A randomized block experiment is run with three treatments T

A randomized block experiment is run with three treatments. The analysis-of-varaince (ANOVA) table takes the form below.
(a) Fill in all of the messing entries in the analysis table.
(b) Conduct the F-test for treatments and clearly state your conclusion.
(c) Conduct the F-test for blocks and clearly state your conclusion.

A randomized block experiment is run with three treatments. The three treatment means are yl, 6, y2. 6, Y2 = 7, and y3. = 1 1 . The total sum of squres is The analysis-of-variance (ANOVA) table takes the form Source of Degree of Sum of Mean variation Treatments )) Blocks Error Total square F treedom squres s (132 132) 220 (a) Fill in all of the messing entries in the analysis table (b) Conduct the F-test for treatments and clearly state your conclusion (c) Conduct the F-test for blocks and clearly state your conclusion.

Solution

(a)

(b) Here, for treatments F-stat. is 5.25 and F- critical is 5.14 at alpha 0.05

(c) Similarly for blocks F-stat. is 8.25 and F- critical is 4.76 at alpha 0.05

In both the cases ( b and c ), we fail to accept the null hypothesis.

Source of variation	Degree of freedom	Sum of Square	Mean sum of Square	Fc	Ft
Treatments	2	56	28	5.25	5.14
Blocks	3	132	44	8.25	4.76
Error	6	32	5.33
Total	11	220