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 whether using different patches is advantageous in reducing the random error?
A)One-way ANOVA F test for differences among more than two means
B)Randomized block F test for differences among more than two means
C)Randomized block F test for block effect
D)Two-way ANOVA F test for the variety effect

Question

Quizplus · Accepted Answer

The randomized block F test for block effect is the most appropriate option in this situation as it will help to determine whether using different patches of fields has a significant effect on the crop yield, by controlling the variation caused by the different blocks or patches. This will help to reduce the random error and increase the accuracy of the results. The one-way ANOVA F test for differences among more than two means and the two-way ANOVA F test for the variety effect are not relevant in this case as they do not account for the effect of different patches. The randomized block F test for differences among more than two means is also not the best option as it is more suitable when there is a blocking effect present, which is not the primary concern in this experiment.

An Agronomist Wants to Compare the Crop Yield of 3