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CHAPTER 8. RANDOMIZED COMPLETE BLOCK DESIGN WITH …

CHAPTER 8. RANDOMIZED COMPLETE BLOCK DESIGN WITH AND WITHOUT SUBSAMPLES The RANDOMIZED COMPLETE BLOCK DESIGN (RCBD) is perhaps the most commonly encountered DESIGN that can be analyzed as a two-way AOV. In this DESIGN , a set of experimental units is grouped (blocked) in a way that minimizes the variability among the units within groups (blocks). The objective is to keep the experimental error within each BLOCK as well as possible. Each BLOCK contains a COMPLETE set of treatments, therefore differences among blocks are not due to treatments, and this variability can be estimated as a separate source of variation. The removal of an appreciable amount of this source of variation reduces experimental error and improves the ability of the experiment to detect smaller treatment differences.

MSEB is the mean square of design-B with degrees of freedom dfB. If RE>1, design A is more efficient. If RE<1, the converse is true. If a randomized complete block design (say, design-A) is used, one may want to estimate the relative efficiency compared with a completely randomized design (say, design-B).

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