On the Comparleon between Linear Modela and Logit Models. The aim of this research note is to provide additional information about the comparison between the linear model and the logit model for a categorical dependent variable presented by Ph. Cibois in the BMS (n. 64, October 1999). Special attention is paid to the conceptual differences between the two models. Some relevant literature about models used with categorical dependent variables is also given.
Agresti, A. ( 1990). Categorical Data Analysis. New York : Wiley.
2.
Bollen, K.A. ( 1989). Structural Equations with Latent Variables. New York: Wiley.
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Cibois, P. ( 1999). Modèle linéaire contre modèle logistique en régression sur données qualitatives". Bulletin de Méthodologie Sociologique, 64: 5-23.
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Davis, J.A. ( 1975). Analysing contingency tables with linear flow graphs: D-systems. In D.R. Heise (Ed.), Sociological Methodology 1976. San Francisco: Jossey Bass, 111-145.
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Grizzle, J.E., C.F. Starmer and G.G. Koch ( 1969). Analysis of categorical data by linear models . Biometrics, 25: 489-504.
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Goodman, L.A. ( 1975). The relationship between modified and usual multiple régression approaches to the analysis of dichotomous variables. In D.R. Heise (Ed.), Sociological Methodology 1976. San Francisco: Jossey Bass, 83-110.
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Gouriéroux, C. ( 1984). Econométrie des Variables qualitatives . Paris: Economica.
Knoke, D. ( 1975). A comparison of loglinear and régression models for systems of dichotomous variables. Sociological Methods and Research, 3: 416-434.
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Kritzer, H.M. ( 1979). Approaches to the analysis of contingency tables: A guide for the perplexed. Sociological Methods and Research , 7: 305-329.
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Kritzer, H.M. ( 1978). Analysing contingency tables by weighted least squares: An alternative to the Goodman approach. Political Methodology , 3: 277-326.
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McCullagh, P. and J.A. Nelder ( 1989). Generalized Linear Models. London : Chapman and Hall.