机械工程专业的《试验设计与数据处理》课程dgrj.docx

试验设设计与数数据处理理专业：机机械工程程 班班级：机机械111级专硕硕学号：S111080050335 姓名名：赵龙龙第三章：统计推推断3-133 解：取假设设H0：u1-u20和假设设H1：u1-u20用sass分析结结果如下下： SSampple Staatissticcs GGrouup NN Meaan SStd. Deev. SStd. Errrorr - xx 88 00.23318775 0.01446 00.00051 yy 100 0.20997 0.00997 00.00031Hypootheesiss Teest NNulll hyypotthessis: Meean 1 - Meean 2 = 00 AAlteernaativve: Meean 1 - Meean 2 = 00 IIf VVariiancces Aree t staatissticc Df Pr > tt - EEquaal 3.8788 16 0.000133 NNot Equual 3.7044 11.67 00.00032由此可见见p值远小小于0.005，可可认为拒拒绝原假假设，即即认为22个作家家所写的的小品文文中由33个字母母组成的的词的比比例均值值差异显显著。3-144 解：用saas分析析如下： Hyypotthessis Tesst NNulll hyypotthessis: Vaariaancee 1 / VVariiancce 22 = 1 AAlteernaativve: Vaariaancee 1 / VVariiancce 22 = 1 - Deegreees of Freeedoom - F NNumeer. Dennom. Pr > FF - 22.277 7 9 0.225011由p值为为0.2250110.005（显显著性水水平），所所以接受受原假设设，两方方差无显显著差异异第四章：方差分分析和协协方差分分析4-1 解：Sas分分析结果果如下：Depeendeent Varriabble: y SSum of SSourrce DF SSquaaress MMeann Sqquarre FF Vaaluee Prr > F MModeel 4 114800.82230000 3370.20557500 40.88 <.00001 EErroor 155 1335.88225500 9.00548833 CCorrrectted Tottal 119 116166.64455000 R-Squuaree CCoefff VVar RRoott MSSE y MMeann 0.91559855 13.120023 33.00091225 222.9335000 SSourrce DF Annovaa SSS MMeann Sqquarre FF Vaaluee Prr > F cc 4 14480.82330000 3700.20057550 400.888 <.00001由结果可可知，pp值小于于0.0001，故故可认为为在水平平a=00.055下，这这些百分分比的均均值有显显著差异异。4-2 解： Thhe GGLM ProoceddureeDepeendeent Varriabble: R Summ off SSourrce DF SSquaaress MMeann Sqquarre FF Vaaluee Prr > F MModeel 11 882.8833333333 7.530030330 11.399 0.28995 EErroor 12 665.0000000000 5.416666667 CCorrrectted Tottal 23 1447.8833333333 R-Squuaree CCoefff VVar RRoott MSSE R MMeann 0.56003166 22.342278 22.32273773 100.4116677 SSourrce DF Typpe II SSS MMeann Sqquarre FF Vaaluee Prr > F mm 2 444.33333333333 222.11666666667 44.099 0.04442 nn 3 111.50000000000 3.88333333333 00.711 0.56557 mm*n 6 277.00000000000 4.55000000000 00.833 0.56884 SSourrce DF Tyype IIII SSS MMeann Sqquarre FF Vaaluee Prr > F mm 2 444.33333333333 222.11666666667 44.099 0.04442 nn 3 111.50000000000 3.88333333333 00.711 0.56557 mm*n 6 277.00000000000 4.55000000000 00.833 0.56884由结果可可知，在在不同浓浓度下得得率有显显著差异异，在不不同温度度下得率率差异不不明显，交交互作用用的效应应不显著著。4-4 解：(1) 不用协协变量做做方差分分析由分析结结果可知知，花的的品种、温温度和两两者的交交互作用用对鲜花花产量的的影响都都是不显显著的。(2) 引入协协变量作作方差分分析由分析结结果可见见，引入入协变量量后，vv、m、和x对鲜花花产量的的影响都都是显著著地。第五章: 正交交试验设设计5-3 解:用用L9（34）确定定配比试试验方案案:试验方案案 因因素试验号ABCD1234567891（0.1份）112（0.3份）223（0.2份）331（0.3份）2（0.4份）3（0.5份）1231231（0.2份）2（0.1份）3（0.1份）2313121（0.5份）2（0.3份）3（0.1份）312231以1号条条件为例例，表中中四个数数值的组组成比为为：A：B：C：DD=0.1：00.3：0.22：0.5配比方案案中，要要求各行行四个比比值之和和为1。在在1号条条件中，四四种数值值分别是是其余实验验条件可可按照相相同方法法得出。第六章： 回归归分析6-6 解：（1）作作线性回回归分析析结果如如下：由分析结结果得回回归方程程为：由p值都都小于00.1可可知，每每项都是是显著的的，方程程也是显显著的。（2）由分析结结果可知知，在aa=0.05下下，仅有有x3和x1应当当引入方方程。故所求方方程为：6-9 解：分分析结果果如下：Depeendeent Varriabble: y Sttepwwisee Seelecctioon: Steep 11 Varriabble t9 Enttereed: R-SSquaare = 00.34473 andd C(p) = 1175.75117 Annalyysiss off Vaariaancee SSum of Meean SSourrce DF Sqquarres SSquaare F VValuue PPr >> F MModeel 1 76.243389 76.243389 7.445 00.01163 EErroor 14 1143.283371 10.234455 CCorrrectted Tottal 15 2219.527760 Parrameeterr SStanndarrd VVariiablle Esstimmatee EErroor Tyype II SS F Vallue Prr > F IInteerceept 88.2229800 1.3386118 3360.749949 35.25 <.00001 tt9 00.0110566 0.0003887 76.243389 7.45 0.01663 Booundds oon ccondditiion nummberr: 11, 11- Sttepwwisee Seelecctioon: Steep 22 Varriabble t133 Ennterred: R-Squuaree = 0.667177 annd CC(p) = 84.42665 Annalyysiss off Vaariaancee SSum of Meean SSourrce DF Sqquarres SSquaare F VValuue PPr >> F MModeel 2 1147.465551 73.732276 113.330 00.00007 EErroor 13 72.062209 5.543324 CCorrrectted Tottal 15 2219.527760 Parrameeterr SStanndarrd VVariiablle Esstimmatee EErroor Tyype II SS F Vallue Prr > F IInteerceept 188.3334833 2.9998003 2207.322264 37.40 <.00001 tt9 00.0111733 0.0002887 92.817733 16.74 0.00113 tt13 -11.8999388 0.5529889 71.221162 12.85 0.00333- Sttepwwisee Seelecctioon: Steep 33 Varriabble t5 Enttereed: R-SSquaare = 00.76627 andd C(p) = 660.227277 Annalyysiss off Vaariaancee SSum of Meean SSourrce DF Sqquarres SSquaare F VValuue PPr >> F MModeel 3 1167.424492 55.808831 112.885 00.00005 EErroor 12 52.102268 4.341189 CCorrrectted Tottal 15 2219.527760 Parrameeterr SStanndarrd VVariiablle Esstimmatee EErroor Tyype II SS F Vallue Prr > FInteerceept 199.4999411 2.7708337 2225.064452 51.84 <.00001 tt5 00.0001633 0.00007761776 19.959941 4.60 0.05332 tt9 00.0007288 0.0003228 21.446626 4.94 0.04662 tt13 -22.1993055 0.4488556 87.485515 20.15 0.00007 BBounnds on conndittionn nuumbeer: 1.881855, 113.8825- Alll vvariiablles lefft iin tthe moddel aree siigniificcantt att thhe 00.15500 levvel. NNo ootheer vvariiablle mmet thee 0.15000 ssignnifiicannce levvel forr enntryy innto thee moodell. SSummmaryy off Sttepwwisee Seelecctioon Varriabble Vaariaablee NNumbber Paartiial MModeel Sttep Enttereed Reemovved VVarss Inn R-Squuaree R-Squuaree CC(p) F VValuue PPr >> F 1 t9 1 00.34473 00.34473 1775.7752 77.455 0.01663 2 t133 2 00.32244 00.67717 844.42265 122.855 0.00333 3 t5 3 00.09909 00.76627 600.27727 44.600 0.05332由结果可可知，yy=199.4999411+0.001163+0.0007228-22.19930556-100 解：（1）散散点图如如下：可以采用用Loggisttic拟拟合此数数据。（2）用用Loggisttic模模拟结果果为： Deepenndennt VVariiablle yy Meethood: Gauuss-Newwtonn Suum oof Iteer b c a Squuarees 0 3.71880 2.00000 21.00000 11124.1 1 3.64008 1.84993 14.83993 5570.9 2 3.54775 1.66884 14.99777 5534.7 3 3.47004 1.52008 15.23662 4499.4 4 3.40446 1.39663 15.48114 4464.3 5 3.34669 1.28887 15.73448 4429.2 6 3.29555 1.19443 15.99885 3394.1 7 3.24991 1.11007 16.27335 3359.1 8 3.20669 1.03660 16.56001 3324.4 9 3.16884 0.96991 16.85779 2290.5 110 3.13331 0.90991 17.16660 2257.6 111 3.10008 0.85551 17.48229 2226.3 112 3.07112 0.80667 17.80667 1196.8 113 3.04442 0.76332 18.13449 1169.7 114 3.01995 0.72442 18.46553 1145.1 115 2.99771 0.68992 18.79551 1123.1 116 2.97668 0.65880 19.12220 1104.0 117 2.95884 0.63000 19.44338 87.42441 118 2.94220 0.60550 19.75886 73.41229 119 2.92772 0.58227 20.06448 61.71448 220 2.91440 0.56228 20.36110 52.08995 221 2.90223 0.54550 20.64664 44.28226 222 2.89220 0.52991 20.92003 38.04222 223 2.88228 0.51449 21.18222 33.13004 224 2.87448 0.50221 21.43119 29.33007 225 2.86779 0.49007 21.66993 26.45009 226 2.86118 0.48004 21.89446 24.32443 227 2.85666 0.47111 22.10778 22.80887 228 2.85222 0.46228 22.30994 21.78443 229 2.84884 0.45553 22.49995 21.15114 330 2.84553 0.44886 22.67887 20.82776 331 2.84228 0.44225 22.84772 20.74556WARNNINGG: SStepp siize shoows no impprovvemeent. WARRNINNG: PROOC NNLINN faaileed tto cconvvergge. Esstimmatiion Summmarry (Nott Coonveergeed) Meethood GGausss-NNewttonIterratiionss 311