Question

Given: Ho: μA = μB = μC Ha: μA ≠ μB ≠ μC i X 1...

Given:

Ho: μA = μB = μC

Ha: μA ≠ μB ≠ μC

i X

1

 A 3
2 A 7
3 A 4

4

 A 4
5 A 4
6 B 13
7 B 15
8 B 16
9 B 12
10 B 14
11 C 8
12 C 7
13 C 6
14 C 12
15 C 13

Sum of squares between groups: 230.40

Sum of squares within groups: 58

Mean square between: 115.2

Questions:

1. What is the critical F statistic?

2. What is eta square?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1
A B C Anova: Single Factor
3 13 8
7 15 7 SUMMARY
4 16 6 Groups Count Sum Average Variance
4 12 12 A 5 22 4.4 2.3
4 14 13 B 5 70 14 2.5
C 5 46 9.2 9.7
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 230.4 2 115.2 23.83448 6.62E-05 3.885294
Within Groups 58 12 4.833333
Total 288.4 14

a) Fcritical = 3.885294

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