forj=1:b
std(i,j)=vector(i,j)/cwsum(j) end end
2.3计算贡献率 %cwfac.m
functionresult=cwfac(vector); fprintf('相关系数矩阵:\\n')
std=CORRCOEF(vector)%计算相关系数矩阵 fprintf('特征向量(vec)及特征值(val)：\\n')
[vec,val]=eig(std)%求特征值(val)及特征向量(vec) newval=diag(val);
[y,i]=sort(newval);%对特征根进行排序，y为排序结果，i为索引 fprintf('特征根排序：\\n') forz=1:length(y)
newy(z)=y(length(y)+1-z); end
fprintf('%g\\n',newy) rate=y/sum(y);
fprintf('\\n贡献率：\\n') newrate=newy/sum(newy) sumrate=0; newi=[];
fork=length(y):-1:1
sumrate=sumrate+rate(k); newi(length(y)+1-k)=i(k); ifsumrate>0.85break; end
end%记下累积贡献率大85%的特征值的序号放入newi中 fprintf('主成分数：%g\\n\\n',length(newi)); fprintf('主成分载荷：\\n') forp=1:length(newi) forq=1:length(y)
result(q,p)=sqrt(newval(newi(p)))*vec(q,newi(p)); end
end%计算载荷 disp(result)
2.4计算各成分的得分 %cwscore.m,计算得分
functionscore=cwscore(vector1,vector2); sco=vector1*vector2; csum=sum(sco,2);
26
[newcsum,i]=sort(-1*csum); [newi,j]=sort(i);
fprintf('计算得分：\\n') score=[sco,csum,j]
%得分矩阵：sco为各主成分得分；csum为综合得分；j为排序结果
2.5计算标准矩阵、贡献率、各成分得分之间的关系 %cwprint.m
functionprint=cwprint(filename,a,b);
%filename为文本文件文件名，a为矩阵行数(样本数)，b为矩阵列数(变量指标数) fid=fopen(filename,'r')
vector=fscanf(fid,'%g',[ab]); fprintf('标准化结果如下：\\n') v1=cwstd(vector) result=cwfac(v1); cwscore(v1,result); 运行结果如下：
>> cwprint('333.txt',7,27)
Warning: Function call cwprint invokes inexact match C:\\MATLAB7\\work\\cwprint.M. fid = 3
标准化结果如下：
Warning: Function call cwstd invokes inexact match C:\\MATLAB7\\work\\cwstd.M.
> In cwprint at 8 v1 =
0.0441 0.0315 0.0388 0.1434 0.0590 0.0249 0.0562 0.0503 0.0331 0.0392 0.0789 0.0565 0.0372 0.0565 0.0411 0.1304 0.0441 0.0555 0.0505 0.0535 0.0676 0.0326 0.0333 0.0348 0.0280 0.0354 0.0299 0.0330 0.0365 0.0286 0.0365 0.0424 0.0357 0.0510 0.0298 0.0302 0.0533 0.0422 0.0162 0.0346 0.0452 0.0375 0.0296 0.0371 0.0362 0.0214 0.0228 0.0186 0.0205 0.0399 0.0303 0.0388 0.0848 0.0599 0.0104 0.0613 0.0395 0.0351 0.0348 0.0846 0.0669 0.0394 0.0659 0.0310 0.0212 0.0310 0.0155 0.0257 0.0331 0.0284 0.0436 0.0366 0.0360 0.0027 0.0238 0.0039 0.0234 0.0349 0.0397 0.0447 0.0114 0.0285 0.0221 0.0329 0.0271 0.0220 0.0348 0.0230 0.0291 0.0137 0.0325 0.0410 0.0192 0.0332 0.0493 0.0296 0.0221 0.0310 0.0286 0.0338 0.0368 0.0186 0.0240 0.0091 0.0203 0.0477 0.0241 0.0352 0.0213 0.0239 0.0119 0.0246
27
0.0314 0.0266 0.0408 0.0209 0.0365 0.0168 0.0467 0.0322 0.0372 0.0388 0.0141 0.0257 0.0177 0.0227 0.0360 0.0383 0.0368 0.0407 0.0305 0.0921 0.0305 0.0462 0.0353 0.0358 0.0083 0.0287 0.0098 0.0299 0.0365 0.0985 0.0372 0.0314 0.0529 0.0897 0.0514 0.0449 0.0399 0.0402 0.0260 0.0366 0.0456 0.0362 0.0345 0.0370 0.0358 0.0607 0.0741 0.1294 0.0555 0.0319 0.0254 0.0348 0.0509 0.0319 0.0701 0.0293 0.0260 0.0219 0.0333 0.0174 0.0262 0.0263 0.0276 0.0488 0.0132 0.0335 0.0206 0.0230 0.0279 0.0184 0.0339 0.0173 0.0354 0.0120 0.0280 0.0487 0.0304
Warning: Function call cwfac invokes inexact match C:\\MATLAB7\\work\\cwfac.M.
> In cwprint at 9 相关系数矩阵: Warning: Function call CORRCOEF invokes inexact C:\\MATLAB7\\toolbox\\matlab\\datafun\\corrcoef.m.
> In cwfac at 4 In cwprint at 9 std =
1.0000 0.0600 0.0937 0.3306 0.2395 -0.0926 0.2384 0.0600 1.0000 0.5532 0.0807 0.3359 0.3342 0.4962 0.0937 0.5532 1.0000 0.1122 0.2366 0.0071 0.4104 0.3306 0.0807 0.1122 1.0000 0.7735 0.2004 0.7196 0.2395 0.3359 0.2366 0.7735 1.0000 0.4860 0.9210 -0.0926 0.3342 0.0071 0.2004 0.4860 1.0000 0.3312 0.2384 0.4962 0.4104 0.7196 0.9210 0.3312 1.0000 特征向量(vec)及特征值(val)： vec =
0.0251 -0.0736 0.0888 0.7007 -0.5814 -0.3519 -0.1824 -0.1402 0.2946 -0.6067 0.2687 -0.0684 0.5887 -0.3192 -0.0408 0.0373 0.6322 -0.2315 -0.4326 0.5375 -0.2601 0.0365 0.7426 0.0338 -0.2778 -0.0261 -0.4343 -0.4239 -0.7046 -0.4051 -0.0096 -0.1127 0.1581 -0.1855 -0.5170 0.1681 0.1038 0.4235 0.4986 0.6664 0.1283 -0.2693 0.6723 -0.4243 -0.2093 -0.2119 -0.0184 -0.0344 -0.5270 val =
0.0372 0 0 0 0 0 0 0 0.1997 0 0 0 0 0 0 0 0.3535 0 0 0 0 0 0 0 0.6845 0 0 0 0 0 0 0 1.1402 0 0
28
match
0 0 0 0 0 1.3477 0 0 0 0 0 0 0 3.2372
特征根排序： 3.23718 1.34774 1.14017 0.68454 0.353507 0.1997 0.0371594 贡献率： newrate =
0.4625 0.1925 0.1629 0.0978 0.0505 0.0285 0.0053
主成分数：4
主成分载荷：
-0.3282 -0.4085 -0.6208 0.5797 -0.5744 0.6835 -0.0730 0.2223 -0.4679 0.6240 -0.4619 -0.1915 -0.7627 -0.5041 -0.0279 -0.2298 -0.9302 -0.2154 0.1688 -0.0932 -0.4844 0.1490 0.7116 0.4125 -0.9482 -0.0399 -0.0196 -0.1753
Warning: Function call cwscore invokes inexact match C:\\MATLAB7\\work\\cwscore.M. 计算得分： score =
-0.2804 -0.0558 -0.0251 -0.0129 -0.3742 27.0000 -0.2381 -0.0221 -0.0190 0.0110 -0.2682 24.0000 -0.2884 0.0663 -0.0117 0.0371 -0.1967 23.0000 -0.1462 0.0126 -0.0130 0.0165 -0.1301 17.0000 -0.1640 0.0048 -0.0011 0.0233 -0.1370 19.0000 -0.1623 0.0400 -0.0053 0.0264 -0.1011 8.0000 -0.1139 0.0221 -0.0218 0.0155 -0.0980 7.0000 -0.2323 -0.0280 -0.0310 -0.0091 -0.3004 26.0000 -0.2578 -0.0242 -0.0075 0.0030 -0.2865 25.0000 -0.1155 0.0116 -0.0082 0.0195 -0.0927 2.0000 -0.1005 0.0228 -0.0401 0.0212 -0.0966 4.0000 -0.1322 0.0309 -0.0257 0.0186 -0.1085 11.0000 -0.1199 0.0086 -0.0212 0.0059 -0.1266 15.0000 -0.1453 -0.0120 -0.0234 0.0113 -0.1695 21.0000 -0.1062 0.0204 -0.0277 0.0107 -0.1027 9.0000
29
-0.1136 0.0039 -0.0362 0.0197 -0.1262 14.0000 -0.1470 0.0131 -0.0236 0.0069 -0.1507 20.0000 -0.1149 0.0256 -0.0245 0.0172 -0.0966 5.0000 -0.1839 0.0199 0.0268 0.0428 -0.0945 3.0000 -0.1183 0.0175 -0.0368 0.0220 -0.1156 12.0000 -0.2513 0.0597 0.0239 0.0518 -0.1159 13.0000 -0.1668 0.0183 -0.0122 0.0302 -0.1304 18.0000 -0.2798 0.0040 0.0611 0.0442 -0.1704 22.0000 -0.1716 0.0028 0.0155 0.0266 -0.1267 16.0000 -0.1132 0.0135 -0.0110 -0.1073 -0.0019 -0.0239 -0.1253 0.0141 -0.0002 >> cwprint('222.txt',6,28) fid = 4
标准化结果如下： v1 =
0.0310 0.0301 0.0313 0.0271 0.0210 0.0238 0.0446 0.0340 0.0388 0.0364 0.0109 0.0389 0.0377 0.0305 0.0308 0.0288 0.0171 0.0249 0.0295 0.0362 0.0265 0.0116 0.0570 0.0292 0.0316 0.0194 0.0356 0.0325 0.0032 0.0397 0.0313 0.0105 0.0273 0.0490 0.0423 0.0445 0.0333 0.0572 0.0292 0.0324 0.1175 0.0255 0.0443 0.0345 0.0488 0.0321 0.0549 0.0247 0.0311 0.0132 0.0299 0.0329 0.0410 0.0257 0.0329 0.0080 0.0379 0.0323 0.0415 0.0516 0.0252 0.0351 0.0232 0.0339 0.1228 0.0366 0.0273 0.0149 0.0257 0.0842 0.0259 0.0863 0.0358 0.0253 0.0290 0.0309 0.0729 0.0303
0.0131 -0.0976 0.0262 -0.1069 0.0261 -0.0853 0.0224 0.0235 0.0414 0.0343 0.0517 0.0921 0.0321 0.0382 0.0280 0.0487 0.0231 0.0339 0.0216 0.0316 0.0379 0.0233 0.0517 0.0353 0.0303 0.0384 0.0524 0.0287 0.0436 0.0316 0.0273 0.0122 0.0313 0.0283 0.0203 0.0489 0.0473 0.0182 0.0360 0.0214 0.0210 0.0236 0.0546 0.0150 0.0240 0.0375 0.0283 0.0285 0.0355 0.0267 0.0421 0.0279 0.0322 0.0563 0.0414 0.0431 0.0394 0.0380 30
6.0000 1.0000 0.0347 0.0365 0.0373 0.0363 0.0381 0.0341 0.0302 0.0303 0.0397 0.0380 0.0327 0.0367 0.0324 0.0349 0.0299 0.0333 0.0337 0.0323 0.0351 0.0383 0.0367 0.0363 0.0385 0.0401 0.0389 0.0393
10.0000
2012年高教社杯全国大学生数学建模竞赛A题全国一等奖论文
