In a study of processes used to remove impurities from cellulose goods, the following data resulted from a 2* experiment involving the desizing process. The four factors were enzyme concentration (A), pH (8), temperature (C), and time (D). Enzyme Starch% by Weight 1st Treatment (g/L) pH (1) 0.50 6.0 a 0.75 Temp. Time (°C) 60.0 6.0 60.0 2nd (hr) Repl. Repl. 6 9.72 13.50 6 9.80 14.04 b 0.50 7.0 60.0 6 10.13 11.27 ab 0.75 7.0 60.0 6 11.84 11.30 c 0.50 6.0 70.0 6 12.70 11.37 ас 0.75 6.0 70.0 6 11.96 12.05 bc 0.50 7.0 70.0 6 11.38 9.92 abc 0.75 7.0 70.0 6 11.80 11.14 d 0.50 6.0 60.0 8 13.15 13.00 ad 0.75 6.0 60.0 8 10.60 12.37 bd 0.50 7.0 60.0 8 10.37 12.00 abd 0.75 od 0.50 7.0 60.0 6.0 8 11.30 11.64 70.0 8 13.05 14.55 acd 0.75 6.0 70.0 8 11.17 15.00 bod 0.50 7.0 70.0 8 12.70 14.15 abcd 0.75 7.0 70.0 8 13.20 16.12 (a) Use Yates's algorithm to obtain sums of squares and the ANOVA table. (Round your answers to two decimal places.) Source df SS MS A 17 17 0.08 B 1 ✓ 1.88 ✓ 1.88 0.83 C 1 x x x D 1 ✓ 13.08 13.08 ✓ x AB L ✓ 3.42 ✓ 3.42 ✓ 1.526 AC 1 ✓ 25 25 ✓ 11 AD 1 95 95 43 BC 1 ✓ 75 ✓ 75 34 BD 1 78 ✔ 78 34 CD 1 · x x x ABC 1 ✓ 0.01 0.01 0.01 ABD 1 ✓ 72 ✓ 72 ✓ 32 ACD 1 ✓ 62 ✔ 62 ✓ 27 BCD 1 1.76 1.76 8 ABCD 1 0 0 ✓ 0 Error 16 ✓ x 2.25 Total 31 x
In a study of processes used to remove impurities from cellulose goods, the following data resulted from a 2* experiment involving the desizing process. The four factors were enzyme concentration (A), pH (8), temperature (C), and time (D). Enzyme Starch% by Weight 1st Treatment (g/L) pH (1) 0.50 6.0 a 0.75 Temp. Time (°C) 60.0 6.0 60.0 2nd (hr) Repl. Repl. 6 9.72 13.50 6 9.80 14.04 b 0.50 7.0 60.0 6 10.13 11.27 ab 0.75 7.0 60.0 6 11.84 11.30 c 0.50 6.0 70.0 6 12.70 11.37 ас 0.75 6.0 70.0 6 11.96 12.05 bc 0.50 7.0 70.0 6 11.38 9.92 abc 0.75 7.0 70.0 6 11.80 11.14 d 0.50 6.0 60.0 8 13.15 13.00 ad 0.75 6.0 60.0 8 10.60 12.37 bd 0.50 7.0 60.0 8 10.37 12.00 abd 0.75 od 0.50 7.0 60.0 6.0 8 11.30 11.64 70.0 8 13.05 14.55 acd 0.75 6.0 70.0 8 11.17 15.00 bod 0.50 7.0 70.0 8 12.70 14.15 abcd 0.75 7.0 70.0 8 13.20 16.12 (a) Use Yates's algorithm to obtain sums of squares and the ANOVA table. (Round your answers to two decimal places.) Source df SS MS A 17 17 0.08 B 1 ✓ 1.88 ✓ 1.88 0.83 C 1 x x x D 1 ✓ 13.08 13.08 ✓ x AB L ✓ 3.42 ✓ 3.42 ✓ 1.526 AC 1 ✓ 25 25 ✓ 11 AD 1 95 95 43 BC 1 ✓ 75 ✓ 75 34 BD 1 78 ✔ 78 34 CD 1 · x x x ABC 1 ✓ 0.01 0.01 0.01 ABD 1 ✓ 72 ✓ 72 ✓ 32 ACD 1 ✓ 62 ✔ 62 ✓ 27 BCD 1 1.76 1.76 8 ABCD 1 0 0 ✓ 0 Error 16 ✓ x 2.25 Total 31 x
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:In a study of processes used to remove impurities from cellulose goods, the following data resulted from a 24 experiment involving the desizing process. The four factors were enzyme concentration (A), PH (B), temperature (C), and time (D).
Starch %
by Weight
Treatment
Enzyme Temp. Time
(g/L) pH (°C)
(hr)
1st 2nd
Repl. Repl.
(1)
0.50 6.0 60.0
6
9.72 13.50
a
0.75
6.0 60.0
6
9.80 14.04
か
0.50 7.0 60.0
6
10.13 11.27
ab
0.75 7.0
60.0
6
11.84 11.30
с
0.50
6.0
70.0
6
12.70 11.37
ac
0.75
6.0
70.0
6
11.96 12.05
bc
0.50
7.0 70.0
6
11.38 9.92
abc
0.75
7.0 70.0
6
11.80 11.14
d
0.50
6.0 60.0
8
13.15 13.00
ad
0.75
6.0
60.0
8
10.60 12.37
bd
0.50
7.0
60.0
8
10.37 12.00
abd
0.75
7.0
60.0
8
11.30 11.64
cd'
0.50
6.0 70.0
8
13.05 14.55
acd
0.75
6.0 70.0
8
11.17 15.00
bcd
0.50 7.0 70.0
8
12.70 14.15
abcd
0.75 7.0 70.0 8
13.20 16.12
(a) Use Yates's algorithm to obtain sums of squares and the ANOVA table. (Round your answers to two decimal places.).
Source
df
SS
MS
f
1
A
17
.17
0.081
✓
B
1
1.88
1.88
0.83
C
1
x
×
×
D
1
13.081
13.08
x
AB
1
3.42
3.421
1.526
AC
1
.25
25
.11
AD
1
.95
.95
.43
BC
1
.75
.75
.34
BD
1
.78
.78
.34
CD
1
×
×
×
ABC
1
0.01
0.011
0.011
ABD
1
.72
.72
.321
ACD
1
.62
.62
27
BCD
1
1.76
1.76
.8
ABCD
1
0
0
0
Error
16
×
2.25
Total
31
×
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Step 1: Write the given information.
VIEWStep 2: Compute the effect contrast using Yate's method for all the treatments.
VIEWStep 3: Compute the sum of squares using Yate's method for all the treatments.
VIEWStep 4: Compute mean square error, F value and Anova table for the given scenario.
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