#141 A two-way analysis of variance model with interaction

A two-way analysis of variance model with interaction - Math

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A two-way analysis of variance model with interaction was fit. Factor A had 3 levels, Factor B had 3 levels, and there were 3 replicates for each combination of Factors A and B. The sum of squares for interaction (SSAB) was 16 and the sum of squares for error (SSE) was 36.
(a) In the population, what is the model that you are trying to fit?

(b) You want to test the null hypothesis of no interaction between Factor A and Factor B at level a=0.06 (six percent). What is the value of the appropriate test statistic?
(c) What is the p-value associated with this test statistic? Use the appropriate table posted on CAPA.
(d) What do you conclude at Q=0.06 (six percent)?

• Do not Reject the Null. There is no interaction between Factors A and B.
• Accept the Null. There is no interaction between Factors A and B.
• Do not Reject the Null. There is a significant interaction between Factors A and B.
• Reject the Null. There is no interaction between Factors A and B.
• Reject the Null. There is a significant interaction between Factors A and B.
• Accept the Null. There is a significant interaction between Factors A and B.

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