Anatomy of Pearson’s Chi-Square Statistic in Three-Way Contingency Tables

2013 ◽  
pp. 41-57 ◽  
Author(s):  
Yoshio Takane ◽  
Lixing Zhou
Keyword(s):  
Contingency Tables ◽  
Chi Square

The Power of Chi Square Tests for Contingency Tables

1966 ◽  
Vol 61 (316) ◽  
pp. 965-975 ◽  
Author(s):  
Rosa C. Meng ◽  
Douglas G. Chapman
Keyword(s):  
Contingency Tables ◽  
Chi Square ◽  
Chi Square Tests

Partitioning chi-square the analysis of contingency tables with repeated measurements

1976 ◽  
Vol 2 (2) ◽  
pp. 105-118 ◽  
Author(s):  
Silas Halperin ◽  
Milton F. Nehrke ◽  
Irene M. Hulicka ◽  
John B. Morganti
Keyword(s):  
Contingency Tables ◽  
Repeated Measurements ◽  
Chi Square

Analysis of Contingency Tables with Sparse Values

1979 ◽  
Vol 16 (3) ◽  
pp. 382-386 ◽  
Author(s):  
William S. Shields ◽  
Roger M. Heeler
Keyword(s):  
Contingency Tables ◽  
Fisher Exact Test ◽  
Financial Cost ◽  
Chi Square ◽  
Exact Test ◽  
Loss Of Information ◽  
Cell Counts ◽  
Chi Square Analysis ◽  
The Cost

In the chi square analysis of cross-tabulated variables, the problem of low cell counts is usually solved by combining categories, at the cost of a loss of information, or by using larger samples, at added financial cost. Use of a chi square statistic based on an extension of the Fisher Exact Test can provide a third, less costly, alternative.

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