首页   按字顺浏览 期刊浏览 卷期浏览 The Analysis of Multidimensional Contingency Tables
The Analysis of Multidimensional Contingency Tables

 

作者: Stephen E. Fienberg,  

 

期刊: Ecology  (WILEY Available online 1970)
卷期: Volume 51, issue 3  

页码: 419-433

 

ISSN:0012-9658

 

年代: 1970

 

DOI:10.2307/1935377

 

出版商: Ecological Society of America

 

数据来源: WILEY

 

摘要:

Ecological data often come in the form of multidimensional tables of counts, referred to as contingency tables. During the last decade several new methods of analyzing such tables have been proposed. Here, a class of models analogous to those used in the analysis of variance is discussed, and a method for computing the expected cell counts for the different models is presented. Two differenet tests for checking the goodness—of—fit of a particular model are then examined. The first is the simple generalization of the Pearson chi—square test statistic, while the second is referred to as the likelihood—ratio chi—square test statistic. Both have the same asympototic g2distribution. The likelihood—ratio statistic can be used in the selection of a suitable model, via the technique of partitioning. All of the methods presented are illustrated using data collected by Schoener on lizards from the West Indies.

 

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