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
icon
Related questions
Question
**Text Transcription**

---

"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.
Transcribed Image Text:**Text Transcription** --- "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

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman