The Multivariate Analysis of Qualitative Data: Interactions among Multiple Classifications

作者: Leo A. Goodman

DOI: 10.1080/01621459.1970.10481076

关键词: Table (database)Qualitative propertyContingency tableConditional independenceMultivariate analysisIndependence (probability theory)EconometricsEquiprobabilityMathematicsMultiplicative functionStatistics

摘要: Abstract For the m-way contingency table, we discuss both direct estimation of multiplicative interactions among m variables, and indirect testing hypotheses pertaining to these interactions. We consider, other things, hierarchical including that can be expressed in terms one or more following kinds concepts: (a) usual concepts independence equiprobability; (b) describing conditional properties (e.g., independence) a subset given level some remaining variables; (c) related logit-analysis generalized form logit-analysis; (d) general log-linear model. Methods partitioning are introduced which provide, insight into relationship between tests applied table marginal tables formed ...

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