An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds.

Question

An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants all 3 varieties of the seeds on each of 5 different patches of fields. She then measures the crop yield in bushels per acre. Treating this as a randomized block design, the results are presented in the table that follows. Determine whether the statement is true or false. The decision made at a 0.01 level of significant on the test for the block effects implies that the blocking has been advantageous in reducing the experiment error. True False

Explanation / Answer

One-way ANOVA: Yield versus Block

Source DF SS MS F P
Block 2 82.47 41.23 15.45 0.000
Error 12 32.03 2.67
Total 14 114.50

S = 1.634 R-Sq = 72.02% R-Sq(adj) = 67.36%

Comment: The estimated p-value is less than 0.000000001. Hence, the blocking is nesessary. So, answer is TRUE.

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