question 1 Consider a one-way ANOVA test with 27 samples categorized into 4 grou

Question

question 1

Consider a one-way ANOVA test with 27 samples categorized into 4 groups. It is calculated that SSE = 851. Calculate MSE.

question 2

Consider a one-way ANOVA test with with 25 samples categorized into four groups. The sample sizes and sample means are as follows:

It can be calculated that the grand mean is 9. Calculate SSTR.

question 3

The observations shown in the accompanying table were drawn from a randomized block design with no interaction.

Calculate SSA (or SS(column)).

Sample sizes (ni) 3 5 7 5 Sample means (x¯i) 10 9 10 7

Explanation / Answer

1)here df error =N-c-1=27-4=23

MSE =SSE/df(error)=851/23 =37

2)

from aove SSTr =30

3)

from above SSA =486

population ni xi ni*(Xi-Xgrand)2 1 3 10.000 3.000 2 5 9.000 0.000 3 7 10.000 7.000 4 5 7.000 20.000 grand mean= 9.000 30.000

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