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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
Article first published online: 29 APR 2008
DOI: 10.1111/j.1467-9574.1972.tb00184.x
1467-9574/asset/cover.gif?v=1&s=ae2c9701ea842e92ca01acc55b042e3287b5b255 "Statistica Neerlandica")
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How to Cite
Laan, P. v. d. and Prakken, J. (1972), Exact distribution of Durbin's distribution-free test statistic for Balanced Incomplete Block Designs, and comparison with the Chi-square and F approximation. Statistica Neerlandica, 26: 155–164. doi: 10.1111/j.1467-9574.1972.tb00184.x
Publication History
- Issue published online: 29 APR 2008
- Article first published online: 29 APR 2008
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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.