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Math  /  Data & Statistics

QuestionQUESTION 11 A researcher wants to identify the variables that affect how likely college students are to watch their college's sports teams. The researcher surveys students to measure how often students watch their school's games. They plan to analyze these watch frequency data while considering several independent variables: IV1: Seasons during which the school has televised sports (3 levels): Fall vs. Summer vs. Spring) IV2: How often school teams win ( 5 levels): Mostly Win vs. More Wins than Losses vs. Equal Wins and Losses vs. More Losses than Wins vs. Mostly Lose) IV3: Whether the student identifies generally as a sports fan (2 levels): Sports Fan vs. Not a Sports Fan How many groups (or cells) are required for this factorial design? 3030

Studdy Solution
Calculate the total number of groups (or cells):
Total Groups=Levels of IV1×Levels of IV2×Levels of IV3\text{Total Groups} = \text{Levels of IV1} \times \text{Levels of IV2} \times \text{Levels of IV3}
Total Groups=3×5×2\text{Total Groups} = 3 \times 5 \times 2
Total Groups=30\text{Total Groups} = 30
The number of groups (or cells) required for this factorial design is:
30 \boxed{30}

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