Question

A two-factor factorial design has 2 degrees of freedom for factor A variation, 5 degrees of freedom for factor B variation, 10 degrees of freedom for interaction variation, 72 degrees of freedom for random variation, and 89 degrees of freedom for total variation. Suppose also that SSA=10,SSB=225,SSAB=700,SSE=360, SST =1,295,MSA=5,MSB=45,MSAB=70, and MSE=5. Complete parts (a) through

(d). a. What is the value of the FSTAT test statistic for the interaction effect?
F STAT ?
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Answer 1

The value of the FSTAT test statistic for the interaction effect is 14.

Step-by-step explanation:

To find the FSTAT test statistic for the interaction effect, we need to calculate the Mean Square for the interaction (MSAB) and the Mean Square Error (MSE). The formula for the F statistic is FSTAT = MSAB / MSE. Given that MSAB = 70 and MSE = 5, we can substitute these values into the formula:

FSTAT = 70 / 5 = 14.

Therefore, the value of the FSTAT test statistic for the interaction effect is 14.