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Goodman and Kruskal's TAU-B Statistic

Author

Listed:
  • KENNETH J. BERRY

    (Colorado State University)

  • PAUL W. MIELKE Jr.

    (Colorado State University)

Abstract

Goodman and Kruskal's T b statistic is frequently employed by sociologists to measure association among categorical polytomies. The test of the null hypothesis T b = 0 is presently limited to an asymptotic approximation that fails to adjust for unbalanced marginals, yielding inaccurate probability values. This article details a nonasymptotic test of significance that adjusts for unbalanced marginals.

Suggested Citation

  • KENNETH J. BERRY & PAUL W. MIELKE Jr., 1985. "Goodman and Kruskal's TAU-B Statistic," Sociological Methods & Research, , vol. 13(4), pages 543-550, May.
    • Handle: RePEc:sae:somere:v:13:y:1985:i:4:p:543-550
    DOI: 10.1177/0049124185013004005
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    References listed on IDEAS

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    1. Kenneth J. Berry, 1982. "Enumeration of All Permutations of Multi‐Sets with Fixed Repetition Numbers," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 31(2), pages 169-173, June.
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