Abstract
Discrete rather than continuous variables are the norm in most datasets analyzed in the social and behavioral sciences. Many researchers routinely apply continuous-data models to analyze discrete data, but this practice is valid only in limited ways. Recent developments in statistical theory, computational algorithms, and social science methodology make it possible to analyze discrete data in a valid manner without recourse to models based on continuity (or normality) assumptions. This chapter presents an overview of one approach to the analysis of discrete data, that based on log-linear models. Log-linear models for discrete data are (1) just as flexible as corresponding linear models for continuous data, (2) consistent with distributional assumptions appropriate for discrete variables, and (3) based on measures of relationship (bivariate or multivariate) that are meaningful for discrete variables (odds, odds ratios, and their logarithms).
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Clogg, C.C., Shockey, J.W. (1988). Multivariate Analysis of Discrete Data. In: Nesselroade, J.R., Cattell, R.B. (eds) Handbook of Multivariate Experimental Psychology. Perspectives on Individual Differences. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0893-5_10
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DOI: https://doi.org/10.1007/978-1-4613-0893-5_10
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