Restricted partitions and matrix counts for Cochran's test

Author: Klotz, Jerome

Source: Journal of Nonparametric Statistics, Volume 17, Number 7, Number 7/October 2005 , pp. 867-872(6)

Publisher: Taylor and Francis Ltd

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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.

Keywords: Cochran's Test; P -value; Restricted partitions; Count of 0 or 1 at element matrices with fixed mar

Document Type: Research article

DOI: http://dx.doi.org/10.1080/10485250500319367

Affiliations: 1: Department of Statistics, University of Wisconsin, Madison, WI, 537706-1685, USA

Publication date: 2005-10-01

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