A plant breeder develops a new wheat variety she hopes will…
A plant breeder develops a new wheat variety she hopes will yield more in the plains than the three most popular varieties under dry-land farming conditions. She sets up a randomized block experiment with the three major types of soil in the region – sand, clay, and loam – as the blocks. She selects a field with each soil type, divides it into four sections, and randomly selects one of the four wheat varieties for planting in each section. The yields in bushels per acre in each section are shown in the following table. Variety Block A B C D Total Sand 20 21 21 18 80 Clay 25 24 21 20 90 Loam 30 28 22 20 100 Total 75 73 64 58 270 The correction factor for this Analysis of Variance is 6,075 and the total sums of squares is 141. Calculate the F value for treatments (i.e., varieties) and the F value for blocks (i.e., soil types) for this randomized block experiment.
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