{"id":844,"date":"2023-07-28T13:57:18","date_gmt":"2023-07-28T13:57:18","guid":{"rendered":"https:\/\/statorials.org\/cn\/python-%e5%8d%a1%e6%96%b9%e6%8b%9f%e5%90%88%e4%bc%98%e5%ba%a6%e6%a3%80%e9%aa%8c\/"},"modified":"2023-07-28T13:57:18","modified_gmt":"2023-07-28T13:57:18","slug":"python-%e5%8d%a1%e6%96%b9%e6%8b%9f%e5%90%88%e4%bc%98%e5%ba%a6%e6%a3%80%e9%aa%8c","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/python-%e5%8d%a1%e6%96%b9%e6%8b%9f%e5%90%88%e4%bc%98%e5%ba%a6%e6%a3%80%e9%aa%8c\/","title":{"rendered":"\u5982\u4f55\u5728 python \u4e2d\u6267\u884c\u5361\u65b9\u62df\u5408\u4f18\u5ea6\u68c0\u9a8c"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><strong><a href=\"https:\/\/statorials.org\/cn\/\u5361\u65b9\u62df\u5408\u4f18\u5ea6\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener\">\u5361\u65b9\u62df\u5408\u4f18\u5ea6\u68c0\u9a8c<\/a><\/strong><span style=\"color: #000000;\">\u7528\u4e8e<\/span><span style=\"color: #000000;\">\u786e\u5b9a\u5206\u7c7b\u53d8\u91cf\u662f\u5426\u9075\u5faa\u5047\u8bbe\u5206\u5e03\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u5728 Python \u4e2d\u6267\u884c\u5361\u65b9\u62df\u5408\u4f18\u5ea6\u68c0\u9a8c\u3002<\/span><\/p>\n<h3><strong>\u793a\u4f8b\uff1aPython \u4e2d\u7684\u5361\u65b9\u62df\u5408\u4f18\u5ea6\u68c0\u9a8c<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u4e00\u4f4d\u5546\u5e97\u8001\u677f\u8bf4\uff0c\u4e00\u5468\u4e2d\u6bcf\u5929\u90fd\u6709\u76f8\u540c\u6570\u91cf\u7684\u987e\u5ba2\u6765\u5230\u4ed6\u7684\u5546\u5e97\u3002\u4e3a\u4e86\u68c0\u9a8c\u8fd9\u4e2a\u5047\u8bbe\uff0c\u7814\u7a76\u4eba\u5458\u8bb0\u5f55\u4e86\u7ed9\u5b9a\u4e00\u5468\u5185\u8fdb\u5165\u5546\u5e97\u7684\u987e\u5ba2\u6570\u91cf\uff0c\u5e76\u53d1\u73b0\u4ee5\u4e0b\u7ed3\u679c\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u5468\u4e00\uff1a<\/strong> 50 \u4f4d\u987e\u5ba2<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u5468\u4e8c\uff1a<\/strong> 60 \u4f4d\u987e\u5ba2<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u5468\u4e09\uff1a<\/strong> 40 \u4f4d\u987e\u5ba2<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u5468\u56db\uff1a<\/strong> 47 \u4f4d\u987e\u5ba2<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u5468\u4e94\uff1a<\/strong> 53 \u4f4d\u987e\u5ba2<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4f7f\u7528\u4ee5\u4e0b\u6b65\u9aa4\u5728 Python \u4e2d\u6267\u884c\u5361\u65b9\u62df\u5408\u4f18\u5ea6\u68c0\u9a8c\uff0c\u4ee5\u786e\u5b9a\u6570\u636e\u662f\u5426\u4e0e\u5e97\u4e3b\u7684\u8bf4\u6cd5\u4e00\u81f4\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 1 \u6b65\uff1a\u521b\u5efa\u6570\u636e\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u9996\u5148\uff0c\u6211\u4eec\u5c06\u521b\u5efa\u4e24\u4e2a\u8868\u6765\u5305\u542b\u6bcf\u5929\u89c2\u5bdf\u5230\u7684\u548c\u9884\u671f\u7684\u5ba2\u6237\u6570\u91cf\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>expected = [50, 50, 50, 50, 50]\nobserved = [50, 60, 40, 47, 53]\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 2\uff1a\u6267\u884c\u5361\u65b9\u62df\u5408\u4f18\u5ea6\u68c0\u9a8c\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528 SciPy \u5e93\u4e2d\u7684<a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.chisquare.html\" target=\"_blank\" rel=\"noopener\">\u5361\u65b9\u51fd\u6570\u6267\u884c\u5361\u65b9<\/a>\u62df\u5408\u4f18\u5ea6\u68c0\u9a8c\uff0c\u8be5\u51fd\u6570\u4f7f\u7528\u4ee5\u4e0b\u8bed\u6cd5\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5361\u65b9\uff08f_obs\uff0cf_exp\uff09<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>f_obs\uff1a<\/strong>\u89c2\u5bdf\u5230\u7684\u8ba1\u6570\u7684\u6570\u7ec4\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>f_exp\uff1a<\/strong>\u9884\u671f\u8ba1\u6570\u7684\u6570\u7ec4\u3002\u9ed8\u8ba4\u60c5\u51b5\u4e0b\uff0c\u5047\u5b9a\u6bcf\u4e2a\u7c7b\u522b\u7684\u53ef\u80fd\u6027\u76f8\u540c\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4e0b\u9762\u7684\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u5728\u6211\u4eec\u7684\u5177\u4f53\u793a\u4f8b\u4e2d\u4f7f\u7528\u8be5\u51fd\u6570\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> scipy.stats <span style=\"color: #107d3f;\">as<\/span> stats\n\n<span style=\"color: #008080;\">#perform Chi-Square Goodness of Fit Test<\/span>\nstats.chisquare(f_obs=observed, f_exp=expected)\n\n(statistic=4.36, pvalue=0.35947)\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u5361\u65b9\u68c0\u9a8c\u7edf\u8ba1\u91cf\u4e3a<strong>4.36<\/strong> \uff0c\u76f8\u5e94\u7684 p \u503c\u4e3a<strong>0.35947<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0cp \u503c\u5bf9\u5e94\u4e8e\u5177\u6709 n-1 \u81ea\u7531\u5ea6 (dof) \u7684\u5361\u65b9\u503c\uff0c\u5176\u4e2d n \u662f\u4e0d\u540c\u7c7b\u522b\u7684\u6570\u91cf\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0cdof = 5-1 = 4\u3002\u60a8\u53ef\u4ee5\u4f7f\u7528<a href=\"https:\/\/statorials.org\/cn\/\u5361\u65b9-p-\u503c\u8ba1\u7b97\u5668\/\" target=\"_blank\" rel=\"noopener\">\u5361\u65b9\u5230 P \u503c\u8ba1\u7b97\u5668<\/a>\u6765\u786e\u8ba4\u4e0e dof = 4 \u7684 X <sup>2<\/sup> = 4.36 \u5bf9\u5e94\u7684 p \u503c\u4e3a<strong>0.35947<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56de\u60f3\u4e00\u4e0b\uff0c\u5361\u65b9\u62df\u5408\u4f18\u5ea6\u68c0\u9a8c\u4f7f\u7528\u4ee5\u4e0b\u539f\u5047\u8bbe\u548c\u5907\u62e9\u5047\u8bbe\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> \uff1a\uff08\u96f6\u5047\u8bbe\uff09<\/strong>\u53d8\u91cf\u9075\u5faa\u5047\u8bbe\u5206\u5e03\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> \uff1a\uff08\u66ff\u4ee3\u5047\u8bbe\uff09<\/strong>\u53d8\u91cf\u4e0d\u9075\u5faa\u5047\u8bbe\u5206\u5e03\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u7531\u4e8e p \u503c (0.35947) \u4e0d\u5c0f\u4e8e 0.05\uff0c\u56e0\u6b64\u6211\u4eec\u65e0\u6cd5\u62d2\u7edd\u539f\u5047\u8bbe\u3002\u8fd9\u610f\u5473\u7740\u6211\u4eec\u6ca1\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u771f\u5b9e\u7684\u987e\u5ba2\u5206\u5e03\u4e0e\u5e97\u4e3b\u62a5\u544a\u7684\u4e0d\u540c\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5361\u65b9\u62df\u5408\u4f18\u5ea6\u68c0\u9a8c\u7528\u4e8e\u786e\u5b9a\u5206\u7c7b\u53d8\u91cf\u662f\u5426\u9075\u5faa\u5047\u8bbe\u5206\u5e03\u3002 \u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u5728 Python \u4e2d\u6267\u884c\u5361\u65b9\u62df\u5408\u4f18\u5ea6\u68c0\u9a8c\u3002  [&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-844","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin 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