N u m b e r
of Coa ts 1 2 3 4
6
72.0 72.1 75.2 70.4
74.6 76.9 73.8 68.1
67.4 74.8 75.7 72.4
72.8 73.3 77.8 72.4
8
76.9 80.3 80.2 74.3
78.1 79.3 76.6 77.6
72.9 76.6 77.3 74.4
74.2 77.2 79.9 72.9
10
76.3 80.9 79.2 71.6
74.1 73.7 78.0 77.7
77.1 78.6 77.6 75.2
75.0 80.2 81.2 74.4
Batch
Two-Way ANOVA in SPSS STAT 314
Preliminary research on the production of
imitation pearls entailed studying the effect of the
number of coats of a special lacquer applied to an
opalescent plastic bead used as the base of the
pearl on the market value of the pearl. Four
batches of beads (12 beads per batch) were used in
the study, and it is desired to also consider the
batch effect on the market value. The three levels
of lacquer coatings (6, 8, and 10 coats) were fixed
in advance, as were the production formulations
for the four batches. The market value of each
pearl was determined by a panel of experts. The
data are shown in the accompanying table.
Perform the appropriate analysis of variance
procedure (including a profile plot of the means,
hypothesis tests, and multiple comparisons) for
this experiment. Use
α
= 0.05.
1. Each treatment is a combination of the Number of Coats value and the Batch value. Enter the
treatment numbers into one column with the corresponding number of coats, batch number, and
market values into separate variables (see figure, below). Be sure to enter your variables
appropriately.
