Fill in the missing values for this ANOVA summary table: S. d.f M.S. Between 1586.445 5 Within TOTAL 4370.445 37 -0

MATLAB: An Introduction with Applications
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**ANOVA Summary Table: Filling in Missing Values**

In the given ANOVA summary table, certain values are missing and need to be calculated. Below is the setup of the table with some values already provided:

| Source    | S.S.    | d.f. | M.S. | F   |
|-----------|---------|------|------|-----|
| Between   | 1586.445| 5    |      |     |
| Within    |         |      |      |     |
| TOTAL     | 4370.445| 37   |      |     |

**Explanation:**

- **S.S. (Sum of Squares):** This measures the total variation within the data.
  - **Between:** Represents the variation between the different groups.
  - **Within:** Represents the variation within each group.
  - **TOTAL:** Sum of the between and within variations.

- **d.f. (Degrees of Freedom):** Reflects the number of values that can vary.

- **M.S. (Mean Square):** Calculated as the sum of squares divided by the corresponding degrees of freedom.

- **F (F-ratio):** The ratio of the mean square between to the mean square within, used to determine statistical significance.

To complete the table, you'll need to calculate the missing values using the formulas for Mean Square and the F-ratio.
Transcribed Image Text:**ANOVA Summary Table: Filling in Missing Values** In the given ANOVA summary table, certain values are missing and need to be calculated. Below is the setup of the table with some values already provided: | Source | S.S. | d.f. | M.S. | F | |-----------|---------|------|------|-----| | Between | 1586.445| 5 | | | | Within | | | | | | TOTAL | 4370.445| 37 | | | **Explanation:** - **S.S. (Sum of Squares):** This measures the total variation within the data. - **Between:** Represents the variation between the different groups. - **Within:** Represents the variation within each group. - **TOTAL:** Sum of the between and within variations. - **d.f. (Degrees of Freedom):** Reflects the number of values that can vary. - **M.S. (Mean Square):** Calculated as the sum of squares divided by the corresponding degrees of freedom. - **F (F-ratio):** The ratio of the mean square between to the mean square within, used to determine statistical significance. To complete the table, you'll need to calculate the missing values using the formulas for Mean Square and the F-ratio.
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