Fixed effects analysis in a Two–way ANOVA. Problem 5.6 ANOVA Effect Tests Source DF Sum of Squares F Ratio Prob > F Phos. Type2 933.33 8.8421 0.0044*

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Presentation transcript:

Fixed effects analysis in a Two–way ANOVA

Problem 5.6 ANOVA Effect Tests Source DF Sum of Squares F Ratio Prob > F Phos. Type * Glass Type <.0001* Phos. Type*Glass Type

Interaction Plot

Phosphorous Type

Tukey HSD LevelLeast Sq Mean 2A B B Levels not connected by same letter are significantly different.

Glass Effect Plot

Residuals and Normality Plot

Residuals by Predicted

Problem 5.10 Source DF Sum of Squares F Ratio Prob > F Glass Type <.0001* Temp <.0001* Glass *Temp <.0001*

Interaction Plot

Now this is slick!!!!!!!! LevelLeast Sq Mean 1,150A ,150 B ,125 C ,125 C ,125 C ,150 D ,100 E ,100 E ,100 E Levels not connected by same letter are significantly different.

Residuals by Predicted

Residual Plot and Normality Plot

Normality test Shapiro-Wilk W Test W Prob<W Note: Ho = The data is from the Normal distribution. Small p-values reject Ho.