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

question 420

Short Answer

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 agronomist decided to compare the 3 treatment means by using
the Tukey multiple comparison procedure with an overall level of significance of 0.01. How
many pairwise comparisons can be made?

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Definitions:

Scatter Plot

A type of graph used in statistics to display values for typically two variables for a set of data, showing the relationship between them.

Correlation

A statistical measure that describes the extent to which two or more variables fluctuate together.

44° Angle

An angle that measures 44 degrees, representing a specific amount of rotation between two lines around their common point.

Best Fit

A line or curve that approximates the relationship between two variables in a set of data, minimizing the discrepancies between observed and predicted values.