ANOVA Source of Variation Sample Columns Interaction Within Total LSD=2.179, SS 36.75 18.125 20.25 7.5 LSD=2.179, 82.625 2(0.6) 3 2(0.6) LSD=2.179₁ 8 2(0.6) 6 df 4236 12 23 MS 18.4 6.0 3.4 0.6 F F crit P-value 2.37076E-05 3.89 0.001595125 3.49 0.0064547 3.00

MATLAB: An Introduction with Applications
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Publisher:Amos Gilat
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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: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
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
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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