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 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 11-11
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 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 treatments. 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 conservative test, which means that it is less likely to find a significant difference between two means than other multiple comparison procedures. In this case, the Tukey procedure found a significant difference between the crop yield of Walsh and Trevor seeds. This means that the agronomist can be confident that there is a real difference between the crop yield of these two varieties of seeds.

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

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