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# ANOVA

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1. A researcher investigated the number of viral infections people contract as a function of the amount of stress they experienced during a 6-month period. She obtained the following data:
Amount of Stress
Negligible Stress Minimal Stress Moderate Stress Severe Stress
2 4 6 5
1 3 5 7
4 2 7 8
1 3 5 4

A.) What are H0 and Ha?
B.) Compute Fobt and complete the ANOVA summary table.
C.) With &#945;=.05, what is the Fcrit?
E.) Perform the appropriate post hoc comparisons.
G.) Describe the effect size and interpret it.
H.) Estimate the value of µ that is likely to be found in the severe stress condition.

2. In a study in which k =3, n =21, 1=45.3, 2 = 16.9, and 3 = 8.2, you compute the following sums of squares:
Source Sum of Squares df Mean Square F
Between 147.32 _____ _____ ___
Within 862.99 _____ _____
Total 1010.31 _____

A.) Compute the ANOVA summary table.
B.) With &#945; = .05, what do you conclude about F obt?
C.) Report your results in the correct format.
E.) What is the effect size in this study, and what does this tell you about the influence of the independent variable?