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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

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  • P. van der Laan
  • J. Prakken

Abstract

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.

Suggested Citation

  • P. van der Laan & J. Prakken, 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, Netherlands Society for Statistics and Operations Research, vol. 26(3), pages 155-164, September.
    • Handle: RePEc:bla:stanee:v:26:y:1972:i:3:p:155-164
    DOI: 10.1111/j.1467-9574.1972.tb00184.x
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    Cited by:

    1. Hutchinson, T. P., 1996. "On the generalised friedman test," Computational Statistics & Data Analysis, Elsevier, vol. 21(4), pages 473-476, April.

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