Recent research indicates that the effectiveness of antidepressant medication is directly related to the severity of the depression (Khan, Brodhead, Kolts & Brown, 2005). Based on pretreatment depression scores, patients were divided into four groups based on their level of depression. After receiving the antidepressant medication, depression scores were measured again and the amount of improvement was recorded for each patient. The following data are similar to the results of the study. Run the single-factor ANOVA for this data: Low Moderate High Moderate Moderately Severe Severe 3 2.7 3.4 4.6 2.1 1.6 3.6 3.5 2.4 2.4 2.8 3.1 1.8 2 3.1 2.5 2.2 2.2 3.4 3.4 0 2.3 4.7 3.1 Fill in the summary table for the ANOVA test: S.S. d.f. M.S. Between Within TOTAL From this table, obtain the necessary statistics for the ANOVA: F-ratio: p-value: η2= What is your final conclusion? Use a significance level of α=0.01. There is a significant difference between treatments These data do not provide evidence of a difference between the treatments
Recent research indicates that the effectiveness of antidepressant medication is directly related to the severity of the depression (Khan, Brodhead, Kolts & Brown, 2005). Based on pretreatment depression scores, patients were divided into four groups based on their level of depression. After receiving the antidepressant medication, depression scores were measured again and the amount of improvement was recorded for each patient. The following data are similar to the results of the study. Run the single-factor ANOVA for this data: Low Moderate High Moderate Moderately Severe Severe 3 2.7 3.4 4.6 2.1 1.6 3.6 3.5 2.4 2.4 2.8 3.1 1.8 2 3.1 2.5 2.2 2.2 3.4 3.4 0 2.3 4.7 3.1 Fill in the summary table for the ANOVA test: S.S. d.f. M.S. Between Within TOTAL From this table, obtain the necessary statistics for the ANOVA: F-ratio: p-value: η2= What is your final conclusion? Use a significance level of α=0.01. There is a significant difference between treatments These data do not provide evidence of a difference between the treatments
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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Recent research indicates that the effectiveness of antidepressant medication is directly related to the severity of the depression (Khan, Brodhead, Kolts & Brown, 2005). Based on pretreatment depression scores, patients were divided into four groups based on their level of depression. After receiving the antidepressant medication, depression scores were measured again and the amount of improvement was recorded for each patient. The following data are similar to the results of the study.
Run the single-factor ANOVA for this data:
| Low Moderate |
High Moderate |
Moderately Severe |
Severe |
|---|---|---|---|
| 3 | 2.7 | 3.4 | 4.6 |
| 2.1 | 1.6 | 3.6 | 3.5 |
| 2.4 | 2.4 | 2.8 | 3.1 |
| 1.8 | 2 | 3.1 | 2.5 |
| 2.2 | 2.2 | 3.4 | 3.4 |
| 0 | 2.3 | 4.7 | 3.1 |
Fill in the summary table for the ANOVA test:
| S.S. | d.f. | M.S. | |
| Between | |||
|---|---|---|---|
| Within | |||
| TOTAL |
From this table, obtain the necessary statistics for the ANOVA:
F-ratio:
p-value:
η2=
What is your final conclusion? Use a significance level of α=0.01.
- There is a significant difference between treatments
- These data do not provide evidence of a difference between the treatments
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