正交试验设计常用正交表

4(1)L〔23〕4任意两列间的交互(2)L8(27)L8(27二列间的交互

1 2 3列

作用为另外一列。作用表L(27) 试验 号 表头8 号1 1设计 1 2 3列 2 1试验 号号1 1 1 13 22 1 1 14 23 1 2 24 1 2 25 2 1 26 2 1 27 2 2 18 2 2 1

1 14 5 6 72 21 1 1 11 22 2 2 22 11 1 2 22 2 1 11 2 1 22 1 2 11 2 2 12 1 1 21列列 号号

23

321〔3〕

4657〔4〕

54761

674523〔6〕

7654321〔7〕号1234567ABA×BCA×CB×C列因子数34AB列因子数34ABCB×CA×DD4ABCD×A×BCBD×A×CDBC×A×D5AD×EBC×DCDA×EB×CEA×D列试验 号L(4×24) 表 号

1 2 3

4 5 头设计81 1 2 1 3 2 4 2 5 3 6 3 7 4 8 4

1 1 12 2 21 2 22 1 12 1 21 2 12 2 11 1 2列子因 号 1子数

2 3B(A×BB)1

4(A×B)2

5(A×B)3A B CA A

C DC D E(4)L12(211)(5) L16L16(215二列1试验1试验号 23列

(215)11234567891011 1415161718191101111415试验 1

1111111111111212122 2 2 1 1211111112121221212122222311112221222211121212222411112222212222212211115122112122221121221211226122211122221212212122117122221221112121221221181222212112122221121122912212221121112112212121012212211221221121122211112222112112112211221211221221212121121213221122112211221142211221211221121522121121221211216221211221121221互作用表123456789101112131415(132547698111013121514)(2164510118914151213)(3765411109815141312)(412312131415891011)(5)3213121514981110(6)114151213101189(7)15141312111098(81234567)(9325476)(10)16745(176541)(12)123(13)3215131×B15131×B21×C11×C1D×B9D×AD×AD×AE×B×E×BDFACE×BF×C8DDDDD7E×H654321号列数子因E ××××××CBCBCABAAGGEFFF× ×××××××C CACACAAAEEEED×D×ED××E×DG××E×G×BBABABCACD×BBBEBEBDED×AAADADAEDECCCCCB×AB×AB×AEB××DAE×DBG××AFE×DG×FBBBBBAAAAA45678(6)L16(4×212)L16(4×212)表头设计1列 123456789

111试验 号号

0123111111111111112111112222222231222211112222412222222211115211221122112262112222112211722211112222118222112211112293121212121212103121221212121113212112122121123212121211212134122112211221144122121122112154211212212112164211221121221列因子号 1 2因子数3 A B

3(A×B)1

4(A×B)2

5 6C(A×CB)3

7(A×C)144AB5AB(A×B)CD(A×B)1(A×B)2(A×B)(A×B)3(A×CC(A×C)BD(A×C)BD列因子数C)B×E(A×C×DCEB)3号89101112133(A×C)(A×B×C452(A×C)2(A×C)23(A×C)3(A×C)3(A×D)BC(A×D)1E)DD(A×E)3(A×D)3E(A×D)3(A×D)2(A×E)(A1D)2(7)L16(42×29)2(8)L16(43×26)(9) L16(10) L16列 1验试 号验号 列

(44×23)11 (45)901试 号验号1

111

3

111133556133556781234567

1111111号1 列

11111112试验2 2

号号1122121112

11222212222222212233 1213322222223223 13

2111223321244 13144

3

21114224 14

2222114422155 2421222441225 1266 25226

122121222

212322214

221222121211121121277 26234

1

22113217 23

1122214112288 2724314121224218 24

1211123211199 38313

2

22121219 31

221221341221010

39324

3

1121102211032

212112431111111

310331

4

212112121313

11 3113312 4124413

12334123412241

12122112121242

12122211121212122122122212212121414

413423

4

2112142221442

111211312211515

414432

2

1112153111543

222111241111616

415441

2

222116411164416 4

211222131224132(11)L16(8×28)列试验 1

12345678911111111121222222223211112222422222111153112211226322112211741122221184221111229512121212105212121211161212212112621211212137122112211472112211215812212112168211212211111111111111234567890123456789试 号验号1111111111111111111122211222212121111221321122221212111122124112222121211112212251222212121111221221622221212111122122117222121211112212211282212121111221221122(12)L20(219)(13)L9(34)号试验试验号(14)L号试验试验号1234123列号1 141516781号1111111112122221122222231333311333333421234121122335223151222331162312612331122731327131213238321381323213193321913313212102113322111212113321221322113132212313214222312131522312321162313231217232131231823321231(15)L27(313)列试列试111验号1号1234567890123(313表11111111111111头设计2111122222222231111333333333412221112223335122222233311161222333111222713331113332228133322211133391333333222111102113123123123112123231231231122133312312312132211123231312142221231312123152231312123231162312123312231172322231123312182332312231123193132132132132203132213213213213132321321321223213132213321233213213321132243213321132213253321132321213L27列因列因子号数1234567(A×列因子数3(B×C)(B×D1(A×D)1(B×C)2(B×D)1(C×D)14(AC)1D)(A×D)1(B×C)2222号89101112133AB(A×B)(A×B)C(A×C)(A×C)4AB1(A×B)(C1D)2(A×B)2C1C)(B1D)2(A×C)21212345678910111213(1322655988121111作用表)44377610109131312(2118910567567)431112131112138910(319108756675)21311121213111089(41089675756)1213111311129108(511234243)761113128109(61423324)51312111098(7342432)1211139810(811234)109576(91423)8765(13420)657(1111)1312(112)11L27(313)(16)L25

(56)1123456试列11111验号1号2122222313333341444445155555621234572234518234512924512310251234113135241232413513335241143413521535241316414253174253141843142519442531204531422151543222521543235321542454321525554321(17)L32(231)1212212112211212211221211221121221122121121221211212212112122121121221122121122112122112212112211212211221122112211221122112211221121221212121121212122121212112121212212112122121121221211212212112121212212121211212121221212121121212121212121212121212121212121122221122111122112222112211112211222211112211221