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2. The following summary table presents the results from an ANOVA comparing k=3 treatment conditions with n = 12 participants in each of the 3

2. The following summary table presents the results from an ANOVA comparing k=3 treatment conditions with n = 12 participants in each of the 3 conditions. Fill all missing values (hint: begin with the df column).

Source SS df MS F
Between treatments 9
Within Treatments
Total 117

1. Pretend you want to know if there is a difference in happiness between people who have dogs, cats, or no pets at all. You find n = 5 people who have a dog, n= 5 people who have a cat, and n=5 people who don't have any pets, and you compare their happiness ratings (higher scores = happier). The data are below.

No Pet (X1) Cat (X2) Dog (X3)

N =

SXtotal =

SX2total =

0 1 4
2 3 6
2 2 2
0 2 4
3 3 3

M1=

SX1 =

M2=

SX2 =

M3=

SX3 =

A. Do the data indicate significant differences among cat owners, dog owners, and those with no pets? Test with alpha = .05. Be sure to calculate the ANOVA by hand.

B. Calculate h2

C. If you do have a significant ANOVA, then calculate Tukey's HSD by hand to determine which group(s) is(are) different from which other(s).

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