In a completely randomized experimental design, 11 experimental units were used for each of the 3 treatments. Part of the ANOVA table is shown. Fill in the blanks. (Round your F statistic to two decimal places.) Source of Variation Sum of Squares Between Treatments Within Treatments Need Help? Total Read It 4800 1,200 6,000 ✓ Degrees of Freedom 2 10 12 ✓ X X Mean Square 600 480 ✔ x 1.25 F X
In a completely randomized experimental design, 11 experimental units were used for each of the 3 treatments. Part of the ANOVA table is shown. Fill in the blanks. (Round your F statistic to two decimal places.) Source of Variation Sum of Squares Between Treatments Within Treatments Need Help? Total Read It 4800 1,200 6,000 ✓ Degrees of Freedom 2 10 12 ✓ X X Mean Square 600 480 ✔ x 1.25 F X
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 11MCQ
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Transcribed Image Text:The image shows a section of an ANOVA (Analysis of Variance) table from a completely randomized experimental design with 11 experimental units for each of 3 treatments. The table is partially filled with some sections marked with check and cross symbols, indicating correctness of entries:
| Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F |
|----------------------|----------------|--------------------|-------------|-------|
| Between Treatments | 1,200 | 2 | 600 | 1.25 (incorrect) |
| Within Treatments | 4,800 | 10 (incorrect) | 480 | |
| Total | 6,000 | 12 (incorrect) | | |
### Explanation of Terms:
- **Between Treatments**: Variation due to the effect of different treatments.
- **Within Treatments**: Variation within the same treatment group.
- **Total**: Sum of the variations between and within treatments.
### Comments on the Table:
- The sum of squares for "Between Treatments" is 1,200, and for "Within Treatments" is 4,800, leading to a total sum of squares of 6,000.
- Degrees of freedom for "Between Treatments" is correctly entered as 2. The incorrect indications suggest the other degrees of freedom need verification.
- Mean Square is calculated as Sum of Squares divided by its corresponding Degrees of Freedom. For "Between Treatments," it is correctly calculated as 600.
- The F-statistic is highlighted as incorrect, suggesting a recalculation may be necessary based on the corrected degrees of freedom.
This table is a fundamental part of statistical analysis in experimental research, helping determine if there are any statistically significant differences among treatment means.
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