ANOVA: Analysis of Variation

11/27/00


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Table of Contents

ANOVA: Analysis of Variation

The basic ANOVA situation

An example ANOVA situation

Informal Investigation

Side by Side Boxplots

What does ANOVA do?

Assumptions of ANOVA

Normality Check

Standard Deviation Check

Notation for ANOVA

How ANOVA works (outline)

PPT Slide

Minitab ANOVA Output

How are these computations made?

An even smaller example

Excel ANOVA Output

Computing ANOVA F statistic

Minitab ANOVA Output

Minitab ANOVA Output

Minitab ANOVA Output

So How big is F?

Connections between SST, MST, and standard deviation

Connections between SSE, MSE, and standard deviation

Pooled estimate for st. dev

In Summary

R2 Statistic

Where’s the Difference?

Multiple Comparisons

Tuckey’s Pairwise Comparisons

Fisher’s Pairwise Comparisons

Author: Randall Pruim (rpruim@calvin.edu)

Email: rpruim@calvin.edu

Home Page: http://www.calvin.edu/~rpruim/courses/m143/F00/

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