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Exact distribution of Durbin's distribution‐free test statistic for Balanced Incomplete Block Designs, and comparison with the Chi‐square and F approximation
Author(s) -
Laan P. van der,
Prakken J.
Publication year - 1972
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1972.tb00184.x
Subject(s) - mathematics , chi square test , test statistic , statistics , statistic , f test , exact test , null distribution , square (algebra) , null hypothesis , pearson's chi squared test , rank (graph theory) , distribution (mathematics) , block (permutation group theory) , block design , combinatorics , statistical hypothesis testing , mathematical analysis , geometry
Summary Durbin's distribution‐free rank test can be used to test the null hypothesis that there are no differences among the treatments in a Balanced Incomplete Block Design. Until now only the chi‐square and F approximations for the test statistic were known. In this paper the exact distribution has been given for 15 designs and comparison is made with the chi‐square and F approximation.