Question
In: Statistics and Probability
Constant Sound Random Sound No Sound Subject’s Gender 7 5 2 M 4 5 2 M...
|
Constant Sound |
Random Sound |
No Sound |
Subject’s Gender |
|
7 |
5 |
2 |
M |
|
4 |
5 |
2 |
M |
|
6 |
3 |
3 |
F |
|
8 |
4 |
1 |
M |
|
6 |
4 |
2 |
F |
|
6 |
7 |
1 |
F |
|
2 |
2 |
4 |
F |
|
9 |
2 |
4 |
M |
If each subject participated in all the three conditions, and we now know about the gender of the subjects too.
Could you write down the test statistics for the gender variable?
.
.
What is the p-value of the gender variable?
.
.
What is the degree of freedom of the test statistics of the interaction effect?
If we denote them in terms of F(x, y), what is x?
.
.
What is y?
Solutions
Expert Solution
| Anova: Two-Factor With Replication | ||||||
| SUMMARY | Constant Sound | Random Sound | No Sound | Total | ||
| M | ||||||
| Count | 4 | 4 | 4 | 12 | ||
| Sum | 28 | 16 | 9 | 53 | ||
| Average | 7 | 4 | 2.25 | 4.416667 | ||
| Variance | 4.666667 | 2 | 1.583333 | 6.44697 | ||
| F | ||||||
| Count | 4 | 4 | 4 | 12 | ||
| Sum | 20 | 16 | 10 | 46 | ||
| Average | 5 | 4 | 2.5 | 3.833333 | ||
| Variance | 4 | 4.666667 | 1.666667 | 3.969697 | ||
| Total | ||||||
| Count | 8 | 8 | 8 | |||
| Sum | 48 | 32 | 19 | |||
| Average | 6 | 4 | 2.375 | |||
| Variance | 4.857143 | 2.857143 | 1.410714 | |||
| ANOVA | ||||||
| Source of Variation | SS | df | MS | F | P-value | F crit |
| Sample | 2.041667 | 1 | 2.041667 | 0.659193 | 0.427452 | 4.413873 |
| Columns | 52.75 | 2 | 26.375 | 8.515695 | 0.002497 | 3.554557 |
| Interaction | 6.083333 | 2 | 3.041667 | 0.982063 | 0.393731 | 3.554557 |
| Within | 55.75 | 18 | 3.097222 | |||
| Total | 116.625 | 23 |
test stat for gender variable = 0.659
p value = 0.427452
df for the test statistics of the interaction effect=2
x=2, y=18
orchestra answered 2 years agoRelated Solutions
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F
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F
65
8
F
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66
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3
4
5
[FeSCN2+]
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4.69x10-5 M
7.47x10-5 M
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2.65x10-4 M
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2
1
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