主成分分析法MATLAB实现Word格式文档下载.docx
《主成分分析法MATLAB实现Word格式文档下载.docx》由会员分享,可在线阅读,更多相关《主成分分析法MATLAB实现Word格式文档下载.docx(17页珍藏版)》请在冰豆网上搜索。
b
std(i,j)=vector(ij)/cwsum(j);
end
3.2cwfac.mit算相关系数矩阵
%cwfac.m
functionresult=cwfac(vector);
fprintfCffl关系数矩阵:
\n'
std=CORRCOEF(vector)%it算相关系数拒阵
fprintf('
将征向量(vec)及符征ffi(val):
\n'
[vec,val]=eig(std)%求特征值(val)及特征向量(vec)nev/val=diag(val);
(y,i]=sort(newval);
%对特征根进行井序,y为排序结果,i为索引fprintfCU征根H序:
W)
forz=1:
length(y)
newy(z)=y(length(y)+1-z);
%g\n\newy)
rate=y/sum(y);
\n贡献率:
nevjrate=nev/y/sum(nev/y)
sumrate=O;
newi=[);
fork=length(y):
-1:
1
sumrate=sumrate+rate(k);
newi(length(y)+1-k)=i(k);
ifsumrate>
0.85break;
end%记卞累枳质献率大85%的特征個的序号笊人newi中
fprintf(注成分数:
%g\n\n,,length(newi));
fprintf(注成分我荷:
forp=1:
length(newi)
forq=1:
length(y)result(q,p)=sqrt(newval(newi(p)))*vec(q?
newi(p));
end%廿算我荷
disp(result)
3.3cwscore.m
%cwscore.m,it算得分
functionscore=cv/score(vector1,vector2);
sco=vector1*vector2;
csum=sum(sco,2);
[newcsumti]=sort(-1*csum);
(newi,j]=sort(i);
fprintfCit算得分:
\n*)
score=[scoJcsumj]
%得分矩H:
scoJi各主成分得分;
csum为综合得分;
j为U序结果
3.4cwprint.m
%cwprint.m
functionprint二cwprint(filenameab);
%filename»
文本文件文件名,a为矩眸行数(样本数),b为矩阵列数(变量指标数)tid=fopen(filename/r,)
vector=fscant(fid,'
%o1,[ab]);
标准化给果如下:
v1二cwstd(vector)
result二cwfac(v1);
cwscore(v1jesult);
4.程序测试
4.1原始数据
中国大陆35个大城市某年的10Bitt会经济标数据见下表。
城帀
年辰
非农业
农业
工业
容运
地方u或
城乡居艮
在岗职
在岗职工
总人口
人口比
总产值
收人
年Ktii余瀑
工人数
工资忠竄
(牙人)
(%)
(H元)
(万元)
(万人)
(万盹)
(JJ元)
OJ元)
(耳人)
北京
1249.90
0.5978
1843427
19999706
20323
45562
2790863
26806646
410.80
5773301
天津
910.17
0.5809
1501136
22645502
3259
26317
1128073
11301931
202.68
2254343
石家圧
875.40
0.2332
2918680
6885768
2929
1911
352348
7095875
95.60
758877
299.92
0.6563
236038
2737750
1937
11895
203277
3943100
88.65
654023
呼和浩特
207.78
0.4412
365343
816452
2351
2623
105783
1396588
42.11
309337
n
677.08
0.6299
1295418
5826733
7782
15412
567919
9016998
135.45
1152811
大连
545.31
0.4946
1879739
8426385
10780
19187
709227
7556796
94.15
965922
长春
691.23
0.4068
1853210
5966343
4810
9532
357096
4803744
102.63
884447
927.09
0.4627
2663855
4186123
6720
7520
481443
6450020
172.79
1309151
上涸
1313.12
0.7384
2069019
54529098
6406
44485
4318500
25971200
336.84
5605445
甫京
537.44
0.5341
989199
13072737
14269
11193
664299
5680472
113.81
1357861
616.05
0.3556
1414737
12000796
17883
11684
449593
7425967
96.90
1180947
538.41
0.2547
1428235
10622866
22215
10298
501723
5246350
62.15
824034
台肥
429.95
0.3184
628764
2514125
4893
1517
233628
1622931
47.27
369577
福卅
583.13
0.2733
2152288
6555351
8851
7190
467524
5030220
69.59
680607
®
128.99
0.4865
333374
5751124
3728
2570
418758
2108331
46.93
657484
南昌
424.20
0.3988
688289
2305881
3674
3189
167714
2640460
62.08
479,555
557.63
0.4085
1486302
6285882
5915
11775
460690
4126970
83.31
756696
702.97
0.3693
2382320
11492036
13408
17038
658435
4978045
103.52
961704
州
615.36
0.3424
677425
5287601
10433
6768
387252
5135338
84.66
696848
武汉
740.20
0.5869
1211291
7506085
9793
15442
604658
5748055
149.20
1314766
长沙
582.47
0.3107
1146367
3098179
8706
5718
323660
3461244
69.57
596986
广州
685.00
0.6214
1600738
23348139
22007
23854
1761499
20401811
182.81
3047594
深n
119.85
0.7931
299662
20368295
8754
4274
1847908
9519900
91.26
1890338
甫〒
285.87
0.4064
720486
1149691
5130
3293
149700
2190918
45.09
371809
海口
54.38
0.8354
44815
717461
5345
2356
115174
1626800
19.01
198138
3072.34
0.2067
4168780
8585525
52441
25124
898.912
9090969
223.73
1606804
1003.56
0.335
1935590
5894289
40140
19632
561189
7479684
132.89
1200671
贵讯
321.50
0.4557
362061
2247934
15703
4143
197908
1787748
55.28
419681
n明
473.39
0.3865
793356
3605729
5604
12042
524216
4127900
88.11
842321
西安
674.50
0.4094
739905
3665942
10311
9766
408896
5863980
114.01
885169
兰卅
287.59
0.5445
259444
2940884
1832
4749
169540
2641568
65.83
550890
西〒
133.95
0.5227
65848
711310
1746
1469
49134
855051
27.21
219251
和II
95.38
0.5709
171603
661226
2106
1193
74758
814103
23.72
178621
乌曾木齐
158.92
0.8244
78513
1847241
2668
9041
254870
2365508
55.27
517622
4.2运行结果
cwprint('
cwbook.txt1,35.10)
fid=
6
数据标准化结果如下:
v1=
0.05810.03560.04350.06800.05570.11120.11940.11840.10830.1392
0.04230.03460.03540.07700.00890.06420.04830.04990.05340.0544
0.04070.01390.06880.02340.00800.00470.01510.03140.02520.0183
0.01390.03910.00560.00930.00530.02900.00870.01740.02340.0158
0.00970.02630.00860.00280.00640.00640.00450.00620.01110.0075
0.03150.03750.03050.01980.02130.03760.02430.03980.03570.0278
0.0253
0.0295
0.0443
0.0286
0.02950.04680.03040.03340.0248
0.0233
0.0321
0.0242
0.0437
0.0203
0.0132
0.0153
0.0212
0.0270
0.0213
0.0431
0.0276
0.06280.01420.01840.01840.02060.02850.0455I
D.0316
0.0610
0.0440
0.0488
0.18530.0176
0.1086
0.1848
0.11480.0888I
D.1352
0.0250
0.0318
0.0444
0.03910.02730.02840.02510.0300
0.0327
0.0334
0.0408
0.04900.02850.01920.03280.0255
0.0285
0.0152
0.0337
0.0361
0.0609
0.02510.02150.02320.0164
0.0199
0.0200
0.0190
0.0148
0.0085
0.0134
0.0037
0.0100
0.0072
0.01250.0089
0.0271
0.0163
0.0508
0.0223
0.0243
0.0175
0.0222
0.01830.0164
0.0060
0.0290
0.0079
0.0195
0.0102
0.0063
0.0179
0.0093
0.01240.0159
0.0197
0.0237
0.0162
0.0078
0.0101
0.0117
0.01640.0116
0.0259
0.0350
0.0214
0.0287
0.0182
0.0220
0.0562
0.0391
0.0367
0.0416
0.0282
0.0273
0.0232
0.0204
0.0160
0.0180
0.0165
0.0166
0.0227
0.0168
0.0344
0.0349
0.0255
0.0268
0.0377
0.0254
0.0393
0.0317
0.0185
0.0105
0.0239
0.0140
0.01390.01530.0183
0.0144
0.0370
0.0793
0.0603
0.0582
0.0754
0.0901
0.04820.0735
0.0056
0.0472
0.0071
0.0692
0.0240
0.0104
0.0791
0.0421
0.0456
0.0133
0.0170
0.0039
0.0141
0.0080
0.0064
0.0097
0.0119
0.0090
0.0025
0.04970.00110.00240.01460.00570.00490.00720.0050
0.0048
0.1428
0.0123
0.0983
0.0292
0.14370.06130.03850.04020.0590
0.0387
0.0466
0.1100
0.04790.02400.03310.0350
0.0149
0.0076
0.0430
0.0146
0.0230
0.0187
0.0154
0.0294
0.0224
0.0313
0.0244
0.0174
0.0125
0.0283
0.0238
0.0300
0.0324
0.0061
0.0050
0.0116
0.0073
0.0173
0.0062
0.0311
0.0016
0.0024
0.0036
0.0021
0.0038
0.0053
0.0044
0.0340
0.0040
0.0022
0.0058
0.0029
0.0032
0.00630.0043
0.0074
0.0491
0.0019
0.0221
0.0109
相关系数矩阵:
std=
1.0000
-0.3444
0.8425
0.3603
0.7390
0.6215
0.4039
0.4967
0.6761
0.4689
-0.4750
0.3096-0.3539
0.1971
0.3571
0.2600
0.1570
0.3090
0.3358
0.5891
0.5056
0.3236
0.4456
0.5575
0.3742
0.3096
0.1507
0.7664
0.9412
0.8480
0.7320
0.8614
-0.3539
0.4294
0.3182
0.3893
0.2595
0.8316
0.8966
0.9302
0.9027
0.19710.83161.00000.92330.83760.9527
0.9233
0.9201
0.9731
0.67610.1570
0.38930.9302
0.83760.9201
0.9396
0.46890.3090
0.25950.9027
0.95270.9731
特征向量(vec):
vec=
-0.13670.2282
-0.2628
0.1939
0.6371-0.2163
0.3176-0.1312
-0.4191
0.2758
-0.0329-0.0217
0.0009
0.0446
-0.1447-0.4437
0.4058-0.55620.5487
0.0593
-0.0522-0.02800.2040-0.0492-0.5472-0.42250.34400.3188-0.4438
0.24010.0067-0.4176-0.2856・0.23890.1926-0.4915-0.41890.27260.2065
0.3403
0.0404
0.1408
0.0896
0.0380-0.1969
-0.0437-0.4888
-0.6789
-0.4405
0.1861
-0.0343
0.2360
0.0640
-0.8294
0.03770.2662
0.1356-0.1290
0.0278
0.3782
0.2981
0.4739
0.5685
0.2358
0.1465-0.1502
-0.26310.1245
0.2152
0.3644
0.1567
0.3464
-0.6485