to the Intrinsic Association Coefficient," Sociological Methods & Research, , vol. 51(1), pages 203-236, February.
    2. Skinner, Chris J., 2018. "Analysis of categorical data for complex surveys," LSE Research Online Documents on Economics 89707, London School of Economics and Political Science, LSE Library.

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    More about this item

    Keywords

    complex sampling; jackknife; log linear model; pseudo maximum likelihood; stratification; survey weight;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

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