{"id":52825,"date":"2025-08-11T19:44:41","date_gmt":"2025-08-11T11:44:41","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/52825.html"},"modified":"2025-08-11T19:44:41","modified_gmt":"2025-08-11T11:44:41","slug":"%e3%80%8amatlab%e6%95%99%e5%ad%a6%e5%bb%ba%e6%a8%a1%e6%96%b9%e6%b3%95%e4%b8%8e%e5%ae%9e%e8%b7%b5%ef%bc%88%e7%ac%ac%e4%b8%89%e7%ab%a0%ef%bc%89%e3%80%8b%e5%ad%a6%e4%b9%a0%e7%ac%94%e8%ae%b0-2","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/52825.html","title":{"rendered":"\u300aMatlab\u6559\u5b66\u5efa\u6a21\u65b9\u6cd5\u4e0e\u5b9e\u8df5\uff08\u7b2c\u4e09\u7ae0\uff09\u300b\u5b66\u4e60\u7b14\u8bb0\u2014\u2014\u4e3b\u6210\u5206\u5206\u6790\u6cd5(PCA)"},"content":{"rendered":"<p id=\"main-toc\">\u76ee\u5f55<\/p>\n<p id=\"-toc\" style=\"margin-left:40px\">\n<p id=\"%E4%B8%80%E3%80%81%E4%B8%BB%E6%88%90%E5%88%86%E5%88%86%E6%9E%90(PCA)%E5%9F%BA%E6%9C%AC%E5%8E%9F%E7%90%86-toc\" style=\"margin-left:40px\">\u4e00\u3001\u4e3b\u6210\u5206\u5206\u6790(PCA)\u57fa\u672c\u539f\u7406<\/p>\n<p id=\"1.%20PCA%E5%9F%BA%E6%9C%AC%E6%80%9D%E6%83%B3-toc\" style=\"margin-left:120px\">1. PCA\u57fa\u672c\u601d\u60f3<\/p>\n<p id=\"2.PCA%E6%96%B9%E6%B3%95%E6%AD%A5%E9%AA%A4-toc\" style=\"margin-left:120px\">2.PCA\u65b9\u6cd5\u6b65\u9aa4<\/p>\n<p id=\"%E4%BA%8C%E3%80%81PCA%E5%BA%94%E7%94%A8%E6%A1%88%E4%BE%8B-toc\" style=\"margin-left:40px\">\u4e8c\u3001PCA\u5e94\u7528\u6848\u4f8b<\/p>\n<p id=\"%E4%B8%89%E3%80%81%E8%BF%90%E7%94%A8PCA%E7%9A%84%E6%95%B0%E6%A8%A1%E8%AE%BA%E6%96%87-toc\" style=\"margin-left:40px\">\u4e09\u3001\u8fd0\u7528PCA\u7684\u6570\u6a21\u8bba\u6587<\/p>\n<hr id=\"hr-toc\" \/>\n<h3 id=\"%E4%B8%80%E3%80%81%E4%B8%BB%E6%88%90%E5%88%86%E5%88%86%E6%9E%90(PCA)%E5%9F%BA%E6%9C%AC%E5%8E%9F%E7%90%86\">\u4e00\u3001\u4e3b\u6210\u5206\u5206\u6790(PCA)\u57fa\u672c\u539f\u7406<\/h3>\n<h5 id=\"1.%20PCA%E5%9F%BA%E6%9C%AC%E6%80%9D%E6%83%B3\">1. PCA\u57fa\u672c\u601d\u60f3<\/h5>\n<p>\u4e3b\u6210\u5206\u5206\u6790\u662f\u91c7\u7528\u4e00\u79cd\u6570\u5b66\u964d\u7ef4\u7684\u65b9\u6cd5&#xff0c;\u5176\u6240\u505a\u7684\u5c31\u662f\u8bbe\u6cd5\u5c06\u539f\u6765\u4f17\u591a\u5177\u6709\u4e00\u5b9a\u76f8\u5173\u6027\u7684\u53d8\u91cf&#xff0c;\u91cd\u65b0\u7ec4\u5408\u4e3a\u4e00\u7ec4\u65b0\u7684\u7efc\u5408\u53d8\u91cf\u6765\u4ee3\u66ff\u539f\u6765\u7684\u53d8\u91cf\u3002\u901a\u5e38\u6570\u5b66\u4e0a\u7684\u5904\u7406\u65b9\u6cd5\u662f\u5c06\u539f\u6765\u7684\u53d8\u91cf\u505a\u7ebf\u6027\u7ec4\u5408&#xff0c;\u4f5c\u4e3a\u65b0\u7684\u7efc\u5408\u53d8\u91cf&#xff0c;\u5982\u679c\u9009\u53d6\u7b2c\u4e00\u4e2a\u7ebf\u6027\u7ec4\u5408\u5373\u7b2c\u4e00\u4e2a\u7efc\u5408\u53d8\u91cf\u4e3a<img decoding=\"async\" alt=\"F_{1}\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114435-6899d7a3c0c38.png\" \/>\u3002\u7528\u65b9\u5dee\u6d4b\u91cf\u65b0\u7efc\u5408\u53d8\u91cf\u53cd\u5e94\u539f\u6765\u53d8\u91cf\u7684\u4fe1\u606f&#xff0c;\u5373\u5e0c\u671b<img decoding=\"async\" alt=\"Var(F_{1})\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114436-6899d7a4102ec.png\" \/>\u8d8a\u5927&#xff0c;\u8868\u793a<img decoding=\"async\" alt=\"F_{1}\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114435-6899d7a3c0c38.png\" \/>\u5305\u542b\u7684\u4fe1\u606f\u8d8a\u591a\u3002\u56e0\u6b64\u5728\u6240\u6709\u7ebf\u6027\u7ec4\u5408\u4e2d&#xff0c;\u6240\u9009\u53d6\u7684<img decoding=\"async\" alt=\"F_{1}\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114435-6899d7a3c0c38.png\" \/>\u5e94\u8be5\u4f7f\u65b9\u5dee\u6700\u5927\u7684&#xff0c;\u6545\u79f0<img decoding=\"async\" alt=\"F_{1}\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114435-6899d7a3c0c38.png\" \/>\u4e3a\u7b2c\u4e00\u4e3b\u6210\u5206\u3002\u5982\u679c\u7b2c\u4e00\u4e3b\u6210\u5206\u4e0d\u8db3\u4ee5\u4ee3\u8868\u539f\u6765<img decoding=\"async\" alt=\"p\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114436-6899d7a438bd7.png\" \/>\u4e2a\u53d8\u91cf\u7684\u4fe1\u606f&#xff0c;\u518d\u8003\u8651\u9009\u53d6<img decoding=\"async\" alt=\"F_{2}\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114436-6899d7a479b72.png\" \/>&#xff0c;\u5373\u7b2c\u4e8c\u4e2a\u7ebf\u6027\u7ec4\u5408\u3002\u4e3a\u4e86\u6709\u6548\u5730\u53cd\u5e94\u539f\u6765\u7684\u4fe1\u606f&#xff0c;<img decoding=\"async\" alt=\"F_{1}\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114435-6899d7a3c0c38.png\" \/>\u5df2\u6709\u7684\u4fe1\u606f\u5c31\u4e0d\u9700\u8981\u518d\u51fa\u73b0\u5728<img decoding=\"async\" alt=\"F_{2}\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114436-6899d7a479b72.png\" \/>\u4e2d&#xff0c;\u7528\u6570\u5b66\u8bed\u8a00\u8868\u793a\u5c31\u662f\u8981\u6c42<img decoding=\"async\" alt=\"Con(F_{1},F_{2})&#061;0\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114436-6899d7a4c9d38.png\" \/>&#xff0c;\u79f0<img decoding=\"async\" alt=\"F_{2}\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114436-6899d7a479b72.png\" \/>\u4e3a\u7b2c\u4e8c\u4e3b\u6210\u5206\u3002\u4ee5\u6b64\u7c7b\u63a8&#xff0c;\u53ef\u4ee5\u6784\u9020\u51fa\u7b2c\u4e09\u3001\u7b2c\u56db\u3001&#8230;\u3001\u7b2c<img decoding=\"async\" alt=\"p\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114436-6899d7a438bd7.png\" \/>\u4e2a\u4e3b\u6210\u5206&#xff08;<img decoding=\"async\" alt=\"Con\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114436-6899d7a4d5818.png\" \/>\u8868\u793a\u7edf\u8ba1\u5b66\u4e2d\u7684\u534f\u65b9\u5dee&#xff09;<\/p>\n<h5 id=\"2.PCA%E6%96%B9%E6%B3%95%E6%AD%A5%E9%AA%A4\">2.PCA\u65b9\u6cd5\u6b65\u9aa4<\/h5>\n<ul>\n<li>Step1&#xff1a;\u5bf9\u539f\u59cb\u6570\u636e\u8fdb\u884c\u6807\u51c6\u5316\u5904\u7406\u3002\u5047\u8bbe\u6837\u672c\u89c2\u6d4b\u6570\u636e\u77e9\u9635\u4e3a&#xff1a;<\/li>\n<\/ul>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"X&#061;\\\\begin{bmatrix} x_{11} &amp; x_{12} &amp; \\\\cdots &amp; x_{1p} \\\\\\\\ x_{21} &amp; x_{22} &amp; \\\\cdots &amp; x_{2p} \\\\\\\\ \\\\vdots &amp; \\\\vdots &amp; \\\\ddots &amp; \\\\vdots \\\\\\\\ x_{n1} &amp; x_{n2} &amp; \\\\cdots &amp; x_{np} \\\\\\\\ \\\\end{bmatrix}\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114437-6899d7a52366f.png\" \/><\/p>\n<p>\u90a3\u4e48\u53ef\u4ee5\u6309\u7167\u5982\u4e0b\u65b9\u6cd5\u5bf9\u539f\u59cb\u6570\u636e\u8fdb\u884c\u6807\u51c6\u5316\u5904\u7406&#xff1a;<\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"x_{ij}^{*}&#061;\\\\tfrac{x_{ij}-\\\\overline{x_{j}}}{\\\\sqrt{Var(x_{j})}} (i&#061;1,2,...,n:j&#061;1,2,...,p)\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114437-6899d7a553f2e.png\" \/><\/p>\n<p>\u5176\u4e2d&#xff0c;<\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\\\\overline{x_{j}}&#061;\\\\tfrac{1}{n}\\\\sum_{i&#061;1}^{n}x_{ij},Var(x_{j})&#061;\\\\tfrac{1}{n-1}\\\\sum_{i&#061;1}^{n}{(x_{ij}-\\\\overline{x_j})}^{2} (j&#061;1,2,...,p)\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114437-6899d7a5b10d7.png\" \/><\/p>\n<ul>\n<li>Step2&#xff1a;\u8ba1\u7b97\u6837\u672c\u76f8\u5173\u7cfb\u6570\u77e9\u9635&#xff0c;\u5047\u8bbe\u6570\u636e\u6807\u51c6\u5316\u540e\u4f9d\u65e7\u7528X\u8868\u793a&#xff0c;\u7ecf\u8fc7\u6807\u51c6\u5316\u5904\u7406\u540e\u7aef\u6570\u636e\u7684\u76f8\u5173\u7cfb\u6570\u4e3a&#xff1a;<\/li>\n<\/ul>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"R&#061;\\\\begin{bmatrix} r_{11} &amp; r_{12} &amp; \\\\cdots &amp; r_{1p} \\\\\\\\ r_{21} &amp; r_{22} &amp; \\\\cdots &amp; r_{2p} \\\\\\\\ \\\\vdots &amp; \\\\vdots &amp; \\\\ddots &amp; \\\\vdots \\\\\\\\ r_{p1} &amp; r_{p2} &amp; \\\\cdots &amp; r_{pp} \\\\\\\\ \\\\end{bmatrix}\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114437-6899d7a5e686a.png\" \/><\/p>\n<p>\u5176\u4e2d&#xff0c;<\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"r_{ij}&#061;\\\\tfrac{Cov(x_{i},x_j)}{\\\\sqrt{Var(x_1)}\\\\sqrt{Var(x_2)}}&#061;\\\\tfrac{\\\\sum_{k&#061;1}^{n}(x_{ki}-\\\\overline{x_i})(x_{kj}-\\\\overline{x_j})}{\\\\sqrt{\\\\sum_{k&#061;1}^{n}{(x_{ki}-\\\\overline{x_i})}^{2}\\\\sqrt{\\\\sum_{k&#061;1}^{n}{(x_{kj}-\\\\overline{x_j})}^{2}}}}(n&gt;1)\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114438-6899d7a6180d6.png\" \/><\/p>\n<p>\u5bf9\u4e8e\u534f\u65b9\u5dee&#xff0c;\u6837\u672c\u65b9\u5dee\u4e3a<img decoding=\"async\" alt=\"s^{2}&#061;\\\\tfrac{1}{n-1}\\\\sum_{i&#061;1}^{n}{(x_{i}-\\\\overline{x})}^{2}\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114438-6899d7a649591.png\" \/>&#xff0c;<\/p>\n<p>\u6837\u672cX\u548c\u6837\u672cY\u7684\u534f\u65b9\u5dee\u4e3a<\/p>\n<p><img decoding=\"async\" alt=\"Cov(X,Y)\\\\\\\\&#061;E\\\\left [ (X-E(X))(Y-E(Y)) \\\\right ]\\\\\\\\&#061;\\\\tfrac{1}{n-1}\\\\sum_{i&#061;1}^{n}(x_{i}-\\\\overline{x})(y_{i}-\\\\overline{y})\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114438-6899d7a66c1c7.png\" \/><\/p>\n<p>\u534f\u65b9\u5dee\u4e3a\u6b63\u65f6&#xff0c;\u8bf4\u660eX\u548cY\u662f\u6b63\u76f8\u5173\u5173\u7cfb&#xff1b;\u534f\u65b9\u5dee\u4e3a\u8d1f\u65f6&#xff0c;\u8bf4\u660eX\u548cY\u662f\u8d1f\u76f8\u5173\u5173\u7cfb&#xff1b;\u534f\u65b9\u5dee\u4e3a0\u65f6&#xff0c;\u8bf4\u660eX\u548cY\u662f\u76f8\u4e92\u72ec\u7acb\u3002Cov(X,X)\u5c31\u662fX\u7684\u65b9\u5dee\u3002<\/p>\n<ul>\n<li>\u8ba1\u7b97\u76f8\u5173\u7cfb\u6570\u77e9\u9635R\u7684\u7279\u5f81\u503c<img decoding=\"async\" alt=\"(\\\\lambda _1,\\\\lambda _2,...,\\\\lambda _p)\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114438-6899d7a6a3001.png\" \/>\u548c\u76f8\u5e94\u7684\u7279\u5f81\u5411\u91cf&#xff1a;<\/li>\n<\/ul>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"a_i&#061;(a_{i1},a_{i2},...,a_{ip}) (i&#061;1,2,...,p)\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114438-6899d7a6c52f0.png\" \/><\/p>\n<ul>\n<li>\u9009\u62e9\u6700\u4e3b\u8981\u7684\u4e3b\u6210\u5206&#xff0c;\u5e76\u5199\u51fa\u4e3b\u6210\u5206\u8868\u8fbe\u5f0f\u3002\u6839\u636e\u4e2a\u4e2a\u4e3b\u6210\u5206\u7d2f\u8ba1\u8d21\u732e\u7387\u7684\u5927\u5c0f\u9009\u53d6\u524dk\u7ed9\u4e3b\u6210\u5206\u3002\u8d21\u732e\u7387\u662f\u6307\u4e3b\u6210\u5206\u7684\u65b9\u5dee\u5360\u5168\u90e8\u65b9\u5dee\u7684\u6bd4\u91cd&#xff0c;\u5b9e\u9645\u5c31\u662f\u67d0\u4e2a\u7279\u5f81\u503c\u5360\u5168\u90e8\u7279\u5f81\u503c\u5408\u8ba1\u7684\u6bd4\u91cd\u3002<\/li>\n<\/ul>\n<p style=\"text-align:center\">\u8d21\u732e\u7387<img decoding=\"async\" alt=\"&#061;\\\\tfrac{\\\\lambda _i}{\\\\sum_{i&#061;1}^{p}\\\\lambda _i}\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114438-6899d7a6e5b9c.png\" \/><\/p>\n<p>\u8d21\u732e\u7387\u8d8a\u5927\u8bf4\u660e\u8be5\u4e3b\u6210\u5206\u6240\u5305\u542b\u7684\u539f\u59cb\u53d8\u91cf\u7684\u4fe1\u606f\u8d8a\u5f3a\u3002\u4e3b\u6210\u5206\u4e2a\u6570k\u7684\u9009\u53d6&#xff0c;\u4e3b\u8981\u6839\u636e\u4e3b\u6210\u5206\u7684\u7d2f\u8ba1\u8d21\u732e\u7387\u6765\u51b3\u5b9a&#xff0c;\u5373\u4e00\u822c\u8981\u6c42\u7d2f\u8ba1\u8d21\u732e\u7387\u8fbe\u523085%\u4ee5\u4e0a&#xff0c;\u8fd9\u6837\u624d\u80fd\u4fdd\u8bc1\u7efc\u5408\u53d8\u91cf\u80fd\u5305\u542b\u539f\u59cb\u53d8\u91cf\u7684\u7edd\u5927\u591a\u6570\u4fe1\u606f\u3002<\/p>\n<ul>\n<li>\u8ba1\u7b97\u4e3b\u6210\u5206\u5f97\u5206\u3002\u6839\u636e\u6807\u51c6\u5316\u7684\u539f\u59cb\u6570\u636e&#xff0c;\u6309\u7167\u5404\u4e2a\u6837\u54c1\u5206\u522b\u4ee3\u5165\u4e3b\u6210\u5206\u8868\u8fbe\u5f0f&#xff0c;\u5f97\u5230\u4e2a\u4e3b\u6210\u5206\u4e0b\u5404\u4e2a\u6837\u54c1\u7684\u65b0\u6570\u636e&#xff0c;\u5373\u4e3b\u6210\u5206\u5f97\u5206\u3002<\/li>\n<\/ul>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\\\\begin{bmatrix} F_{11} &amp; F_{12} &amp; \\\\cdots &amp; F_{1k} \\\\\\\\ F_{21} &amp; F_{22} &amp; \\\\cdots &amp; F_{2k} \\\\\\\\ \\\\vdots &amp; \\\\vdots &amp; \\\\ddots &amp; \\\\vdots \\\\\\\\ F_{n1} &amp; F_{n2} &amp; \\\\cdots &amp; F_{nk} \\\\\\\\ \\\\end{bmatrix}\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114439-6899d7a7104bc.png\" \/><\/p>\n<p>\u5176\u4e2d&#xff0c;<\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"F_{ij}&#061;a_{j1}x_{i1}&#043;a_{j2}x_{i2}&#043;...&#043;a_{jp}x_{ip} (i&#061;1,2,...,n;j&#061;1,2,...,k)\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114439-6899d7a732c92.png\" \/><\/p>\n<ul>\n<li>\u4f9d\u636e\u4e3b\u6210\u5206\u5f97\u5206\u7684\u6570\u636e&#xff0c;\u8fdb\u4e00\u6b65\u5bf9\u95ee\u9898\u8fdb\u884c\u540e\u7eed\u7684\u5206\u6790\u548c\u5efa\u6a21\u3002<\/li>\n<\/ul>\n<h3 id=\"%E4%BA%8C%E3%80%81PCA%E5%BA%94%E7%94%A8%E6%A1%88%E4%BE%8B\">\u4e8c\u3001PCA\u5e94\u7528\u6848\u4f8b<\/h3>\n<p>\u4e3a\u7cfb\u7edf\u5206\u6790\u67d0IT\u4f01\u4e1a\u7684\u7ecf\u6d4e\u6548\u76ca&#xff0c;\u9009\u62e9\u4e868\u4e2a\u4e0d\u540c\u7684\u5229\u6da6\u6307\u6807&#xff0c;\u5bf915\u5bb6\u4f01\u4e1a\u8fdb\u884c\u8c03\u7814&#xff0c;\u5f97\u5230\u5982\u4e0b\u6570\u636e\u3002\u8bf7\u6839\u636e\u8fd9\u4e9b\u6570\u636e\u5bf915\u5bb6\u4f01\u4e1a\u8fdb\u884c\u7efc\u5408\u5b9e\u529b\u6392\u5e8f\u3002<\/p>\n<p class=\"img-center\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"864\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114439-6899d7a76dde4.jpg\" width=\"1229\" \/><\/p>\n<ul>\n<li>\u6570\u636e\u5bfc\u5165\u53ca\u5904\u7406<\/li>\n<\/ul>\n<p>clc<br \/>\nclear all<br \/>\nA&#061;xlsread(&#039;Coporation_evaluation.xlsx&#039;,&#039;B2:I16&#039;); <\/p>\n<ul>\n<li>\u6570\u636e\u6807\u51c6\u5316\u5904\u7406<\/li>\n<\/ul>\n<p>a&#061;size(A,1);<br \/>\nb&#061;size(A,2);<br \/>\nfor i&#061;1:b<br \/>\n    SA(:,i)&#061;(A(:,i)-mean(A(:,i)))\/std(A(:,i));<br \/>\nend <\/p>\n<p><img decoding=\"async\" alt=\"x_{ij}^{*}&#061;\\\\tfrac{x_{ij}-\\\\overline{x_{j}}}{\\\\sqrt{Var(x_{j})}} (i&#061;1,2,...,n:j&#061;1,2,...,p)\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114437-6899d7a553f2e.png\" \/><\/p>\n<p>size()\u51fd\u6570&#xff1a;\u83b7\u53d6\u77e9\u9635\u7684\u884c\u6570\u4e0e\u5217\u6570\u3002\u8be5\u4ee3\u7801\u628a\u77e9\u9635A\u7684\u884c\u6570\u8d4b\u503c\u7ed9a&#xff0c;\u5217\u6570\u8d4b\u503c\u7ed9b&#xff0c;\u7528\u4e8e\u5faa\u73af\u8fdb\u884c\u6570\u636e\u6807\u51c6\u5316\u3002<\/p>\n<p>\u2460s&#061;size(A)<\/p>\n<p>\u5f53\u53ea\u6709\u4e00\u4e2a\u8f93\u51fa\u53c2\u6570\u65f6&#xff0c;\u8fd4\u56de\u4e00\u4e2a\u884c\u5411\u91cf&#xff0c;\u8be5\u884c\u5411\u91cf\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\u65f6\u77e9\u9635\u7684\u884c\u6570&#xff0c;\u7b2c\u4e8c\u4e2a\u5143\u7d20\u662f\u77e9\u9635\u7684\u5217\u6570\u3002<\/p>\n<p>\u2461[r,c]&#061;size(A)<\/p>\n<p>\u5f53\u6709\u4e24\u4e2a\u8f93\u51fa\u53c2\u6570\u65f6&#xff0c;\u5c06\u77e9\u9635\u7684\u884c\u6570\u8fd4\u56de\u5230\u7b2c\u4e00\u4e2a\u8f93\u51fa\u53d8\u91cfr&#xff0c;\u5c06\u77e9\u9635\u7684\u5217\u6570\u8fd4\u56de\u5230\u7b2c\u4e8c\u4e2a\u8f93\u51fa\u53d8\u91cfc\u3002<\/p>\n<p>\u2462size(A,n)<\/p>\n<p>\u5982\u679c\u5728size\u51fd\u6570\u7684\u8f93\u5165\u53c2\u6570\u4e2d\u518d\u6dfb\u52a0\u4e00\u9879n&#xff0c;\u5e76\u75281\u62162\u4e3an\u8d4b\u503c&#xff0c;\u5219 size\u5c06\u8fd4\u56de\u77e9\u9635\u7684\u884c\u6570\u6216\u5217\u6570\u3002<\/p>\n<p>r&#061;size(A,1)\u8be5\u8bed\u53e5\u8fd4\u56de\u77e9\u9635A\u7684\u884c\u6570<\/p>\n<p>r&#061;size(A,2) \u8be5\u8bed\u53e5\u8fd4\u56de\u77e9\u9635A\u7684\u5217\u6570<\/p>\n<p>mean()\u51fd\u6570&#xff1a;\u8ba1\u7b97\u6837\u672c\u5747\u503c<\/p>\n<p>\u2460M &#061; mean(A)<\/p>\n<p>\u5f53\u53ea\u6709\u4e00\u4e2a\u8f93\u51fa\u53c2\u6570\u65f6&#xff0c;\u8fd4\u56de A \u6cbf\u5927\u5c0f\u4e0d\u7b49\u4e8e 1 \u7684\u7b2c\u4e00\u4e2a\u6570\u7ec4\u7ef4\u5ea6\u7684\u5143\u7d20\u7684\u5747\u503c\u3002<\/p>\n<p>\u5982\u679c A \u662f\u5411\u91cf&#xff0c;\u5219 mean(A) \u8fd4\u56de\u5143\u7d20\u5747\u503c\u3002<\/p>\n<p>\u5982\u679c A \u4e3a\u77e9\u9635&#xff0c;\u90a3\u4e48 mean(A) \u8fd4\u56de\u5305\u542b\u6bcf\u5217\u5747\u503c\u7684\u884c\u5411\u91cf\u3002<\/p>\n<p>\u2461M &#061; mean(A,\u2018all\u2019)<\/p>\n<p>\u5f53\u7b2c\u4e8c\u4e2a\u53c2\u6570\u662f&#039;all&#039;\u65f6&#xff0c;\u8fd4\u56de A \u7684\u6240\u6709\u5143\u7d20\u7684\u5747\u503c\u3002<\/p>\n<p>\u2462M &#061; mean(A,dim)<\/p>\n<p>\u8fd4\u56de\u7ef4\u5ea6 dim \u4e0a\u7684\u5747\u503c\u3002<\/p>\n<p>\u4f8b\u5982&#xff1a;a&#061;[1,2,3;4,5,6;7,8,9];<\/p>\n<ul>\n<li>mean(a,1)<\/li>\n<\/ul>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0ans &#061;<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a04 5 6<\/p>\n<ul>\n<li>mean(a,2)<\/li>\n<\/ul>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0ans &#061;<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a05 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a08<\/p>\n<ul>\n<li>mean(a,3)<\/li>\n<\/ul>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0ans &#061; \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01 2 3 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a04 5 6 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a07 8 9<\/p>\n<p>std()\u51fd\u6570&#xff1a;\u8ba1\u7b97\u6807\u51c6\u5dee<\/p>\n<p>\u2460S &#061; std(A)&#xff0c;\u8fd4\u56de A \u6cbf\u5927\u5c0f\u4e0d\u7b49\u4e8e 1 \u7684\u7b2c\u4e00\u4e2a\u6570\u7ec4\u7ef4\u5ea6\u7684\u5143\u7d20\u7684\u6807\u51c6\u5dee\u3002<\/p>\n<p>\u2461S &#061; std(A,w)<\/p>\n<p>\u5f53 w &#061; 0 \u65f6&#xff08;\u9ed8\u8ba4\u503c&#xff09;&#xff0c;S \u6309 N-1 \u8fdb\u884c\u5f52\u4e00\u5316\u3002<\/p>\n<p>\u5f53 w &#061; 1 \u65f6&#xff0c;S \u6309\u89c2\u6d4b\u503c\u6570\u91cf N \u8fdb\u884c\u5f52\u4e00\u5316\u3002<\/p>\n<p>\u2462S &#061; std(A,w,dim)&#xff0c;\u6cbf\u7ef4\u5ea6 dim \u8fd4\u56de\u6807\u51c6\u5dee\u3002<\/p>\n<ul>\n<li>\u8ba1\u7b97\u76f8\u5173\u7cfb\u6570\u77e9\u9635\u7684\u7279\u5f81\u503c\u548c\u7279\u5f81\u51fd\u6570<\/li>\n<\/ul>\n<p>CM&#061;corrcoef(SA);%\u8ba1\u7b97\u76f8\u5173\u7cfb\u6570\u77e9\u9635<br \/>\n[V,D]&#061;eig(CM);%\u8ba1\u7b97\u7279\u5f81\u503c\u548c\u7279\u5f81\u5411\u91cf<br \/>\nfor j&#061;1:b<br \/>\n    DS(j:1)&#061;D(b&#043;1-j,b&#043;1-j);%\u5bf9\u7279\u5f81\u503c\u6309\u964d\u5e8f\u6392\u5217<br \/>\nend<br \/>\nfor i&#061;1:b<br \/>\n    DS(i,2)&#061;DS(i,1)\/sum(DS(:,1))&#xff1b;%\u8d21\u732e\u7387<br \/>\n    DS(i,3)&#061;sum(DS(1:i,1))\/sum(DS(:,1));%\u7d2f\u8ba1\u8d21\u732e\u7387 <\/p>\n<p>corrcoef()\u51fd\u6570&#xff1a;\u8ba1\u7b97\u76f8\u5173\u7cfb\u6570\u77e9\u9635<\/p>\n<li>R &#061; corrcoef(A) \u8fd4\u56de A \u7684\u76f8\u5173\u7cfb\u6570\u7684\u77e9\u9635&#xff0c;\u5176\u4e2d A \u7684\u5217\u8868\u793a\u968f\u673a\u53d8\u91cf&#xff0c;\u884c\u8868\u793a\u89c2\u6d4b\u503c\u3002<\/li>\n<li>R &#061; corrcoef(A,B) \u8fd4\u56de\u4e24\u4e2a\u968f\u673a\u53d8\u91cf A \u548c B \u4e4b\u95f4\u7684\u7cfb\u6570\u3002<\/li>\n<li>[R,P] &#061; corrcoef(___) \u8fd4\u56de\u76f8\u5173\u7cfb\u6570\u7684\u77e9\u9635\u548c p \u503c\u77e9\u9635&#xff0c;\u7528\u4e8e\u6d4b\u8bd5\u89c2\u6d4b\u5230\u7684\u73b0\u8c61\u4e4b\u95f4\u6ca1\u6709\u5173\u7cfb\u7684\u5047\u8bbe&#xff08;\u539f\u5047\u8bbe&#xff09;\u3002\u6b64\u8bed\u6cd5\u53ef\u4e0e\u4e0a\u8ff0\u8bed\u6cd5\u4e2d\u7684\u4efb\u4f55\u53c2\u6570\u7ed3\u5408\u4f7f\u7528\u3002\u5982\u679c P \u7684\u975e\u5bf9\u89d2\u7ebf\u5143\u7d20\u5c0f\u4e8e\u663e\u8457\u6027\u6c34\u5e73&#xff08;\u9ed8\u8ba4\u503c\u4e3a 0.05&#xff09;&#xff0c;\u5219 R \u4e2d\u7684\u76f8\u5e94\u76f8\u5173\u6027\u88ab\u89c6\u4e3a\u663e\u8457\u3002\u5982\u679c R \u5305\u542b\u590d\u6570\u5143\u7d20&#xff0c;\u5219\u6b64\u8bed\u6cd5\u65e0\u6548\u3002<\/li>\n<li>[R,P,RL,RU] &#061; corrcoef(___) \u5305\u62ec\u77e9\u9635&#xff0c;\u8fd9\u4e9b\u77e9\u9635\u5305\u542b\u6bcf\u4e2a\u7cfb\u6570\u7684 95% \u7f6e\u4fe1\u533a\u95f4\u7684\u4e0b\u754c\u548c\u4e0a\u754c\u3002\u5982\u679c R \u5305\u542b\u590d\u6570\u5143\u7d20&#xff0c;\u5219\u6b64\u8bed\u6cd5\u65e0\u6548\u3002<\/li>\n<li>___ &#061; corrcoef(___,Name,Value) \u5728\u4e0a\u8ff0\u8bed\u6cd5\u7684\u57fa\u7840\u4e0a&#xff0c;\u901a\u8fc7\u4e00\u4e2a\u6216\u591a\u4e2a Name,Value \u5bf9\u7ec4\u53c2\u6570\u6307\u5b9a\u5176\u4ed6\u9009\u9879\u4ee5\u8fd4\u56de\u4efb\u610f\u8f93\u51fa\u53c2\u6570\u3002\u4f8b\u5982&#xff0c;corrcoef(A,&#039;Alpha&#039;,0.1) \u6307\u5b9a 90% \u7f6e\u4fe1\u533a\u95f4&#xff0c;corrcoef(A,&#039;Rows&#039;,&#039;complete&#039;) \u7701\u7565 A \u7684\u5305\u542b\u4e00\u4e2a\u6216\u591a\u4e2a NaN \u503c\u7684\u6240\u6709\u884c\u3002<\/li>\n<p>eig()\u51fd\u6570&#xff1a;\u8ba1\u7b97\u77e9\u9635\u7684\u7279\u5f81\u503c\u548c\u7279\u5f81\u5411\u91cf<\/p>\n<li>E&#061;eig(A)&#xff1a;\u6c42\u77e9\u9635A\u7684\u5168\u90e8\u7279\u5f81\u503c&#xff0c;\u6784\u6210\u5411\u91cfE\u3002<\/li>\n<li>[V,D]&#061;eig(A)&#xff1a;\u6c42\u77e9\u9635A\u7684\u5168\u90e8\u7279\u5f81\u503c&#xff0c;\u6784\u6210\u5bf9\u89d2\u9635D&#xff0c;\u5e76\u6c42A\u7684\u7279\u5f81\u5411\u91cf\u6784\u6210V\u7684\u5217\u5411\u91cf\u3002<\/li>\n<li>[V,D]&#061;eig(A,&#039;nobalance&#039;)&#xff1a;\u4e0e\u7b2c2\u79cd\u683c\u5f0f\u7c7b\u4f3c&#xff0c;\u4f46\u7b2c2\u79cd\u683c\u5f0f\u4e2d\u5148\u5bf9A\u4f5c\u76f8\u4f3c\u53d8\u6362\u540e\u6c42\u77e9\u9635A\u7684\u7279\u5f81\u503c\u548c\u7279\u5f81\u5411\u91cf&#xff0c;\u800c\u683c\u5f0f3\u76f4\u63a5\u6c42\u77e9\u9635A\u7684\u7279\u5f81\u503c\u548c\u7279\u5f81\u5411\u91cf\u3002<\/li>\n<li>E&#061;eig(A,B)&#xff1a;\u7531eig(A,B)\u8fd4\u56deN\u00d7N\u9636\u65b9\u9635A\u548cB\u7684N\u4e2a\u5e7f\u4e49\u7279\u5f81\u503c&#xff0c;\u6784\u6210\u5411\u91cfE\u3002<\/li>\n<li>[V,D]&#061;eig(A,B)&#xff1a;\u7531eig(A,B)\u8fd4\u56de\u65b9\u9635A\u548cB\u7684N\u4e2a\u5e7f\u4e49\u7279\u5f81\u503c&#xff0c;\u6784\u6210N\u00d7N\u9636\u5bf9\u89d2\u9635D&#xff0c;\u5176\u5bf9\u89d2\u7ebf\u4e0a\u7684N\u4e2a\u5143\u7d20\u5373\u4e3a\u76f8\u5e94\u7684\u5e7f\u4e49\u7279\u5f81\u503c&#xff0c;\u540c\u65f6\u5c06\u8fd4\u56de\u76f8\u5e94\u7684\u7279\u5f81\u5411\u91cf\u6784\u6210N\u00d7N\u9636\u6ee1\u79e9\u77e9\u9635&#xff0c;\u4e14\u6ee1\u8db3AV&#061;BVD\u3002<\/li>\n<ul>\n<li>\u9009\u62e9\u4e3b\u6210\u5206\u53ca\u5176\u5bf9\u5e94\u7684\u7279\u5f81\u5411\u91cf<\/li>\n<\/ul>\n<p>T&#061;0.9;<br \/>\nfor K&#061;1:b<br \/>\n    if DS(K,3)&gt;T<br \/>\n        Com_num&#061;K;<br \/>\n        break;<br \/>\n    end<br \/>\nend <\/p>\n<ul>\n<li>\u63d0\u53d6\u4e3b\u6210\u5206\u5bf9\u5e94\u7684\u7279\u5f81\u5411\u91cf<\/li>\n<\/ul>\n<p>for j&#061;1:Con_num<br \/>\n    PV(:,j)&#061;V(:,b&#043;1-j);<br \/>\nend <\/p>\n<ul>\n<li>\u8ba1\u7b97\u5404\u8bc4\u4ef7\u5bf9\u8c61\u7684\u4e3b\u6210\u5206\u5f97\u5206<\/li>\n<\/ul>\n<p>new_score&#061;SA*PV<br \/>\nfor i&#061;1:a<br \/>\n    total_score(i,1)&#061;sum(new_score(i,:));<br \/>\n    total_score(i,2)&#061;i;<br \/>\nend<br \/>\nresult_report&#061;[new_score,total_score];%\u5c06\u5404\u4e3b\u6210\u5206\u5f97\u5206\u4e0e\u603b\u5206\u653e\u5728\u540c\u4e00\u4e2a\u77e9\u9635<br \/>\nresult_report&#061;sortrows(result_report,-4);%\u5c06\u603b\u5206\u6309\u7167\u964d\u5e8f\u6392\u5217 <\/p>\n<p>sortrows()\u51fd\u6570&#xff1a;\u6392\u5e8f<\/p>\n<p>\u2460B &#061; sortrows(A)<\/p>\n<p>\u9ed8\u8ba4\u4f9d\u636e\u7b2c\u4e00\u5217\u7684\u6570\u503c\u6309\u5347\u5e8f\u6392\u5e8f\u3002<\/p>\n<p>\u2461B &#061; sortrows(A,column)<\/p>\n<p>\u4ece\u67d0\u4e00\u5217\u5f00\u59cb\u6bd4\u8f83\u6570\u503c\u5e76\u8fdb\u884c\u6392\u5e8f\u3002<\/p>\n<p>\u5982\u679ccolumn&gt;0\u5219\u5347\u5e8f\u6392\u5217<\/p>\n<p>\u5982\u679ccolumn&lt;0\u5219\u964d\u5e8f\u6392\u5217<\/p>\n<p>\u2462[B,index] &#061; sortrows(A,&#8230;)<\/p>\n<p>B\u8fd4\u56de\u6392\u5e8f\u540e\u7684\u77e9\u9635&#xff0c;index\u8fd4\u56de\u6392\u5e8f\u540e\u7684\u884c\u7d22\u5f15<\/p>\n<ul>\n<li>\u8f93\u51fa\u6a21\u578b\u53ca\u62a5\u544a\u7ed3\u679c<\/li>\n<\/ul>\n<p>disp(&#039;\u7279\u5f81\u503c\u53ca\u5176\u8d21\u732e\u7387\u3001\u7d2f\u8ba1\u8d21\u732e\u7387:&#039;)<br \/>\nDS<br \/>\ndisp(&#039;\u4fe1\u606f\u4fdd\u7559\u7387T\u5bf9\u5e94\u7684\u4e3b\u57ce\u5206\u6570\u4e0e\u7279\u5f81\u5411\u91cf:&#039;)<br \/>\nCom_num<br \/>\nPV<br \/>\ndisp(&#039;\u4e3b\u6210\u5206\u5f97\u5206\u53ca\u6392\u5e8f&#xff08;\u6309\u7b2c\u56db\u5217\u7684\u603b\u5206\u8fdb\u884c\u964d\u5e8f\u6392\u5e8f&#xff0c;\u524d\u4e09\u5217\u4e3a\u5404\u4e3b\u6210\u5206\u5f97\u5206&#xff0c;\u7b2c\u4e94\u5217\u4e3a\u4f01\u4e1a\u7f16\u53f7&#xff09;:&#039;)<br \/>\nresult_report <\/p>\n<h3 id=\"%E4%B8%89%E3%80%81%E8%BF%90%E7%94%A8PCA%E7%9A%84%E6%95%B0%E6%A8%A1%E8%AE%BA%E6%96%87\">\u4e09\u3001\u8fd0\u7528PCA\u7684\u6570\u6a21\u8bba\u6587<\/h3>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250811114440-6899d7a859d53.png\" \/><\/p>\n<p class=\"img-center\"><img decoding=\"async\" alt=\"\" src=\"2025-08-11znafcpaxaws.png\" \/><\/p>\n<p class=\"img-center\"><img decoding=\"async\" alt=\"\" src=\"2025-08-11dxy5tvmdrt3.png\" \/><\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"2025-08-11etpcmf3kmvk.png\" \/><\/p>\n<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"2025-08-11en1qkya54sn.png\" \/><\/p>\n<p class=\"img-center\"><img decoding=\"async\" alt=\"\" src=\"2025-08-11m1zp4rit22y.png\" \/><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb188\u6b21\u3002\u4e3b\u6210\u5206\u5206\u6790\u662f\u91c7\u7528\u4e00\u79cd\u6570\u5b66\u964d\u7ef4\u7684\u65b9\u6cd5\uff0c\u5176\u6240\u505a\u7684\u5c31\u662f\u8bbe\u6cd5\u5c06\u539f\u6765\u4f17\u591a\u5177\u6709\u4e00\u5b9a\u76f8\u5173\u6027\u7684\u53d8\u91cf\uff0c\u91cd\u65b0\u7ec4\u5408\u4e3a\u4e00\u7ec4\u65b0\u7684\u7efc\u5408\u53d8\u91cf\u6765\u4ee3\u66ff\u539f\u6765\u7684\u53d8\u91cf\u3002\u4e3b\u6210\u5206\u4e2a\u6570k\u7684\u9009\u53d6\uff0c\u4e3b\u8981\u6839\u636e\u4e3b\u6210\u5206\u7684\u7d2f\u8ba1\u8d21\u732e\u7387\u6765\u51b3\u5b9a\uff0c\u5373\u4e00\u822c\u8981\u6c42\u7d2f\u8ba1\u8d21\u732e\u7387\u8fbe\u523085%\u4ee5\u4e0a\uff0c\u8fd9\u6837\u624d\u80fd\u4fdd\u8bc1\u7efc\u5408\u53d8\u91cf\u80fd\u5305\u542b\u539f\u59cb\u53d8\u91cf\u7684\u7edd\u5927\u591a\u6570\u4fe1\u606f\u3002\u5f53\u53ea\u6709\u4e00\u4e2a\u8f93\u51fa\u53c2\u6570\u65f6\uff0c\u8fd4\u56de\u4e00\u4e2a\u884c\u5411\u91cf\uff0c\u8be5\u884c\u5411\u91cf\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\u65f6\u77e9\u9635\u7684\u884c\u6570\uff0c\u7b2c\u4e8c\u4e2a\u5143\u7d20\u662f\u77e9\u9635\u7684\u5217\u6570\u3002\u5f53\u6709\u4e24\u4e2a\u8f93\u51fa\u53c2\u6570\u65f6\uff0c\u5c06\u77e9\u9635\u7684\u884c\u6570\u8fd4\u56de\u5230\u7b2c\u4e00\u4e2a\u8f93\u51fa\u53d8\u91cfr\uff0c\u5c06\u77e9\u9635\u7684\u5217\u6570\u8fd4\u56de\u5230\u7b2c\u4e8c\u4e2a\u8f93\u51fa\u53d8\u91cfc\u3002B\u8fd4\u56de\u6392\u5e8f\u540e\u7684\u77e9\u9635\uff0cindex\u8fd4\u56de\u6392\u5e8f\u540e\u7684\u884c\u7d22\u5f15\u3002<\/p>\n","protected":false},"author":2,"featured_media":52805,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[1284,371,305],"topic":[],"class_list":["post-52825","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-matlab","tag-371","tag-305"],"yoast_head":"<!-- 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