P QUESTION 13 The following computer output was used as a part of the model adequacy check for a randomzed complete block design. Conduct the appropriate hypothesis testing based on the output using the standard 6-5 The GLM Procedure Dependent Variable: strength Source Treatment Block q DF 55 3 1 Error 164 Corrected 223 Total Sum of Mean Square Squares 2387 1809 162 8019 12377 ✓ 43.4 603.0 161.7 48.9 For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph. V Arial ΠΠΩ X F Value == 0.888 12.332 3.306 V Pr>F 0.6904 <0.001 0.0709 10pt √ 8E EXE 89 63 39H > !!! E TO) A 3 K V I XQ 52 x²

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**Question 13**

The following computer output was used as a part of the model adequacy check for a randomized complete block design. Conduct the appropriate hypothesis testing based on the output using the standard 6-step approach.

**The GLM Procedure**

Dependent Variable: strength

| Source      | DF  | Sum of Squares | Mean Square | F Value | Pr > F |
|-------------|-----|----------------|-------------|---------|--------|
| Treatment   | 55  | 2387           | 43.4        | 0.888   | 0.6904 |
| Block       | 3   | 1809           | 603.0       | 12.332  | <0.001 |
| Error       | 164 | 8019           | 48.9        |         |        |
| Corrected Total | 223 | 12377      |             |         |        |

### Explanation

The table presents the analysis of variance (ANOVA) results from a generalized linear model (GLM) procedure. The dependent variable is "strength." The ANOVA table includes the following columns:

- **DF (Degrees of Freedom):** Represents the number of independent values that can vary in the calculation.
- **Sum of Squares:** Reflects the variability due to each source.
- **Mean Square:** Calculated by dividing the sum of squares by the corresponding degrees of freedom.
- **F Value:** The ratio of the mean square of the source to the mean square error, used to determine statistical significance.
- **Pr > F:** The p-value for the F-test, indicating the probability of observing the given result by chance.

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Transcribed Image Text:**Question 13** The following computer output was used as a part of the model adequacy check for a randomized complete block design. Conduct the appropriate hypothesis testing based on the output using the standard 6-step approach. **The GLM Procedure** Dependent Variable: strength | Source | DF | Sum of Squares | Mean Square | F Value | Pr > F | |-------------|-----|----------------|-------------|---------|--------| | Treatment | 55 | 2387 | 43.4 | 0.888 | 0.6904 | | Block | 3 | 1809 | 603.0 | 12.332 | <0.001 | | Error | 164 | 8019 | 48.9 | | | | Corrected Total | 223 | 12377 | | | | ### Explanation The table presents the analysis of variance (ANOVA) results from a generalized linear model (GLM) procedure. The dependent variable is "strength." The ANOVA table includes the following columns: - **DF (Degrees of Freedom):** Represents the number of independent values that can vary in the calculation. - **Sum of Squares:** Reflects the variability due to each source. - **Mean Square:** Calculated by dividing the sum of squares by the corresponding degrees of freedom. - **F Value:** The ratio of the mean square of the source to the mean square error, used to determine statistical significance. - **Pr > F:** The p-value for the F-test, indicating the probability of observing the given result by chance. **Toolbar Note:** Instructions are provided for accessing the toolbar using keyboard shortcuts on PC and Mac. **Submission Note:** Instructions are given to save and submit the answers using the provided options.
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