Asked by Alexis Quackenbush on Jul 14, 2024

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Which of the following would be an example of a design that examines the effects gender and school type (i.e. ,elementary,middle,or high school) on a scale of student attitudes toward learning?

A) 2 × 2 ANOVA
B) 3 × 3 ANOVA
C) 2 × 3 ANOVA
D) simple ANOVA

2 × 3 ANOVA

A statistical test that analyzes the effects of two independent variables on a dependent variable, where the first variable has two levels and the second has three levels.

  • Comprehend the notion of interaction effects within the context of ANOVA.
  • Understand the relevance of assessing variables across diverse levels and conditions.
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Andrew QuinteroJul 21, 2024
Final Answer :
C
Explanation :
A 2 × 3 ANOVA would allow for examining the effects of both gender (2 levels) and school type (3 levels) on the scale of student attitudes toward learning. This design would allow for testing the main effects of each factor (i.e., the effect of gender and the effect of school type), as well as the interaction between these factors (i.e., whether the effect of gender differs depending on school type or vice versa). The 2 × 2 ANOVA would only allow for examining two levels of one factor and two levels of another factor, which would not allow for the examination of school type. The 3 × 3 ANOVA would allow for examining three levels of each factor, but would not be necessary if only two levels of one factor (gender) and three levels of another factor (school type) are of interest. A simple ANOVA refers to a one-way ANOVA with only one group factor, which is not suitable for examining the effects of both gender and school type.