Comparing more than two means: two factor ANOVA with independent samples; the important role of interaction - Improving the User Experience through Practical Data Analytics - page 196

FIGURE 8.3
Preparing for SPSS analysis.
We are now ready to obtain the output.
(By the way, just to anticipate inding signiicant differences, we might as well
click on “Post Hoc,” and ask for the results of the S-N-K tests. This is shown in
Figure 8.6 , where we bring over the two variables to the right [see horizontal arrow]
and click on S-N-K [see vertical arrow].)
We now click on “Continue” (see dashed arrow in Figure 8.6 ), and that gets us
back to Figure 8.5 , and we are ready to click OK to get our output. The output for the
ANOVA is shown in Figure 8.7 .
You can see that the result for age - group (generation) is, basically, what came
out before the new factor of gender was added. It is signiicant with p -value listed as
0.000, meaning a p -value that is 0.000 to three digits (see top; dashed arrow in Figure 8.7 ).
The sums-of-squares due to age group is not the same as it was before the new factor
of gender was added, but that is because the Male/Female split is different for each
age group. In any event, the ANOVA table shows again (by seeing the 0.000 p -value)
that mean sophistication is not the same for each age group.