A randomized block design is used to compare postweaning ave…
Questions
A rаndоmized blоck design is used tо compаre postweаning average daily gains of 4 breeds of beef cattle, Hereford, Angus, Charolais, and Simmental (we can think of the breeds at the "treatments"). The breeds are divided into 3 weight classes (i.e., 3 blocks). Block 1 contains cattle weighing 450 to 500 lb at the beginning of the experiment, block 2 contains cattle weighing 500 to 550 lb at the beginning of the experiment, and block 3 contains cattle weighing 550 to 600 lb at the beginning of the experiment. The postweaning average daily gains (in pounds per day) are as follows: Block Hereford Angus Charolais Simmental 1 3.50 3.60 3.70 3.75 2 3.55 3.63 3.71 3.80 3 3.56 3.62 3.80 3.90 The partially completed ANOVA table for this experiment is as follows: Source df SS MS F Total .160 Breed .139 .046 46 Block .014 .007 Error .007 .001 Calculate the F statistic for blocks. Do the block means differ (i.e., was blocking effective in removing variation in average daily gain)? Use a significance level of α = 0.05.
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