{"id":3602,"date":"2023-07-16T14:50:05","date_gmt":"2023-07-16T14:50:05","guid":{"rendered":"https:\/\/statorials.org\/cn\/excel%e4%b8%ad%e5%8d%8f%e6%96%b9%e5%b7%aep%e4%b8%8e%e5%8d%8f%e6%96%b9%e5%b7%aes\/"},"modified":"2023-07-16T14:50:05","modified_gmt":"2023-07-16T14:50:05","slug":"excel%e4%b8%ad%e5%8d%8f%e6%96%b9%e5%b7%aep%e4%b8%8e%e5%8d%8f%e6%96%b9%e5%b7%aes","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/excel%e4%b8%ad%e5%8d%8f%e6%96%b9%e5%b7%aep%e4%b8%8e%e5%8d%8f%e6%96%b9%e5%b7%aes\/","title":{"rendered":"Excel \u4e2d\u7684 covariance.p \u4e0e covariance.s\uff1a\u6709\u4ec0\u4e48\u533a\u522b\uff1f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c<strong>\u534f\u65b9\u5dee<\/strong>\u662f\u4e00\u79cd\u8861\u91cf\u4e00\u4e2a\u53d8\u91cf\u7684\u53d8\u5316\u4e0e\u53e6\u4e00\u4e2a\u53d8\u91cf\u7684\u53d8\u5316\u5982\u4f55\u5173\u8054\u7684\u65b9\u6cd5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b63\u534f\u65b9\u5dee\u503c\u8868\u793a\u4e00\u4e2a\u53d8\u91cf\u7684\u589e\u52a0\u4e0e\u53e6\u4e00\u53d8\u91cf\u7684\u589e\u52a0\u76f8\u5173\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8d1f\u503c\u8868\u793a\u4e00\u4e2a\u53d8\u91cf\u7684\u589e\u52a0\u4e0e\u53e6\u4e00\u53d8\u91cf\u7684\u51cf\u5c11\u76f8\u5173\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u60a8\u53ef\u4ee5\u4f7f\u7528\u4e24\u79cd\u4e0d\u540c\u7684\u51fd\u6570\u6765\u8ba1\u7b97 Excel \u4e2d\u7684\u534f\u65b9\u5dee\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. COVARIANCE.P\uff1a<\/strong>\u8be5\u51fd\u6570\u8ba1\u7b97\u603b\u4f53\u534f\u65b9\u5dee\u3002\u5f53\u503c\u7684\u8303\u56f4\u4ee3\u8868\u6574\u4e2a\u603b\u4f53\u65f6\u4f7f\u7528\u6b64\u51fd\u6570\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8be5\u51fd\u6570\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\uff1a<\/span><\/p>\n<p style=\"text-align: left;\"><span style=\"color: #000000;\">\u603b\u4f53\u534f\u65b9\u5dee = \u03a3(x <sub>i<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">x<\/span> )(y <sub>i<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">y<\/span> ) \/ n<\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3\uff1a<\/strong>\u5e0c\u814a\u7b26\u53f7\uff0c\u610f\u601d\u662f\u201c\u548c\u201d<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub> \uff1a<\/strong>\u53d8\u91cf x \u7684\u7b2c i<sup>\u4e2a<\/sup>\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong><span style=\"border-top: 1px solid black;\">x<\/span><\/strong> \uff1a\u53d8\u91cf x \u7684\u5e73\u5747\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>y <sub>i<\/sub> \uff1a<\/strong>\u53d8\u91cf y \u7684<sup>\u7b2c i \u4e2a<\/sup>\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong><span style=\"border-top: 1px solid black;\">y<\/span><\/strong> \uff1a\u53d8\u91cf y \u7684\u5e73\u5747\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n\uff1a<\/strong>\u89c2\u5bdf\u603b\u6570<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><strong>2. COVARIANCE.S\uff1a<\/strong>\u8be5\u51fd\u6570\u8ba1\u7b97\u6837\u672c\u534f\u65b9\u5dee\u3002\u5f53\u503c\u8303\u56f4\u4ee3\u8868\u503c\u6837\u672c\u800c\u4e0d\u662f\u6574\u4e2a\u603b\u4f53\u65f6\uff0c\u8bf7\u4f7f\u7528\u6b64\u51fd\u6570\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8be5\u51fd\u6570\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\uff1a<\/span><\/p>\n<p style=\"text-align: left;\"><span style=\"color: #000000;\">\u6837\u672c\u534f\u65b9\u5dee = \u03a3(x <sub>i<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">x<\/span> )(y <sub>i<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">y<\/span> ) \/ (n-1)<\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3\uff1a<\/strong>\u5e0c\u814a\u7b26\u53f7\uff0c\u610f\u601d\u662f\u201c\u548c\u201d<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub> \uff1a<\/strong>\u53d8\u91cf x \u7684\u7b2c i<sup>\u4e2a<\/sup>\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong><span style=\"border-top: 1px solid black;\">x<\/span><\/strong> \uff1a\u53d8\u91cf x \u7684\u5e73\u5747\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>y <sub>i<\/sub> \uff1a<\/strong>\u53d8\u91cf y \u7684<sup>\u7b2c i \u4e2a<\/sup>\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong><span style=\"border-top: 1px solid black;\">y<\/span><\/strong> \uff1a\u53d8\u91cf y \u7684\u5e73\u5747\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n\uff1a<\/strong>\u89c2\u5bdf\u603b\u6570<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\u4e24\u4e2a\u516c\u5f0f\u4e4b\u95f4\u7684\u7ec6\u5fae\u5dee\u522b\uff1a <strong>COVARIANCE.P<\/strong>\u9664\u4ee5<strong>n<\/strong>\u800c<strong>COVARIANCE.S<\/strong>\u9664\u4ee5<strong>n-1<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0c <strong>COVARIANCE.S<\/strong>\u516c\u5f0f\u5c06\u59cb\u7ec8\u4ea7\u751f\u8f83\u5927\u7684\u503c\uff0c\u56e0\u4e3a\u5b83\u9664\u4ee5\u8f83\u5c0f\u7684\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u5c55\u793a\u4e86\u5982\u4f55\u5728\u5b9e\u8df5\u4e2d\u4f7f\u7528\u6bcf\u4e2a\u516c\u5f0f\u3002<\/span><\/p>\n<h2><strong>\u793a\u4f8b\uff1aExcel \u4e2d\u7684 COVARIANCE.P \u4e0e COVARIANCE.S<\/strong><\/h2>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u5728 Excel \u4e2d\u6709\u4ee5\u4e0b\u6570\u636e\u96c6\uff0c\u5176\u4e2d\u663e\u793a\u4e86 15 \u540d\u4e0d\u540c\u7bee\u7403\u8fd0\u52a8\u5458\u7684\u5f97\u5206\u548c\u52a9\u653b\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-29676 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/covar1.jpg\" alt=\"\" width=\"455\" height=\"459\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u5c4f\u5e55\u622a\u56fe\u663e\u793a\u4e86\u5982\u4f55\u4f7f\u7528\u4e24\u79cd\u4e0d\u540c\u7684\u534f\u65b9\u5dee\u516c\u5f0f\u8ba1\u7b97\u5f97\u5206\u548c\u52a9\u653b\u4e4b\u95f4\u7684\u534f\u65b9\u5dee\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-29677 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/covar2.jpg\" alt=\"\" width=\"627\" height=\"483\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6837\u672c\u534f\u65b9\u5dee\u4e3a<b>15.69<\/b> \uff0c\u603b\u4f53\u534f\u65b9\u5dee\u4e3a<strong>14.64<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b63\u5982\u524d\u9762\u63d0\u5230\u7684\uff0c\u6837\u672c\u534f\u65b9\u5dee\u603b\u662f\u5927\u4e8e\u603b\u4f53\u534f\u65b9\u5dee\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u4f55\u65f6\u4f7f\u7528 COVARIANCE.P \u6216 COVARIANCE.S<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u5728\u5927\u591a\u6570\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u65e0\u6cd5\u6536\u96c6\u6574\u4e2a\u4eba\u7fa4\u7684\u6570\u636e\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u4ec5\u6536\u96c6\u4eba\u53e3<a href=\"https:\/\/statorials.org\/cn\/\u603b\u4f53\u4e0e\u6837\u672c\/\" target=\"_blank\" rel=\"noopener\">\u6837\u672c<\/a>\u7684\u6570\u636e\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0c\u6211\u4eec\u51e0\u4e4e\u603b\u662f\u4f7f\u7528<strong>COVARIANCE.S<\/strong>\u6765\u8ba1\u7b97\u6570\u636e\u96c6\u7684\u534f\u65b9\u5dee\uff0c\u56e0\u4e3a\u6211\u4eec\u7684\u6570\u636e\u96c6\u901a\u5e38\u4ee3\u8868\u4e00\u4e2a\u6837\u672c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"color: #000000;\">\u5728\u6781\u5c11\u6570\u60c5\u51b5\u4e0b\uff0c\u60a8\u7684\u6570\u636e\u4ee3\u8868\u6574\u4e2a\u603b\u4f53\uff0c\u60a8\u53ef\u4ee5\u6539\u7528<strong>COVARIANCE.P<\/strong>\u51fd\u6570\u3002<\/span><\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6559\u7a0b\u89e3\u91ca\u4e86\u5176\u4ed6\u5e38\u7528 Excel \u51fd\u6570\u7684\u533a\u522b\uff1a<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/cn\/excel-\u4e2d\u7684-stdevp-\u4e0e-stdevs\/\" target=\"_blank\" rel=\"noopener\">Excel \u4e2d\u7684 STDEV.P \u4e0e STDEV.S\uff1a\u6709\u4ec0\u4e48\u533a\u522b\uff1f<\/a><br \/> <a href=\"https:\/\/statorials.org\/cn\/\u767e\u5206\u4f4d-ex-\u4e0e\u767e\u5206\u4f4d-inc-excel\/\" target=\"_blank\" rel=\"noopener\">Excel \u4e2d\u7684 PERCENTILE.EXC \u4e0e PERCENTILE.INC\uff1a\u6709\u4ec0\u4e48\u533a\u522b\uff1f<\/a><br \/> <a href=\"https:\/\/statorials.org\/cn\/\u56db\u5206\u4f4d-ex-\u4e0e\u56db\u5206\u4f4d-inc-excel\/\">Excel \u4e2d\u7684 QUARTILE.EXC \u4e0e QUARTILE.INC\uff1a\u6709\u4ec0\u4e48\u533a\u522b\uff1f<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c\u534f\u65b9\u5dee\u662f\u4e00\u79cd\u8861\u91cf\u4e00\u4e2a\u53d8\u91cf\u7684\u53d8\u5316\u4e0e\u53e6\u4e00\u4e2a\u53d8\u91cf\u7684\u53d8\u5316\u5982\u4f55\u5173\u8054\u7684\u65b9\u6cd5\u3002 \u6b63\u534f\u65b9\u5dee\u503c\u8868\u793a\u4e00\u4e2a\u53d8\u91cf\u7684\u589e\u52a0\u4e0e\u53e6 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-3602","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Excel \u4e2d\u7684 COVARIANCE.P \u4e0e COVARIANCE.S\uff1a\u6709\u4ec0\u4e48\u533a\u522b\uff1f - 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