The following data represent the results from an independent-measures study comparing two treatment conditions. Treatment One Treatment Two 4.7 3.7 5.2 2.6 6 4.6 6.5 2.2 4.8 3.5 5.3 3.7 3.9 2.6 3.9 4.9 Using technology, run the One-way ANOVA Test for this data: F-ratio: p-value: Now, run the Two Independent Sample t test on the same data: Note: Do this with "pooled variances" since one assumption we make with ANOVA is that the variances for each group are equal. t-statistic: p-value: Do you notice anything interesting about the p-values?
The following data represent the results from an independent-measures study comparing two treatment conditions. Treatment One Treatment Two 4.7 3.7 5.2 2.6 6 4.6 6.5 2.2 4.8 3.5 5.3 3.7 3.9 2.6 3.9 4.9 Using technology, run the One-way ANOVA Test for this data: F-ratio: p-value: Now, run the Two Independent Sample t test on the same data: Note: Do this with "pooled variances" since one assumption we make with ANOVA is that the variances for each group are equal. t-statistic: p-value: Do you notice anything interesting about the p-values?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The following data represent the results from an independent-measures study comparing two treatment conditions.
Using technology, run the One-way ANOVA Test for this data:
F-ratio:
p-value:
Now, run the Two Independent Sample t test on the same data:
Note: Do this with "pooled variances" since one assumption we make with ANOVA is that the variances for each group are equal.
t-statistic:
p-value:
| Treatment One |
Treatment Two |
|---|---|
| 4.7 | 3.7 |
| 5.2 | 2.6 |
| 6 | 4.6 |
| 6.5 | 2.2 |
| 4.8 | 3.5 |
| 5.3 | 3.7 |
| 3.9 | 2.6 |
| 3.9 | 4.9 |
Using technology, run the One-way ANOVA Test for this data:
F-ratio:
p-value:
Now, run the Two Independent Sample t test on the same data:
Note: Do this with "pooled variances" since one assumption we make with ANOVA is that the variances for each group are equal.
t-statistic:
p-value:
Do you notice anything interesting about the p-values?
You might also note that the F Test Statistic is the square of of the t test statistic! F=t2
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