A two-factor factorial design has 33 degrees of freedom for factor A variation,

Question

A two-factor factorial design has 33 degrees of freedom for factor A variation, 44 degrees of freedom for factor B variation,12 degrees of freedom for interaction variation, 60

degrees of freedom for random variation, and 79 degrees of freedom for total variation. Suppose also that SSA=135,SSB=60, SSAB=240,SSE=300, SST=735, MSA=45, MSB=15,MSAB=20, MSE=5.

Complete parts (a) through (d).

a. What is the value of the FSTAT?

B.

What is the value of the FSTATtest statistic for the factor A effect?

c.

What is the value of the

Upper F Subscript FSTATtest statistic for the factor B effect?

d.

Form the ANOVA summary table and fill in all values in the body of the table.

Explanation / Answer

a) Fstat = 4 for interaction

b) Fstat = 9 for Factor A

c) Fstat = 15 for Factor B

d)

Source DF SS MSS F-Stat Factor A 33 135 45 9 Factor B 44 660 15 15 Interaction 12 240 20 4 Error 60 300 5 Total 79 735

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