h. What is an appropriate null hypothesis for the Interaction? | |||||||||
i. What is an appropriate alternate hypothesis for the Interaction? | |||||||||
l. What is the value of the test statistic (F) for the Interaction? | |||||||||
m. What is the p value for the Interaction? | |||||||||
n. What is your conclusion concerning the null hypothesis for the Interaction? Reject / Not Reject? | |||||||||
o. Does you conclusion concerning the interaction confound the effect of the two factors? Yes/No |
Two Way Analysis of Variance results:
Responses: Values Row factor: Temperature Column factor: Brand
ANOVA table
Source | DF | SS | MS | F-Stat | P-value |
---|---|---|---|---|---|
Temperature | 1 | 20076.843 | 20076.843 | 1295.2227 | <0.0001 |
Brand | 2 | 52.710208 | 26.355104 | 1.7002539 | 0.2107 |
Interaction | 2 | 19.635208 | 9.8176042 | 0.63336572 | 0.5422 |
Error | 18 | 279.01237 | 15.500687 | ||
Total | 23 | 20428.2 |
Means table
Alka-Seltzer | Equate | Kroger | ||
---|---|---|---|---|
Cold | 83.915 | 78.8525 | 83.915 | 82.2275 |
Hot | 24.79 | 23.565 | 24.79 | 24.381667 |
54.3525 | 51.20875 | 54.3525 | 53.304583 |
Solution-h:
H0: There is no interaction effect between tempearture and Brand
Solution-i
H1: There is an interaction effect between temperature and Brand
l. What is the value of the test statistic (F) for the Interaction?
F=0.63336572
m. What is the p value for the Interaction?
p value=0.5422
n. What is your conclusion concerning the null hypothesis for the Interaction? Reject / Not Reject
p=0.5422
p>0.05
Fail to reject Ho
o. Does you conclusion concerning the interaction confound the effect of the two factors?
No
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