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 Total Need Help? Read It 1,200 6,000 Degrees of Freedom Mean Square E
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 Total Need Help? Read It 1,200 6,000 Degrees of Freedom Mean Square E
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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![**Text Transcription**
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"In a completely randomized experimental design, 11 experimental units were used for each of the 3 treatments. Part of the ANOVA table is shown below. Complete the table then answer the questions. (Round your answers to two decimal places.)"
| Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F |
|---------------------|----------------|--------------------|-------------|----|
| Between Treatments | 6,000 | 2 | | |
| Within Treatments | 1,200 | | | |
| Total | | | | |
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---
**Graph/Diagram Explanation**
The table is an Analysis of Variance (ANOVA) table used to assess the differences between group means in an experimental design. It consists of the following components:
- **Source of Variation**: Lists the factors being analyzed (e.g., between treatments and within treatments).
- **Sum of Squares (SS)**: A measure of the total variability in the data, partitioned into components attributed to different sources of variation.
- **Degrees of Freedom (DF)**: Represents the number of independent values or quantities that can be assigned to a statistical distribution.
- **Mean Square (MS)**: Calculated as the sum of squares divided by the respective degrees of freedom for each source of variation.
- **F**: The F-statistic used in hypothesis testing to determine if there are significant differences between the means of different treatments.
Note: Some values in the table are missing and are intended to be calculated as part of the exercise.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c919535-17ac-40c0-a926-0dbdaa63953a%2F601a099a-a68d-4ac0-b8a2-613a294fb8b4%2Fewmrlum_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Text Transcription**
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"In a completely randomized experimental design, 11 experimental units were used for each of the 3 treatments. Part of the ANOVA table is shown below. Complete the table then answer the questions. (Round your answers to two decimal places.)"
| Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F |
|---------------------|----------------|--------------------|-------------|----|
| Between Treatments | 6,000 | 2 | | |
| Within Treatments | 1,200 | | | |
| Total | | | | |
**Need Help?**
[Button: Read It] [Button: Talk to a Tutor]
---
**Graph/Diagram Explanation**
The table is an Analysis of Variance (ANOVA) table used to assess the differences between group means in an experimental design. It consists of the following components:
- **Source of Variation**: Lists the factors being analyzed (e.g., between treatments and within treatments).
- **Sum of Squares (SS)**: A measure of the total variability in the data, partitioned into components attributed to different sources of variation.
- **Degrees of Freedom (DF)**: Represents the number of independent values or quantities that can be assigned to a statistical distribution.
- **Mean Square (MS)**: Calculated as the sum of squares divided by the respective degrees of freedom for each source of variation.
- **F**: The F-statistic used in hypothesis testing to determine if there are significant differences between the means of different treatments.
Note: Some values in the table are missing and are intended to be calculated as part of the exercise.
Expert Solution

Step 1
Given that
SSb = 1200 , SST = 6000
n = 3*13 = 39
Treatment = k = 3
Step by step
Solved in 2 steps

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