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The Role of Permutation Groups in Randomization Tests

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  • Eugene S. Edgington

Abstract

Randomization tests are usually represented as strategies for determining significance through the comparison of the value of an obtained test statistic with a distribution of such values associated with every possible random assignment of subjects to treatments. Randomization tests can, however, also be conducted on the basis of a subset of all possible assignments and justified through the concept of a permutation group as defined by Chung and Fraser (1958). This idea is useful in acquiring a deeper understanding of randomization tests and in facilitating the development of new classes of tests.

Suggested Citation

  • Eugene S. Edgington, 1983. "The Role of Permutation Groups in Randomization Tests," Journal of Educational and Behavioral Statistics, , vol. 8(2), pages 121-135, June.
    • Handle: RePEc:sae:jedbes:v:8:y:1983:i:2:p:121-135
    DOI: 10.3102/10769986008002121
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