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Using a two-way ANOVA

Two types of outdoor paint, enamel and latex, were tested to see how long (in months) each lasted before it began to crack, flake, and peel. They were tested in four geographic locations in the US to study the effects of climate on the paint. At gamma = 0.01, analyze the data shown, using a two-way ANOVA shown below. Each group contained five test panels. See below for raw data.
Enamel
North: 60, 53, 58, 62, 57
East: 54, 63, 62, 71, 76
South: 80, 82, 62, 88, 71
West: 62, 76, 55, 48, 61
Latex
North: 36, 41, 54, 65, 53
East: 62, 61, 77, 53, 64
South: 68, 72, 71, 82, 86
West: 63, 65, 72, 71, 63
ANOVA Summary
Source - SS - df - MS - F
Paint type - 12.1
Location - 2501.0
Interaction - 268.1
Within - 2326.8
Total - 5108.0.

Solution Preview

Below is the complete ANOVA table (see the spreadsheet)

ANOVA
Source of Variation SS df MS F P-value F crit
Paint ...

Solution Summary

The solution uses a two-way ANOVA.

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