Three different treatments and four different methods are tested for their ability to control acne. What is the statistic for treatment and can you conclude that any treatments work better than others at the 5% significanc level. Method 1 Method 2 Method 3 Method 4
Three different treatments and four different methods are tested for their ability to control acne. What is the statistic for treatment and can you conclude that any treatments work better than others at the 5% significanc level. Method 1 Method 2 Method 3 Method 4
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Find the test statistic and conclusion
![Sum
Average
Variance
Treatment 2
Count
Sum
Average
Variance
Treatment 3
Count
Sum
Average
Variance
Total
Count
Sum
Average
Variance
ANOVA
Source of Variation
Sample
Columns
Interaction
Within
Total
test statistic
conclusion
5.5
0.5
2
13
6.5
0.5
2
9
4.5
0.5
6
33
5.5
1.1
SS
562.58
1113.83
1852.42
4333.00
7861.83
6.5
0.5
2
15
7.5
0.5
2
15
7.5
0.5
6
43
7.167
0.5667
df
2
3
6
12
23
7.5
0.5
2
17
8.5
0.5
2
101
50.5
4324.5
6
133
22.167
1346.967
MS
281
371
309
361
[Choose ]
[Choose]
7
2
2
14
7
2
2
13
6.5
0.5
F
6
41
6.833
0.967
6.625
1.125
8
59
7.375
1.125
8
138
17.25
1040.5
P-value
0.4807
0.4147
0.5531
F crit
3.89
3.49
3.00](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4eeb722f-cbfc-4759-9280-7bcb5946c98a%2Fcda030a7-52db-4eb2-a277-a058b2d70314%2Fsb8n4ug_processed.png&w=3840&q=75)
Transcribed Image Text:Sum
Average
Variance
Treatment 2
Count
Sum
Average
Variance
Treatment 3
Count
Sum
Average
Variance
Total
Count
Sum
Average
Variance
ANOVA
Source of Variation
Sample
Columns
Interaction
Within
Total
test statistic
conclusion
5.5
0.5
2
13
6.5
0.5
2
9
4.5
0.5
6
33
5.5
1.1
SS
562.58
1113.83
1852.42
4333.00
7861.83
6.5
0.5
2
15
7.5
0.5
2
15
7.5
0.5
6
43
7.167
0.5667
df
2
3
6
12
23
7.5
0.5
2
17
8.5
0.5
2
101
50.5
4324.5
6
133
22.167
1346.967
MS
281
371
309
361
[Choose ]
[Choose]
7
2
2
14
7
2
2
13
6.5
0.5
F
6
41
6.833
0.967
6.625
1.125
8
59
7.375
1.125
8
138
17.25
1040.5
P-value
0.4807
0.4147
0.5531
F crit
3.89
3.49
3.00
Transcribed Image Text:Three different treatments and four different methods are tested for their ability to control acne. What is the test
statistic for treatment and can you conclude that any treatments work better than others at the 5% significance
level.
Treatment 1
Treatment 2
Treatment 3
7
6
4
5
Anova: Two-Factor With Replication
SUMMARY
Treatment 1
Count
Sum
Average
Variance
Treatment 2
Count
Sum
Average
Variance
Method 1
5
6
Treatment 3
Count
Sum
Average
Variance
Method 11
2
11
5.5
0.5
2
13
6.5
0.5
2955
Method 2 Method 3 Method 4
6
7
8
7
8
6
8
6
8
6
7
4.5
0.5
7
8
7
Method 2
2
13
6.5
0.5
2
15
7.5
0.5
2
15
7.5
0.5
9
8
4
97
Method 3
2
15
7.5
0.5
2
17
8.5
0.5
2
101
50.5
4324.5
Method 4
2
14
7
2
2
14
7
2
2
13
6.5
0.5
Total
8
53
6.625
1.125
8
59
7.375
1.125
8
138
17.25
1040.5
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