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, the randomized block F test is valid only if the population of crop yields has the same variance for the 3 varieties.

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, the randomized block F test is valid only if the population of crop yields has the same variance for the 3 varieties.

Quizplus · Accepted Answer

The validity of the randomized block F test assumes homogeneity of variances, meaning the population variances for the different groups (varieties) should be equal.

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

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