Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table. Treatment Treatments Blocks Error 1 2 3 4 5 9 8 Use a = 0.05 to test for any significant differences. Show entries to 2 decimals but p-value to 4 decimals, if necessary. Round all intermediate values to two decimal places in your calculations. If your answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square Total The p-value is between 0.025 and 0.05 + What is your conclusion? Conclude not all treatment means are equal 2 4 8 14 Blocks A F 10 12 19 20 B 10 6 16 18 8 p-value с с 8 5 15 19 Hint(s) Check My Work

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
100%

correct the wrong ones plz. i will rate positive.

 

 

### Randomized Block Design Analysis

Consider the experimental results for the following randomized block design. The objective is to make the calculations necessary to set up the analysis of variance table.

#### Experimental Data
The experimental results are outlined in the table below:

| Treatment |   A  |   B  |  C  |
|-----------|------|------|-----|
| Block 1   |  10  |  10  |  8  |
| Block 2   |  12  |   6  |  5  |
| Block 3   |  19  |  16  | 15  |
| Block 4   |  20  |  18  | 19  |
| Block 5   |   9  |   8  |  8  |

**Note:** Use \( \alpha = 0.05 \) to test for any significant differences. Show entries to 2 decimal places but p-value to 4 decimal places, if necessary. Round all intermediate values to two decimal places in your calculations. If your answer is zero, enter "0".

#### Analysis of Variance (ANOVA) Table
Fill in the analysis of variance table based on the provided data.

| Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F    | p-value |
|---------------------|----------------|--------------------|-------------|------|---------|
| Treatments          |                | 2                  |             |      |         |
| Blocks              |                | 4                  |             |      |         |
| Error               |                | 8                  |             |      |         |
| Total               |                | 14                 |             |      |         |

The \( p \)-value is **between 0.025 and 0.05**.

**Conclusion:**
Based on the \( p \)-value:
- Select the conclusion: **Conclude not all treatment means are equal**

**Result:**
Partially Correct

**Hints and Feedback:**
Users are encouraged to review their calculations and the assignment of values in the ANOVA table to ensure compliance with the provided instructions. Remember to consider the implications of the \( p \)-value when drawing conclusions.
Transcribed Image Text:### Randomized Block Design Analysis Consider the experimental results for the following randomized block design. The objective is to make the calculations necessary to set up the analysis of variance table. #### Experimental Data The experimental results are outlined in the table below: | Treatment | A | B | C | |-----------|------|------|-----| | Block 1 | 10 | 10 | 8 | | Block 2 | 12 | 6 | 5 | | Block 3 | 19 | 16 | 15 | | Block 4 | 20 | 18 | 19 | | Block 5 | 9 | 8 | 8 | **Note:** Use \( \alpha = 0.05 \) to test for any significant differences. Show entries to 2 decimal places but p-value to 4 decimal places, if necessary. Round all intermediate values to two decimal places in your calculations. If your answer is zero, enter "0". #### Analysis of Variance (ANOVA) Table Fill in the analysis of variance table based on the provided data. | Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F | p-value | |---------------------|----------------|--------------------|-------------|------|---------| | Treatments | | 2 | | | | | Blocks | | 4 | | | | | Error | | 8 | | | | | Total | | 14 | | | | The \( p \)-value is **between 0.025 and 0.05**. **Conclusion:** Based on the \( p \)-value: - Select the conclusion: **Conclude not all treatment means are equal** **Result:** Partially Correct **Hints and Feedback:** Users are encouraged to review their calculations and the assignment of values in the ANOVA table to ensure compliance with the provided instructions. Remember to consider the implications of the \( p \)-value when drawing conclusions.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
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