{"id":2158,"date":"2023-07-23T11:09:27","date_gmt":"2023-07-23T11:09:27","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%a0%b7%e6%9c%ac%e6%80%bb%e4%bd%93%e6%96%b9%e5%b7%ae-python\/"},"modified":"2023-07-23T11:09:27","modified_gmt":"2023-07-23T11:09:27","slug":"%e6%a0%b7%e6%9c%ac%e6%80%bb%e4%bd%93%e6%96%b9%e5%b7%ae-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%a0%b7%e6%9c%ac%e6%80%bb%e4%bd%93%e6%96%b9%e5%b7%ae-python\/","title":{"rendered":"\u5982\u4f55\u7528 python \u8ba1\u7b97\u6837\u672c\u548c\u603b\u4f53\u65b9\u5dee"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u65b9\u5dee<\/strong>\u662f\u8861\u91cf\u6570\u636e\u96c6\u4e2d\u503c\u5206\u5e03\u7684\u4e00\u79cd\u65b9\u6cd5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u603b\u4f53\u65b9\u5dee<\/strong>\u7684\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff1a<\/span><\/p>\n<p style=\"text-align: left;\"> <span style=\"color: #000000;\"><strong>\u03c3 <sup>2<\/sup><\/strong> = \u03a3 ( <sub>xi<\/sub> \u2013 \u03bc) <sup>2<\/sup> \/ N<\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> \uff1a\u8868\u793a\u201c\u548c\u201d\u7684\u7b26\u53f7<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u03bc<\/strong> \uff1a\u4eba\u53e3\u5e73\u5747\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>x <sub>i<\/sub><\/strong> \uff1a\u603b\u4f53\u4e2d\u7684\u7b2c i<sup>\u4e2a<\/sup>\u5143\u7d20<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>N<\/strong> \uff1a\u4eba\u53e3\u89c4\u6a21<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><strong>\u6837\u672c\u65b9\u5dee<\/strong>\u7684\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff1a<\/span><\/p>\n<p style=\"text-align: left;\"> <span style=\"color: #000000;\"><strong>s <sup>2<\/sup><\/strong> = \u03a3 ( <sub>xi<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> ) <sup>2<\/sup> \/ (n-1)<\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span><\/strong> \uff1a\u6837\u672c\u5747\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>x <sub>i<\/sub><\/strong> \uff1a\u6837\u672c\u7684\u7b2c i<sup>\u4e2a<\/sup>\u5143\u7d20<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n<\/strong> \uff1a\u6837\u672c\u91cf<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528Python<a href=\"https:\/\/docs.python.org\/3\/library\/statistics.html\" target=\"_blank\" rel=\"noopener\">\u7edf\u8ba1<\/a>\u5e93\u4e2d\u7684<strong>variance<\/strong>\u548c<strong>pvariance<\/strong>\u51fd\u6570\u6765\u5feb\u901f\u8ba1\u7b97\u7ed9\u5b9a\u8868\u7684\u6837\u672c\u65b9\u5dee\u548c\u603b\u4f53\u65b9\u5dee\uff08\u5206\u522b\uff09\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">from<\/span> statistics <span style=\"color: #008000;\">import<\/span> variance, pvariance<\/span>\n\n#calculate sample variance<\/span>\nvariance(s)\n\n<span style=\"color: #008080;\">#calculate population variance\n<\/span>pvariance(x)\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u5c55\u793a\u4e86\u5982\u4f55\u5728\u5b9e\u8df5\u4e2d\u4f7f\u7528\u6bcf\u4e2a\u529f\u80fd\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b 1\uff1a\u7528 Python \u8ba1\u7b97\u6837\u672c\u65b9\u5dee<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u5728Python\u4e2d\u8ba1\u7b97\u8868\u7684\u6837\u672c\u65b9\u5dee\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">from<\/span> statistics <span style=\"color: #008000;\">import<\/span> variance<\/span> \n\n#define data<\/span>\ndata = [4, 8, 12, 15, 9, 6, 14, 18, 12, 9, 16, 17, 17, 20, 14]\n\n<span style=\"color: #008080;\">#calculate sample variance\n<\/span>variance(data)\n\n22,067\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6837\u672c\u65b9\u5dee\u7ed3\u679c\u4e3a<strong>22.067<\/strong> \u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b 2\uff1a\u7528 Python \u8ba1\u7b97\u603b\u4f53\u65b9\u5dee<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u5728Python\u4e2d\u8ba1\u7b97\u8868\u7684\u603b\u4f53\u65b9\u5dee\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">from<\/span> statistics <span style=\"color: #008000;\">import<\/span> pvariance<\/span> \n\n#define data<\/span>\ndata = [4, 8, 12, 15, 9, 6, 14, 18, 12, 9, 16, 17, 17, 20, 14]\n\n<span style=\"color: #008080;\">#calculate sample variance\n<\/span>pvariance(data)\n\n20,596<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u603b\u4f53\u65b9\u5dee\u4e3a<strong>20,596<\/strong> \u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u8ba1\u7b97\u6837\u672c\u548c\u603b\u4f53\u65b9\u5dee\u7684\u6ce8\u610f\u4e8b\u9879<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u8ba1\u7b97\u6837\u672c\u548c\u603b\u4f53\u65b9\u5dee\u65f6\u8bf7\u8bb0\u4f4f\u4ee5\u4e0b\u51e0\u70b9\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u5f53\u60a8\u4f7f\u7528\u7684\u6570\u636e\u96c6\u4ee3\u8868\u6574\u4e2a\u603b\u4f53\uff08\u5373\u60a8\u611f\u5174\u8da3\u7684\u6bcf\u4e2a\u503c\uff09\u65f6\uff0c\u60a8\u5e94\u8be5\u8ba1\u7b97<strong>\u603b\u4f53\u65b9\u5dee<\/strong>\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5f53\u60a8\u4f7f\u7528\u7684\u6570\u636e\u96c6\u4ee3\u8868\u53d6\u81ea\u8f83\u5927\u611f\u5174\u8da3\u603b\u4f53\u7684\u6837\u672c\u65f6\uff0c\u60a8\u5e94\u8be5\u8ba1\u7b97<strong>\u6837\u672c\u65b9\u5dee<\/strong>\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u7ed9\u5b9a\u6570\u636e\u8868\u7684\u6837\u672c\u65b9\u5dee\u603b\u662f\u4f1a\u5927\u4e8e\u540c\u4e00\u6570\u636e\u8868\u7684\u603b\u4f53\u65b9\u5dee\uff0c\u56e0\u4e3a\u8ba1\u7b97\u6837\u672c\u65b9\u5dee\u65f6\u5b58\u5728\u66f4\u591a\u7684\u4e0d\u786e\u5b9a\u6027\uff0c\u56e0\u6b64\u6211\u4eec\u5bf9\u65b9\u5dee\u7684\u4f30\u8ba1\u4f1a\u66f4\u5927\u3002<\/span><\/li>\n<\/ul>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6559\u7a0b\u89e3\u91ca\u4e86\u5982\u4f55\u5728 Python \u4e2d\u8ba1\u7b97\u5176\u4ed6\u4ef7\u5dee\u6307\u6807\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u87d2\u86c7\u56db\u5206\u4f4d\u6570\u8303\u56f4\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728Python\u4e2d\u8ba1\u7b97\u56db\u5206\u4f4d\u6570\u8303\u56f4<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/python\u4e2d\u7684\u53d8\u5f02\u7cfb\u6570\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u7528Python\u8ba1\u7b97\u53d8\u5f02\u7cfb\u6570<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/python-\u5217\u8868\u6807\u51c6\u5dee\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728Python\u4e2d\u8ba1\u7b97\u5217\u8868\u7684\u6807\u51c6\u5dee<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u65b9\u5dee\u662f\u8861\u91cf\u6570\u636e\u96c6\u4e2d\u503c\u5206\u5e03\u7684\u4e00\u79cd\u65b9\u6cd5\u3002 \u603b\u4f53\u65b9\u5dee\u7684\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff1a \u03c3 2 = \u03a3 ( xi \u2013 \u03bc) 2 \/ N  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