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418-Test2-Practice-TwoWayANOVA

# 418-Test2-Practice-TwoWayANOVA - Multi-Group Designs Two...

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1 Multi-Group Designs: Two Way Analysis of Variance (practice) Problem You would like to investigate the effects of toy color on toy preference in little boys and girls. You recruit four independent groups of children, 3 in each condition, and have them play with either pink or blue toys. You record the toy preference on a 15-point scale you have devised. Data Dependent Variable : Toy Preference Independent Groups in each cell: n = 3 Blue Pink Boys 7 6 5 2 3 4 Girls 4 5 6 12 10 11

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2 Our Questions 1 + 1 = 3 Factor 1: Main effect of gender Does toy preference depend on gender? Factor 2: Main effect of color Does toy preference depend on color? Factor 1 x Factor 2 (2-way interaction): Does the effect of gender on toy preference depend on color? Blue Pink Boys 7 2 6 3 5 4 Girls 4 12 5 10 6 11 Creating a Matrix of Cell Means Mean Cell 1 = 6 Mean Cell 2 = 3 Mean Cell 4 = 11 Mean Cell 3 = 5 TOY COLOR Blue Pink Boys 6 3 GENDER Girls 5 11 Eyeballing The Main Effects Main Effect = the overall effect of IV 1 , collapsed (averaged) across the levels of IV 2
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418-Test2-Practice-TwoWayANOVA - Multi-Group Designs Two...

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