SCENARIO 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 Scenario 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 Walsh and Trevor seeds.

Question

SCENARIO 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 Scenario 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 Walsh and Trevor seeds.

Quizplus · Accepted Answer

The Tukey multiple comparison procedure is used to test for significant differences between pairs of means in a randomized block design. Based on the table presented, the mean crop yields for Walsh and Trevor seeds are 11.9 and 8.7 bushels per acre, respectively. Using the Tukey procedure with an overall significance level of 0.01, the minimum significant difference between means is 4.36. The difference between Walsh and Trevor seeds is 3.2, which is less than the minimum significant difference. Therefore, there is not a significant difference between the crop yield of Walsh and Trevor seeds. The Tukey multiple comparison procedure is used for pairwise comparisons between the treatment means. The agronomist would reject the null hypothesis that there is no difference between the crop yield of Walsh and Trevor seeds if the difference in their means is greater than the Tukey HSD. Based on the table, the difference between the means of Walsh and Trevor is 6.8, which is greater than the Tukey HSD value of 6.78. Therefore, the agronomist would conclude that there is a significant difference between the crop yield of Walsh and Trevor seeds.

SCENARIO 11-6 an Agronomist Wants to Compare the Crop Yield