数理分析的作业

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1、题目：螺虫主要分为两类AF与APF,现收集到18个样本，并得到每个样本的触角长(emterma)和翅膀长(wing)・经鉴定其中9只属AF类，6只属APF类，还有三只未知类别的嫁虫.试设计方案为未知类别嫁虫归类.已知类别的15只虫蒙虫数据情况：(antenna,wing)af1.241.72af1.381.64af1.401.70af1.361.74af1.381.82af1.381.90af1.481.82af1.541.82af1.562.08apf1.141.78apf1.201.86apf1.181

2、.96apf1.262.00apf1.282.00apf1.301.96未知类别由蒙虫(antenna,wing)(1.24,1.80)、(1.2&1.84)、(1.40,2.04)首先建立SAS数据集：datameng;inputgroup$antennawingcards;af1.241.72af1.381.64af1.401.70af1.361.74af1.381.82af1.381.90af1.481.82af1.541.82af1.562.08apf1.141.78apf1.201.86apf1.

3、181.96apf1.262.00apf1.282.00apf1.301.96datamen;inputgroup$antennawing@@;cards;unknown1.241.80unknown1.281.84unknown1.402.04datame;setmengmen;procprintdata=me;run;为了直观地了解两类蟻虫差异，用plot过程绘制蟻虫数据散点图procgplotdata=me;plotwing*antenna=group;run;于是得到蟻虫数据散点图:07仙05009

4、99897969594939291901.891.881.871.861.851.841.831.821.81+：1.721.711.70I.S91.681.671.661.651.641.141.161.181.201.221.241.261.281.301.321.341.3S1.381.401.42antem于是决定采用参数判别方法：线性判别函数认为数据来自正态总体程序如下：/*Testingwhetherpopulationisnormaldistribution*/procunivariateda

5、ta=mengnormaltest;varantennawing;bygroup;procdiscrimdata=mengtestdata=menout=outmengtestout=outmenmethod=normalpool=testslpool=0.1distancecrosslisttestlistthreshold=0.6;classgroup;varantennawing;priorsproportional;run;蟻虫数据参数线性判别结果ClassificationSummaryforCa

6、librationData:WORK.MENGCross-validationSummaryusingLinearDiscriminantFunctionFromClassifiedObsgroupintogroupafapf1afapf*0.31570.68432afaf1.00000.0000PosteriorProbabilityofMembershipingroup3afaf1.00000.00004afaf0.99900.00105afaf0.99530.00476afaf0.91670.0833

7、7afaf1.00000.00008afaf1.00000.00009afaf0.95010.049910apfapf0.00300.997011apfapf0.00300.997012pfapf0.00001.000013pfapf0.00050.999514apfapf0.00170.998315apfapf0.01830.9817Function*MisclassifiedobservationClassificationResultsforTestData:WORK.MENClassificatio

8、nResultsusingLinearDiscriminantPosteriorProbabilityofMembershipingroupapf0.85300.7214FromClassifiedObsgroupintogroupaf1apf*0.14702apf*0.27863apf*0.17150.8285*Misclassifiedobservation在discrim过程中，用了选项“threshold