14-7 2kFACTORIAL DESIGNS 541- 72.50
181030
206070809096- 49.33 –26.17 –3.00 20.17 43.33 66.50
99Normal probabilityResidualFigure 14-23 Normal
probability plot of
residuals from the
plasma etch
experiment.Treatment Replicate
Combination I II
112 221 311
a 325 435
b 354 348
ab 552 472
c 440 453
ac 406 377
bc 605 500
abc 392 419samples of the beverage are given to a test panel consisting of 20
people. Each tester assigns the beverage a point score from 1 to- Total score is the response variable, and the objective is to find
a formulation that maximizes total score. Two replicates of this
design are run, and the results are shown in the table. Analyze the
data and draw conclusions. Use 0.05 in the statistical tests.
(a) Analyze the data from this experiment.
(b) Find an appropriate regression model that explains tool
life in terms of the variables used in the experiment.
(c) Analyze the residuals from this experiment.
14-14. Four factors are thought to influence the taste of a soft-
drink beverage: type of sweetener (A), ratio of syrup to water (B),
carbonation level (C), and temperature (D). Each factor can be
run at two levels, producing a 2^4 design. At each run in the design,Treatment Replicate
Combination I II
112 159 163
a 168 175
b 158 163
ab 166 168
c 175 178
ac 179 183
bc 173 168
abc 179 182
d 164 159
ad 187 189
bd 163 159
abd 185 191
cd 168 174
acd 197 199
bcd 170 174
abcd 194 19814-7.4 Addition of Center Points to a 2kDesign (CD Only)EXERCISES FOR SECTION 14-7
14-13. An engineer is interested in the effect of cutting
speed (A), metal hardness (B), and cutting angle (C) on the life
of a cutting tool. Two levels of each factor are chosen, and two
replicates of a 2^3 factorial design are run. The tool life data (in
hours) are shown in the following table:c 14 .qxd 5/9/02 7:54 PM Page 541 RK UL 6 RK UL 6:Desktop Folder:TEMP WORK:MONTGOMERY:REVISES UPLO D CH112 FIN L: