TABLE 11-10
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.
$$\begin{array} { l c c l }
\text { Fields } & \text { Smith } & \text { Walsh } & \text { Trevor } \
1 & 11.1 & 19.0 & 14.6 \
2 & 13.5 & 18.0 & 15.7 \
3 & 15.3 & 19.8 & 16.8 \
4 & 14.6 & 19.6 & 16.7 \
5 & 9.8 & 16.6 & 15.2
\end{array}$$
-Referring to Table 11-10, 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

TABLE 11-10
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.
 $$\begin{array} { l c c l } 
\text { Fields } & \text { Smith } & \text { Walsh } & \text { Trevor } \
1 & 11.1 & 19.0 & 14.6 \
2 & 13.5 & 18.0 & 15.7 \
3 & 15.3 & 19.8 & 16.8 \
4 & 14.6 & 19.6 & 16.7 \
5 & 9.8 & 16.6 & 15.2
\end{array}$$
-Referring to Table 11-10, 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 compare all possible pairs of means in a set of data. In this case, the agronomist is comparing the crop yield of 3 varieties of chickpea seeds. The overall level of significance is 0.01, which means that the agronomist is willing to accept a 1% chance of making a Type I error (rejecting the null hypothesis when it is actually true).The Tukey multiple comparison procedure is a step-down procedure, which means that the most significant comparison is tested first. In this case, the most significant comparison is between the crop yield of Walsh and Trevor seeds. The p-value for this comparison is 0.008, which is less than the overall level of significance of 0.01. Therefore, the agronomist would conclude that there is a significant difference between the crop yield of Walsh and Trevor seeds.

TABLE 11-10 an Agronomist Wants to Compare the Crop Yield

TABLE 11-10
an Agronomist Wants to Compare the Crop Yield