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ANOVA (Testing 3 or more means (Examples (Pringle's in Germany…
ANOVA
Testing 3 or more means
One-Way ANOVA
Two-Way ANOVA
Doesn't tell which means differ
Remedy: Tukey HSD test or Fisher (LSD) test
Examples
Pringle's in Germany
iPhone's Steel
Volkswagen Scandal
Investment Analysis
Why ANOVA?
Avoid Recurring Type 1 Error
How it works
"Between" vs. "Within" Variation
Rewind: Two-Populations
3 or more Populations/Groups
One-Way ANOVA
The Hypotheses
To reject Ho: only takes 1 mean to differ
Applications
Pringle's Spice
iPhone's Steel
Medicare Regional Spending
Building the Test Statistic
F-dist'n
Between
Within
Example
Which Means Differ?
Differ if C.I. does not contain "0"
Excel Output
Two-Way ANOVA
Applications
Pringles: Spice & Sweetness
Cannibus: Seed & Fertilizer
Medicare: Region & ACO
Building the Test Statistics
Factor A
Factor B
Example
Excel Output
Framework for Excel Output
Two-Way ANOVA w/ Interaction
Factors affect/interact-with each other
Example
Quiz Review
Sample Quiz
Video Review (Word Problems)
Word Problem Review Q's
One-Way ANOVA
Fisher's Test
Two-Way ANOVA
Lecture Notes
All Rights Reserved by Brent Marinan & University of Arizona
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Test if one factor affects means (observations)
Test if two factors affects means (observations)