Table of Contents
Analysis of Variance
Previous Experimental Designs
What about two (or more) independent factors??
Definition - Factorial Experiment
Factorial Experiments
Possible Combinations
Factorial-level Combinations
INTERACTION
Factors A and B Do Not Interact
Factors A and B INTERACT
Factors A and B INTERACT
ANOVA
Total Sum of Square (TSS)
Sum of Squares Factor A (SSA)
Sum of Squares Factor B (SSB)
Sum of Squares Interaction SS(AB)
Sum of Squares Error (SSE)
MAIN EFFECTS
INTERACTIONS
Factorial notation in ANOVA
Mean Square
Degrees of Freedom
Mean Square Factor A (MSA)
Mean Square Factor B (MSB)
Mean Square Interaction MS(AB)
Mean Square Error (MSE)
Test Statistic - Main Effects
Test Statistic - INTERACTIONS
ANOVA Table
Tests for Factorial Experiment
Latin Square Example (pg. 881-887)
Plot layout
Experimental Design
Experimental DATA
Solution (s)
ANOVA Table
ANOVA Table
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Author: Bill Retzlaff
Email: wretzla@siue.edu
Home Page: www.siue.edu/~wretzla
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