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Как получить бимодальное распределение?
Приложения к статье Как получить бимодальное распределение? Часть 2
SixSigmaOnline.ru 2015
© Six Sigma Online . ru
ПРИЛОЖЕНИЕ 1
3210-1-2-3-4-5
99,99
99
95
80
50
20
5
1
0,01
Pe
rce
nt
Mean -1,055
StDev 1,000
N 1000
AD 0,520
P-Value 0,186
Probability Plot of C1Normal
543210-1-2-3-4
99,99
99
95
80
50
20
5
1
0,01P
erc
en
t
Mean 0,4928
StDev 0,9957
N 1000
AD 0,210
P-Value 0,860
Probability Plot of C2Normal
1,60,8-0,0-0,8-1,6-2,4-3,2
Median
Mean
-1,000-1,025-1,050-1,075-1,100-1,125-1,150
1st Q uartile -1,7297
Median -1,0674
3rd Q uartile -0,3565
Maximum 1,8009
-1,1167 -0,9925
-1,1523 -0,9948
0,9584 1,0463
A -Squared 0,52
P-V alue 0,186
Mean -1,0546
StDev 1,0004
V ariance 1,0009
Skewness 0,072034
Kurtosis -0,298949
N 1000
Minimum -3,8114
A nderson-Darling Normality Test
95% C onfidence Interv al for Mean
95% C onfidence Interv al for Median
95% C onfidence Interv al for StDev95% Confidence Intervals
Summary for C1
43210-1-2
Median
Mean
0,600,550,500,450,40
1st Q uartile -0,17370
Median 0,50052
3rd Q uartile 1,18451
Maximum 3,88402
0,43098 0,55455
0,41010 0,59867
0,95389 1,04137
A -Squared 0,21
P-V alue 0,860
Mean 0,49277
StDev 0,99570
V ariance 0,99142
Skewness -0,0088845
Kurtosis -0,0730612
N 1000
Minimum -2,74928
A nderson-Darling Normality Test
95% C onfidence Interv al for Mean
95% C onfidence Interv al for Median
95% C onfidence Interv al for StDev95% Confidence Intervals
Summary for C2
С1
μ = -1
σ = 1
С2
μ = 0.5
σ = 1
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ПРИЛОЖЕНИЕ 1
С4
μ = 1
σ = 1
С6
μ = 1.5
σ = 1
43210-1-2
Median
Mean
1,1001,0751,0501,0251,0000,9750,950
1st Q uartile 0,3223
Median 1,0104
3rd Q uartile 1,7018
Maximum 4,0977
0,9642 1,0875
0,9409 1,0775
0,9518 1,0391
A -Squared 0,28
P-V alue 0,650
Mean 1,0259
StDev 0,9936
V ariance 0,9872
Skewness 0,055846
Kurtosis -0,121432
N 1000
Minimum -2,2579
A nderson-Darling Normality Test
95% C onfidence Interv al for Mean
95% C onfidence Interv al for Median
95% C onfidence Interv al for StDev
95% Confidence Intervals
Summary for C4
543210-1-2-3
99,99
99
95
80
50
20
5
1
0,01
Pe
rce
nt
Mean 1,026
StDev 0,9936
N 1000
AD 0,278
P-Value 0,650
Probability Plot of C4Normal
43210-1-2
Median
Mean
1,601,551,501,451,40
1st Q uartile 0,8526
Median 1,4670
3rd Q uartile 2,1610
Maximum 4,8626
1,4614 1,5836
1,3665 1,5747
0,9434 1,0299
A -Squared 0,81
P-V alue 0,037
Mean 1,5225
StDev 0,9847
V ariance 0,9696
Skewness 0,071745
Kurtosis 0,197528
N 1000
Minimum -1,9848
A nderson-Darling Normality Test
95% C onfidence Interv al for Mean
95% C onfidence Interv al for Median
95% C onfidence Interv al for StDev
95% Confidence Intervals
Summary for C6
6543210-1-2-3
99,99
99
95
80
50
20
5
1
0,01P
erc
en
t
Mean 1,522
StDev 0,9847
N 1000
AD 0,806
P-Value 0,037
Probability Plot of C6Normal
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ПРИЛОЖЕНИЕ 1
С8
μ = 4
σ = 1
9876543210
99,99
99
95
80
50
20
5
1
0,01
Pe
rce
nt
Mean 3,993
StDev 0,9812
N 1000
AD 0,427
P-Value 0,312
Probability Plot of C8Normal
87654321
Median
Mean
4,0504,0254,0003,9753,9503,9253,900
1st Q uartile 3,3899
Median 3,9685
3rd Q uartile 4,6271
Maximum 8,0071
3,9316 4,0534
3,9129 4,0257
0,9400 1,0262
A -Squared 0,43
P-V alue 0,312
Mean 3,9925
StDev 0,9812
V ariance 0,9628
Skewness 0,123680
Kurtosis 0,333696
N 1000
Minimum 0,7149
A nderson-Darling Normality Test
95% C onfidence Interv al for Mean
95% C onfidence Interv al for Median
95% C onfidence Interv al for StDev
95% Confidence Intervals
Summary for C8
© Six Sigma Online . ru
ПРИЛОЖЕНИЕ 2
C11 = C1 + C1
С22 = C2 + C2
43210-1-2-3-4
200
150
100
50
0
Fre
qu
en
cy
Mean -1,055
StDev 1,000
N 2000
Histogram of С1+С1Normal
43210-1-2
200
150
100
50
0
Fre
qu
en
cy
Mean 0,4928
StDev 0,9955
N 2000
Histogram of C2+C2Normal
543210-1-2-3-4
99,99
99
95
80
50
20
5
1
0,01
Pe
rce
nt
Mean 0,4928
StDev 0,9955
N 2000
AD 0,423
P-Value 0,320
Probability Plot of C2+C2Normal
3210-1-2-3-4-5
99,99
99
95
80
50
20
5
1
0,01
Pe
rce
nt
Mean -1,055
StDev 1,000
N 2000
AD 1,046
P-Value 0,009
Probability Plot of С1+С1Normal
2000180016001400120010008006004002001
2
1
0
-1
-2
-3
-4
С1
+С
1
Time Series Plot of С1+С1
2000180016001400120010008006004002001
4
3
2
1
0
-1
-2
-3
C2
+C
2
Time Series Plot of C2+C2
© Six Sigma Online . ru
ПРИЛОЖЕНИЕ 2
C3 = C1 + C2
С5 = C1 + C4
5,02,50,0-2,5-5,0
99,99
99
95
80
50
20
5
1
0,01
Pe
rce
nt
Mean -0,2809
StDev 1,263
N 2000
RJ 0,999
P-Value <0,010
Probability Plot of C3Normal
5,02,50,0-2,5-5,0
99,99
99
95
80
50
20
5
1
0,01
Pe
rce
nt
Mean -0,01435
StDev 1,441
N 2000
AD 3,355
P-Value <0,005
Probability Plot of C5Normal
2000180016001400120010008006004002001
4
3
2
1
0
-1
-2
-3
-4
С1
+С
2
Time Series Plot of С3
2000180016001400120010008006004002001
5
4
3
2
1
0
-1
-2
-3
-4
С1
+С
4
Time Series Plot of С5
3,62,41,20,0-1,2-2,4-3,6
120
100
80
60
40
20
0
Fre
qu
en
cy
Mean -0,01435
StDev 1,441
N 2000
Normal
Histogram of С5
43210-1-2-3
140
120
100
80
60
40
20
0
Fre
qu
en
cy
Mean -0,2809
StDev 1,263
N 2000
Normal
Histogram of С3
© Six Sigma Online . ru
ПРИЛОЖЕНИЕ 2
C7 = C1 + C6
С9 = C1 + C8
7,55,02,50,0-2,5-5,0
99,99
99
95
80
50
20
5
1
0,01
Pe
rce
nt
Mean 0,2340
StDev 1,627
N 2000
RJ 0,993
P-Value <0,010
Probability Plot of C7Normal
1050-5-10
99,99
99
95
80
50
20
5
1
0,01
Pe
rce
nt
Mean 1,469
StDev 2,712
N 2000
AD 76,359
P-Value <0,005
Probability Plot of C9Normal
2000180016001400120010008006004002001
5,0
2,5
0,0
-2,5
-5,0
С1
+С
6
Time Series Plot of С7
2000180016001400120010008006004002001
7,5
5,0
2,5
0,0
-2,5
-5,0
С1
+С
8
Time Series Plot of С9
4,83,62,41,20,0-1,2-2,4-3,6
120
100
80
60
40
20
0
Fre
qu
en
cy
Mean 0,2340
StDev 1,627
N 2000
Normal
Histogram of С7
86420-2-4
180
160
140
120
100
80
60
40
20
0
Fre
qu
en
cy
Mean 1,469
StDev 2,712
N 2000
Normal
Histogram of С9
