SCENARIO 11-11
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. $\begin{array}{rrrr}
\underline {\text { Fields }} &\underline {\text { Smith}}& \underline{\text {Walsh}}& \underline{\text {Trevor }}\
1&11.1 & 19.0 & 14.6 \
2&13.5 & 18.0 & 15.7 \
3&15.3 & 19.8 & 16.8 \
4&14.6 & 19.6 & 16.7 \
5&9.8 & 16.6 & 15.2
\end{array}$
-Referring to Scenario 11-11, based on the Tukey-Kramer 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 Trevor seeds.

Question

SCENARIO 11-11
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. $\begin{array}{rrrr}
\underline {\text { Fields }} &\underline {\text { Smith}}&  \underline{\text {Walsh}}&  \underline{\text {Trevor }}\
1&11.1 & 19.0 & 14.6 \
2&13.5 & 18.0 & 15.7 \
3&15.3 & 19.8 & 16.8 \
4&14.6 & 19.6 & 16.7 \
5&9.8 & 16.6 & 15.2
\end{array}$
-Referring to Scenario 11-11, based on the Tukey-Kramer 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 Trevor seeds.

Quizplus · Accepted Answer

The Tukey-Kramer procedure is used to compare all possible pairs of means in a randomized block design. In this case, there are 3 varieties of chickpea seeds, so there are 3 possible pairs of means. The Tukey-Kramer procedure would be used to compare the mean crop yield of Smith seeds to the mean crop yield of Walsh seeds, the mean crop yield of Smith seeds to the mean crop yield of Trevor seeds, and the mean crop yield of Walsh seeds to the mean crop yield of Trevor seeds. The overall level of significance is 0.01, which means that the agronomist would reject the null hypothesis of no difference between the means if the p-value for any of the comparisons is less than 0.01. The p-value for the comparison of the mean crop yield of Smith seeds to the mean crop yield of Trevor seeds is less than 0.01, so the agronomist would reject the null hypothesis and conclude that there is a significant difference between the crop yield of Smith and Trevor seeds.

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

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