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

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, the relative efficiency means that 2.47 times as many
observations in each variety group would be needed in a one-way ANOVA design as compared to
the randomized block design in order to obtain the same precision for comparison of the variety
means.