A researcher wants to understand how an annual mortgage payment (in dollars) depends on income level and zonal location using a two-way ANOVA without interaction. The data and an incomplete ANOVA table are shown below. Which of the following is the value of the test statistic for factor A?
A) 4.76
B) 5.14
C) 9.41
D) 32.86

Question

A researcher wants to understand how an annual mortgage payment (in dollars) depends on income level and zonal location using a two-way ANOVA without interaction. The data and an incomplete ANOVA table are shown below.   Which of the following is the value of the test statistic for factor A?
A) 4.76 
B) 5.14 
C) 9.41 
D) 32.86

Quizplus · Accepted Answer

The test statistic for factor A can be found by dividing the SS(A) by the MS(A). From the ANOVA table, we see that SS(A) = 210.63 and MS(A) = 22.36. Dividing these values gives us a test statistic of 9.41. Therefore, the answer is C.

A Researcher Wants to Understand How an Annual Mortgage Payment