TABLE 11-6
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.
-Referring to Table 11-6, the relative efficiency means that 2.47 times as many observations in each variety group would be needed in a one-way ANOVA design as compared to the randomized block design in order to obtain the same precision for comparison of the variety means.

Question

TABLE 11-6
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. 
-Referring to Table 11-6, the relative efficiency means that 2.47 times as many observations in each variety group would be needed in a one-way ANOVA design as compared to the randomized block design in order to obtain the same precision for comparison of the variety means.

Quizplus · Accepted Answer

Relative efficiency is a measure of the precision of a design compared to another design that is considered to be the most efficient. In this case, the randomized block design is considered to be the most efficient because it reduces the variability among the experimental units within each block. The relative efficiency of a one-way ANOVA design compared to a randomized block design is 2.47. This means that in order to obtain the same precision for comparison of the variety means, 2.47 times as many observations in each variety group would be needed in a one-way ANOVA design as compared to the randomized block design. Therefore, the statement is true.

TABLE 11-6 An Agronomist Wants to Compare the Crop Yield of 3