正交实验的设计四因素三水平

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1、(7)A1B3C3 (8)A2B3C1 (9)A3B3C2试验号试验号因素因素液化率液化率A AB BC CD D1 11 11 11 11 10 02 21 12 22 22 217173 31 13 33 33 324244 42 21 12 23 312125 52 22 23 31 147476 62 23 31 12 228287 73 31 13 32 21 18 83 32 21 13 318189 93 33 32 21 14242K14141131346468989K28787828271714646K36161949472725454k113.713.74.34.315.3

2、15.329.729.7k229.029.027.327.323.723.715.315.3k320.320.331.331.324.024.018.018.0极差极差R15.315.327.027.08.78.714.314.3主次顺序主次顺序BADC优水平优水平A2B3C3D1优组合优组合A2B3C3D1湿面筋（）A改良剂用量（）B油炸时间（s）C 油炸温度（）D1280.05701502320.075751553360.180160水平试验因素ABCD脂肪（）水分（）复水时间（s）1(28)1(0.05)3(80)2(155)24.82.13.512(0.075)1(70)1(150)2

3、2.53.83.713(0.10)2(75)3(160)23.62.03.02(32)12123.82.83.0223322.41.72.2231219.32.72.83(36)11318.42.53.0322219.02.02.7333120.72.33.6K170.967.060.267.0K265.563.966.463.1K358.163.667.964.4k123.622.320.122.3k221.821.322.121.0k319.421.222.621.5极差R 4.31.12.61.3K17.97.49.08.9K27.27.56.86.8K36.87.06.16.2k12.

4、62.53.03.0k22.42.52.32.3k32.32.32.02.1极差R 0.40.21.00.9K110.29.59.510.3K28.08.68.79.0K39.39.49.38.2k13.43.23.23.4k22.72.92.93.0k33.13.13.12.7极差R 0.70.30.30.7试验因素脂肪水分试验号复水时间123456789rdRR 水平数m2345678910折算系数d0.710.520.450.40.370.350.340.320.31因素主次顺序为因素主次顺序为ABACBBC，表，表明明AB交互作用、交互作用、A因素影响最大，因素因素影响最大，因素C影影

5、响次之，因素响次之，因素B影响最小。优组合为影响最小。优组合为A2B1C1。空列（误差）因素SSSSSST空列（误列（因素Tdfdfdf误差误差误差因素因素因素dfSSMSdfSSMS ，误差因素因素MSMSF9T-KKK31 9y9.y2y1y9y8y7y6y5y4y3y2y131SS22322212222A）（修正项）（）（）（）（CTQSSr1QCTQSSxQnT CTxTjjijTTniiT2niim12ij121K nxxSSn1i2in1i2iT）（），（）（k.21j nxKr1SSn1i2im1i2ijj），（）（k.21j K-K n1SS22j1jjn-1dfT为因素水平个

6、数，m j1mdf58.65TmiijjCTKrss12186.477958.6522nTCT4.4586.477)56.97684.34438.248(31)312212112(31CTKKKssA7.2224.45AAAdfSSV155.0231.0CCCdfSSV23.3249.6BBBdfSSV415.0283.0eeedfSSV314334.17 89.2224.4604.9625.2024.3212）（1A1AdfdfSSSS2281）（）（2j1j2j1jj-KK-KKn1SS762.0551.0211.0 551.04.105.1281 211.08.102.1281 781.

7、07.122.1081 542223CSSSSSSeSSSS SSSSSS54空列）（）（）（同理211 11254dfdfdfedfdfCB11122nsdfnsTxSSTnistitTnistitxT1111122mdfnsTKrsSSjmjijj21SSeSSeSSe21dfedfedfe)1()(121211122sndfxsxSSestijninistitedfeSSeMSe 222dfeSSeMSe8.762.199.185.192.19.8.802.256.215.145.192.552.195.175.126452111KKKmjijmjijmjijjKKnsTKrsSS121

8、2212269.1912121316303341199.4969.1912)25.6320.04.3047(1211 SSSSA表头设计ABCD空列处理号 12345和1111112226.021222244.5412.53133335.56617.541444466.56.719.25212346.36.56.719.56221435.14.84.614.572341277.47.221.682432188.58.725.293134277.17.321.410324318.48.58.925.811331246.56.36.118.9123421377.37.121.4134142354.

9、54.714.2144231466.56.719.215432418.58.58.725.7164413276.56.920.4K1j55.261.159.868.282.7K2j80.87279.170.875.9K3j87.583.783.383.267.6K4j79.586.280.880.876.8K1j23047.043733.213576.044651.246839.29K2j26528.6451846256.815012.645760.81K3j27656.257005.696938.896922.244569.76K4j26320.257430.446528.646528.64

10、5898.24试验指标01.231.204832.2050)4.20.5.126(31)9.6.22()(312222223121611613122 tijiititexxSS66.1101.265.921eeeSSSSSS3532321eeedfdfdf因素因素因素dfSSMS33.0S 14.11 66.16399.49MSe 4.51 M9.67MSMSdfSSMSDCBAAA同理：变异来源 平方和 自由度 均方 F值 Fa显著水平 A49.99316.6650.48F0.05(3,35)=2.88*B33.42311.1433.76F0.01(3,35)=4.40*C29.0139.6

11、729.3*D13.5434.5113.67*误差e19.653重复误差e2 2.0132误差e11.6635总和 137.634721eeeSSSSSS21eeedfdfdf11-21-231-21-411-2 314）（）（，CBCABADCBdfdfdfdfdfdfdfA13132133Tdf)24(12116L)24(12116L)24(12116L)24(12116L15162L因 素ABCBCD空列空列试验号构构造造的的新新列列第4列 第5列 第6列 第7列 第8列 第9列 第10列 第11列 第12列 第13列 第14列 第15列 11 11111111111110.4121 1

12、1111222222220.2531 12222111122220.3741 12222222211110.3052 21122112211220.1362 21122221122110.2572 22211112222110.0882 22211221111220.3193 31212121212120.34103 31212212121210.58113 32121121221210.39123 32121212112120.51134 41221122112210.29144 41221211221120.48154 42112122121120.35164 42112211212210

13、.44K1j1.332.732.732.762.722.3632.993.072.732.952.722.74K2j0.772.752.752.722.763.122.482.492.412.752.532.762.74K3j1.82K4j1.56SSj1.5E-012.0E-053.0E-051.0E-041.0E-043.6E-021.7E-021.6E-022.7E-023.0E-051.1E-021.0E-040.0ABAC试验结果变异来源 平方和 自由度 均方 F值 显著水平 A0.1530.051.3E+03*B0.00002512.5E-05AB0.00022537.5E-052

14、.0E+00C0.036113.6E-029.5E+02*AC0.059732.0E-025.2E+02*BC0.00002512.5E-05D0.01111.1E-022.9E+02*误差e0.000125.0E-05误差e0.0001543.8E-05总和 0.257ABC试验号12 234111 11190.5212 22290313 23395421 12385522 23192623 21275731 132100832 21380933 22190K1j275.5275.5 275.5245.5272.5K2j252.0262.0 522265.0265.0K3j270.0260.

15、0260.0287.0260.0k1j91.891.8 91.881.890.8k2j84.087.3 8788.388.3k3j90.086.795.786.7调整R 7.84.813.94.1优水平A1B1C3优组合主次顺序C A B试验号因素试验结果A1B1C39)(6139632232222122222212 2TKKKTKKSSSSB9333 22322222122 2TKKKSSSS则23222 2)(61 KKSS令9333 22322222122TKKKSS因为2 22 SSSSSS故26.4 287.4 7.1009)(3122312212111同理4空列3CASSSSSSSSTKKKSSSS31221-3 2空列dfdfdfedfdfdf空列BA