First and Second Moments of the Randomization Test in Two-Associate PBIB Designs
作者:
Robert Cléroux,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1969)
卷期:
Volume 64,
issue 328
页码: 1424-1433
ISSN:0162-1459
年代: 1969
DOI:10.1080/01621459.1969.10501067
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
In this paper the first two moments of the Statistic (treatment sum of squares)/(treatment + error sums of squares) over all possible random assignments of treatments to the experimental plots are obtained for two associate PBIB designs. They are compared with the corresponding moments of a central beta distribution to study the extent to which the normal theory test may serve as an approximation to the randomization test. It is found that the approximation is reasonable for some classes of PBIB designs.
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