关于SAS原始数据为相关系数矩阵的数据,如何做主成分分析?
例如张家放习题
研究者收集了40名学生的12项智力指标.这12项指标分别为常识x1,类同x2,计算x3,词汇x4,理解x5,数字广度x6,填图x7,图片排列x8,积木x9,拼图x10,译码x11,迷津x12。将原始数据经过标准化处理后,计算其相关系数矩阵,结果列在下表;试进行主成份分析。
| X1 | X2 | X3 | X4 | X5 | X6 | X7 | X8 | X9 | X10 | X11 | X12 |
X1 | 1 | | | | | | | | | | | |
X2 | 0.6904 | 1 | | | | | | | | | | |
X3 | 0.4115 | 0.4511 | 1 | | | | | | | | | |
X4 | 0.4580 | 0.7068 | 0.4018 | 1 | | | | | | | | |
X5 | 0.5535 | 0.6620 | 0.4122 | 0.7199 | 1 | | | | | | | |
X6 | 0.3923 | 0.6317 | 0.4520 | 0.4583 | 0.5299 | 1 | | | | | | |
X7 | 0.1415 | 0.3009 | 0.2025 | 0.2665 | 0.2480 | 0.1590 | 1 | | | | | |
X8 | 0.0077 | 0.0344 | 0.1855 | 0.1065 | 0.0003 | 0.1100 | 0.3595 | 1 | | | | |
X9 | 0.2385 | 0.3523 | 0.3646 | 0.3644 | 0.3388 | 0.3982 | 0.5004 | 0.3314 | 1 | | | |
X10 | 0.0333 | 0.1726 | 0.1311 | 0.1757 | 0.1998 | 0.0342 | 0.5758 | 0.1420 | 0.2808 | 1 | | |
X11 | 0.0898 | 0.3878 | 0.2041 | 0.3191 | 0.3186 | 0.2914 | 0.2637 | 0.2025 | 0.3971 | 0.1468 | 1 | |
X12 | 0.2215 | 0.2427 | 0.4124 | 0.2169 | 0.1459 | 0.0985 | 0.4222 | 0.2156 | 0.5016 | 0.2286 | 0.0776 | 1 |