化验结果诊断问题(08数学与应用数学2010——2011第二学

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1、化验结果诊断问题人们到医院就诊时，通常要化验一些指标来协助医生的诊断。以下是人们是否患某种疾病时通常要化验的几种指标。表1是确诊病例的化验结果，其中1－30号病例是已经确诊为患该种疾病的化验结果；31－60号病例是已经确诊为健康人的结果。表2是某些就诊人员的化验结果。要解决以下问题：（1）根据表1中的数据，提出一种简便的判别方法，判别属于患者或健康人，并检验提出方法的正确性。（2）按照（1）提出的方法，对表2中的15名就诊人员的化验结果进行判别，判定他们是患该种疾病的病人还是健康人。（3）根据表1的数据特征，确定哪些指标是影响人们患该疾病的关键或主要因素，

2、来减少化验的指标。并根据所得的结果，重复2的工作。表1确诊病例的化验结果病例号ZnCuFeCaMgKNa116615.824.5700112179513218515.731.570112518442731939.8025.9541163128642415914.239.789699.2239726522616.223.860615270.321861719.299.2930718745.5257720113.326.655110149.4141814714.530.065910215468091728.857.8655175.798.43181015611

3、.532.56391071035521113215.917.757892.4131413721218211.311.3767111264672131869.2637.195823373.0347141628.2327.162510862.4465151506.6321.06271401796391615910.711.761219098.53901711716.17.0498895.51365721818110.14.0414371841015421914620.723.8123212815010922042.310.39.7062993.74398882

4、128.212.453.137044.14548522215413.853.36211051607232317912.217.9113915045.22182413.53.3616.813532.651.6182251755.8424.980712355.61262611315.847.362653.61686272750.511.66.3060858.958.91392878.614.69.7042170.81334642990.03.278.1762252.37708523017828.832.499211270.21693121319.136.222

5、2024940.01683217013.929.8128522647.93303316213.219.8152116636.21333420313.090.8154416298.903943516713.114.1227821246.31343616412.918.6299319736.394.53716715.027.0205626064.62373815814.437.0102510144.672.53913322.831.016334011808994015613532267471090228810411698.00308106899.153.028

6、94224717.38.65255424177.9373431668.1062.81233252134649442096.4386.9215728874.0219451826.4961.738704321433674623515.623.4180616668.81884717319.117.0249729565.82874815119.764.220314031828744919165.435.053613921376885022324.486.0360335397.74795122120.115531723681507395221725.028.2234

7、33731104945316422.235.52212281153549541738.9936.016242161032575520218.617.7378522531.067.35618217.324.8307324650.71095721124.017.0383642873.53515824621.593.2211235471.71955916416.138.0213515264.32406017921.035.0156022647.9330表2就诊人员的化验结果病例号ZnCuFeCaMgKNa6185.51.703.9950362.3238762.6

8、621440.7015.154779.771.0218.56385