A mail-order catalog firm designed a factorial experiment to test the effect of the size of a magazine advertisement and the advertisement design on the number (in thousands) of catalog requests received. Three advertising designs and two sizes of advertisements were considered. The following data were obtained.
Size of Advertisement
Small Large
A 8 12
12 8
Design B 22 26
14 30
C 10 18
18 14
Test for any significant effects due to type of design, size of advertisement, or interaction. Use the ANOVA procedure for factorial designs to test for any significant effects due to type of design,size of advertisement,or interaction. Use alpha=0.05.
Show your ANOVA result and answer the following:
(a) Is the effect of advertisement size significant (i.e., are averages for advertisement size not the same?)
(b) Is the effect of design significant?
(c) Is the interaction between advertisement size and design significant?