{"id":55628,"date":"2024-10-21T12:45:05","date_gmt":"2024-10-21T15:45:05","guid":{"rendered":"https:\/\/mindthegraph.com\/blog\/?p=55628"},"modified":"2024-10-21T12:45:07","modified_gmt":"2024-10-21T15:45:07","slug":"pearson-correlation","status":"publish","type":"post","link":"https:\/\/mindthegraph.com\/blog\/zh\/pearson-correlation\/","title":{"rendered":"<strong>\u76ae\u5c14\u900a\u76f8\u5173\u6027\uff1a\u4e86\u89e3\u5173\u7cfb\u80cc\u540e\u7684\u6570\u5b66<\/strong>"},"content":{"rendered":"<p>\u76ae\u5c14\u900a\u76f8\u5173\u6027\u662f\u4e00\u79cd\u57fa\u672c\u7684\u7edf\u8ba1\u65b9\u6cd5\uff0c\u7528\u4e8e\u4e86\u89e3\u4e24\u4e2a\u8fde\u7eed\u53d8\u91cf\u4e4b\u95f4\u7684\u7ebf\u6027\u5173\u7cfb\u3002\u901a\u8fc7\u91cf\u5316\u8fd9\u4e9b\u5173\u7cfb\u7684\u5f3a\u5ea6\u548c\u65b9\u5411\uff0c\u76ae\u5c14\u900a\u76f8\u5173\u7cfb\u6570\u63d0\u4f9b\u4e86\u5e7f\u6cdb\u5e94\u7528\u4e8e\u5404\u4e2a\u9886\u57df\u7684\u91cd\u8981\u89c1\u89e3\uff0c\u5305\u62ec\u7814\u7a76\u3001\u6570\u636e\u79d1\u5b66\u548c\u65e5\u5e38\u51b3\u7b56\u3002\u672c\u6587\u5c06\u89e3\u91ca\u76ae\u5c14\u900a\u76f8\u5173\u6027\u7684\u57fa\u672c\u539f\u7406\uff0c\u5305\u62ec\u5176\u5b9a\u4e49\u3001\u8ba1\u7b97\u65b9\u6cd5\u548c\u5b9e\u9645\u5e94\u7528\u3002\u6211\u4eec\u5c06\u63a2\u8ba8\u8fd9\u4e00\u7edf\u8ba1\u5de5\u5177\u5982\u4f55\u63ed\u793a\u6570\u636e\u4e2d\u7684\u6a21\u5f0f\u3001\u4e86\u89e3\u5176\u5c40\u9650\u6027\u7684\u91cd\u8981\u6027\u4ee5\u53ca\u51c6\u786e\u89e3\u91ca\u7684\u6700\u4f73\u5b9e\u8df5\u3002<\/p>\n\n\n\n<h2><strong>\u4ec0\u4e48\u662f\u76ae\u5c14\u900a\u76f8\u5173\u6027\uff1f<\/strong><\/h2>\n\n\n\n<p>\u76ae\u5c14\u900a\u76f8\u5173\u7cfb\u6570\u6216\u76ae\u5c14\u900a r \u53ef\u4ee5\u91cf\u5316\u4e24\u4e2a\u8fde\u7eed\u53d8\u91cf\u4e4b\u95f4\u7ebf\u6027\u5173\u7cfb\u7684\u5f3a\u5ea6\u548c\u65b9\u5411\u3002\u8303\u56f4\u4ece <strong>-1\u81f31<\/strong>\u8be5\u7cfb\u6570\u8868\u793a\u6563\u70b9\u56fe\u4e2d\u7684\u6570\u636e\u70b9\u4e0e\u76f4\u7ebf\u7684\u543b\u5408\u7a0b\u5ea6\u3002<\/p>\n\n\n\n<ul>\n<li>\u6570\u503c\u4e3a 1 \u610f\u5473\u7740\u5b8c\u5168\u7684\u6b63\u7ebf\u6027\u5173\u7cfb\uff0c\u5373\u968f\u7740\u4e00\u4e2a\u53d8\u91cf\u7684\u589e\u52a0\uff0c\u53e6\u4e00\u4e2a\u53d8\u91cf\u4e5f\u4f1a\u6301\u7eed\u589e\u52a0\u3002<\/li>\n\n\n\n<li>\u503c\u4e3a <strong>-1<\/strong> \u8868\u793a <strong>\u5b8c\u7f8e\u7684\u8d1f\u7ebf\u6027\u5173\u7cfb<\/strong>\uff0c\u5176\u4e2d\u4e00\u4e2a\u53d8\u91cf\u589e\u5927\uff0c\u53e6\u4e00\u4e2a\u53d8\u91cf\u51cf\u5c0f\u3002<\/li>\n\n\n\n<li>\u503c\u4e3a <strong>0<\/strong> \u5efa\u8bae <strong>\u65e0\u7ebf\u6027\u76f8\u5173<\/strong>\u8fd9\u610f\u5473\u7740\u53d8\u91cf\u4e4b\u95f4\u4e0d\u5b58\u5728\u7ebf\u6027\u5173\u7cfb\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u76ae\u5c14\u900a\u76f8\u5173\u6027\u88ab\u5e7f\u6cdb\u5e94\u7528\u4e8e\u79d1\u5b66\u3001\u7ecf\u6d4e\u5b66\u548c\u793e\u4f1a\u79d1\u5b66\u9886\u57df\uff0c\u4ee5\u786e\u5b9a\u4e24\u4e2a\u53d8\u91cf\u662f\u5426\u540c\u65f6\u79fb\u52a8\u4ee5\u53ca\u79fb\u52a8\u7684\u7a0b\u5ea6\u3002\u5b83\u6709\u52a9\u4e8e\u8bc4\u4f30\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u8054\u7a0b\u5ea6\uff0c\u662f\u6570\u636e\u5206\u6790\u548c\u89e3\u91ca\u7684\u91cd\u8981\u5de5\u5177\u3002<\/p>\n\n\n\n<h3><strong>\u5982\u4f55\u8ba1\u7b97\u76ae\u5c14\u900a\u76f8\u5173\u7cfb\u6570<\/strong><\/h3>\n\n\n\n<p>\u76ae\u5c14\u900a\u76f8\u5173\u7cfb\u6570 (r) \u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\uff1a<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"1024\" height=\"461\" src=\"https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/10\/pearson-correlation-coefficient-formula.jpg\" alt=\"\u76ae\u5c14\u900a\u76f8\u5173\u7cfb\u6570\u516c\u5f0f\u56fe\u7247\uff0c\u663e\u793a\u7528\u4e8e\u6d4b\u91cf\u4e24\u4e2a\u53d8\u91cf\u4e4b\u95f4\u7ebf\u6027\u5173\u7cfb\u7684\u65b9\u7a0b\u3002\" class=\"wp-image-55629\" srcset=\"https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/10\/pearson-correlation-coefficient-formula.jpg 1024w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/10\/pearson-correlation-coefficient-formula-300x135.jpg 300w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/10\/pearson-correlation-coefficient-formula-768x346.jpg 768w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/10\/pearson-correlation-coefficient-formula-18x8.jpg 18w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/10\/pearson-correlation-coefficient-formula-100x45.jpg 100w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">\u76ae\u5c14\u900a\u76f8\u5173\u7cfb\u6570\u516c\u5f0f\u53ca\u5173\u952e\u53d8\u91cf\u89e3\u91ca\u3002<\/figcaption><\/figure><\/div>\n\n\n<p>\u5728\u54ea\u91cc\uff1f<\/p>\n\n\n\n<ul>\n<li><em>x<\/em> \u548c <em>y<\/em> \u662f\u88ab\u6bd4\u8f83\u7684\u4e24\u4e2a\u53d8\u91cf\u3002<\/li>\n\n\n\n<li><em>n<\/em> \u662f\u6570\u636e\u70b9\u7684\u6570\u91cf\u3002<\/li>\n\n\n\n<li>\u2211<em>xy<\/em> \u7684\u4e58\u79ef\u4e4b\u548c\u3002<em>x<\/em> \u548c <em>y<\/em>).<\/li>\n\n\n\n<li>\u2211<em>x<\/em><sup>2<\/sup> \u548c \u2211<em>y<\/em><sup>2<\/sup> \u662f\u6bcf\u4e2a\u53d8\u91cf\u7684\u5e73\u65b9\u548c\u3002<\/li>\n<\/ul>\n\n\n\n<p><strong>\u9010\u6b65\u8ba1\u7b97\uff1a<\/strong><\/p>\n\n\n\n<ol>\n<li><strong>\u6536\u96c6\u6570\u636e\uff1a<\/strong> \u6536\u96c6\u53d8\u91cf\u7684\u914d\u5bf9\u503c <em>x<\/em> \u548c <em>y<\/em>.<br>\u4f8b\u5b50\u3002<\/li>\n<\/ol>\n\n\n\n<p><em>x<\/em>=[1,2,3]<\/p>\n\n\n\n<p><em>y<\/em>=[4,5,6]<\/p>\n\n\n\n<ol start=\"2\">\n<li><strong>\u8ba1\u7b97 x \u548c y \u7684\u548c\uff1a<\/strong><\/li>\n<\/ol>\n\n\n\n<p>\u2211<em>x<\/em> \u662f <em>x<\/em>.<\/p>\n\n\n\n<p>\u2211<em>y<\/em> \u662f <em>y<\/em>.<\/p>\n\n\n\n<p>\u4f8b\u5982<br>\u2211<em>x<\/em>=1+2+3=6<br>\u2211<em>y<\/em>=4+5+6=15<\/p>\n\n\n\n<ol start=\"3\">\n<li><strong>\u4e58\u6cd5 <\/strong><strong><em>x<\/em><\/strong><strong> \u548c <\/strong><strong><em>y<\/em><\/strong><strong> \u6bcf\u5bf9<\/strong><\/li>\n<\/ol>\n\n\n\n<p>\u5c06\u6bcf\u5bf9 x \u503c\u548c y \u503c\u76f8\u4e58\uff0c\u6c42\u51fa \u2211<em>xy<\/em>.<\/p>\n\n\n\n<p><em>xy<\/em>=[1\u00d74,2\u00d75,3\u00d76]=[4,10,18]<br>\u2211<em>xy<\/em>=4+10+18=32<\/p>\n\n\n\n<ol start=\"4\">\n<li><strong>\u6bcf\u4e2a x \u503c\u548c y \u503c\u7684\u5e73\u65b9\uff1a<\/strong><\/li>\n<\/ol>\n\n\n\n<p>\u6c42\u51fa\u6bcf\u4e2a x \u503c\u548c y \u503c\u7684\u5e73\u65b9\uff0c\u7136\u540e\u6c42\u548c\u5f97\u51fa \u2211<em>x<\/em><sup>2<\/sup> \u548c \u2211<em>y<\/em><sup>2<\/sup>.<\/p>\n\n\n\n<p><em>x<\/em><sup>2<\/sup>=[1<sup>2<\/sup>,2<sup>2<\/sup>,3<sup>2<\/sup>]=[1,4,9]<br>\u2211<em>x<\/em><sup>2<\/sup>=1+4+9=14<br><em>y<\/em><sup>2<\/sup>=[4<sup>2<\/sup>,5<sup>2<\/sup>,6<sup>2<\/sup>]=[16,25,36]<br>\u2211<em>y<\/em><sup>2<\/sup>=16+25+36=77<\/p>\n\n\n\n<ol start=\"5\">\n<li><strong>\u5c06\u6570\u503c\u8f93\u5165\u76ae\u5c14\u900a\u516c\u5f0f\uff1a<\/strong> \u73b0\u5728\uff0c\u5c06\u8fd9\u4e9b\u503c\u4ee3\u5165\u76ae\u5c14\u900a\u76f8\u5173\u516c\u5f0f\uff1a<\/li>\n<\/ol>\n\n\n\n<p><br>r = (n\u2211<em>xy<\/em> - \u2211<em>x<\/em>\u2211<em>y<\/em>)\/ \u221a[(n\u2211<em>x<\/em>\u00b2 - (\u2211<em>x<\/em>)\u00b2) * (n\u2211<em>y<\/em>\u00b2 - (\u2211<em>y<\/em>)\u00b2)]<\/p>\n\n\n\n<p>r = (3 \u00d7 32 - 6 \u00d7 15) \/ \u221a[(3 \u00d7 14 - (6)\u00b2) \u00d7 (3 \u00d7 77 - (15)\u00b2)]<\/p>\n\n\n\n<p>r = (96 - 90) \/ \u221a[(42 - 36) \u00d7 (231 - 225)]<\/p>\n\n\n\n<p>r = 6 \/ \u221a[6 \u00d7 6]<\/p>\n\n\n\n<p>r = 6 \/ 6 = 1<\/p>\n\n\n\n<p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u76ae\u5c14\u900a\u76f8\u5173\u7cfb\u6570\u4e3a <strong>1<\/strong>\u8868\u660e\u53d8\u91cf\u4e4b\u95f4\u5b58\u5728\u5b8c\u7f8e\u7684\u6b63\u7ebf\u6027\u5173\u7cfb <em>x<\/em> \u548c <em>y<\/em>.<\/p>\n\n\n\n<p>\u8fd9\u79cd\u5faa\u5e8f\u6e10\u8fdb\u7684\u65b9\u6cd5\u53ef\u7528\u4e8e\u4efb\u4f55\u6570\u636e\u96c6\uff0c\u4ee5\u624b\u52a8\u8ba1\u7b97\u76ae\u5c14\u900a\u76f8\u5173\u6027\u3002\u4e0d\u8fc7\uff0c\u50cf Excel \u8fd9\u6837\u7684\u8f6f\u4ef6\u5de5\u5177\u4e5f\u53ef\u4ee5\u3001<a href=\"https:\/\/mindthegraph.com\/blog\/python-in-research\/\"> Python<\/a>\u5bf9\u4e8e\u8f83\u5927\u578b\u7684\u6570\u636e\u96c6\uff0c\u901a\u5e38\u53ef\u4ee5\u901a\u8fc7\u8f6f\u4ef6\u5305\u6216\u7edf\u8ba1\u8f6f\u4ef6\u5305\u81ea\u52a8\u5b8c\u6210\u8fd9\u4e00\u8fc7\u7a0b\u3002<\/p>\n\n\n\n<h2><strong>\u4e3a\u4ec0\u4e48\u76ae\u5c14\u900a\u76f8\u5173\u6027\u5728\u7edf\u8ba1\u5206\u6790\u4e2d\u5f88\u91cd\u8981\uff1f<\/strong><\/h2>\n\n\n\n<h3><strong>\u7814\u7a76\u65b9\u9762<\/strong><\/h3>\n\n\n\n<p>\u01de\u01de\u01de <strong>\u76ae\u5c14\u900a\u76f8\u5173\u6027<\/strong> \u662f\u4e00\u79cd\u91cd\u8981\u7684\u7814\u7a76\u7edf\u8ba1\u5de5\u5177\uff0c\u7528\u4e8e\u8bc6\u522b\u548c\u91cf\u5316\u4e24\u4e2a\u8fde\u7eed\u53d8\u91cf\u4e4b\u95f4\u7ebf\u6027\u5173\u7cfb\u7684\u5f3a\u5ea6\u548c\u65b9\u5411\u3002\u5b83\u53ef\u4ee5\u5e2e\u52a9\u7814\u7a76\u4eba\u5458\u4e86\u89e3\u4e24\u4e2a\u53d8\u91cf\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u5173\u8054\u4ee5\u53ca\u5173\u8054\u7684\u5f3a\u5ea6\uff0c\u4ece\u800c\u6df1\u5165\u4e86\u89e3\u6570\u636e\u96c6\u7684\u6a21\u5f0f\u548c\u8d8b\u52bf\u3002<\/p>\n\n\n\n<p>\u76ae\u5c14\u900a\u76f8\u5173\u6027\u53ef\u4ee5\u5e2e\u52a9\u7814\u7a76\u4eba\u5458\u786e\u5b9a\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u662f\u5426\u4e00\u81f4\uff0c\u662f\u6b63\u76f8\u5173\u8fd8\u662f\u8d1f\u76f8\u5173\u3002\u4f8b\u5982\uff0c\u5728\u4e00\u4e2a\u6d4b\u91cf\u5b66\u4e60\u65f6\u95f4\u548c\u8003\u8bd5\u6210\u7ee9\u7684\u6570\u636e\u96c6\u4e2d\uff0c\u5982\u679c\u5b58\u5728\u5f88\u5f3a\u7684\u6b63\u76f8\u5173\u6027\uff0c\u5219\u8868\u660e\u5b66\u4e60\u65f6\u95f4\u7684\u589e\u52a0\u4e0e\u8003\u8bd5\u6210\u7ee9\u7684\u63d0\u9ad8\u6709\u5173\u3002\u53cd\u4e4b\uff0c\u8d1f\u76f8\u5173\u5219\u8868\u660e\u968f\u7740\u4e00\u4e2a\u53d8\u91cf\u7684\u589e\u52a0\uff0c\u53e6\u4e00\u4e2a\u53d8\u91cf\u5219\u4f1a\u4e0b\u964d\u3002<\/p>\n\n\n\n<p><strong>\u5728\u4e0d\u540c\u7814\u7a76\u9886\u57df\u7684\u5e94\u7528\u5b9e\u4f8b\uff1a<\/strong><\/p>\n\n\n\n<p><strong>\u5fc3\u7406\u5b66<\/strong> \u76ae\u5c14\u900a\u76f8\u5173\u6027\u901a\u5e38\u7528\u4e8e\u63a2\u8ba8\u538b\u529b\u6c34\u5e73\u548c\u8ba4\u77e5\u80fd\u529b\u7b49\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u7814\u7a76\u4eba\u5458\u53ef\u4ee5\u8bc4\u4f30\u538b\u529b\u7684\u589e\u52a0\u4f1a\u5982\u4f55\u5f71\u54cd\u8bb0\u5fc6\u529b\u6216\u89e3\u51b3\u95ee\u9898\u7684\u80fd\u529b\u3002<\/p>\n\n\n\n<p><strong>\u7ecf\u6d4e\u5b66<\/strong> \u7ecf\u6d4e\u5b66\u5bb6\u5229\u7528\u76ae\u5c14\u900a\u76f8\u5173\u6027\u7814\u7a76\u6536\u5165\u4e0e\u6d88\u8d39\u6216\u901a\u8d27\u81a8\u80c0\u4e0e\u5931\u4e1a\u7b49\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u5e2e\u52a9\u4ed6\u4eec\u4e86\u89e3\u7ecf\u6d4e\u56e0\u7d20\u5982\u4f55\u76f8\u4e92\u5f71\u54cd\u3002<\/p>\n\n\n\n<p><strong>\u533b\u5b66\u3002<\/strong> \u5728\u533b\u5b66\u7814\u7a76\u4e2d\uff0c\u76ae\u5c14\u900a\u76f8\u5173\u6027\u53ef\u4ee5\u786e\u5b9a\u4e0d\u540c\u5065\u5eb7\u6307\u6807\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u4f8b\u5982\uff0c\u7814\u7a76\u4eba\u5458\u53ef\u4ee5\u8c03\u67e5\u8840\u538b\u6c34\u5e73\u4e0e\u5fc3\u810f\u75c5\u98ce\u9669\u4e4b\u95f4\u7684\u76f8\u5173\u6027\uff0c\u4ece\u800c\u5e2e\u52a9\u5236\u5b9a\u65e9\u671f\u68c0\u6d4b\u548c\u9884\u9632\u4fdd\u5065\u7b56\u7565\u3002<\/p>\n\n\n\n<p><strong>\u73af\u5883\u79d1\u5b66\uff1a<\/strong> \u76ae\u5c14\u900a\u76f8\u5173\u6027\u6709\u52a9\u4e8e\u63a2\u7d22\u6e29\u5ea6\u548c\u4f5c\u7269\u4ea7\u91cf\u7b49\u73af\u5883\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u4f7f\u79d1\u5b66\u5bb6\u80fd\u591f\u6a21\u62df\u6c14\u5019\u53d8\u5316\u5bf9\u519c\u4e1a\u7684\u5f71\u54cd\u3002<\/p>\n\n\n\n<p>\u603b\u4e4b\uff0c\u76ae\u5c14\u900a\u76f8\u5173\u6027\u662f\u4e0d\u540c\u7814\u7a76\u9886\u57df\u7684\u91cd\u8981\u5de5\u5177\uff0c\u53ef\u7528\u4e8e\u53d1\u73b0\u6709\u610f\u4e49\u7684\u5173\u7cfb\uff0c\u5e76\u6307\u5bfc\u672a\u6765\u7684\u7814\u7a76\u3001\u5e72\u9884\u6216\u653f\u7b56\u51b3\u7b56\u3002<\/p>\n\n\n\n<h3><strong>\u5728\u65e5\u5e38\u751f\u6d3b\u4e2d<\/strong><\/h3>\n\n\n\n<p>\u7406\u89e3 <strong>\u76ae\u5c14\u900a\u76f8\u5173\u6027<\/strong> \u8fd9\u5bf9\u65e5\u5e38\u51b3\u7b56\u975e\u5e38\u6709\u7528\uff0c\u56e0\u4e3a\u5b83\u6709\u52a9\u4e8e\u8bc6\u522b\u5f71\u54cd\u6211\u4eec\u65e5\u5e38\u5de5\u4f5c\u548c\u9009\u62e9\u7684\u4e0d\u540c\u53d8\u91cf\u4e4b\u95f4\u7684\u6a21\u5f0f\u548c\u5173\u7cfb\u3002<\/p>\n\n\n\n<p><strong>\u5b9e\u9645\u5e94\u7528\u548c\u793a\u4f8b\uff1a<\/strong><\/p>\n\n\n\n<p><strong>\u5065\u8eab\u4e0e\u5065\u5eb7\uff1a<\/strong> \u76ae\u5c14\u900a\u76f8\u5173\u6027\u53ef\u7528\u4e8e\u8bc4\u4f30\u953b\u70bc\u9891\u7387\u548c\u4f53\u91cd\u51cf\u8f7b\u7b49\u4e0d\u540c\u56e0\u7d20\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u4f8b\u5982\uff0c\u5bf9\u953b\u70bc\u4e60\u60ef\u548c\u4f53\u91cd\u8fdb\u884c\u957f\u671f\u8ddf\u8e2a\u53ef\u80fd\u4f1a\u53d1\u73b0\uff0c\u7ecf\u5e38\u53c2\u52a0\u4f53\u80b2\u953b\u70bc\u548c\u4f53\u91cd\u51cf\u8f7b\u4e4b\u95f4\u5b58\u5728\u6b63\u76f8\u5173\u5173\u7cfb\u3002<\/p>\n\n\n\n<p><strong>\u4e2a\u4eba\u7406\u8d22\uff1a<\/strong> \u5728\u9884\u7b97\u7f16\u5236\u4e2d\uff0c\u76ae\u5c14\u900a\u76f8\u5173\u6027\u53ef\u4ee5\u5e2e\u52a9\u5206\u6790\u652f\u51fa\u4e60\u60ef\u548c\u50a8\u84c4\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u5982\u679c\u6709\u4eba\u8ddf\u8e2a\u81ea\u5df1\u7684\u6708\u652f\u51fa\u548c\u50a8\u84c4\u7387\uff0c\u4ed6\u4eec\u53ef\u80fd\u4f1a\u53d1\u73b0\u4e24\u8005\u4e4b\u95f4\u5b58\u5728\u8d1f\u76f8\u5173\u5173\u7cfb\uff0c\u8fd9\u8868\u660e\u968f\u7740\u652f\u51fa\u7684\u589e\u52a0\uff0c\u50a8\u84c4\u4f1a\u51cf\u5c11\u3002<\/p>\n\n\n\n<p><strong>\u5929\u6c14\u4e0e\u5fc3\u60c5<\/strong> \u76f8\u5173\u6027\u7684\u53e6\u4e00\u4e2a\u65e5\u5e38\u5e94\u7528\u662f\u4e86\u89e3\u5929\u6c14\u5bf9\u60c5\u7eea\u7684\u5f71\u54cd\u3002\u4f8b\u5982\uff0c\u6674\u5929\u4e0e\u60c5\u7eea\u6539\u5584\u4e4b\u95f4\u53ef\u80fd\u5b58\u5728\u6b63\u76f8\u5173\uff0c\u800c\u9634\u96e8\u5929\u5219\u53ef\u80fd\u4e0e\u7cbe\u529b\u4e0b\u964d\u6216\u60b2\u4f24\u6709\u5173\u3002<\/p>\n\n\n\n<p><strong>\u65f6\u95f4\u7ba1\u7406\uff1a<\/strong> \u901a\u8fc7\u6bd4\u8f83\u82b1\u5728\u7279\u5b9a\u4efb\u52a1\u4e0a\u7684\u65f6\u95f4\uff08\u5982\u5b66\u4e60\u65f6\u95f4\uff09\u548c\u751f\u4ea7\u7387\u6216\u7ee9\u6548\u7ed3\u679c\uff08\u5982\u6210\u7ee9\u6216\u5de5\u4f5c\u6548\u7387\uff09\uff0c\u76ae\u5c14\u900a\u76f8\u5173\u6027\u53ef\u4ee5\u5e2e\u52a9\u4e2a\u4eba\u4e86\u89e3\u65f6\u95f4\u5206\u914d\u5982\u4f55\u5f71\u54cd\u7ed3\u679c\u3002<\/p>\n\n\n\n<p><strong>\u5728\u5e38\u89c1\u60c5\u51b5\u4e0b\u4e86\u89e3\u76f8\u5173\u6027\u7684\u597d\u5904\uff1a<\/strong><\/p>\n\n\n\n<p><strong>\u6539\u8fdb\u51b3\u7b56\uff1a<\/strong> \u4e86\u89e3\u53d8\u91cf\u4e4b\u95f4\u7684\u8054\u7cfb\u53ef\u4ee5\u8ba9\u4e2a\u4eba\u505a\u51fa\u660e\u667a\u7684\u51b3\u5b9a\u3002\u4f8b\u5982\uff0c\u4e86\u89e3\u996e\u98df\u4e0e\u5065\u5eb7\u4e4b\u95f4\u7684\u76f8\u5173\u6027\u53ef\u4ee5\u5e2e\u52a9\u4eba\u4eec\u517b\u6210\u66f4\u597d\u7684\u996e\u98df\u4e60\u60ef\uff0c\u4fc3\u8fdb\u8eab\u5fc3\u5065\u5eb7\u3002<\/p>\n\n\n\n<p><strong>\u4f18\u5316\u6210\u679c\uff1a<\/strong> \u4eba\u4eec\u53ef\u4ee5\u5229\u7528\u76f8\u5173\u6027\u6765\u4f18\u5316\u81ea\u5df1\u7684\u4f5c\u606f\u65f6\u95f4\uff0c\u6bd4\u5982\u53d1\u73b0\u7761\u7720\u65f6\u95f4\u4e0e\u5de5\u4f5c\u6548\u7387\u7684\u76f8\u5173\u6027\uff0c\u5e76\u76f8\u5e94\u5730\u8c03\u6574\u7761\u7720\u65f6\u95f4\uff0c\u4ee5\u6700\u5927\u9650\u5ea6\u5730\u63d0\u9ad8\u6548\u7387\u3002<\/p>\n\n\n\n<p><strong>\u8bc6\u522b\u6a21\u5f0f\uff1a<\/strong> \u8ba4\u8bc6\u5230\u65e5\u5e38\u6d3b\u52a8\u7684\u6a21\u5f0f\uff08\u5982\u5c4f\u5e55\u65f6\u95f4\u4e0e\u773c\u775b\u75b2\u52b3\u4e4b\u95f4\u7684\u76f8\u5173\u6027\uff09\u53ef\u4ee5\u5e2e\u52a9\u4e2a\u4eba\u6539\u53d8\u884c\u4e3a\uff0c\u51cf\u5c11\u8d1f\u9762\u5f71\u54cd\uff0c\u63d0\u9ad8\u6574\u4f53\u751f\u6d3b\u8d28\u91cf\u3002<\/p>\n\n\n\n<p>\u5728\u65e5\u5e38\u751f\u6d3b\u4e2d\u5e94\u7528\u76ae\u5c14\u900a\u76f8\u5173\u6027\u7684\u6982\u5ff5\uff0c\u53ef\u4ee5\u8ba9\u4eba\u4eec\u6df1\u5165\u4e86\u89e3\u65e5\u5e38\u6d3b\u52a8\u7684\u4e0d\u540c\u65b9\u9762\u662f\u5982\u4f55\u76f8\u4e92\u4f5c\u7528\u7684\uff0c\u4ece\u800c\u4f7f\u4ed6\u4eec\u80fd\u591f\u505a\u51fa\u79ef\u6781\u4e3b\u52a8\u7684\u9009\u62e9\uff0c\u589e\u8fdb\u5065\u5eb7\u3001\u8d22\u52a1\u548c\u798f\u7949\u3002<\/p>\n\n\n\n<h2><strong>\u89e3\u8bfb\u76ae\u5c14\u900a\u76f8\u5173\u6027<\/strong><\/h2>\n\n\n\n<h3><strong>\u4ef7\u503c\u548c\u610f\u4e49<\/strong><\/h3>\n\n\n\n<p>\u01de\u01de\u01de <strong>\u76ae\u5c14\u900a\u76f8\u5173\u7cfb\u6570<\/strong> (r) \u4ece <strong>-1\u81f31<\/strong>\u6bcf\u4e2a\u503c\u90fd\u80fd\u8ba9\u4eba\u4e86\u89e3\u4e24\u4e2a\u53d8\u91cf\u4e4b\u95f4\u5173\u7cfb\u7684\u6027\u8d28\u548c\u5f3a\u5ea6\u3002\u4e86\u89e3\u8fd9\u4e9b\u503c\u6709\u52a9\u4e8e\u89e3\u91ca\u76f8\u5173\u6027\u7684\u65b9\u5411\u548c\u7a0b\u5ea6\u3002<\/p>\n\n\n\n<p><strong>\u7cfb\u6570\u503c\uff1a<\/strong><\/p>\n\n\n\n<p><strong>1<\/strong>:\u503c\u4e3a <strong>+1<\/strong> \u8868\u793a <strong>\u5b8c\u7f8e\u7684\u6b63\u7ebf\u6027\u5173\u7cfb<\/strong> \u5373\u968f\u7740\u4e00\u4e2a\u53d8\u91cf\u7684\u589e\u52a0\uff0c\u53e6\u4e00\u4e2a\u53d8\u91cf\u4e5f\u4f1a\u5b8c\u5168\u6210\u6bd4\u4f8b\u5730\u589e\u52a0\u3002<\/p>\n\n\n\n<p><strong>-1<\/strong>:\u503c\u4e3a <strong>-1<\/strong> \u8868\u793a <strong>\u5b8c\u7f8e\u7684\u8d1f\u7ebf\u6027\u5173\u7cfb<\/strong>\u968f\u7740\u4e00\u4e2a\u53d8\u91cf\u7684\u589e\u5927\uff0c\u53e6\u4e00\u4e2a\u53d8\u91cf\u4e5f\u4f1a\u6210\u6b63\u6bd4\u5730\u51cf\u5c0f\u3002<\/p>\n\n\n\n<p><strong>0<\/strong>:\u503c\u4e3a <strong>0<\/strong> \u5efa\u8bae <strong>\u65e0\u7ebf\u6027\u5173\u7cfb<\/strong> \u8fd9\u610f\u5473\u7740\u4e00\u4e2a\u53d8\u91cf\u7684\u53d8\u5316\u5e76\u4e0d\u80fd\u9884\u6d4b\u53e6\u4e00\u4e2a\u53d8\u91cf\u7684\u53d8\u5316\u3002<\/p>\n\n\n\n<p><strong>\u6b63\u76f8\u5173\u3001\u8d1f\u76f8\u5173\u548c\u96f6\u76f8\u5173\uff1a<\/strong><\/p>\n\n\n\n<p><strong>\u6b63\u76f8\u5173<\/strong>:\u4f55\u65f6 <strong>r \u4e3a\u6b63\u503c<\/strong> (\u4f8b\u5982 0.5\uff09\uff0c\u8fd9\u610f\u5473\u7740\u8fd9\u4e24\u4e2a\u53d8\u91cf\u8d8b\u4e8e\u540c\u65b9\u5411\u79fb\u52a8\u3002\u4f8b\u5982\uff0c\u968f\u7740\u6c14\u6e29\u7684\u5347\u9ad8\uff0c\u51b0\u6dc7\u6dcb\u7684\u9500\u91cf\u53ef\u80fd\u4f1a\u589e\u52a0\uff0c\u4ece\u800c\u663e\u793a\u51fa\u6b63\u76f8\u5173\u6027\u3002<\/p>\n\n\n\n<p><strong>\u8d1f\u76f8\u5173<\/strong>:\u4f55\u65f6 <strong>r \u4e3a\u8d1f\u6570<\/strong> (\u4f8b\u5982\uff0c-0.7\uff09\uff0c\u5219\u8868\u660e\u53d8\u91cf\u7684\u8fd0\u52a8\u65b9\u5411\u76f8\u53cd\u3002\u4f8b\u5982\uff0c\u8fd0\u52a8\u9891\u7387\u4e0e\u4f53\u8102\u767e\u5206\u6bd4\u4e4b\u95f4\u7684\u5173\u7cfb\u662f\uff1a\u968f\u7740\u8fd0\u52a8\u91cf\u7684\u589e\u52a0\uff0c\u4f53\u8102\u8d8b\u4e8e\u51cf\u5c11\u3002<\/p>\n\n\n\n<p><strong>\u96f6\u76f8\u5173\u6027<\/strong>:\u4e00\u4e2a <strong>r of 0<\/strong> \u8fd9\u610f\u5473\u7740 <strong>\u65e0\u660e\u663e\u7ebf\u6027\u5173\u7cfb<\/strong> \u53d8\u91cf\u4e4b\u95f4\u7684\u7ebf\u6027\u76f8\u5173\u3002\u4f8b\u5982\uff0c\u978b\u7801\u4e0e\u667a\u529b\u4e4b\u95f4\u53ef\u80fd\u6ca1\u6709\u7ebf\u6027\u5173\u7cfb\u3002<\/p>\n\n\n\n<p>\u4e00\u822c\u6765\u8bf4\u3002<\/p>\n\n\n\n<p><strong>0.7 \u81f3 1 \u6216 -0.7 \u81f3 -1<\/strong> \u8868\u793a <strong>\u575a\u5f3a<\/strong> \u76f8\u5173\u6027\u3002<\/p>\n\n\n\n<p><strong>0.3 \u81f3 0.7 \u6216 -0.3 \u81f3 -0.7<\/strong> \u53cd\u6620\u4e86 <strong>\u6e29\u548c\u6d3e<\/strong> \u76f8\u5173\u6027\u3002<\/p>\n\n\n\n<p><strong>0 \u81f3 0.3 \u6216 -0.3 \u81f3 0<\/strong> \u8868\u793a <strong>\u5b71\u5f31<\/strong> \u76f8\u5173\u6027\u3002<\/p>\n\n\n\n<p>\u4e86\u89e3\u4e86\u8fd9\u4e9b\u503c\uff0c\u7814\u7a76\u4eba\u5458\u548c\u4e2a\u4eba\u5c31\u80fd\u786e\u5b9a\u4e24\u4e2a\u53d8\u91cf\u4e4b\u95f4\u7684\u5bc6\u5207\u5173\u7cfb\uff0c\u4ee5\u53ca\u8fd9\u79cd\u5173\u7cfb\u662f\u5426\u91cd\u8981\u5230\u9700\u8981\u8fdb\u4e00\u6b65\u5173\u6ce8\u6216\u91c7\u53d6\u884c\u52a8\u3002<\/p>\n\n\n\n<h3><strong>\u9650\u5236\u6761\u4ef6<\/strong><\/h3>\n\n\n\n<p>\u867d\u7136 <strong>\u76ae\u5c14\u900a\u76f8\u5173\u6027<\/strong> \u662f\u8bc4\u4f30\u53d8\u91cf\u95f4\u7ebf\u6027\u5173\u7cfb\u7684\u6709\u529b\u5de5\u5177\uff0c\u4f46\u4e5f\u6709\u5176\u5c40\u9650\u6027\uff0c\u5e76\u975e\u9002\u7528\u4e8e\u6240\u6709\u60c5\u51b5\u3002<\/p>\n\n\n\n<p><strong>\u76ae\u5c14\u900a\u76f8\u5173\u6027\u53ef\u80fd\u4e0d\u5408\u9002\u7684\u60c5\u51b5\uff1a<\/strong><\/p>\n\n\n\n<p><strong>\u975e\u7ebf\u6027\u5173\u7cfb<\/strong>:\u76ae\u5c14\u900a\u76f8\u5173\u6027\u53ea\u6d4b\u91cf <strong>\u7ebf\u6027\u5173\u7cfb<\/strong>\u56e0\u6b64\uff0c\u5728\u53d8\u91cf\u4e4b\u95f4\u5b58\u5728\u66f2\u7ebf\u6216\u975e\u7ebf\u6027\u5173\u7cfb\u7684\u60c5\u51b5\u4e0b\uff0c\u5b83\u53ef\u80fd\u65e0\u6cd5\u51c6\u786e\u53cd\u6620\u5173\u8054\u7684\u5f3a\u5ea6\u3002\u4f8b\u5982\uff0c\u5982\u679c\u53d8\u91cf\u4e4b\u95f4\u5b58\u5728\u4e8c\u6b21\u6216\u6307\u6570\u5173\u7cfb\uff0c\u76ae\u5c14\u900a\u76f8\u5173\u6027\u53ef\u80fd\u4f1a\u4f4e\u4f30\u6216\u65e0\u6cd5\u53cd\u6620\u771f\u5b9e\u7684\u5173\u7cfb\u3002<\/p>\n\n\n\n<p><strong>\u5f02\u5e38\u503c<\/strong>:\u5b58\u5728 <strong>\u5f02\u5e38\u503c<\/strong> (\u6781\u7aef\u503c\uff09\u4f1a\u4e25\u91cd\u626d\u66f2\u76ae\u5c14\u900a\u76f8\u5173\u6027\u7ed3\u679c\uff0c\u8bef\u5bfc\u53d8\u91cf\u4e4b\u95f4\u7684\u6574\u4f53\u5173\u7cfb\u3002\u4e00\u4e2a\u79bb\u7fa4\u503c\u53ef\u80fd\u4f1a\u4eba\u4e3a\u5730\u62ac\u9ad8\u6216\u964d\u4f4e\u76f8\u5173\u503c\u3002<\/p>\n\n\n\n<p><strong>\u975e\u8fde\u7eed\u53d8\u91cf<\/strong>:\u76ae\u5c14\u900a\u76f8\u5173\u6cd5\u5047\u5b9a\u4e24\u4e2a\u53d8\u91cf\u90fd\u662f\u8fde\u7eed\u7684\u6b63\u6001\u5206\u5e03\u3002\u5b83\u53ef\u80fd\u4e0d\u9002\u5408 <strong>\u4e13\u7528<\/strong> \u6216 <strong>\u5e8f\u6570\u6570\u636e<\/strong>\u8fd9\u4e9b\u5173\u7cfb\u4e0d\u4e00\u5b9a\u662f\u7ebf\u6027\u5173\u7cfb\u6216\u6570\u5b57\u5173\u7cfb\u3002<\/p>\n\n\n\n<p><strong>\u5f02\u65b9\u5dee<\/strong>:\u5f53\u4e00\u4e2a\u53d8\u91cf\u7684\u53d8\u5f02\u6027\u5728\u53e6\u4e00\u4e2a\u53d8\u91cf\u7684\u53d8\u5f02\u6027\u8303\u56f4\u5185\u4e0d\u540c\u65f6\uff08\u5373\u6570\u636e\u70b9\u7684\u5206\u5e03\u4e0d\u6052\u5b9a\uff09\uff0c\u76ae\u5c14\u900a\u76f8\u5173\u6027\u53ef\u80fd\u65e0\u6cd5\u51c6\u786e\u8861\u91cf\u4e24\u8005\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u8fd9\u79cd\u60c5\u51b5\u79f0\u4e3a <strong>\u5f02\u65b9\u5dee<\/strong>\u56e0\u6b64\uff0c\u5b83\u53ef\u80fd\u4f1a\u626d\u66f2\u7cfb\u6570\u3002<\/p>\n\n\n\n<p><strong>\u4ec5\u9650\u4e8e\u7ebf\u6027\u5173\u7cfb\uff1a<\/strong> \u76ae\u5c14\u900a\u76f8\u5173\u6027\u5177\u4f53\u8861\u91cf\u7684\u662f \"\u76f8\u5173\u6027 \"\u548c \"\u76f8\u5173\u6027 \"\u7684\u5f3a\u5ea6\u548c\u65b9\u5411\u3002 <strong>\u7ebf\u6027\u5173\u7cfb<\/strong>.\u5982\u679c\u53d8\u91cf\u4e4b\u95f4\u5b58\u5728\u975e\u7ebf\u6027\u5173\u7cfb\uff0cPearson \u76f8\u5173\u6027\u5c06\u65e0\u6cd5\u68c0\u6d4b\u5230\u8fd9\u4e00\u70b9\u3002\u4f8b\u5982\uff0c\u5982\u679c\u4e00\u4e2a\u53d8\u91cf\u76f8\u5bf9\u4e8e\u53e6\u4e00\u4e2a\u53d8\u91cf\u7684\u589e\u957f\u901f\u5ea6\u8d8a\u6765\u8d8a\u5feb\uff08\u5982\u6307\u6570\u6216\u5bf9\u6570\u5173\u7cfb\uff09\uff0c\u5c3d\u7ba1\u5b58\u5728\u5f88\u5f3a\u7684\u76f8\u5173\u6027\uff0c\u4f46\u76ae\u5c14\u900a\u76f8\u5173\u6027\u53ef\u80fd\u663e\u793a\u4e3a\u5f31\u76f8\u5173\u6027\u6216\u96f6\u76f8\u5173\u6027\u3002<\/p>\n\n\n\n<p>\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e9b\u5c40\u9650\u6027\uff0c\u7814\u7a76\u4eba\u5458\u53ef\u4ee5\u4f7f\u7528\u5176\u4ed6\u65b9\u6cd5\uff0c\u4f8b\u5982 <strong>\u65af\u76ae\u5c14\u66fc\u7b49\u7ea7\u76f8\u5173\u6027<\/strong> \u6216 <strong>\u975e\u7ebf\u6027\u56de\u5f52\u6a21\u578b<\/strong> \u4ee5\u66f4\u597d\u5730\u6355\u6349\u590d\u6742\u7684\u5173\u7cfb\u3002\u4ece\u672c\u8d28\u4e0a\u8bb2\uff0c\u867d\u7136\u76ae\u5c14\u900a\u76f8\u5173\u6027\u5bf9\u7ebf\u6027\u5173\u7cfb\u5f88\u6709\u4ef7\u503c\uff0c\u4f46\u5728\u5e94\u7528\u65f6\u5fc5\u987b\u8c28\u614e\uff0c\u786e\u4fdd\u6570\u636e\u7b26\u5408\u51c6\u786e\u89e3\u91ca\u6240\u9700\u7684\u5047\u8bbe\u3002<\/p>\n\n\n\n<h2><strong>\u5982\u4f55\u4f7f\u7528\u76ae\u5c14\u900a\u76f8\u5173\u6027<\/strong><\/h2>\n\n\n\n<h3><strong>\u5de5\u5177\u548c\u8f6f\u4ef6<\/strong><\/h3>\n\n\n\n<p>\u8ba1\u7b97 <strong>\u76ae\u5c14\u900a\u76f8\u5173\u6027<\/strong> \u53ef\u4ee5\u624b\u52a8\u5b8c\u6210\uff0c\u4f46\u4f7f\u7528\u7edf\u8ba1\u5de5\u5177\u548c\u8f6f\u4ef6\u5219\u66f4\u4e3a\u9ad8\u6548\u5b9e\u7528\u3002\u8fd9\u4e9b\u5de5\u5177\u53ef\u4ee5\u5feb\u901f\u8ba1\u7b97\u76ae\u5c14\u900a\u76f8\u5173\u7cfb\u6570\uff0c\u5904\u7406\u5927\u578b\u6570\u636e\u96c6\uff0c\u5e76\u4e3a\u7efc\u5408\u5206\u6790\u63d0\u4f9b\u989d\u5916\u7684\u7edf\u8ba1\u529f\u80fd\u3002\u6709\u51e0\u79cd\u6d41\u884c\u7684\u8f6f\u4ef6\u548c\u5de5\u5177\u53ef\u7528\u4e8e\u8ba1\u7b97\u76ae\u5c14\u900a\u76f8\u5173\u6027\uff1a<\/p>\n\n\n\n<p><strong>\u5fae\u8f6fExcel<\/strong>:\u5e7f\u6cdb\u4f7f\u7528\u7684\u5de5\u5177\uff0c\u5177\u6709\u8ba1\u7b97\u76ae\u5c14\u900a\u76f8\u5173\u6027\u7684\u5185\u7f6e\u529f\u80fd\uff0c\u53ef\u7528\u4e8e\u57fa\u672c\u7684\u7edf\u8ba1\u4efb\u52a1\u3002<\/p>\n\n\n\n<p><a href=\"https:\/\/www.ibm.com\/spss\"><strong>SPSS\uff08\u793e\u4f1a\u79d1\u5b66\u7edf\u8ba1\u8f6f\u4ef6\u5305\uff09<\/strong><\/a>:\u8fd9\u6b3e\u529f\u80fd\u5f3a\u5927\u7684\u8f6f\u4ef6\u4e13\u4e3a\u7edf\u8ba1\u5206\u6790\u800c\u8bbe\u8ba1\uff0c\u5e38\u7528\u4e8e\u793e\u4f1a\u79d1\u5b66\u548c\u533b\u5b66\u7814\u7a76\u3002<\/p>\n\n\n\n<p><a href=\"https:\/\/www.r-project.org\/about.html\"><strong>R \u7f16\u7a0b\u8bed\u8a00<\/strong>:<\/a> R \u662f\u4e00\u79cd\u514d\u8d39\u7684\u5f00\u6e90\u7f16\u7a0b\u8bed\u8a00\uff0c\u4e13\u95e8\u7528\u4e8e\u6570\u636e\u5206\u6790\u548c\u7edf\u8ba1\u3002R \u8bed\u8a00\u5177\u6709\u5e7f\u6cdb\u7684\u7075\u6d3b\u6027\u548c\u53ef\u5b9a\u5236\u6027\u3002<\/p>\n\n\n\n<p><a href=\"https:\/\/www.codecademy.com\/article\/introduction-to-numpy-and-pandas\"><strong>Python\uff08\u4f7f\u7528 Pandas \u548c NumPy \u7b49\u5e93<\/strong><\/a><strong>)<\/strong>:Python \u662f\u53e6\u4e00\u79cd\u529f\u80fd\u5f3a\u5927\u7684\u5f00\u6e90\u6570\u636e\u5206\u6790\u8bed\u8a00\uff0c\u5176\u7528\u6237\u53cb\u597d\u578b\u5e93\u53ef\u7b80\u5316\u76ae\u5c14\u900a\u76f8\u5173\u6027\u7684\u8ba1\u7b97\u3002<\/p>\n\n\n\n<p><a href=\"https:\/\/www.graphpad.com\/features\"><strong>GraphPad Prism<\/strong><\/a>:\u8be5\u8f6f\u4ef6\u5728\u751f\u7269\u79d1\u5b66\u9886\u57df\u5f88\u53d7\u6b22\u8fce\uff0c\u63d0\u4f9b\u76f4\u89c2\u7684\u7edf\u8ba1\u5206\u6790\u754c\u9762\uff0c\u5305\u62ec\u76ae\u5c14\u900a\u76f8\u5173\u6027\u5206\u6790\u3002<\/p>\n\n\n\n<p><strong>\u4f7f\u7528\u8fd9\u4e9b\u5de5\u5177\u8fdb\u884c\u5206\u6790\u7684\u57fa\u672c\u6307\u5357\uff1a<\/strong><\/p>\n\n\n\n<p><strong>Microsoft Excel\uff1a<\/strong><\/p>\n\n\n\n<ul>\n<li>\u5c06\u6570\u636e\u8f93\u5165\u4e24\u5217\uff0c\u6bcf\u4e2a\u53d8\u91cf\u4e00\u5217\u3002<\/li>\n\n\n\n<li>\u4f7f\u7528\u5185\u7f6e\u51fd\u6570 =CORREL(array1, array2) \u8ba1\u7b97\u4e24\u4e2a\u6570\u636e\u96c6\u4e4b\u95f4\u7684\u76ae\u5c14\u900a\u76f8\u5173\u6027\u3002<\/li>\n<\/ul>\n\n\n\n<p><strong>SPSS\uff1a<\/strong><\/p>\n\n\n\n<ul>\n<li>\u5c06\u6570\u636e\u5bfc\u5165 SPSS\u3002<\/li>\n\n\n\n<li>\u8f6c\u5230 <strong>\u5206\u6790 &gt; \u76f8\u5173\u6027 &gt; \u53cc\u53d8\u91cf<\/strong>\u5e76\u9009\u62e9\u8981\u5206\u6790\u7684\u53d8\u91cf\u3002<\/li>\n\n\n\n<li>\u5728\u76f8\u5173\u7cfb\u6570\u9009\u9879\u4e0b\u9009\u62e9 \"\u76ae\u5c14\u900a\"\uff0c\u7136\u540e\u70b9\u51fb \"\u786e\u5b9a\"\u3002<\/li>\n<\/ul>\n\n\n\n<p><strong>R \u7f16\u7a0b\uff1a<\/strong><\/p>\n\n\n\n<ul>\n<li>\u5c06\u6570\u636e\u4ee5\u5411\u91cf\u6216\u6570\u636e\u5e27\u7684\u5f62\u5f0f\u8f93\u5165 R\u3002<\/li>\n\n\n\n<li>\u4f7f\u7528\u51fd\u6570 cor(x, y, method = \"pearson\") \u8ba1\u7b97\u76ae\u5c14\u900a\u76f8\u5173\u6027\u3002<\/li>\n<\/ul>\n\n\n\n<p><strong>Python (Pandas\/NumPy)\uff1a<\/strong><\/p>\n\n\n\n<ul>\n<li>\u4f7f\u7528 Pandas \u52a0\u8f7d\u6570\u636e<\/li>\n\n\n\n<li>\u4f7f\u7528 df['variable1'].corr(df['variable2'])\u8ba1\u7b97\u4e24\u5217\u4e4b\u95f4\u7684\u76ae\u5c14\u900a\u76f8\u5173\u6027\u3002<\/li>\n<\/ul>\n\n\n\n<p><strong>GraphPad Prism\uff1a<\/strong><\/p>\n\n\n\n<ul>\n<li>\u5c06\u6570\u636e\u8f93\u5165\u8f6f\u4ef6<\/li>\n\n\n\n<li>\u9009\u62e9 \"\u76f8\u5173\u6027 \"\u5206\u6790\u9009\u9879\uff0c\u9009\u62e9 \"\u76ae\u5c14\u900a\u76f8\u5173\u6027\"\uff0c\u8f6f\u4ef6\u5c31\u4f1a\u751f\u6210\u76f8\u5173\u7cfb\u6570\u548c\u53ef\u89c6\u6563\u70b9\u56fe\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u8fd9\u4e9b\u5de5\u5177\u4e0d\u4ec5\u80fd\u8ba1\u7b97\u76ae\u5c14\u900a\u76f8\u5173\u7cfb\u6570\uff0c\u8fd8\u80fd\u63d0\u4f9b\u56fe\u5f62\u8f93\u51fa\u3001P \u503c\u548c\u5176\u4ed6\u6709\u52a9\u4e8e\u89e3\u91ca\u6570\u636e\u7684\u7edf\u8ba1\u91cf\u3002\u4e86\u89e3\u5982\u4f55\u4f7f\u7528\u8fd9\u4e9b\u5de5\u5177\uff0c\u5c31\u80fd\u8fdb\u884c\u9ad8\u6548\u3001\u51c6\u786e\u7684\u76f8\u5173\u5206\u6790\uff0c\u8fd9\u5bf9\u7814\u7a76\u548c\u6570\u636e\u9a71\u52a8\u578b\u51b3\u7b56\u81f3\u5173\u91cd\u8981\u3002<\/p>\n\n\n\n<p><a href=\"https:\/\/mindthegraph.com\/blog\/infographic-and-visual-design-statistics\/\">\u5728\u8fd9\u91cc\uff0c\u60a8\u53ef\u4ee5\u627e\u5230\u4fe1\u606f\u56fe\u8868\u548c\u89c6\u89c9\u8bbe\u8ba1\u7edf\u8ba1\u6570\u636e<\/a>&nbsp;<\/p>\n\n\n\n<h3><strong>\u4f7f\u7528\u76ae\u5c14\u900a\u76f8\u5173\u6027\u7684\u5b9e\u7528\u6280\u5de7<\/strong><\/h3>\n\n\n\n<p><strong>\u8ba1\u7b97\u76f8\u5173\u6027\u4e4b\u524d\u7684\u6570\u636e\u51c6\u5907\u548c\u68c0\u67e5\uff1a<\/strong><\/p>\n\n\n\n<p><strong>\u786e\u4fdd\u6570\u636e\u8d28\u91cf\uff1a<\/strong> \u6838\u5b9e\u6570\u636e\u7684\u51c6\u786e\u6027\u548c\u5b8c\u6574\u6027\u3002\u68c0\u67e5\u5e76\u5904\u7406\u4efb\u4f55\u7f3a\u5931\u503c\uff0c\u56e0\u4e3a\u5b83\u4eec\u53ef\u80fd\u4f1a\u4f7f\u7ed3\u679c\u51fa\u73b0\u504f\u5dee\u3002\u4e0d\u5b8c\u6574\u7684\u6570\u636e\u53ef\u80fd\u4f1a\u5bfc\u81f4\u4e0d\u6b63\u786e\u7684\u76f8\u5173\u7cfb\u6570\u6216\u8bef\u5bfc\u6027\u7684\u89e3\u91ca\u3002<\/p>\n\n\n\n<p><strong>\u68c0\u67e5\u7ebf\u6027\u5ea6\uff1a<\/strong> \u76ae\u5c14\u900a\u76f8\u5173\u6d4b\u91cf\u7ebf\u6027\u5173\u7cfb\u3002\u8ba1\u7b97\u524d\uff0c\u8bf7\u4f7f\u7528\u6563\u70b9\u56fe\u7ed8\u5236\u6570\u636e\uff0c\u4ee5\u76f4\u89c2\u5730\u8bc4\u4f30\u53d8\u91cf\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u7ebf\u6027\u5173\u7cfb\u3002\u5982\u679c\u6570\u636e\u663e\u793a\u51fa\u975e\u7ebf\u6027\u6a21\u5f0f\uff0c\u8bf7\u8003\u8651\u4f7f\u7528\u5176\u4ed6\u65b9\u6cd5\uff0c\u5982\u65af\u76ae\u5c14\u66fc\u79e9\u76f8\u5173\u6216\u975e\u7ebf\u6027\u56de\u5f52\u3002<\/p>\n\n\n\n<p><strong>\u9a8c\u8bc1\u6b63\u5e38\u6027\uff1a<\/strong> \u76ae\u5c14\u900a\u76f8\u5173\u6cd5\u5047\u5b9a\u6bcf\u4e2a\u53d8\u91cf\u7684\u6570\u636e\u8fd1\u4f3c\u4e8e\u6b63\u6001\u5206\u5e03\u3002\u867d\u7136\u5b83\u5bf9\u6b63\u6001\u6027\u504f\u5dee\u6709\u4e00\u5b9a\u7684\u7a33\u5065\u6027\uff0c\u4f46\u663e\u8457\u504f\u5dee\u4f1a\u5f71\u54cd\u7ed3\u679c\u7684\u53ef\u9760\u6027\u3002\u4f7f\u7528\u76f4\u65b9\u56fe\u6216\u6b63\u6001\u6027\u68c0\u9a8c\u6765\u68c0\u67e5\u6570\u636e\u7684\u5206\u5e03\u3002<\/p>\n\n\n\n<p><strong>\u6570\u636e\u6807\u51c6\u5316\uff1a<\/strong> \u5982\u679c\u53d8\u91cf\u7684\u6d4b\u91cf\u5355\u4f4d\u6216\u5c3a\u5ea6\u4e0d\u540c\uff0c\u5e94\u8003\u8651\u5c06\u5176\u6807\u51c6\u5316\u3002\u5c3d\u7ba1\u76ae\u5c14\u900a\u76f8\u5173\u6027\u672c\u8eab\u4e0e\u5c3a\u5ea6\u65e0\u5173\uff0c\u4f46\u8fd9\u4e00\u6b65\u9aa4\u53ef\u786e\u4fdd\u6bd4\u8f83\u4e0d\u53d7\u6d4b\u91cf\u5c3a\u5ea6\u7684\u5f71\u54cd\u3002<\/p>\n\n\n\n<p><strong>\u89e3\u8bfb\u7ed3\u679c\u65f6\u5e94\u907f\u514d\u7684\u5e38\u89c1\u9519\u8bef\uff1a<\/strong><\/p>\n\n\n\n<p><strong>\u9ad8\u4f30\u5b9e\u529b\uff1a<\/strong> \u9ad8\u76ae\u5c14\u900a\u76f8\u5173\u7cfb\u6570\u5e76\u4e0d\u610f\u5473\u7740\u56e0\u679c\u5173\u7cfb\u3002\u76f8\u5173\u6027\u53ea\u80fd\u8861\u91cf\u7ebf\u6027\u5173\u7cfb\u7684\u5f3a\u5ea6\uff0c\u800c\u4e0d\u80fd\u8861\u91cf\u4e00\u4e2a\u53d8\u91cf\u662f\u5426\u4f1a\u5f15\u8d77\u53e6\u4e00\u4e2a\u53d8\u91cf\u7684\u53d8\u5316\u3002\u907f\u514d\u4ec5\u6839\u636e\u76f8\u5173\u6027\u5c31\u5f97\u51fa\u56e0\u679c\u5173\u7cfb\u7684\u7ed3\u8bba\u3002<\/p>\n\n\n\n<p><strong>\u5ffd\u7565\u5f02\u5e38\u503c<\/strong> \u5f02\u5e38\u503c\u4f1a\u4e0d\u6210\u6bd4\u4f8b\u5730\u5f71\u54cd\u76ae\u5c14\u900a\u76f8\u5173\u7cfb\u6570\uff0c\u4ece\u800c\u5bfc\u81f4\u8bef\u5bfc\u6027\u7ed3\u679c\u3002\u8bc6\u522b\u5e76\u8bc4\u4f30\u5f02\u5e38\u503c\u5bf9\u5206\u6790\u7684\u5f71\u54cd\u3002\u6709\u65f6\uff0c\u79fb\u9664\u6216\u8c03\u6574\u5f02\u5e38\u503c\u53ef\u4ee5\u66f4\u6e05\u6670\u5730\u53cd\u6620\u4e24\u8005\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/p>\n\n\n\n<p><strong>\u8bef\u89e3\u96f6\u76f8\u5173\u6027\uff1a<\/strong> \u76ae\u5c14\u900a\u76f8\u5173\u6027\u4e3a\u96f6\u8868\u793a\u6ca1\u6709\u7ebf\u6027\u5173\u7cfb\uff0c\u4f46\u5e76\u4e0d\u610f\u5473\u7740\u5b8c\u5168\u6ca1\u6709\u5173\u7cfb\u3002\u53d8\u91cf\u4e4b\u95f4\u4ecd\u53ef\u80fd\u5b58\u5728\u975e\u7ebf\u6027\u5173\u7cfb\uff0c\u56e0\u6b64\uff0c\u5982\u679c\u6000\u7591\u5b58\u5728\u975e\u7ebf\u6027\u5173\u8054\uff0c\u8bf7\u8003\u8651\u4f7f\u7528\u5176\u4ed6\u7edf\u8ba1\u65b9\u6cd5\u3002<\/p>\n\n\n\n<p><strong>\u6df7\u6dc6 \"\u76f8\u5173 \"\u4e0e \"\u56e0\u679c\"\uff1a<\/strong> \u8bf7\u8bb0\u4f4f\uff0c\u76f8\u5173\u6027\u5e76\u4e0d\u610f\u5473\u7740\u56e0\u679c\u5173\u7cfb\u3002\u4e24\u4e2a\u53d8\u91cf\u7684\u76f8\u5173\u53ef\u80fd\u662f\u7531\u4e8e\u7b2c\u4e09\u4e2a\u672a\u89c2\u6d4b\u53d8\u91cf\u7684\u5f71\u54cd\u3002\u4e00\u5b9a\u8981\u8003\u8651\u66f4\u5e7f\u6cdb\u7684\u80cc\u666f\uff0c\u5e76\u4f7f\u7528\u5176\u4ed6\u65b9\u6cd5\u6765\u63a2\u7d22\u6f5c\u5728\u7684\u56e0\u679c\u5173\u7cfb\u3002<\/p>\n\n\n\n<p><strong>\u5ffd\u7565\u6837\u672c\u7684\u5927\u5c0f\uff1a<\/strong> \u6837\u672c\u91cf\u8fc7\u5c0f\u4f1a\u5bfc\u81f4\u76f8\u5173\u6027\u4f30\u8ba1\u503c\u4e0d\u7a33\u5b9a\u3001\u4e0d\u53ef\u9760\u3002\u786e\u4fdd\u6837\u672c\u91cf\u8db3\u4ee5\u63d0\u4f9b\u53ef\u9760\u7684\u76f8\u5173\u6027\u6d4b\u91cf\u3002\u8f83\u5927\u7684\u6837\u672c\u901a\u5e38\u80fd\u63d0\u4f9b\u66f4\u51c6\u786e\u3001\u66f4\u7a33\u5b9a\u7684\u76f8\u5173\u7cfb\u6570\u3002<\/p>\n\n\n\n<h2><strong>\u4e3b\u8981\u6536\u83b7\u548c\u8003\u8651\u56e0\u7d20<\/strong><\/h2>\n\n\n\n<p>\u76ae\u5c14\u900a\u76f8\u5173\u662f\u4e00\u79cd\u57fa\u672c\u7684\u7edf\u8ba1\u5de5\u5177\uff0c\u7528\u4e8e\u6d4b\u91cf\u4e24\u4e2a\u8fde\u7eed\u53d8\u91cf\u4e4b\u95f4\u7ebf\u6027\u5173\u7cfb\u7684\u5f3a\u5ea6\u548c\u65b9\u5411\u3002\u5b83\u4e3a\u4ece\u7814\u7a76\u5230\u65e5\u5e38\u751f\u6d3b\u7684\u5404\u4e2a\u9886\u57df\u63d0\u4f9b\u4e86\u5b9d\u8d35\u7684\u89c1\u89e3\uff0c\u6709\u52a9\u4e8e\u8bc6\u522b\u548c\u91cf\u5316\u6570\u636e\u4e2d\u7684\u5173\u7cfb\u3002\u4e86\u89e3\u4e86\u5982\u4f55\u6b63\u786e\u8ba1\u7b97\u548c\u89e3\u91ca\u76ae\u5c14\u900a\u76f8\u5173\u6027\uff0c\u7814\u7a76\u4eba\u5458\u548c\u4e2a\u4eba\u5c31\u53ef\u4ee5\u6839\u636e\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u8054\u5f3a\u5ea6\u505a\u51fa\u660e\u667a\u7684\u51b3\u7b56\u3002<\/p>\n\n\n\n<p>\u7136\u800c\uff0c\u8ba4\u8bc6\u5230\u5b83\u7684\u5c40\u9650\u6027\uff0c\u7279\u522b\u662f\u5b83\u5bf9\u7ebf\u6027\u5173\u7cfb\u7684\u5173\u6ce8\u548c\u5bf9\u5f02\u5e38\u503c\u7684\u654f\u611f\u6027\uff0c\u662f\u81f3\u5173\u91cd\u8981\u7684\u3002\u6b63\u786e\u7684\u6570\u636e\u51c6\u5907\u548c\u907f\u514d\u5e38\u89c1\u7684\u8bef\u533a\uff08\u5982\u6df7\u6dc6\u76f8\u5173\u6027\u548c\u56e0\u679c\u5173\u7cfb\uff09\u5bf9\u4e8e\u51c6\u786e\u5206\u6790\u81f3\u5173\u91cd\u8981\u3002\u9002\u5f53\u4f7f\u7528\u76ae\u5c14\u900a\u76f8\u5173\u6027\u5e76\u8003\u8651\u5176\u9650\u5236\u56e0\u7d20\uff0c\u53ef\u4ee5\u8ba9\u60a8\u6709\u6548\u5730\u5229\u7528\u8fd9\u4e00\u5de5\u5177\u83b7\u5f97\u6709\u610f\u4e49\u7684\u89c1\u89e3\u5e76\u505a\u51fa\u66f4\u597d\u7684\u51b3\u7b56\u3002<\/p>\n\n\n\n<h2><strong>\u6d4f\u89c8 80 \u591a\u4e2a\u70ed\u95e8\u9886\u57df\u4e2d 75,000 \u591a\u5e45\u79d1\u5b66\u51c6\u786e\u7684\u63d2\u56fe<\/strong><\/h2>\n\n\n\n<p><a href=\"https:\/\/mindthegraph.com\/\">Mind the Graph <\/a>\u662f\u4e00\u6b3e\u529f\u80fd\u5f3a\u5927\u7684\u5de5\u5177\uff0c\u65e8\u5728\u5e2e\u52a9\u79d1\u5b66\u5bb6\u76f4\u89c2\u5730\u4f20\u8fbe\u590d\u6742\u7684\u7814\u7a76\u6210\u679c\u3002\u901a\u8fc7\u8bbf\u95ee 80 \u591a\u4e2a\u70ed\u95e8\u9886\u57df\u7684 75,000 \u591a\u5e45\u79d1\u5b66\u51c6\u786e\u7684\u63d2\u56fe\uff0c\u7814\u7a76\u4eba\u5458\u53ef\u4ee5\u8f7b\u677e\u627e\u5230\u53ef\u589e\u5f3a\u5176\u6f14\u793a\u6587\u7a3f\u3001\u8bba\u6587\u548c\u62a5\u544a\u6548\u679c\u7684\u89c6\u89c9\u5143\u7d20\u3002\u8be5\u5e73\u53f0\u7684\u63d2\u56fe\u79cd\u7c7b\u7e41\u591a\uff0c\u65e0\u8bba\u662f\u751f\u7269\u5b66\u3001\u5316\u5b66\u3001\u533b\u5b66\u8fd8\u662f\u5176\u4ed6\u5b66\u79d1\uff0c\u90fd\u80fd\u786e\u4fdd\u79d1\u5b66\u5bb6\u6839\u636e\u81ea\u5df1\u7279\u5b9a\u7684\u7814\u7a76\u9886\u57df\u521b\u5efa\u6e05\u6670\u3001\u5f15\u4eba\u5165\u80dc\u7684\u89c6\u89c9\u6548\u679c\u3002\u8fd9\u4e2a\u5e9e\u5927\u7684\u56fe\u5e93\u4e0d\u4ec5\u80fd\u8282\u7701\u65f6\u95f4\uff0c\u8fd8\u80fd\u66f4\u6709\u6548\u5730\u4f20\u64ad\u6570\u636e\uff0c\u8ba9\u4e13\u5bb6\u548c\u666e\u901a\u5927\u4f17\u90fd\u80fd\u83b7\u53d6\u548c\u7406\u89e3\u79d1\u5b66\u4fe1\u606f\u3002<\/p>\n\n\n\n<div class=\"is-layout-flex wp-block-buttons\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link has-background wp-element-button\" href=\"https:\/\/mindthegraph.com\/science-figures\/?utm_source=blog&amp;utm_medium=cta-final&amp;utm_campaign=conversion\" style=\"background-color:#7833ff\"><strong>\u514d\u8d39\u6ce8\u518c<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<div style=\"height:46px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"1362\" height=\"900\" src=\"https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2023\/09\/mtg-80-plus-fields.gif\" alt=\"&quot;GIF\u52a8\u753b\u5c55\u793a\u4e86Mind the Graph\u4e0a\u53ef\u7528\u768480\u591a\u4e2a\u79d1\u5b66\u9886\u57df\uff0c\u5305\u62ec\u751f\u7269\u3001\u5316\u5b66\u3001\u7269\u7406\u548c\u533b\u5b66\uff0c\u8bf4\u660e\u4e86\u8be5\u5e73\u53f0\u5bf9\u7814\u7a76\u4eba\u5458\u7684\u591a\u529f\u80fd\u6027&quot;\u3002\" class=\"wp-image-29586\"\/><figcaption class=\"wp-element-caption\">GIF \u52a8\u753b\u5c55\u793a\u4e86 Mind the Graph \u6240\u6db5\u76d6\u7684\u5e7f\u6cdb\u79d1\u5b66\u9886\u57df\u3002<\/figcaption><\/figure>","protected":false},"excerpt":{"rendered":"<p>\u4e86\u89e3\u76ae\u5c14\u900a\u76f8\u5173\u6027\u7684\u8981\u70b9\u53ca\u5176\u5728\u5404\u79cd\u60c5\u51b5\u4e0b\u7684\u9002\u7528\u6027\u3002<\/p>","protected":false},"author":35,"featured_media":55630,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[961,977,28],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v19.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Pearson Correlation: Understanding the Math Behind Relationships - Mind the Graph Blog<\/title>\n<meta name=\"description\" content=\"Understand the key points about Pearson correlation and its applicability in various situations.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mindthegraph.com\/blog\/zh\/pearson-correlation\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Pearson Correlation: Understanding the Math Behind Relationships - Mind the Graph Blog\" \/>\n<meta property=\"og:description\" content=\"Understand the key points about Pearson correlation and its applicability in various situations.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mindthegraph.com\/blog\/zh\/pearson-correlation\/\" \/>\n<meta property=\"og:site_name\" content=\"Mind the Graph Blog\" \/>\n<meta property=\"article:published_time\" content=\"2024-10-21T15:45:05+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-10-21T15:45:07+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/10\/pearson_correlation.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1123\" \/>\n\t<meta property=\"og:image:height\" content=\"612\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"Ang\u00e9lica Salom\u00e3o\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"Ang\u00e9lica Salom\u00e3o\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"13\u5206\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Pearson Correlation: Understanding the Math Behind Relationships - Mind the Graph Blog","description":"Understand the key points about Pearson correlation and its applicability in various situations.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mindthegraph.com\/blog\/zh\/pearson-correlation\/","og_locale":"zh_CN","og_type":"article","og_title":"Pearson Correlation: Understanding the Math Behind Relationships - Mind the Graph Blog","og_description":"Understand the key points about Pearson correlation and its applicability in various situations.","og_url":"https:\/\/mindthegraph.com\/blog\/zh\/pearson-correlation\/","og_site_name":"Mind the Graph Blog","article_published_time":"2024-10-21T15:45:05+00:00","article_modified_time":"2024-10-21T15:45:07+00:00","og_image":[{"width":1123,"height":612,"url":"https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/10\/pearson_correlation.png","type":"image\/png"}],"author":"Ang\u00e9lica Salom\u00e3o","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005":"Ang\u00e9lica Salom\u00e3o","\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4":"13\u5206"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/mindthegraph.com\/blog\/pearson-correlation\/","url":"https:\/\/mindthegraph.com\/blog\/pearson-correlation\/","name":"Pearson Correlation: Understanding the Math Behind Relationships - Mind the Graph Blog","isPartOf":{"@id":"https:\/\/mindthegraph.com\/blog\/#website"},"datePublished":"2024-10-21T15:45:05+00:00","dateModified":"2024-10-21T15:45:07+00:00","author":{"@id":"https:\/\/mindthegraph.com\/blog\/#\/schema\/person\/542e3620319366708346388407c01c0a"},"description":"Understand the key points about Pearson correlation and its applicability in various situations.","breadcrumb":{"@id":"https:\/\/mindthegraph.com\/blog\/pearson-correlation\/#breadcrumb"},"inLanguage":"zh-CN","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mindthegraph.com\/blog\/pearson-correlation\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mindthegraph.com\/blog\/pearson-correlation\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mindthegraph.com\/blog\/"},{"@type":"ListItem","position":2,"name":"Pearson Correlation: Understanding the Math Behind Relationships"}]},{"@type":"WebSite","@id":"https:\/\/mindthegraph.com\/blog\/#website","url":"https:\/\/mindthegraph.com\/blog\/","name":"Mind the Graph Blog","description":"Your science can be beautiful!","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mindthegraph.com\/blog\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"zh-CN"},{"@type":"Person","@id":"https:\/\/mindthegraph.com\/blog\/#\/schema\/person\/542e3620319366708346388407c01c0a","name":"Ang\u00e9lica Salom\u00e3o","image":{"@type":"ImageObject","inLanguage":"zh-CN","@id":"https:\/\/mindthegraph.com\/blog\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/a59218eda57fb51e0d7aea836e593cd1?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/a59218eda57fb51e0d7aea836e593cd1?s=96&d=mm&r=g","caption":"Ang\u00e9lica Salom\u00e3o"},"url":"https:\/\/mindthegraph.com\/blog\/zh\/author\/angelica\/"}]}},"_links":{"self":[{"href":"https:\/\/mindthegraph.com\/blog\/zh\/wp-json\/wp\/v2\/posts\/55628"}],"collection":[{"href":"https:\/\/mindthegraph.com\/blog\/zh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mindthegraph.com\/blog\/zh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mindthegraph.com\/blog\/zh\/wp-json\/wp\/v2\/users\/35"}],"replies":[{"embeddable":true,"href":"https:\/\/mindthegraph.com\/blog\/zh\/wp-json\/wp\/v2\/comments?post=55628"}],"version-history":[{"count":4,"href":"https:\/\/mindthegraph.com\/blog\/zh\/wp-json\/wp\/v2\/posts\/55628\/revisions"}],"predecessor-version":[{"id":55636,"href":"https:\/\/mindthegraph.com\/blog\/zh\/wp-json\/wp\/v2\/posts\/55628\/revisions\/55636"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mindthegraph.com\/blog\/zh\/wp-json\/wp\/v2\/media\/55630"}],"wp:attachment":[{"href":"https:\/\/mindthegraph.com\/blog\/zh\/wp-json\/wp\/v2\/media?parent=55628"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mindthegraph.com\/blog\/zh\/wp-json\/wp\/v2\/categories?post=55628"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mindthegraph.com\/blog\/zh\/wp-json\/wp\/v2\/tags?post=55628"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}