The following table shows the results of a two-factor analysis of variance with 2 levels of factor A, 3 levels of factor B, and a separate sample of n= 5 participants in each of the treatment conditions. Note that several values are missing in the table. What is the missing value for the F-ratio for Factor A? Source Between A %3D df MS SS 80 XX F = X F = XX 8. XX XX XX XX 20 AxB XX XX XX F= XX Within XX XX XX

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I would like some help with question 12 please. 

**Educational Website Transcription for Two-Factor ANOVA Analysis**

**Question 11**

The following data were obtained from a two-factor independent-measures experiment with \( n = 5 \) participants in each treatment condition. What is the F-value for Factor B? (Just type the number in the answer box.)

|       | B1          | B2          | B3          |
|-------|-------------|-------------|-------------|
| A1    | M = 37, SS = 55 | M = 67, SS = 30 | M = 57, SS = 45 |
|       | 18          | 21          | 24          |
| A2    | M = 91, SS = 53 | M = 71, SS = 52 | M = 71, SS = 55 |
|       | 26          | 20          | 20          |

**Question 12**

The following table shows the results of a two-factor analysis of variance with 2 levels of Factor A, 3 levels of Factor B, and a separate sample of \( n = 5 \) participants in each of the treatment conditions. Note that several values are missing in the table. What is the missing value for the F-ratio for Factor A?

| Source     | SS | df | MS  | F    |
|------------|----|----|-----|------|
| A          | xx | 1  | xx  | ???  |
| B          | xx | xx | xx  | 8    |
| A x B      | 90 | xx | 15  | xx   |
| Within     | 200| 24 | xx  |      |
| Total      | xx | 29 |     |      |

**Answer Options for Question 12:**

- 2
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- 8
- 16

*Instructions: Click "Save and Submit" to save and submit your answers. Click "Save All Answers" to save all responses before submission.*

**Graph/Diagram Explanation:**

The tables included demonstrate the process of calculating F-values within a two-factor ANOVA. The first table provides specific mean (\( M \)) and sum of squares (\( SS \)) values for different levels of Factors A and B. The second table is meant to help complete the ANOVA analysis by providing partially filled in values, where students must determine the missing
Transcribed Image Text:**Educational Website Transcription for Two-Factor ANOVA Analysis** **Question 11** The following data were obtained from a two-factor independent-measures experiment with \( n = 5 \) participants in each treatment condition. What is the F-value for Factor B? (Just type the number in the answer box.) | | B1 | B2 | B3 | |-------|-------------|-------------|-------------| | A1 | M = 37, SS = 55 | M = 67, SS = 30 | M = 57, SS = 45 | | | 18 | 21 | 24 | | A2 | M = 91, SS = 53 | M = 71, SS = 52 | M = 71, SS = 55 | | | 26 | 20 | 20 | **Question 12** The following table shows the results of a two-factor analysis of variance with 2 levels of Factor A, 3 levels of Factor B, and a separate sample of \( n = 5 \) participants in each of the treatment conditions. Note that several values are missing in the table. What is the missing value for the F-ratio for Factor A? | Source | SS | df | MS | F | |------------|----|----|-----|------| | A | xx | 1 | xx | ??? | | B | xx | xx | xx | 8 | | A x B | 90 | xx | 15 | xx | | Within | 200| 24 | xx | | | Total | xx | 29 | | | **Answer Options for Question 12:** - 2 - 4 - 8 - 16 *Instructions: Click "Save and Submit" to save and submit your answers. Click "Save All Answers" to save all responses before submission.* **Graph/Diagram Explanation:** The tables included demonstrate the process of calculating F-values within a two-factor ANOVA. The first table provides specific mean (\( M \)) and sum of squares (\( SS \)) values for different levels of Factors A and B. The second table is meant to help complete the ANOVA analysis by providing partially filled in values, where students must determine the missing
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