1、bcaabbccabacbc120100207.3372-120-100-43.333314400100001877.781200052004333.33200608.5979-3.333311.114003001108.615646.66672177.78-12000-56004666.671.1005-4016004000-1866.67-4666.679.81741733.3310.0736-4000133.33-333.332.031816025600-16000-533.33333.333.40317466.678.89316000-6933.33-4333.33田口设计 田口正交表
2、设计L9（3*3）因子: 3试验次数: 9列 L9（3*4） 阵列1 2 4逐步回归: r 与 a, b, c, aa, bb, cc, ab, ac, bc 入选用 Alpha: 0.15 删除用 Alpha: 0.15响应为 9 个自变量上的 r，N = 9步骤 1 2 3 4常量 6.652 6.652 6.652 6.652b 0.0285 0.0285 0.0285 0.0316T 值 2.65 3.76 9.33 14.11P 值 0.033 0.009 0.000 0.000c -0.0480 -0.0480 -0.0480T 值 -2.86 -7.08 -11.01P 值 0.
3、029 0.001 0.000a -0.0120 -0.0120T 值 -5.64 -8.78P 值 0.002 0.001ac 0.00012T 值 2.85P 值 0.046S 2.64 1.86 0.749 0.481R-Sq 50.02 78.81 97.12 99.05R-Sq（调整） 42.88 71.75 95.40 98.10在mimitab软件中，减去均值，设置响应为R，预测变量为a,b,c,aa,bb,cc,ab,ac,bc,进行逐步回归。得到方程：R=6.652+0.0316*b-0.0480*c-0.0120*a+0.00012*ac（a=x1-240, b=x2-20
4、0, c=x3-63.333）故正交方程R=6.652+0.0316*（x2-200）-0.0480*（x3-63.333）-0.0120*（x1-240）+0.00012*（x1-240）*（x3-63.333）1.2随机取10组数据表2实验结果表正交结果正交设计方误2701751083.4655523.5187990.0028352802255.0973665.3779990.078755315195954.1904964.3589990.0283931151.3043281.3239980.0003872552201054.9829965.1789980.038417350185854.
5、0162864.1039990.0076943101.6773781.6339990.001882290190984.1170864.2799990.0265412504.2680674.3479980.0063892601301.8703931.8439980.0006970.191988正交设计均方误0.019199 2.1在不同试验量条件下，设计两组不同的设计：正交9组L9（3*3）表3 正交设计L9（3*3）实验方案及实验结果表2.2正交16组L16（4*3）表4 正交设计L16（4*3）实验方案及实验结果表15080106.22725-150-97.5-47.5225009506.3
6、2256.251462571254631.25407.37789-27.5-17.5756.3306.2541252625481.25707.294822.512.5506.3156.25-3375-1875281.257.60357102.552.510506.32756.25-15375-78755381.251.49286-5025004875-625-1218.752.725351375-2625-1443.759.37603-11252375-1068.759.78991-5125875-1793.750.2044350-4875-5118.753.50455-1375625-343
7、.756.115291125-875-393.759.696765125-2375-4868.754501.80306-146251706.254.93339-4125-71251306.253.18781337578751181.256.04151537518751281.25响应为 9 个自变量上的 r，N = 16步骤 1 2 3 4 5 6常量 5.461 5.461 5.461 5.461 5.461 5.650b 0.0296 0.0296 0.0296 0.0304 0.0310 0.0312T 值 4.05 6.28 16.91 19.05 25.09 30.05P 值 0.0
8、01 0.000 0.000 0.000 0.000 0.000c -0.0423 -0.0423 -0.0423 -0.0443 -0.0442T 值 -4.54 -12.23 -13.79 -18.18 -21.69P 值 0.001 0.000 0.000 0.000 0.000a -0.01037 -0.01037 -0.01037 -0.01037T 值 -9.07 -10.22 -13.39 -15.99P 值 0.000 0.000 0.000 0.000ac 0.00006 0.00011 0.00011T 值 2.06 3.97 4.63P 值 0.064 0.003 0.0
9、01ab -0.00004 -0.00004T 值 -2.98 -3.49P 值 0.014 0.007bb -0.00004T 值 -2.29P 值 0.047S 2.13 1.38 0.511 0.454 0.346 0.290R-Sq 53.97 82.21 97.74 98.37 99.13 99.45R-Sq（调整） 50.68 79.47 97.17 97.77 98.70 99.09Mallows Cp 2372.1 911.4 109.3 78.6 40.8 26.3步骤 7 8 9常量 5.480 5.358 5.222b 0.03119 0.03119 0.03116T 值
10、 37.07 42.88 53.19P 值 0.000 0.000 0.000c -0.0450 -0.0450 -0.0450T 值 -26.76 -30.96 -38.46a -0.01037 -0.01037 -0.01065T 值 -19.74 -22.84 -27.46ac 0.00011 0.00011 0.00010T 值 5.64 6.53 7.92ab -0.00004 -0.00004 -0.00004T 值 -4.18 -4.84 -6.05P 值 0.003 0.002 0.001bb -0.00004 -0.00004 -0.00004T 值 -2.84 -3.28
11、-4.08P 值 0.022 0.013 0.006cc 0.00012 0.00012 0.00012T 值 2.39 2.76 3.43P 值 0.044 0.028 0.014aa 0.00001 0.00002T 值 1.93 3.21P 值 0.096 0.018bc -0.00005T 值 -2.19P 值 0.071S 0.235 0.203 0.164R-Sq 99.68 99.79 99.88R-Sq（调整） 99.40 99.55 99.71Mallows Cp 16.5 12.8 10.0R=5.480+0.03119*b-0.045*c-0.01037*a+0.0001
12、1*ac-0.00004ab-0.00004bb+0.00012cc（a=x1-300，b=x2-177.5，c=x3-57.5） R=5.480+0.03119*（x2-177.5）-0.045*（x3-57.5）-0.01037*（x1-300）+0.00011*（x1-300）*（x3-57.5）-0.00004*（x1-300）*（x2-177.5）-0.00004*（x2-177.5）*（x2-177.5）+0.00012*（x3-57.5）*（x3-57.5）2.3随机选取10组数，比较两种设计方法的均方误表5 两种设计方法均方误比较正交9组结果正交设计9组方误正交16组结果210
13、3010.7185310.007980.5048769.9839250.5396397.2240567.5379860.0985527.4774250.0641961705.4559555.5479810.0084695.3976750.0033971.3690331.4539820.0072161.1301250.0570776.5622857.0749850.2628616.8060.0593974.1039880.0076924.1826750.0276851.6339870.0018831.6591250.0003334.2799860.0265364.3021050.03423238
14、0156.8865356.479990.1652797.0151750.0165481.399420.7419920.4322111.3957251.36511E-051.5155740.802518 正交9组设计均方误0.151557正交设计16组均方误0.0802523对电脑仿真实验结果加入不同误差，分别建立恰当的数学模型。3.1加入不同误差后对模型精度的影响表6误差为0.05时MSE值Reaction rateRMSE0.05MSE7.6359790.0892697.3366842.67E-078.2999790.0887578.4340340.0268528.3399790.07596
15、79.010370.1558431.5079820.1660421.0631970.0013919.4199820.1579419.8534030.00129610.467980.15553710.412350.1147491.667990.1323572.0835980.0026833.387990.0002283.3631940.0015939.139990.0610049.2040320.0967410.037148表7 误差为0.04时MSE值0.047.6275880.0843249838.2733360.1053414748.7197370.0108444631.0795350.0004395449.6123910.0420285210.0
