MİNİTAB KULLANIM KLAVUZU VARYANS ANALİZİ 1 TEK FAKTÖR

MİNİTAB KULLANIM KLAVUZU
VARYANS ANALİZİ
TEK FAKTÖR VARYANS ANALİZİ
Kağıt dayanıklılığında kağıt yapılırken kullanılan kalasın yüzdesi etkili midir?
1
MİNİTAB KULLANIM KLAVUZU
Analysis of Variance for strenth
Source
DF
SS
MS
Hardwood
3
382,79
127,60
Error
20
130,17
6,51
Total
23
512,96
F
19,61
VARYANS ANALİZİ
P
0,000
Tukey's pairwise comparisons
Family error rate = 0,0500
Individual error rate = 0,0111
Critical value = 3,96
Intervals for (column level mean) - (row level mean)
5
10
10
-9,791
-1,542
15
-11,124
-2,876
-5,458
2,791
20
-15,291
-7,042
-9,624
-1,376
15
-8,291
-0,042
2
MİNİTAB KULLANIM KLAVUZU
VARYANS ANALİZİ
İKİ FAKTÖR VARYANS ANALİZİ
Bir ürüne yapılan bayoma işleminin kullanım ömrü üzerinde boya çeşiti ve kurutma zamanı
etkili midir?
3
MİNİTAB KULLANIM KLAVUZU
VARYANS ANALİZİ
Two-way ANOVA: strenth of paint versus paint; drying time
Analysis of Variance for strenth
Source
DF
SS
MS
paint
1
347
347
drying t
2
25
13
Interaction
2
1868
934
Error
12
2246
187
Total
17
4487
F
1,85
0,07
4,99
P
0,199
0,935
0,026
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MİNİTAB KULLANIM KLAVUZU
VARYANS ANALİZİ
5
MİNİTAB KULLANIM KLAVUZU
VARYANS ANALİZİ
6
MİNİTAB KULLANIM KLAVUZU
VARYANS ANALİZİ
ÇOK FAKTÖR VARYANS ANALİZİ
Kağıt dayanıklılığı üzerinde kağıt hamuruna katılan kalasın yüzdesi, hamurun pişirilme süresi ve
hamurun serbestlik derecesi etkili midir?
7
MİNİTAB KULLANIM KLAVUZU
VARYANS ANALİZİ
8
MİNİTAB KULLANIM KLAVUZU
VARYANS ANALİZİ
Analysis of Variance for strenth of paper, using Adjusted SS for Tests
Source
hardwood concentration
cooking time
freeness
hardwood concentration*cooking time
hardwood concentration*freeness
cooking time*freeness
hardwood concentration*cooking time*
freeness
Error
Total
Source
hardwood concentration
cooking time
freeness
hardwood concentration*cooking time
hardwood concentration*freeness
cooking time*freeness
hardwood concentration*cooking time*
freeness
Error
Total
DF
2
1
2
2
4
2
4
Seq SS
8,3750
17,3611
21,8517
3,2039
6,5133
1,0506
2,0844
Adj SS
8,3750
17,3611
21,8517
3,2039
6,5133
1,0506
2,0844
Adj MS
4,1875
17,3611
10,9258
1,6019
1,6283
0,5253
0,5211
18
35
9,9800
70,4200
9,9800
0,5544
F
7,55
31,31
19,71
2,89
2,94
0,95
0,94
P
0,004
0,000
0,000
0,082
0,050
0,406
0,463
9
MİNİTAB KULLANIM KLAVUZU
VARYANS ANALİZİ
Main Effects Plot for strenth of paper
Fitted Means
hardwood concentration
cooking time
99,0
98,5
98,0
Mean
97,5
10
15
freeness
20
350
500
650
1,5
2,0
99,0
98,5
98,0
97,5
Interaction Plot for strenth of paper
Fitted Means
100,5
hardwood
concentration
10
15
20
100,0
99,5
Mean
99,0
98,5
98,0
97,5
97,0
96,5
350
500
freeness
650
10
MİNİTAB KULLANIM KLAVUZU
VARYANS ANALİZİ
Tukey 95,0% Simultaneous Confidence Intervals
Response Variable strenth of paper
All Pairwise Comparisons among Levels of hardwood concentration
hardwood concentration = 10 subtracted from:
hardwood
concentration
15
20
Lower
-1,651
-1,901
Center
-0,875
-1,125
hardwood concentration = 15
hardwood
concentration
20
Lower
-1,026
Upper
-0,0990
-0,3490
-------+---------+---------+--------(----------*-----------)
(----------*----------)
-------+---------+---------+---------1,40
-0,70
0,00
subtracted from:
Center
-0,2500
Upper
0,5260
-------+---------+---------+--------(----------*-----------)
-------+---------+---------+---------1,40
-0,70
0,00
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MİNİTAB KULLANIM KLAVUZU
VARYANS ANALİZİ
2k DENEY TASARIMI
12
MİNİTAB KULLANIM KLAVUZU
VARYANS ANALİZİ
13
MİNİTAB KULLANIM KLAVUZU
VARYANS ANALİZİ
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MİNİTAB KULLANIM KLAVUZU
VARYANS ANALİZİ
Analysis of Variance for C8 (coded units)
Source
Main Effects
2-Way Interactions
3-Way Interactions
Residual Error
Pure Error
Total
DF
3
3
1
8
8
15
Seq SS
59,187
9,187
5,062
19,500
19,500
92,937
Adj SS
59,187
9,187
5,062
19,500
19,500
Adj MS
19,729
3,062
5,062
2,437
2,438
F
8,09
1,26
2,08
P
0,008
0,352
0,188
15