This chapter introduces conventional and permutation methods for multiple matched samples, i.e., randomized-blocks designs. The chapter contains example analyses illustrating the computation of exact permutation probability values for randomized-blocks designs, calculation of measures of effect size for randomized-blocks designs, exact and Monte Carlo permutation procedures for randomized-blocks designs, and applications of permutation methods to randomized-blocks designs with rank-score data. Also included in the chapter are permutation versions of Fisher’s F test for a one-way randomized-blocks design, Friedman’s two-way analysis of variance for ranks, and a permutation-based alternative for the four conventional measures of effect size for randomized-blocks designs: Hays’ \(\hat{\omega}^{2}\) , Pearson’s \(\eta ^{2}\) , Cohen’s partial \(\eta ^{2}\) , and Cohen’s \(f^{2}\) .

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Randomized-Blocks Designs

  • 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 multiple matched samples, i.e., randomized-blocks designs. The chapter contains example analyses illustrating the computation of exact permutation probability values for randomized-blocks designs, calculation of measures of effect size for randomized-blocks designs, exact and Monte Carlo permutation procedures for randomized-blocks designs, and applications of permutation methods to randomized-blocks designs with rank-score data. Also included in the chapter are permutation versions of Fisher’s F test for a one-way randomized-blocks design, Friedman’s two-way analysis of variance for ranks, and a permutation-based alternative for the four conventional measures of effect size for randomized-blocks designs: Hays’ \(\hat{\omega}^{2}\) , Pearson’s \(\eta ^{2}\) , Cohen’s partial \(\eta ^{2}\) , and Cohen’s \(f^{2}\) .