Randomized-Blocks Designs

Kenneth J. Berry, Janis E. Johnston and Paul W. Mielke
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Kenneth J. Berry: Colorado State University, Department of Sociology
Janis E. Johnston: Alexandria
Paul W. Mielke: Colorado State University, Department of Statistics

Chapter Chapter 9 in A Primer of Permutation Statistical Methods, 2019, pp 315-359 from Springer

Abstract: Abstract This chapter introduces permutation methods for multiple matched samples, i.e., randomized-blocks designs. Included in this chapter are six example analyses illustrating computation of exact permutation probability values for randomized-blocks designs, calculation of measures of effect size for randomized-blocks designs, the effect of extreme values on conventional and permutation randomized-blocks designs, exact and Monte Carlo permutation procedures for randomized-blocks designs, application of permutation methods to randomized-blocks designs with rank-score data, and analysis of randomized-blocks designs with multivariate data. Included in this 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’ ω ̂ 2 $$\hat {\omega }^{2}$$ , Pearson’s η 2, Cohen’s partial η 2, and Cohen’s f 2.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-20933-9_9

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DOI: 10.1007/978-3-030-20933-9_9

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