A clinical psychologist is comparing (bipolar) manic-depressives
with both unipolar manics and unipolar depressives on their
clinical response to a new type of psychoactive drug. Clinical
improvement scores for subjects in all three groups are given
below:
Bipolar Manics Depressives
3 4 3
4 4 4
3 5 2
2 3 5
4 4
3
What is the F ratio for this study?
1.02 |
||
2.04 |
||
3.06 |
||
4.08 |
The statistical software output for this problem is:
Analysis of Variance results:
Data stored in separate columns.
Column statistics
Column | n | Mean | Std. Dev. | Std. Error |
---|---|---|---|---|
S1 | 6 | 3.1666667 | 0.75277265 | 0.30731815 |
S2 | 5 | 4 | 0.70710678 | 0.31622777 |
S3 | 4 | 3.5 | 1.2909944 | 0.64549722 |
ANOVA table
Source | DF | SS | MS | F-Stat | P-value |
---|---|---|---|---|---|
Columns | 2 | 1.9 | 0.95 | 1.159322 | 0.3465 |
Error | 12 | 9.8333333 | 0.81944444 | ||
Total | 14 | 11.733333 |
Hence,
F ratio = 1.04
Option A is correct.
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