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
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
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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.
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