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Goodman Association Model×Log-Linear Mobility Model×
분야SociologySociology
계열Regression modelRegression model
기원 연도19791970s
창시자Leo A. GoodmanLeo Goodman; Robert Hauser
유형Log-multiplicative model for association in ordered contingency tablesLog-linear / Poisson model for cell counts in mobility tables
원전Goodman, L. A. (1979). Simple models for the analysis of association in cross-classifications having ordered categories. Journal of the American Statistical Association, 74(367), 537–552. DOI ↗Hauser, R. M. (1978). A structural model of the mobility table. Social Forces, 56(3), 919–953. DOI ↗
별칭RC association model, row-column association model, log-multiplicative model, RC(M) modellog-linear model for mobility, topological mobility model, quasi-independence model, levels model
관련55
요약Goodman's association models, especially the row-column (RC) model, analyze the association in a two-way contingency table by representing it as a product of estimated scores for the row categories and scores for the column categories, scaled by an intrinsic association parameter. Introduced by Leo Goodman in 1979, they are log-multiplicative rather than purely log-linear, allowing ordered categories to be assigned data-driven scores and the strength of association to be summarized in a single, interpretable coefficient.Log-linear mobility models analyze an origin-by-destination mobility table by modeling the logarithm of its expected cell counts as a sum of terms: separate effects for the origin and destination marginals plus interaction terms that capture the origin–destination association. By specifying that association parametrically — through diagonal, level, or scaled terms — these models test precise hypotheses about the structure of social fluidity independent of the changing sizes of classes.
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