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Simultaneous Test Procedures for Multiple Comparisons on Categorical Data

 

作者: K.R. Gabriel,  

 

期刊: Journal of the American Statistical Association  (Taylor Available online 1966)
卷期: Volume 61, issue 316  

页码: 1081-1096

 

ISSN:0162-1459

 

年代: 1966

 

DOI:10.1080/01621459.1966.10482197

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

Comparisons of several populations with regard to their distributions on a qualitative attribute must often be based on sample data. An overall large sample test of homogeneity of all the populations is extended to provide multiple comparison tests on homogeneity of subsets of populations, and tests of partial homogeneity, i.e., homogeneity only on certain categories of the qualitative distributions. Grouping of populations into several homogeneous subsets can also be achieved by this procedure, and so can a similar grouping of categories. Probabilities of errors on various hypotheses and partial hypotheses are defined and computed. An alternative procedure is proposed which has some advantages.

 

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