A randomized block experiment is run with three treatments. The analysis-of-vara

Question

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.

Explanation / Answer

(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

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