STAT368 Lecture Notes - Analysis Of Variance, Block Design, European Credit Transfer And Accumulation System

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In the rcbd, c= complete means that each block contains each treatment. E. g. each coupon is sub- jected to each of the 4 tips. Suppose that a coupon is only large enough that 3 tips can be used. One way to run the experiment is to randomly assign 3 tips to each block, perhaps requiring that each tip appears 3 times in total. An incom- plete block design is balanced if any two treatments appear in the same block an equal number of times. This is then a balanced incomplete block design. = # of treatments, = # of blocks. = # of times each treatment appears in the entire experiment. = # of times each pair of treatments appears to- gether. Since these parameters have to be integers, bibd de- There signs don t exist for all choices of are tables available of the ones that do exist. 97 with both sums of e ects vanishing.

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