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Restricted partitions and matrix counts for Cochran's test
Author:
Jerome H. Klotz a
| Affiliation: | a Department of Statistics, University of Wisconsin, Madison, WI, USA |
DOI:
10.1080/10485250500319367
Publication Frequency:
8 issues per year
Published in:
Journal of Nonparametric Statistics,
Volume
17,
Issue
7
October
2005
, pages 867
- 872
Journal of Nonparametric Statistics,
Volume
17,
Issue
7
October
2005
, pages 867
- 872
Subjects:
Mathematical Economics;
Mathematical Finance;
Medical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
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Abstract
We obtain exact P-values for Cochran's test comparing K different treatments using independent blocks with dichotomous responses. An algorithm is developed using restricted partitions and counts of matrices with elements 0 or 1 that have specified row and column margin sums. A linked list structure facilitates this matrix count.
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| Keywords: Cochran's Test; P-value; Restricted partitions; Count of 0 or 1 at element matrices with fixed margins |
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