Question

Develop an effect size measure (round to 2 decimal places) for Chapter 12 question 27 shown below: In an ANOVA table, the MSE is equal to 10. Random samples of six were selected from each of four populations, where the sum of squares total was 250. Numeric Response?

Answer 1

Answer:

Given,

MSE = 10

k = 4

Here it is given that there are 6 observations

N = 6*4

N = 24

Now consider,

SSE = (N - k)*MSE

substitute values

= (24 - 4)*10

= 20*10

SSE= 200

To determine SS treatment

SS treatment = SS Total - SSE

substitute known values

= 250 - 200

= 50

Now we have to consider,

Effect size measure ²

i.e.,

² = SS treatment / SS Total

substitute values

² = 50 / 250

² = 0.20

Hence the effect size  ² = 0.20