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Statistics and Probability

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Higher-Order Factorial ANOVA

STATS-GLUYNG

A behavioral economist studying reasoning has 18, 20, and 22 year-old students estimate where they have to put a 2-gram weight to balance a scale.

Each subject is given problems in all combinations of the given amount of weight on one side of the scale (either 2, 3, 4, 5 or 6 grams) and the distance he or she must place the weight on the other side of the scale (1, 2, 3 or 4 units) in order to get it to balance.

What is the appropriate statistical test for this study?

A

A one-way ANOVA with 3 levels.

B

A 4 x 5 within-subjects ANOVA.

C

A three-factor, factorial ANOVA with 1 independently sampled factor and 2 within-subjects, or dependent factors.

D

A 3 x 5 x 4 completely independent-sample ANOVA.