Suppose you are comparing the time to relief of three headache medicines -- brands 1, 2, and 3. The time to relief data is reported in minutes. For this experiment, 15 subjects were randomly placed on one of the three medicines. Which medicine (if any) is the most effective? The data for this example are as follows: Brand 1 Brand 2 Brand 3 X 24.5 28.4 26.1 23.5 34.2 28.3 26.4 29.5 24.3 27.1 32.2 26.2 29.9 30.1 27.8 A) Complete the ANOVA summary table: Sum of Degrees of Мean Brands (Between) Error (Within) Total Squares Freedom Square F p-value B) Interpret the results (write an APA style results paragraph).

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Suppose you are comparing the time to relief of three headache medicines -- brands 1, 2, and 3. The time to relief data is reported in minutes. For this experiment, 15 subjects were randomly placed on one of the three medicines. Which medicine (if any) is the most effective? The data for this example are as follows:

|        | Brand 1 |        | Brand 2 |        | Brand 3 |        |
|--------|---------|--------|---------|--------|---------|--------|
| **x**  |         | **x**  |         | **x**  |         |
|        | 24.5    |        | 28.4    |        | 26.1    |
|        | 23.5    |        | 34.2    |        | 28.3    |
|        | 26.4    |        | 29.5    |        | 24.3    |
|        | 27.1    |        | 32.2    |        | 26.2    |
|        | 29.9    |        | 30.1    |        | 27.8    |

A) Complete the ANOVA summary table:

|               | Sum of Squares | Degrees of Freedom | Mean Square | F    | p-value |
|---------------|----------------|--------------------|-------------|------|---------|
| Brands        |                |                    |             |      |         |
| (Between)     |                |                    |             |      |         |
| Error (Within)|                |                    |             |      |         |
| Total         |                |                    |             |      |         |

B) Interpret the results (write an APA style results paragraph).

**Diagram Explanation:**

- The table shows the response times in minutes for each brand of headache medicine.
- There are three main columns, each representing one of the brands (Brand 1, Brand 2, Brand 3).
- Each brand has five recorded times.

The exercise requires completing an ANOVA summary table to analyze the variance between the brands and interpreting the effectiveness of each medicine in an APA style paragraph.
Transcribed Image Text:**Text Transcription:** Suppose you are comparing the time to relief of three headache medicines -- brands 1, 2, and 3. The time to relief data is reported in minutes. For this experiment, 15 subjects were randomly placed on one of the three medicines. Which medicine (if any) is the most effective? The data for this example are as follows: | | Brand 1 | | Brand 2 | | Brand 3 | | |--------|---------|--------|---------|--------|---------|--------| | **x** | | **x** | | **x** | | | | 24.5 | | 28.4 | | 26.1 | | | 23.5 | | 34.2 | | 28.3 | | | 26.4 | | 29.5 | | 24.3 | | | 27.1 | | 32.2 | | 26.2 | | | 29.9 | | 30.1 | | 27.8 | A) Complete the ANOVA summary table: | | Sum of Squares | Degrees of Freedom | Mean Square | F | p-value | |---------------|----------------|--------------------|-------------|------|---------| | Brands | | | | | | | (Between) | | | | | | | Error (Within)| | | | | | | Total | | | | | | B) Interpret the results (write an APA style results paragraph). **Diagram Explanation:** - The table shows the response times in minutes for each brand of headache medicine. - There are three main columns, each representing one of the brands (Brand 1, Brand 2, Brand 3). - Each brand has five recorded times. The exercise requires completing an ANOVA summary table to analyze the variance between the brands and interpreting the effectiveness of each medicine in an APA style paragraph.
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