CA 8-A ANOVA Complete the source table for the following data Source Between Within O D SS df O MS F Age 18 19 18 20 22 20 21 22 22 20 21 23 54°F Sunny Major Psych Psych Psych Psych Neuro Neuro Neuro Neuro ABA ABA ABA ABA 5:42 PM 11/1/2022 T495

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df between = df within = F Critical = SS Between = SS within = MS between = MS within = F = R^2= Fail to reject the null or reject the null hypothesis?
### ANOVA Exercise

**Topic:** ANOVA (Analysis of Variance)

#### Instructions:
Complete the source table for the following data.

#### Source Table:
| Source   | SS | df | MS | F |
|----------|----|----|----|---|
| Between  |    |    |    |   |
| Within   |    |    |    |   |

#### Data:
- **Age and Major:**

| Age | Major |
|-----|-------|
| 18  | Psych |
| 19  | Psych |
| 18  | Psych |
| 20  | Psych |
| 22  | Neuro |
| 20  | Neuro |
| 21  | Neuro |
| 22  | Neuro |
| 22  | ABA   |
| 20  | ABA   |
| 21  | ABA   |
| 23  | ABA   |

### Explanation:
The table is structured to show two different analyses:

1. **Between Groups**: This analysis considers the variations between different groups (majors in this case).

2. **Within Groups**: This analysis considers the variations within each group.

- **SS (Sum of Squares)**: A measure of variation or deviation from the mean.
- **df (Degrees of Freedom)**: The number of values in the final calculation of a statistic that are free to vary.
- **MS (Mean Square)**: An estimate of population variance (calculated as SS divided by df).
- **F (F-ratio)**: A statistic used to compare the variance between groups to the variance within groups.
Transcribed Image Text:### ANOVA Exercise **Topic:** ANOVA (Analysis of Variance) #### Instructions: Complete the source table for the following data. #### Source Table: | Source | SS | df | MS | F | |----------|----|----|----|---| | Between | | | | | | Within | | | | | #### Data: - **Age and Major:** | Age | Major | |-----|-------| | 18 | Psych | | 19 | Psych | | 18 | Psych | | 20 | Psych | | 22 | Neuro | | 20 | Neuro | | 21 | Neuro | | 22 | Neuro | | 22 | ABA | | 20 | ABA | | 21 | ABA | | 23 | ABA | ### Explanation: The table is structured to show two different analyses: 1. **Between Groups**: This analysis considers the variations between different groups (majors in this case). 2. **Within Groups**: This analysis considers the variations within each group. - **SS (Sum of Squares)**: A measure of variation or deviation from the mean. - **df (Degrees of Freedom)**: The number of values in the final calculation of a statistic that are free to vary. - **MS (Mean Square)**: An estimate of population variance (calculated as SS divided by df). - **F (F-ratio)**: A statistic used to compare the variance between groups to the variance within groups.
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