For the following ANOVA table for a Randomized Bolck design

For the following ANOVA table for a Randomized Bolck design: What is the result of the hypothesis test (assume two tailed alpha = .01, F_crit(2.26) = 5053, F_crit(1.26) = 7.72? What is the impact of the Block compared to a Oneway ANOVA?

Solution

(a)

Groups:

H_0G:There is no significance difference among the groups

H_1G:There is a significance difference among the groups

Level of significance alpha =.01

Decision rule :

Reject H₀:if p value<0.01

From the given information the value of test statisticFG=4.42 and the p valueis 0.0223

Decision:

here p value>0.01thus dont reject the at 1% level of significance

There is no enough evidance to conclude that there is a significant difference among the groups

(b)

The impact of block compared to one-way ANOVA is that block is used to test the null hypothesis that multiple poulation means are different from each other and multiple comparisons test may be the answer which specific mean is significantly different and compare to one way ANOVA is not able to suggest which specific mean is significantly different unless if there is a three variables present in population