## Statistics Tip: In 2-Factor (2-Way) ANOVA, separated lines show that Factor A has an effect10/24/2019 In this example, we are testing 2 Factors for their effect on the y Variable, Cleanliness. - Factor A is the Detergent type. There are 2 "levels": Detergent #1 and Detergent #2.
- Factor B is the Water Temperature. There are 3 levels: Cold, Warm, and Hot.
We see from the graph that -- for all three levels of Factor B, Detergent #1 cleans better than Detergent #2. The lines are substantially separated, indicating that the difference is Statistically Significant. (The ANOVA numbers will tell us for sure.) If Factor B did have an effect, the lines would be slanted. Again, separated lines tell us that Factor A has an effect. If the lines were not separated, as below, then Factor A does not have an effect.
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## AuthorAndrew A. (Andy) Jawlik is the author of the book, Statistics from A to Z -- Confusing Concepts Clarified, published by Wiley. ## Archives
March 2021
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