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?
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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