A randomized-block experiment is run with three treatments and four blocks. The three treatment means are \(\bar{y}_{1}=6, \bar{y}_{2 \bullet}=7\), and \(\bar{y}_{3 \bullet}=11\).

The total (corrected) sum of squares is

\[220=\sum_{i=1}^{3} \sum_{j=1}^{b}\left(y_{i j}-\bar{y}_{\bullet .}\right)^{2}\]

The analysis of variance (ANOVA) table takes the form

(a) Fill in all of the missing entries in the analysis table.

(b) Conduct the \(F\) test for treatments and the \(F\) test for blocks. Use \(\alpha=0.05\).

Transcribed Image Text:

Source of variation Degrees of freedom Sum of Mean squares square F Treatments Blocks 132 Error Total 11 220