A researcher compared three treatment conditions with a separate sample of \( n = 8 \) in each treatment. The results are shown in the following summary. Fill in all missing values in the table, which are noted as #1, #2, and so on. | Source | SS | df | MS | | |----------|-----|----|-----|---| | Between | #1 | #3 | #6 | F = 4.0 | | Within | 63 | #4 | #7 | | | Total | #2 | #5 | | | ### Blanks - Blank #1 - Blank #2 - Blank #3 - Blank #4 - Blank #5 - Blank #6 - Blank #7 **Explanation:** - **SS (Sum of Squares):** Represents the variation or dispersion between and within the treatment groups. - **df (Degrees of Freedom):** Corresponds to the number of independent values that can vary in the calculation of a statistic. - **MS (Mean Square):** Calculated by dividing the SS by the corresponding df. - **F (F-ratio):** A statistic used to compare variances and assess the significance of results. ### Instructions: Fill in the missing values using the relationships between SS, df, MS, and F-ratio calculations.
A researcher compared three treatment conditions with a separate sample of \( n = 8 \) in each treatment. The results are shown in the following summary. Fill in all missing values in the table, which are noted as #1, #2, and so on. | Source | SS | df | MS | | |----------|-----|----|-----|---| | Between | #1 | #3 | #6 | F = 4.0 | | Within | 63 | #4 | #7 | | | Total | #2 | #5 | | | ### Blanks - Blank #1 - Blank #2 - Blank #3 - Blank #4 - Blank #5 - Blank #6 - Blank #7 **Explanation:** - **SS (Sum of Squares):** Represents the variation or dispersion between and within the treatment groups. - **df (Degrees of Freedom):** Corresponds to the number of independent values that can vary in the calculation of a statistic. - **MS (Mean Square):** Calculated by dividing the SS by the corresponding df. - **F (F-ratio):** A statistic used to compare variances and assess the significance of results. ### Instructions: Fill in the missing values using the relationships between SS, df, MS, and F-ratio calculations.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:A researcher compared three treatment conditions with a separate sample of \( n = 8 \) in each treatment. The results are shown in the following summary. Fill in all missing values in the table, which are noted as #1, #2, and so on.
| Source | SS | df | MS | |
|----------|-----|----|-----|---|
| Between | #1 | #3 | #6 | F = 4.0 |
| Within | 63 | #4 | #7 | |
| Total | #2 | #5 | | |
### Blanks
- Blank #1
- Blank #2
- Blank #3
- Blank #4
- Blank #5
- Blank #6
- Blank #7
**Explanation:**
- **SS (Sum of Squares):** Represents the variation or dispersion between and within the treatment groups.
- **df (Degrees of Freedom):** Corresponds to the number of independent values that can vary in the calculation of a statistic.
- **MS (Mean Square):** Calculated by dividing the SS by the corresponding df.
- **F (F-ratio):** A statistic used to compare variances and assess the significance of results.
### Instructions:
Fill in the missing values using the relationships between SS, df, MS, and F-ratio calculations.
Expert Solution
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Given
The formulas are given as:
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Step 2
Therefore,
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Step by step
Solved in 3 steps
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