### Data Analysis of Variance The following matrix presents mean scores (M) for an experimental study involving two factors: gender and treatment condition. | | No Treatment | Treatment | Overall | |-----------------|--------------|-----------|---------| | **Male** | M = 8 | M = 14 | M = 11 | | **Female** | M = 4 | M = 10 | M = 7 | | **Overall** | M = 6 | M = 12 | | The table shows mean scores for males and females under two conditions: receiving no treatment and receiving treatment. Overall means for gender and treatment conditions are also provided. #### Questions: a. **Which two means are compared to describe the treatment main effect?** b. **Which two means are compared to describe the gender main effect?** c. **Is there an interaction between gender and treatment? Explain your answer.** This data can be used to understand how treatment and gender independently and interactively impact the outcomes observed.

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### Data Analysis of Variance

The following matrix presents mean scores (M) for an experimental study involving two factors: gender and treatment condition.

|                 | No Treatment | Treatment | Overall |
|-----------------|--------------|-----------|---------|
| **Male**        | M = 8        | M = 14    | M = 11  |
| **Female**      | M = 4        | M = 10    | M = 7   |
| **Overall**     | M = 6        | M = 12    |         |

The table shows mean scores for males and females under two conditions: receiving no treatment and receiving treatment. Overall means for gender and treatment conditions are also provided.

#### Questions:

a. **Which two means are compared to describe the treatment main effect?**

b. **Which two means are compared to describe the gender main effect?**

c. **Is there an interaction between gender and treatment? Explain your answer.**

This data can be used to understand how treatment and gender independently and interactively impact the outcomes observed.
Transcribed Image Text:### Data Analysis of Variance The following matrix presents mean scores (M) for an experimental study involving two factors: gender and treatment condition. | | No Treatment | Treatment | Overall | |-----------------|--------------|-----------|---------| | **Male** | M = 8 | M = 14 | M = 11 | | **Female** | M = 4 | M = 10 | M = 7 | | **Overall** | M = 6 | M = 12 | | The table shows mean scores for males and females under two conditions: receiving no treatment and receiving treatment. Overall means for gender and treatment conditions are also provided. #### Questions: a. **Which two means are compared to describe the treatment main effect?** b. **Which two means are compared to describe the gender main effect?** c. **Is there an interaction between gender and treatment? Explain your answer.** This data can be used to understand how treatment and gender independently and interactively impact the outcomes observed.
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