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. Which of the following tests will be the most appropriate to find out if the different patches is advantageous in reducing the random error?
A) two-way ANOVA F test for the variety effect
B) randomized block F test for differences among more than two means
C) randomized block F test for block effect
D) one-way ANOVA F test for differences among more than two means

Question

Quizplus · Accepted Answer

In this scenario, the randomized block F test for block effect would be most appropriate. This is because the goal of the test is to determine if the different patches (blocks) have a significant effect on the crop yield. By controlling for the variability caused by the different patches, the experiment can reduce the amount of random error and increase the precision of the results. The other tests listed (two-way ANOVA F test for the variety effect, randomized block F test for differences among more than two means, and one-way ANOVA F test for differences among more than two means) do not directly address the issue of reducing random error caused by the different patches.

An Agronomist Wants to Compare the Crop Yield of 3