TABLE 11-10
an Agronomist Wants to Compare the Crop

question 61

Essay

TABLE 11-10
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.
$$\begin{array} { l c c l } \text { Fields } & \text { Smith } & \text { Walsh } & \text { Trevor } \\1 & 11.1 & 19.0 & 14.6 \\2 & 13.5 & 18.0 & 15.7 \\3 & 15.3 & 19.8 & 16.8 \\4 & 14.6 & 19.6 & 16.7 \\5 & 9.8 & 16.6 & 15.2\end{array}$$
-Referring to Table 11-10, what are the degrees of freedom of the F test statistic for testing the block effects?

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Definitions:

Kruskal-Wallis Test

A nonparametric method for testing whether samples originate from the same distribution, used when the assumptions of the ANOVA are not met.

Critical Value

A point on the scale of a statistical distribution that is used to determine the boundary for rejecting the null hypothesis in hypothesis testing.

One-sample T-test

A statistical test used to compare the mean of a single sample to a known average or standard value.

Parametric Counterpart

Refers to statistical tests or models that assume a certain distribution shape for the underlying data, as opposed to non-parametric methods which do not.