Analgesic study with three treatments crossed with gender.

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Presentation transcript:

Analgesic study with three treatments crossed with gender. Two-way ANOVA Example Analgesic study with three treatments crossed with gender.

Data on pain and factor levels male C 12.4 female A 7.69 male C 14.0 female A 9.69 male C 11.6 female A 8.89 female A 6.94 female A 2.13 female A 7.26 female A 5.87 male B 12.9 female C 12.2 female A 7.20 male C 13.9 male A 8.18 male B 16.6 female C 9.41 male C 11.2 female B 8.35 male A 7.24 female A 6.81 male B 9.81 female A 6.67 female A 6.98 female A 7.07 female C 2.40 male B 7.84 female B 3.84 male B 9.42 male A 7.00 female A 5.00 male A 8.00

ANOVA table Source DF Sum of Squares F Ratio Prob > F gender 1 73.808295 12.6378 0.0014* drug 2 2 51.059196 4.3713 0.0227* drug*gender 2 30.542763 2.6148 0.0916

Range Test on Drug Level Least Sq Mean C A 10.316622 B A B 8.710767 Levels not connected by same letter are significantly different.

Interaction plots

Residual by Predicted

Normal Plot

Goodness of Fit for Normality Goodness-of-Fit Test Shapiro-Wilk W Test W Prob<W 0.970483 0.4936 Note: Ho = The data is from the Normal distribution. Small p-values reject Ho.