Researchers were interested in assessing the effects of a new treatment was assessed in all participants at three time-points: (1) pre-treatment (0 treatment, and (3) after 4 weeks of treatment. Subject 0 weeks 2 weeks 4 weeks Mparticipant

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what is the f critical? what is the F observed? what is the SS within?
**Study on Seasonal Affective Disorder Treatment**

Researchers aimed to assess the effects of a new treatment on seasonal affective disorder. Mood levels of participants were evaluated at the following intervals: pre-treatment (0 weeks), post-treatment two weeks (2 weeks), and four weeks (4 weeks) after commencing treatment.

### Data Table

| Subject | 0 weeks | 2 weeks | 4 weeks | M (participant) |
|---------|---------|---------|---------|----------------|
| 1       | 28      | 45      | 69      | 47.33          |
| 2       | 32      | 43      | 72      | 49             |
| 3       | 30      | 47      | 65      | 47.33          |
| 4       | 29      | 45      | 75      | 49.67          |
| 5       | 31      | 44      | 70      | 48.33          |
| **M**   | **30**  | **44.8**| **70.2**|                |

- **M (participant)**: Average mood score per participant across all weeks.
- **M**: Mean mood score across participants at each time point.
- **GM**: Grand Mean = 48.33, representing the overall average mood score throughout the study.

### Explanation:

- **Initial Mood (0 weeks):** The participants started with varying mood scores, averaging at 30.
- **Improvement at 2 Weeks:** All participants showed an improvement by the second week, with an average score of 44.8.
- **Continued Progress at 4 Weeks:** By the fourth week, participants' moods significantly improved to an average score of 70.2.

This study indicates a positive trend in mood improvement among participants following the treatment.
Transcribed Image Text:**Study on Seasonal Affective Disorder Treatment** Researchers aimed to assess the effects of a new treatment on seasonal affective disorder. Mood levels of participants were evaluated at the following intervals: pre-treatment (0 weeks), post-treatment two weeks (2 weeks), and four weeks (4 weeks) after commencing treatment. ### Data Table | Subject | 0 weeks | 2 weeks | 4 weeks | M (participant) | |---------|---------|---------|---------|----------------| | 1 | 28 | 45 | 69 | 47.33 | | 2 | 32 | 43 | 72 | 49 | | 3 | 30 | 47 | 65 | 47.33 | | 4 | 29 | 45 | 75 | 49.67 | | 5 | 31 | 44 | 70 | 48.33 | | **M** | **30** | **44.8**| **70.2**| | - **M (participant)**: Average mood score per participant across all weeks. - **M**: Mean mood score across participants at each time point. - **GM**: Grand Mean = 48.33, representing the overall average mood score throughout the study. ### Explanation: - **Initial Mood (0 weeks):** The participants started with varying mood scores, averaging at 30. - **Improvement at 2 Weeks:** All participants showed an improvement by the second week, with an average score of 44.8. - **Continued Progress at 4 Weeks:** By the fourth week, participants' moods significantly improved to an average score of 70.2. This study indicates a positive trend in mood improvement among participants following the treatment.
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