Instruction 11-8
An agronomist wants to compare the crop yield of three varieties of chickpea seeds.She plants all three varieties of the seeds on each of five different patches of fields.She then measures the crop yield in bushels per acre.Treating this as a randomised block design,the results are presented in the table that follows.
$$\begin{array} { | l | l | l | l | }
\hline \text { Fields } & \text { Smith } & \text { Walsh } & \text { Trevor } \
\hline 1 & 11.1 & 19.0 & 14.6 \
\hline 2 & 13.5 & 18.0 & 15.7 \
\hline 3 & 15.3 & 19.8 & 16.8 \
\hline 4 & 14.6 & 19.6 & 16.7 \
\hline 5 & 9.8 & 16.6 & 15.2 \
\hline
\end{array}$$
-Referring to Instruction 11-8,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

Instruction 11-8
An agronomist wants to compare the crop yield of three varieties of chickpea seeds.She plants all three varieties of the seeds on each of five different patches of fields.She then measures the crop yield in bushels per acre.Treating this as a randomised block design,the results are presented in the table that follows.
 $$\begin{array} { | l | l | l | l | } 
\hline \text { Fields } & \text { Smith } & \text { Walsh } & \text { Trevor } \
\hline 1 & 11.1 & 19.0 & 14.6 \
\hline 2 & 13.5 & 18.0 & 15.7 \
\hline 3 & 15.3 & 19.8 & 16.8 \
\hline 4 & 14.6 & 19.6 & 16.7 \
\hline 5 & 9.8 & 16.6 & 15.2 \
\hline
\end{array}$$
-Referring to Instruction 11-8,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 the means of multiple groups. In this case, the agronomist is comparing the means of three groups: Smith, Walsh, and Trevor. 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 (i.e., concluding that there is a significant difference when there is actually no difference).The Tukey multiple comparison procedure uses a studentized range distribution to calculate the critical values for the comparisons. The critical value for the comparison of Walsh and Trevor is 4.03. The difference between the means of Walsh and Trevor is 19.3 - 16.1 = 3.2. Since 3.2 is less than 4.03, the agronomist would conclude that there is no significant difference between the crop yield of Walsh and Trevor seeds.

Instruction 11-8 an Agronomist Wants to Compare the Crop Yield

Instruction 11-8
an Agronomist Wants to Compare the Crop Yield