Complete the following ANOVA table to calculate the F test statistic for the ANOVA. Enter your answer to 2 decimal places. F (ANOVA test Source df SS (sum of squares) MS (Mean square) statistic) Factor 3. 314.5 Error 23 295.7 Total
Complete the following ANOVA table to calculate the F test statistic for the ANOVA. Enter your answer to 2 decimal places. F (ANOVA test Source df SS (sum of squares) MS (Mean square) statistic) Factor 3. 314.5 Error 23 295.7 Total
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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Transcribed Image Text:Complete the following ANOVA table to calculate the F test statistic for the ANOVA. Enter your answer to 2 decimal places.
| Source | df | SS (sum of squares) | MS (Mean square) | F (ANOVA test statistic) |
|--------|-----|---------------------|-----------------|-------------------------|
| Factor | 3 | 314.5 | | |
| Error | 23 | 295.7 | | |
| Total | | | | |
**Explanation:**
- **Source**: The source of variation, divided into "Factor" and "Error."
- **df (degrees of freedom)**: The number of values in the final calculation of a statistic that are free to vary. Here, for Factor it is 3, and for Error it is 23.
- **SS (sum of squares)**: Measures the total variability. It is 314.5 for the Factor and 295.7 for the Error.
- **MS (Mean square)**: Calculated as the sum of squares (SS) divided by the corresponding degrees of freedom (df).
- **F (ANOVA test statistic)**: The ratio of the Mean Square Factor to the Mean Square Error, used to determine if the factor means are significantly different.
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