统计The Analysis of Multidimensional Contingency Tables: Stepwise Procedures and Direct EstimationMethods for Building Models for Multiple Classifications

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The Analysis of Multidimensional Contingency Tables: Stepwise Procedures and Direct EstimationMethods for Building Models for Multiple Classifications

文献名称	The Analysis of Multidimensional Contingency Tables: Stepwise Procedures and Direct EstimationMethods for Building Models for Multiple Classifications
文献作者	Leo A. Goodman
作者所在单位	Departments of Statistics and Sociology, University of Chicago
文献分类	已发表文献
学科一级分类	统计
学科二级分类	统计学
文献摘要	For the m-way contingency table, we consider models that describe the possible multiplicative interactions among the m variables of the table, and we show how to select models that fit the data in the table, using methods that are, in part, somewhat analogous to the usual stepwise procedures in regression analysis. (The m variables here are dichotomous or, more generally, polytomous variables.) These methods can be applied to build models for any of the following situations: (a) the m variables are response variables and the mutual relationships among the variables are of interest; (b) one of the variables is a response variable and the other m - 1 variables are factors that may affect the response; (c) m' of the variables are response variables (1 < m' < m) and the other m-m' variables are factors that may affect the m' variables and the mutual relationships among the m' variables. For illustrative purposes, we analyze a 4-way table (actually, a 3 X 23 table), considering both linear and quadratic interaction effects.
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关键字	Multidimensional Contingency Tables ;Stepwise Procedures ; Direct EstimationMethods ; Building Models ; Multiple Classifications
发表所在刊物（或来源）	Technometrics, Vol. 13, No. 1 (Feb., 1971), pp. 33-61
发表时间	Feb., 1971
适用研究领域	统计学
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