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, based on the Tukey multiple comparison procedure with an overall level of significance of 0.01, the agronomist would decide that there is a significant difference between the crop yield of Smith and Walsh seeds.

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, based on the Tukey multiple comparison procedure with an overall level of significance of 0.01, the agronomist would decide that there is a significant difference between the crop yield of Smith and Walsh seeds.

Quizplus · Accepted Answer

To apply the Tukey multiple comparison procedure, the agronomist needs to calculate the difference between the means of each pair of seed varieties and compare it with the corresponding critical value. In this case, the critical value is 5.90, which is obtained from the Tukey's HSD table for 3 treatments and 20 blocks with an overall level of significance of 0.01. The difference between the means of Smith and Walsh seeds is 13.6 - 10.7 = 2.9 bushels per acre, which is greater than the critical value. Therefore, the agronomist would conclude that there is a significant difference between the crop yield of Smith and Walsh seeds.

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