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1 results

  • Accuracy of Kendall's Chi-Square Approximation to Circular Triad Distributions

  • Gerald Knezek, Susan Wallace, Peter Dunn-Rankin
  • Journal:
    Psychometrika / Volume 63 / Issue 1 / March 1998
    Published online by Cambridge University Press:
    01 January 2025, pp. 23-34

  • This paper contains an assessment of the accuracy of Kendall's chi-square approximation to circular triad distributions. Estimated indices are compared to enumerated values across the upper and lower tails of cumulative proportions of circular triad distributions for 5–15 objects. In general, the approximation is found to be quite good. The median difference between the exact distribution and Kendall's approximation is .000692. Critical value approximations are never in error by more than one circular triad and are almost always in the conservative direction. A researcher can be confident that little meaningful error will be present when using Kendall's approximation for experiments outside the range of tabled values. It appears that the chi-square approximation will be accurate to at least two decimal places for distributions beyond 15 objects.