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Titlebook: Block Designs: A Randomization Approach; Volume I: Analysis Tadeusz Caliński,Sanpei Kageyama Book 2000 Springer Science+Business Media New

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https://doi.org/10.1007/BFb0058395mpared within similar conditions. For this aim, the experimental units (plots) were arranged in compact sets, each comprising possibly uniform units in a number equal to the number of treatments. Such sets of units were called blocks, and because the treatments were assigned to units within blocks a
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https://doi.org/10.1007/BFb0058395 be random-ized before they enter the experiment. Suppose that to apply a general block design, in the sense of Section 2.2, randomization is performed as described by Nelder (1954), i.e., by randomly permuting blocks within a total area of them and by randomly permuting units within the blocks. The
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https://doi.org/10.1007/BFb0030982roportion-ality of them (Section 2.4.2). These notions have been formulated and discussed in terms of constructional features of the design, leaving their statistical impli-cations to the time when a model for the variables observed in the experiment is adopted and its properties are fully establish
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https://doi.org/10.1007/BFb0030982 from the point of view of its statistical properties and their consequences for the analysis. The aim of the present chapter is to extend the model to the experimental situation in which the blocks are further grouped into some sets called “superblocks,” forming in that way two strata of blocks. Su
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Block Designs: A Randomization Approach978-1-4612-1192-1Series ISSN 0930-0325 Series E-ISSN 2197-7186
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978-0-387-98578-7Springer Science+Business Media New York 2000
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