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    Using a two-way ANOVA

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    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.

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    https://brainmass.com/statistics/analysis-of-variance/way-anova-490834

    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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