
Experimental Design ◾ 241
factors were both changed. e reader may verify that there is no way to
get this design by changing one variable at a time.
Figure 12.1 gives the list of aliased eects. e rst line of Figure 12.1, X1
= X2*X3, means that the main eect for background is confounded (indis-
tinguishable) from the two-way interaction eect between sign placement
and sign size. e other terms are interpreted similarly; for example, the
main eect for sign size is confounded with two-way interaction eect
between sign background and sign placement. us, for example, the
design would not let us distinguish between a big eect