This question is on the subject of factorial designs. I found the main effects b

Question

This question is on the subject of factorial designs. I found the main effects by averaging the values for each variable. Can someone please fill out the table for two way interactions and answer if there is a three way interaction? Thank you! Consumer tasting survey: Consumers (children adults) tasted two cooking methods and of popcorn (microwave and regular stove-top) in two flavors (butter and cheese) Adults Children Butter 6.5 8.0 Microwave Regular 3.5 8.2 Adults Children Cheese 3.0 3.0 Microwave Regular

Explanation / Answer

thus Butter main effect = 26.2/4 = 6.55

Thus Cheese main effect = 25/4 = 6.25

Main Effect children = 28.7/4 = 7.175

Main Effect adult = 22.5/4=5.625

Main effect Microwave = 20.5/4 = 5.125

Main effect regular = 30.7/4=7.675

Two-Way Effect of Butter and Children = 16.2/2= 8.1

Two-Way Effect of Butter and Adult = 10/2 = 5

Two-Way Effect of Cheese and Children = 12.5/2 = 6.25

Two-Way Effect of Cheese and Adult = 12.5/2 = 6.25

Two-Way Effect of butter and microwave= 14.5/2 = 7.25

Two-Way Effect of butter and regular= 11.7/2 = 5.85

Two-Way Effect of Cheese and microwave= 6/2 = 3

Two-Way Effect of Cheese and regular= 19/2 = 9.5

Two-way Effect of Microwave and Children = 11/2 = 5.5

Two-way Effect of regular and Children = 17.7/2 = 8.85

Two-way Effect of Microwave and adult = 9.5/2 = 4.75

Two-way Effect of regular and adult = 13/2 = 6.5

there are three way effects.

three way effect of butter,children,microwave = 8 similarly will be the other three-way effects.

Butter Children Adults Total Microwave 8 6.5 14.5 Regular 8.2 3.5 11.7 Total 16.2 10 26.2

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