MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:ANOVA
Source of Variation
O
Average
Variance
O
Sample
Columns
Interaction
Within
Total
LSD=2.179,
LSD=2.179₁
LSD=2.179,
LSD=2.179,
4.833
3.767
SS
36.75
18.125
20.25
7.5
82.625
2(0.6)
3
2(0.6)
8
2(0.6)
6
2(0.6)
4
5.833
3.767
df
723
6
12
23
7
3.2
MS
18.4
6.0
3.4
0.6
6.833
2.167
F
P-value
F crit
2.37076E-05
3.89
0.001595125 3.49
0.0064547
3.00
Transcribed Image Text:Three different treatments and four different methods are tested for their ability to control acne. What is the value
of the LSD (0.05) for the comparison among method means?
Treatment 1
Treatment 2
Treatment 3
SUMMARY
Treatment 1
Count
Sum
Average
Variance
Treatment 2
Count
Sum
Average
Variance
Treatment 3
Count
Sum
Average
Variance
3
Anova: Two-Factor With Replication
Total
Count
Sum
Average
Variance
Method 1
5
6
7
ANOVA
Source of Variation
Sample
6
2
Method 1
2
11
5.5
0.5
2
13
6.5
0.5
2
5
2.5
0.5
6
29
4.833
3.767
Method 2
6
SS
36,75
7
8
7
3
4
Method 2
2
13
6.5
0.5
2
15
7.5
0.5
2
7
3.5
0.5
6
35
5.833
3.767
df
2
Method 3
7
8
9
8
4
6
Method 3
2
15
7.5
0.5
2
17
8.5
0.5
2
10
5
2
6
42
7
3.2
MS
18.4
Method 4
8
9
6
5
6
7
Method 4
2
17
8.5
0.5
2
11
5.5
0.5
2
13
6.5
0.5
6
41
6.833
2.167
F
Total
8
56
7
1.714
8
56
7
1.714285714
8
35
4.375
3.125
P-value
2:370761-05
F crit
3.89
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