40. In a study of processes used to remove impurities from cellulose goods ("Optimization of Rope- Range Bleaching of Cellulosic Fabrics," Textile Research J., 1976: 493-496), the following data resulted from a 2 experiment involving the desiz- ing process. The four factors were enzyme concentration (A), pH (B), temperature (C), and time (D). Starch % by Weight En- Treat- zyme Temp. Time Ist (C) 2nd (hr) Repl. Repl. ment (L) pH (1) 6.0 60.0 6. 50 .75 50 .75 50 9.72 13.50 60.0 60.0 6. 6.0 7.0 7.0 9.80 14.04 10.13 11.27 a 6. 60.0 11.80 11.30 12.70 11.37 ab 6 6. 11.96 12.05 70.0 6.0 6.0 7.0 7.0 6.0 6. 11.38 9.92 70.0 75 50 .75 ac 6. 11.80 11.10 70.0 70.0 60.0 60.0 60.0 60.0 70.0 70.0 70.0 70.0 be 6. 13.15 13.00 10.60 12.37 10.37 12.00 11.30 11.64 13.05 14.55 11.15 15.00 12.70 14.10 13.20 16.12 abc ad bd abd cd 50 .75 50 75 50 75 6.0 7.0 7.0 6.0 6.0 7.0 7.0 acd bcd abcd 50 .75 a Use Yates's algorithm to obtain sums of squares and the ANOVA table. b. Do there appear to be any second-, third-, or fourth-order interaction effects present? Explain your reasoning. Which main effects appear to be significant?

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40. In a study of processes used to remove impurities
from cellulose goods ("Optimization of Rope-
Range Bleaching of Cellulosic Fabrics," Textile
Research J., 1976: 493-496), the following data
resulted from a 2 experiment involving the desiz-
ing process. The four factors were enzyme
concentration (A), pH (B), temperature (C), and
time (D).
Starch %
by Weight
En-
Treat- zyme
ment (gL) pH (C)
Temp. Time
1st
2nd
(hr) Repl. Repl.
(1)
a.
b.
60.0
60.0
60.0
6.
9.80 14.04
6.
50
.75
50
.75
50
.75
50
75
50
6.0
6.0
9.72 13.50
10.13 11.27
7.0
60.0
70.0
ab
7.0
6.
11.80 11.30
6.0
6.
12.70 11.37
ac
6.0
70.0
6.
11.96 12.05
6.
11.38 9.92
70.0
70.0
60.0
60.0
60.0
60.0
70.0
70.0
70.0
70.0
be
7.0
7.0
abc.
6.
11.80 11.10
13.15 13.00
10.60 12.37
10.37 12.00
11.30 11.64
13.05 14.55
11.15 15.00
6.0
.75
ad
bd
abd
6.0
50
.75
7.0
7.0
6.0
6.0
7.0
7.0
cd
acd
50
.75
50
8.
12.70 14.10
13.20 16.12
bcd
abcd
.75
a Use Yates's algorithm to obtain sums of squares
and the ANOVA table.
b. Do there appear to be any second-, third-, or
fourth-order interaction effects present? Explain
your reasoning. Which main effects appear to be
significant?
Transcribed Image Text:40. In a study of processes used to remove impurities from cellulose goods ("Optimization of Rope- Range Bleaching of Cellulosic Fabrics," Textile Research J., 1976: 493-496), the following data resulted from a 2 experiment involving the desiz- ing process. The four factors were enzyme concentration (A), pH (B), temperature (C), and time (D). Starch % by Weight En- Treat- zyme ment (gL) pH (C) Temp. Time 1st 2nd (hr) Repl. Repl. (1) a. b. 60.0 60.0 60.0 6. 9.80 14.04 6. 50 .75 50 .75 50 .75 50 75 50 6.0 6.0 9.72 13.50 10.13 11.27 7.0 60.0 70.0 ab 7.0 6. 11.80 11.30 6.0 6. 12.70 11.37 ac 6.0 70.0 6. 11.96 12.05 6. 11.38 9.92 70.0 70.0 60.0 60.0 60.0 60.0 70.0 70.0 70.0 70.0 be 7.0 7.0 abc. 6. 11.80 11.10 13.15 13.00 10.60 12.37 10.37 12.00 11.30 11.64 13.05 14.55 11.15 15.00 6.0 .75 ad bd abd 6.0 50 .75 7.0 7.0 6.0 6.0 7.0 7.0 cd acd 50 .75 50 8. 12.70 14.10 13.20 16.12 bcd abcd .75 a Use Yates's algorithm to obtain sums of squares and the ANOVA table. b. Do there appear to be any second-, third-, or fourth-order interaction effects present? Explain your reasoning. Which main effects appear to be significant?
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