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This chapter introduces conventional and permutation methods for the analysis of goodness of fit. The chapter provides example analyses illustrating computation of permutation methods for goodness-of-fit tests and analysis of contingency tables comprised of two categorical variables. Also included in the chapter are permutation versions of Pearson chi-squared goodness-of-fit test, Pearson’s chi-squared test of independence, Cramér’s \(V^{2}\) measure of nominal association, and Mielke and Berry’s exact probability test.

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Goodness of Fit and Contingency

  • 章节

  • 发表日期：

    2025年

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  • Kenneth J. Berry,
  • Janis E. Johnston,
  • Michael A. Long,
  • Paul B. Stretesky,
  • Michael J. Lynch

摘要

This chapter introduces conventional and permutation methods for the analysis of goodness of fit. The chapter provides example analyses illustrating computation of permutation methods for goodness-of-fit tests and analysis of contingency tables comprised of two categorical variables. Also included in the chapter are permutation versions of Pearson chi-squared goodness-of-fit test, Pearson’s chi-squared test of independence, Cramér’s \(V^{2}\) measure of nominal association, and Mielke and Berry’s exact probability test.