转载来自http://support.sas.com/techsup/technote/ts723_Designs.txt
https://jeffhughlee.blogspot.com/2016/11/blog-post.html
正交试验设计法（简称正交法）是统计数学的重要分支。它是以概率论数理统计、专业技术知识和实践经验为基础!C 充分利用标准化的正交表来安排试验方案，并对试验结果进行计算分析，最终达到减少试验次数，缩短试验周期，迅速找到优化方案的一种科学计算方法。它是产品设计过程和质量管理的重要工具和方法。
优点
采用正交法安排试验方案可以解决以下问题：
可以节省大量人力、物力、财力和时间。
能够明确影响试验指标各因素的主次顺序，即了解哪些因素重要，哪些因素次要。
可以迅速找到优化方案，在产品开发设计中，迅速找到优化方案，可以大大缩短产品开发设计周期；在生产过程中很快找到优化方案，可以尽快使生产工艺按最佳工艺条件运行，早日实现高效益。
通过试验结果分析，可以进一步指明试验的方向，克服盲目性。
2^3 n=4
000
011
101
110
2^4 4^1 n=8
00000
00112
01011
01103
10013
10101
11002
11110
3^4 n=9
0000
0121
0212
1022
1110
1201
2011
2102
2220
2^11 n=12
00010010111
00100101110
00101110001
01001011100
01011100010
01110001001
10001001011
10010111000
10111000100
11000100101
11100010010
11111111111
2^4 3^1 n=12
00000
00111
00112
01002
01010
01101
10001
10012
10100
11011
11102
11110
2^2 6^1 n=12
000
002
004
011
013
015
101
103
105
110
112
114
2^8 8^1 n=16
000000000
000011114
001100112
001111006
010101011
010110105
011001103
011010017
100101107
100110013
101001015
101010101
110000116
110011002
111100004
111111110
4^5 n=16
00000
01111
02222
03333
10123
11032
12301
13210
20231
21320
22013
23102
30312
31203
32130
33021
3^6 6^1 n=18
0000000
0011221
0102212
0120123
0212104
0221015
1002125
1020214
1111110
1122001
1201203
1210022
2012013
2021102
2101024
2110205
2200111
2222220
2^19 n=20
0000110010011110101
0001100100111101010
0010011110101000011
0011001001111010100
0011110101000011001
0100001100100111101
0100111101010000110
0101000011001001111
0110010011110101000
0111101010000110010
1000011001001111010
1001001111010100001
1001111010100001100
1010000110010011110
1010100001100100111
1100100111101010000
1101010000110010011
1110101000011001001
1111010100001100100
1111111111111111111
2^8 5^1 n=20
000000000
000010111
000110002
000111113
001101014
010001003
011001102
011010014
011100110
011111101
100101104
101000113
101011012
101011100
101100001
110001011
110010104
110100112
110111010
111110003
2^2 10^1 n=20
000
002
004
006
008
011
013
015
017
019
101
103
105
107
109
110
112
114
116
118
2^20 4^1 n=24
000100101100010010110
000100101111101101002
001001011100100101111
001001011111011010003
001011100000101110000
001011100011010001112
010010111001001011101
010010111010110100013
010111000101011100011
010111000110100011103
011100010001110001000
011100010010001110112
100010010101110110102
100010010110001001010
100101110001101000113
100101110010010111001
101110001001000111013
101110001010111000101
110001001000111011012
110001001011000100100
111000100100011101103
111000100111100010011
111111111100000000002
111111111111111111110
2^13 3^1 4^1 n=24
000000000000000
000100101101122
000111011011021
001001011100013
001011100001112
001110110110100
010001110111101
010010111000123
010111000101003
011010001110111
011100010010022
011101101011010
100010010111012
100011101110020
100101110010113
101000111001001
101101000100121
101110001011103
110001001010102
110100011101110
110110100000011
111000100111023
111011010001120
111111111100002
2^12 12^1 n=24
000010010111 6
000100101110 5
000101110001 2
001001011100 4
001011100010 1
00111000100110
010001001011 7
010010111000 3
01011100010011
011000100101 8
011100010010 9
011111111111 0
100000000000 0
100011101101 9
100111011010 8
10100011101111
101101000111 3
101110110100 7
11000111011010
110100011101 1
110110100011 4
111010001110 2
111011010001 5
111101101000 6
2^11 4^1 6^1 n=24
0000000000000
0001001011024
0001110110015
0010010111132
0010111000022
0011101101101
0100011101011
0100101110134
0101110001130
0110100011013
0111000100125
0111011010103
1000100101123
1000111011105
1001011100033
1010001110110
1011010001114
1011100010031
1100010010121
1101000111002
1101101000112
1110001001035
1110110100004
1111111111020
5^6 n=25
000000
012341
024132
031423
043214
104324
111110
123401
130242
142033
203143
210434
222220
234011
241302
302412
314203
321044
333330
340121
401231
413022
420313
432104
444440
3^9 9^1 n=27
0000000000
0001112221
0002221112
0120120123
0121202014
0122011205
0210210216
0211022107
0212101028
1020212108
1021021026
1022100217
1110002222
1111111110
1112220001
1200122015
1201201203
1202010124
2010121204
2011200125
2012012013
2100211027
2101020218
2102102106
2220001111
2221110002
2222222220
2^27 n=28
000000000000000000000000000
000011001111110010110010110
000111111000101111100011000
001001100101101100010111011
001010010110001011111001011
001100011001110011001110011
001101101010010101011001110
010010101001011011010101101
010100000110101111011110100
010101010100010110100101111
010110100011111100101000011
011001011011101000101101100
011010111100010100111110000
011111110111000001000010101
100001101111000111101100001
100011110100111001001100110
100100111010001000110110111
100110011101100100011001101
101010000010110101100111101
101100100101011010101011100
101111010011011110010100000
110000011111011101000011010
110001110010110010011011001
110111000001000001111111010
111000110001100111110000110
111011001000001110001010111
111101001100111001110000001
111110101110100010000101010
2^12 7^1 n=28
0000000000000
0000001111110
0001101001013
0001110110004
0010011010105
0010110111016
0011111001102
0100110011101
0101010100115
0101011101006
0110100100112
0110101010014
0111000011103
0111001100011
1000110100113
1001011010012
1001101110101
1010010001011
1010101101005
1011000010116
1011000101104
1100000111002
1100011001114
1100101000106
1101100011015
1110011110003
1111110000000
1111111111110
2^2 14^1 n=28
00 0
00 2
00 4
00 6
00 8
0010
0012
01 1
01 3
01 5
01 7
01 9
0111
0113
10 1
10 3
10 5
10 7
10 9
1011
1013
11 0
11 2
11 4
11 6
11 8
1110
1112
2^16 16^1 n=32
0000000000000000 0
0000000011111111 8
0000111100001111 4
000011111111000012
0011001100110011 2
001100111100110010
0011110000111100 6
001111001100001114
0101010101010101 1
0101010110101010 9
0101101001011010 5
010110101010010113
0110011001100110 3
011001101001100111
0110100101101001 7
011010011001011015
100101100110100115
1001011010010110 7
100110010110011011
1001100110011001 3
101001010101101013
1010010110100101 5
1010101001010101 9
1010101010101010 1
110000110011110014
1100001111000011 6
110011000011001110
1100110011001100 2
111100000000111112
1111000011110000 4
1111111100000000 8
1111111111111111 0
4^8 8^1 n=32
000000000
001133221
012301232
013232013
020213134
021320315
032112306
033021127
102323103
103210322
110022331
111111110
122130037
123003216
130231205
131302024
202031314
203102135
210330126
211203307
222222220
223311001
230123012
231010233
300312217
301221036
312013025
313120204
320101323
321032102
332200111
333333330
2^35 n=36
00000000000000000000000000000000000
00001001100001011011110001011111011
00001110000010101111111111011000100
00011100000101111000101110100011111
00101010101111010111001010110001010
00110111011001010100111000011001101
00110111100000100111000100110110111
00110111101110011000100111001100010
00111000011110100001110100111111000
01000001111100011110110110110010100
01000110011101001001001001111110110
01001111011110100110100001000011011
01010100101011110101010011101010001
01011101110011001110001100101101000
01100010010010111010010010101101111
01101011101001100000011111000111100
01110000010101000111111111000100011
01111001110110111001001001010000101
10000010111000111101101101100101001
10001011010111010101000110001110101
10010000111010000010001111011011111
10011001001100110110011001101100110
10011110111101101010010010010100001
10100101001111001011010101100001101
10100101010011110010101011110110000
10100101110100101101011010001011010
10111010110011001100110001100010110
11000011100111100000111100111000011
11010001001011101101100010010101110
11010110100110010011111000000111100
11011111010000010001010111110001010
11101100001010011100011100010110011
11101100100100000100100011111101101
11101100111001110011100100001000110
11110010000101111110000101011011000
11111011001000001011101010101010001
2^27 3^1 n=36
0000000000000000000000000000
0000000000111011011110110102
0000000001110110100111011011
0001110110100011100011101102
0001110110110100011101000110
0001110111011010001000111011
0011101100001110110100011101
0011101101010001111011010002
0011101101101101000110100010
0100011100011101101101101002
0100011101000111011010001110
0100011101101000110001110111
0110100010011101100001110110
0110100011000111011101101001
0110100011101000111010001112
0111011010000000000111011012
0111011010111011010000000001
0111011011110110101110110100
1000111010001110110110100012
1000111011010001110100011100
1000111011101101001011010001
1010001110100011101000111010
1010001110110100010011101101
1010001111011010001101000112
1011010000011101101010001111
1011010001000111010001110112
1011010001101000111101101000
1101000110001110111011010000
1101000111010001110110100011
1101000111101101000100011102
1101101000100011101101000111
1101101000110100011000111012
1101101001011010000011101100
1110110100000000001110110101
1110110100111011010111011010
1110110101110110100000000002
2^20 3^2 n=36
0000000000000000000000
0000000000111011011120
0000000001110110101011
0001110110100011101022
0001110110110100010102
0001110111011010000111
0011101100001110110010
0011101101010001111021
0011101101101101001100
0100011100011101100022
0100011101000111010101
0100011101101000111112
0110100010011101101102
0110100011000111010012
0110100011101000110121
0111011010000000001021
0111011010111011010010
0111011011110110101100
1000111010001110111120
1000111011010001110000
1000111011101101001011
1010001110100011100101
1010001110110100011012
1010001111011010000122
1011010000011101100111
1011010001000111011122
1011010001101000110002
1101000110001110111001
1101000111010001111110
1101000111101101000020
1101101000100011100112
1101101000110100010121
1101101001011010001002
1110110100000000001110
1110110100111011011001
1110110101110110100020
2^18 3^1 6^1 n=36
00000000000000000004
00000000001110110125
00000000011101101013
00011101101000111022
00011101101101000100
00011101110110100011
00111011000011101115
00111011010100011124
00111011011011010003
01000111000111011020
01000111010001110101
01000111011010001112
01101000100111011002
01101000110001110110
01101000111010001121
01110110100000000023
01110110101110110114
01110110111101101005
10001110100011101123
10001110110100011105
10001110111011010014
10100011101000111001
10100011101101000112
10100011110110100020
10110100000111011011
10110100010001110122
10110100011010001100
11010001100011101104
11010001110100011113
11010001111011010025
11011010001000111010
11011010001101000121
11011010010110100002
11101101000000000015
11101101001110110103
11101101011101101024
2^16 9^1 n=36
00000010010011001
00000100000101010
00010001111001100
00011110111110111
00100111101110014
00101010101001017
00101100111000103
00111001010100004
00111111000111102
01001001000010113
01001010100100108
01010101011110107
01010111001000018
01011000001111005
01100011011001112
01101101110011015
01110000110100016
01110110100011106
10001011011010006
10001101001101116
10010011100111013
10010111110000115
10011100100000002
10100001110111108
10100010001100105
10110000000010117
10111100011011018
11000000111110012
11000100101011104
11001111110101007
11011010010001114
11100101000000001
11101110010110110
11110110011101003
11111001101101111
11111011101010000
2^13 3^2 6^1 n=36
0000011110010023
0000011110101211
0000011111010105
0001100110111014
0001100111001202
0001100111100120
0011011000101000
0011011001001224
0011011001110112
0101110000000015
0101110000110203
0101110001011121
0110000100001104
0110000100010210
0110000101110022
0110101010101113
0110101011000001
0110101011111225
1000101000000120
1000101000011202
1000101001110014
1010110100111105
1010110101001023
1010110101100211
1011000010010001
1011000010100225
1011000011011113
1100010010101022
1100010011011210
1100010011100104
1101001100111121
1101001101001015
1101001101100203
1111111110000112
1111111110010224
1111111111111000
2^13 6^2 n=36
000000000101105
000010110010051
000100010110032
000110101010144
000111111101045
001000111010123
001011000001021
001101101111052
001110000111110
010001110111114
010010011101122
010101001000011
010101110000000
011001100100143
011010100001034
011011011100150
011100011011003
011111001010135
100011001110013
100011101000102
100101100011120
100111010001133
101000101100030
101000111001015
101011010110004
101100010100141
101101011001154
110000000010155
110001111111131
110010011011040
110100001100024
110110100101053
111001000011042
111110101111101
111110110000112
111111110110025
2^10 3^8 6^1 n=36
0000000000001100114
0000000000112211220
0000000000220022002
0010011111010112122
0010011111121220204
0010011111202001010
0011110001002222003
0011110001110000115
0011110001221111221
0100111010020201011
0100111010101012123
0100111010212120205
0101100111011020020
0101100111122101102
0101100111200212214
0111001100022012215
0111001100100120021
0111001100211201103
1001001011010121213
1001001011121202025
1001001011202010101
1001111100022021124
1001111100100102200
1001111100211210012
1010100110011002201
1010100110122110013
1010100110200221125
1100010101001111005
1100010101112222111
1100010101220000223
1110101001020210100
1110101001101021212
1110101001212102024
1111010010002200222
1111010010110011004
1111010010221122110
2^10 3^1 6^2 n=36
0000011101222
0001011110103
0001100101030
0001101110254
0010000111114
0010011000210
0010110000004
0011010011045
0011100000123
0100000001150
0100010010021
0101000011202
0101100100141
0101111110015
0110011111131
0110101000235
0110101011243
0111111101052
1000001110040
1000110011155
1000110111233
1000111000142
1001110001211
1010101101001
1011000010032
1011001010251
1011001101125
1100000100205
1100101011024
1101001001013
1101011000134
1110010100053
1110100110112
1111010101244
1111110110220
1111111011100
2^9 3^4 6^2 n=36
000000000001144
000000000112200
000000000220022
001001011010113
001001011121235
001001011202051
001111100022014
001111100100130
001111100211252
010011111010102
010011111121224
010011111202040
010100110011031
010100110122153
010100110200215
011110001002223
011110001110045
011110001221101
100010101001155
100010101112211
100010101220033
100111010020241
100111010101003
100111010212125
101100111011020
101100111122142
101100111200204
110101001020250
110101001101012
110101001212134
111001100022005
111001100100121
111001100211243
111010010002232
111010010110054
111010010221110
2^8 6^3 n=36
00000000044
00000000100
00000000222
00010101355
00010101411
00010101533
00111010303
00111010425
00111010541
01001011051
01001011113
01001011235
01100111342
01100111404
01100111520
01111100030
01111100152
01111100214
10011111002
10011111124
10011111240
10100110015
10100110131
10100110253
10101001334
10101001450
10101001512
11001100321
11001100443
11001100505
11010010310
11010010432
11010010554
11110001023
11110001145
11110001201
2^4 3^1 6^3 n=36
00000155
00001112
00002031
00010243
00012302
00012420
00110414
00111335
00112553
01001340
01001504
01010024
01100200
01101013
01102121
01102445
01110532
01111251
10000541
10002234
10011050
10100005
10100323
10101222
10102510
10111144
10111401
11000452
11001433
11010311
11011525
11012103
11012215
11102354
11110130
11112042
2^3 3^9 6^1 n=36
0000001100114
0000112211220
0000220022002
0010002222003
0010110000115
0010221111221
0011010112122
0011121220204
0011202001010
0101020201011
0101101012123
0101212120205
0102011020020
0102122101102
0102200212214
0112022012215
0112100120021
0112211201103
1001010121213
1001121202025
1001202010101
1002022021124
1002100102200
1002211210012
1012011002201
1012122110013
1012200221125
1100001111005
1100112222111
1100220000223
1110002200222
1110110011004
1110221122110
1111020210100
1111101021212
1111212102024
2^3 3^2 6^3 n=36
00000032
00002425
00010314
00012100
00021122
00021333
00101211
00111501
00112044
01000203
01021545
01022051
01100520
01101154
01110452
01112235
01120340
01122413
10000441
10010553
10022250
10101355
10102143
10111430
10120005
10120224
10122512
11001010
11002534
11010115
11011242
11012321
11021404
11102302
11111023
11120131
2^2 3^5 6^2 n=36
000001144
000112200
000220022
001010113
001121235
001202051
002022014
002100130
002211252
010002223
010110045
010221101
011010102
011121224
011202040
012011031
012122153
012200215
100001155
100112211
100220033
101020241
101101003
101212125
102011020
102122142
102200204
110002232
110110054
110221110
111020250
111101012
111212134
112022005
112100121
112211243
2^2 18^1 n=36
00 0
00 2
00 4
00 6
00 8
0010
0012
0014
0016
01 1
01 3
01 5
01 7
01 9
0111
0113
0115
0117
10 1
10 3
10 5
10 7
10 9
1011
1013
1015
1017
11 0
11 2
11 4
11 6
11 8
1110
1112
1114
1116
2^1 3^3 6^3 n=36
0000005
0000415
0002232
0011333
0011520
0021054
0101501
0110423
0112104
0112214
0120352
0120542
0201153
0201240
0212345
0220110
0222021
0222431
1002122
1010141
1010251
1021444
1022300
1022513
1101311
1102043
1102450
1110030
1121135
1121225
1200324
1200534
1211012
1211402
1212555
1220203
3^12 12^1 n=36
000000000000 0
000011221122 1
001100112222 2
001122220011 3
010202122101 4
010220211210 5
012012012012 6
012021100221 7
021212101020 8
021221010102 9
02210120211010
02211002120111
10021201022110
10022110201211
102002121210 9
102020212101 8
111111111111 0
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2^18 15^1 n=60
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2^15 6^1 10^1 n=60
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00 2
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0010
0012
0014
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0020
0022
0024
0026
0028
01 1
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0115
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0127
0129
10 1
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1011
1013
1015
1017
1019
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1023
1025
1027
1029
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1122
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1128
3^12 21^1 n=63
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4^7 8^6 n=64
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