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Randomized-Blocks Designs

In: Statistical Methods: Connections, Equivalencies, and Relationships

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  • Kenneth J. Berry
  • Janis E. Johnston

Abstract

Chapter 7 describes connections, equivalencies, and relationships relating to one-way randomized-blocks analysis of variance designs. First, Fisher’s conventional one-way randomized-blocks analysis of variance is described. Second, a permutation test is presented for randomized-blocks data and the connection linking the two approaches is established. An example analysis illustrates the differences in the two approaches and the connection linking the two tests. Third, measures of effect size for multiple related samples are described and the interconnections linking the various measures of effect size are detailed. Fourth, Friedman’s two-way analysis of variance for ranks is described and illustrated with a small rank-score dataset. A permutation multi-sample rank-sum test is introduced and the connection linking Friedman’s test statistic and the permutation randomized-blocks test statistic is described and illustrated.

Suggested Citation

  • Kenneth J. Berry & Janis E. Johnston, 2023. "Randomized-Blocks Designs," Springer Books, in: Statistical Methods: Connections, Equivalencies, and Relationships, chapter 0, pages 291-328, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-41896-9_7
    DOI: 10.1007/978-3-031-41896-9_7
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