An experiment has been conducted for four treatments with eight blocks. Complete

Question

An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table (to 2 decimals, if necessary).

Use  = .05 to test for any significant differences.

The p-value is

less than .01, between .01 and .025, between .025 and .05, between .05 and .10, greater than .10

What is your conclusion?
Conclude not all treatment means are equal

Do not reject the assumption that the treatment means are equal

Source of Variation Sum of Squares Degrees of Freedom Mean Square F Treatments 1,100 Blocks 300 Error Total 2,000

Explanation / Answer

number of treatments=k=4

number of blocks=l=8

to test for treatments

the F follows a F dist with df 3 and 21

b) the p value is P[F3,21>12.60]=0.000063 so correct alternative is : less than 0.01

c) since p value< level of significance=0.05

hence conclusion is not all treatment means are equal, [answer]

sources of variation sum of sq degree of freedom mean sq F treatment 900 k-1=3 900/3=300 300/23.81=12.60 block 600 l-1=7 600/7=85.71 85.7/23.81=3.60 error 2000-600-900=500 (k-1)*(l-1)=21 23.81 total 2000 kl-1=31

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