Analysis of Variance

2/17/00


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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

Author: Bill Retzlaff

Email: wretzla@siue.edu

Home Page: www.siue.edu/~wretzla

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