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Log Linear Models for Contingency Tables: A Generalization of Classical Least Squares

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  • J. A. Nelder

Abstract

Log linear models for contingency tables of counts are formulated as a special case of generalized linear models with an additive systematic component Y, Poisson errors for the data and an exponential linking function connecting the expected values of the observations with the predicted Y. Dichotomous response variates can be treated by an extension of this model or equivalently as another generalized linear model with binomial errors. A program package is described for fitting these models, and some redundancies in the literature noted.

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  • J. A. Nelder, 1974. "Log Linear Models for Contingency Tables: A Generalization of Classical Least Squares," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 23(3), pages 323-329, November.
    • Handle: RePEc:bla:jorssc:v:23:y:1974:i:3:p:323-329
    DOI: 10.2307/2347125
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    Cited by:

    1. A Pickles, 1980. "Models of Movement: A Review of Alternative Methods," Environment and Planning A, , vol. 12(12), pages 1383-1404, December.
    2. J. Scott Long, 1984. "Estimable Functions in Log-Linear Models," Sociological Methods & Research, , vol. 12(4), pages 399-432, May.
    3. Wolfgang Wiedermann & Alexander Eye, 2020. "Log-linear models to evaluate direction of effect in binary variables," Statistical Papers, Springer, vol. 61(1), pages 317-346, February.
    4. Fischer, M.M. & Nijkamp, P., 1985. "Explanatory discrete spatial data and choice analysis : a state-of-the-art review," Serie Research Memoranda 0006, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    5. Keith Hope, 1983. "On Defining Normative Consistency," Sociological Methods & Research, , vol. 12(1), pages 95-111, August.

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