{"id":92,"date":"2023-08-05T13:52:09","date_gmt":"2023-08-05T13:52:09","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e7%a6%bb%e7%be%a4%e5%80%bc-%e7%a6%bb%e7%be%a4%e5%80%bc\/"},"modified":"2023-08-05T13:52:09","modified_gmt":"2023-08-05T13:52:09","slug":"%e7%a6%bb%e7%be%a4%e5%80%bc-%e7%a6%bb%e7%be%a4%e5%80%bc","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e7%a6%bb%e7%be%a4%e5%80%bc-%e7%a6%bb%e7%be%a4%e5%80%bc\/","title":{"rendered":"\u975e\u5178\u578b\u503c\uff08\u5f02\u5e38\u503c\uff09"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u5f02\u5e38\u503c\u4ee5\u53ca\u5982\u4f55\u8ba1\u7b97\u5f02\u5e38\u503c\u3002\u6b64\u5916\uff0c\u60a8\u53ef\u4ee5\u4f7f\u7528\u5728\u7ebf\u8ba1\u7b97\u5668\u8ba1\u7b97\u4efb\u4f55\u6570\u636e\u6837\u672c\u7684\u5f02\u5e38\u503c\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-los-valores-atipicos-outliers\"><\/span>\u4ec0\u4e48\u662f\u5f02\u5e38\u503c\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c<strong>\u5f02\u5e38\u503c<\/strong>\u4e5f\u79f0\u4e3a<strong>\u5f02\u5e38\u503c<\/strong>\u6216<strong>\u79bb\u7fa4<\/strong>\u503c\uff0c\u662f\u4e0e\u6570\u636e\u96c6\u7684\u5176\u4f59\u90e8\u5206\u663e\u7740\u4e0d\u540c\u7684\u503c\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u5f02\u5e38\u503c\u662f\u4e0e\u6837\u672c\u4e2d\u5176\u4f59\u503c\u6781\u5176\u4e0d\u540c\u7684\u5f02\u5e38\u503c\u3002<\/p>\n<p>\u8bc6\u522b\u6837\u672c\u4e2d\u7684\u5f02\u5e38\u503c\u975e\u5e38\u91cd\u8981\uff0c\u56e0\u4e3a\u5b83\u4eec\u4f1a\u663e\u7740\u5f71\u54cd\u7edf\u8ba1\u5ea6\u91cf\u7684\u8ba1\u7b97\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u6709\u6570\u636e\u7cfb\u5217 [1, 3, 5, 2, 79, 4, 8, 6]\uff0c\u5219\u6570\u5b57 79 \u663e\u7136\u662f\u5f02\u5e38\u503c\u3002\u56e0\u4e3a\u5b83\u7684\u4ef7\u503c\u8fdc\u9ad8\u4e8e\u5176\u4ed6\u6570\u636e\u3002\u5728\u672c\u4f8b\u4e2d\uff0c\u5305\u542b\u79bb\u7fa4\u503c\u7684\u5e73\u5747\u503c\u4e3a 13.5\uff0c\u800c\u4e0d\u542b\u79bb\u7fa4\u503c\u7684\u5e73\u5747\u503c\u4e3a 4.14\u3002\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u5355\u4e2a\u5f02\u5e38\u503c\u5df2\u7ecf\u663e\u7740\u5f71\u54cd\u7edf\u8ba1\u6d4b\u91cf\u7684\u7ed3\u679c\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-6c54b9fbcc34da705376cb682980ca58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" 1, \\ 3, \\ 5, \\ 2, \\ 79, \\ 4, \\ 8, \\ 6 \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad \\text{Valor at\\'ipico: } 79\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"464\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u901a\u5e38\uff0c\u5f02\u5e38\u503c\u5728\u6563\u70b9\u56fe\u4e2d\u5f88\u5bb9\u6613\u533a\u5206\uff0c\u56e0\u4e3a\u5b83\u4eec\u4e0e\u5176\u4f59\u6570\u636e\u9694\u79bb\u3002\u770b\u4e0b\u9762\u7684\u6563\u70b9\u56fe\uff0c\u5f02\u5e38\u503c\u4e0e\u5176\u4f59\u503c\u975e\u5e38\u5206\u79bb\uff1a <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/valeurs-aberrantes.png\" alt=\"\u5f02\u5e38\u503c\u6216\u5176\u4ed6\u503c\u7684\u6563\u70b9\u56fe\" class=\"wp-image-1987\" width=\"256\" height=\"222\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \ud83d\udc49<u style=\"text-decoration-color:#FF8A05;\">\u60a8\u53ef\u4ee5\u4f7f\u7528\u4e0b\u9762\u7684\u8ba1\u7b97\u5668\u67e5\u627e\u4efb\u4f55\u6570\u636e\u96c6\u7684\u5f02\u5e38\u503c\u3002<\/u> <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-los-valores-atipicos\"><\/span>\u5982\u4f55\u8ba1\u7b97\u5f02\u5e38\u503c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8981\u8ba1\u7b97\u6570\u636e\u6837\u672c\u4e2d\u7684\u5f02\u5e38\u503c\uff0c\u5fc5\u987b\u9075\u5faa\u4ee5\u4e0b\u6b65\u9aa4\uff1a<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\u8ba1\u7b97\u6570\u636e\u96c6\u7684\u56db\u5206\u4f4d\u6570\u3002<\/span><\/li>\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\u8ba1\u7b97\u6570\u636e\u7684\u56db\u5206\u4f4d\u8ddd\u3002<\/span><\/li>\n<li><span style=\"color:#101010;font-weight: normal;\">\u975e\u5178\u578b\u503c\uff08\u5f02\u5e38\u503c\uff09\u5c06\u88ab\u89c6\u4e3a\u6ee1\u8db3\u4ee5\u4e0b\u6761\u4ef6\u4e4b\u4e00\u7684\u503c\uff1a<\/span>\n<ul style=\"color:#FF8A05; font-weight: bold; margin-top:12px\">\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\u8be5\u503c\u5c0f\u4e8e\u7b2c\u4e00\u4e2a\u56db\u5206\u4f4d\u6570\u51cf\u53bb\u56db\u5206\u4f4d\u8ddd\u7684 1.5 \u500d\u3002<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3d701496f3299d916488013b89b3bcf3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q\n\n<li style=&quot;margin-bottom:15px&quot;> <span style=&quot;color:#101010;font-weight: normal;&quot;>La valeur est sup\u00e9rieure au troisi\u00e8me quartile plus 1,5 fois l&#8217;intervalle interquartile.<\/span><\/li>\n<p>[latex]q>Q_3+1,5\\cdot IQR&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;84&#8243; width=&#8221;646&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<\/p>\n<\/ul>\n<\/li>\n<\/ol>\n<p>\u56e0\u6b64\uff0c\u4e3a\u4e86\u4ece\u6982\u7387\u5206\u5e03\u4e2d\u5220\u9664\u5f02\u5e38\u503c\uff0c\u60a8\u9700\u8981\u77e5\u9053\u5982\u4f55\u8ba1\u7b97\u6837\u672c\u7684\u56db\u5206\u4f4d\u6570\u548c\u56db\u5206\u4f4d\u6570\u8303\u56f4\u3002\u5982\u679c\u60a8\u6709\u4efb\u4f55\u7591\u95ee\uff0c\u8fd9\u91cc\u6709\u4e24\u4e2a\u94fe\u63a5\u8be6\u7ec6\u89e3\u91ca\u4e86\u5982\u4f55\u6267\u884c\u6b64\u64cd\u4f5c\uff1a <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u56db\u5206\u4f4d\u6570\/\">\u5982\u4f55\u8ba1\u7b97\u56db\u5206\u4f4d\u6570<\/a><br \/><span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u56db\u5206\u4f4d\u95f4\u8ddd\/\">\u5982\u4f55\u8ba1\u7b97\u56db\u5206\u4f4d\u6570\u8303\u56f4<\/a><\/div>\n<p>\u5728\u4e0b\u9762\u7684<span style=\"text-decoration: underline;\"><a href=\"https:\/\/statorials.org\/cn\/\u7bb1\u987b\u56fe\/\">\u7bb1\u7ebf\u56fe<\/a><\/span>\u4e2d\uff0c\u60a8\u53ef\u4ee5\u770b\u5230\u6839\u636e\u6b64\u6807\u51c6\u4ee5\u56fe\u5f62\u65b9\u5f0f\u8868\u793a\u7684\u4e24\u4e2a\u5f02\u5e38\u503c\uff1a <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/valeurs-aberrantes-outliers-boxplot.png\" alt=\"\u7bb1\u7ebf\u56fe\u5f02\u5e38\u503c\" class=\"wp-image-1995\" width=\"246\" height=\"453\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p><strong>\u6ce8\u610f\uff1a<\/strong>\u8bf7\u8bb0\u4f4f\uff0c\u6709\u51e0\u4e2a\u6807\u51c6\u53ef\u4ee5\u786e\u5b9a\u6570\u636e\u88ab\u89c6\u4e3a\u5f02\u5e38\u503c\u7684\u9650\u5236\u3002\u672c\u6587\u53c2\u8003\u4e86Tukey\u68c0\u9a8c\u51c6\u5219\uff0c\u56e0\u4e3a\u5b83\u662f\u6700\u5e38\u7528\u7684\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-valores-atipicos\"><\/span>\u5f02\u5e38\u503c\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8003\u8651\u5230\u5f02\u5e38\u503c\u7684\u5b9a\u4e49\uff0c\u5728\u672c\u8282\u4e2d\uff0c\u6211\u4eec\u5c06\u770b\u5230\u4e00\u4e2a\u5982\u4f55\u8bc6\u522b\u6570\u636e\u7cfb\u5217\u4e2d\u7684\u5f02\u5e38\u503c\u7684\u5b9e\u9645\u793a\u4f8b\u3002<\/p>\n<ul>\n<li>\u4ece\u4ee5\u4e0b\u7edf\u8ba1\u6570\u636e\u96c6\u4e2d\u8ba1\u7b97\u79bb\u7fa4\u503c\u6216\u79bb\u7fa4\u503c\u3002 <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exemple-de-donnees-ordonnees-resolues.png\" alt=\"\" class=\"wp-image-1510\" width=\"360\" height=\"153\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u9996\u5148\uff0c\u6211\u4eec\u8ba1\u7b97\u6570\u636e\u96c6\u7684\u4e09\u4e2a\u56db\u5206\u4f4d\u6570\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-cb06c41d2b1745e423e32e362a215782_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_1=4,06\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"80\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-50a1c84fc51c11756af3dc1b07260437_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_2=4,38\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"80\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e7f166b963a9fdc6e0a0677ae2c21861_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_3=4,66\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"80\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u4e00\u65e6\u6211\u4eec\u627e\u5230\u4e86\u4e09\u4e2a\u56db\u5206\u4f4d\u6570\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u901a\u8fc7\u51cf\u53bb\u56db\u5206\u4f4d\u6570 3 \u51cf\u53bb\u56db\u5206\u4f4d\u6570 1 \u6765\u627e\u5230\u56db\u5206\u4f4d\u6570\u95f4\u8ddd\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f287d0b87fff4e2a44ce1b98501b938a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"IQR=Q_3-Q_1=4,66-4,06=0,6\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"289\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u8ba1\u7b97\u5f02\u5e38\u503c\u8bbe\u7f6e\u7684\u9650\u5236\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u4f7f\u7528\u4e0a\u4e00\u8282\u4e2d\u89e3\u91ca\u7684\u516c\u5f0f\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-249fe40eff2d2ddc8dda38ea707ef86a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_1-1,5\\cdot IQR=4,06-1,5\\cdot 0,6=3,16\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"321\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-320d8a76fc0d3d41365b7ccf888d2e74_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_3+1,5\\cdot IQR=4,66+1,5\\cdot 0,6=5,56\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"321\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u5982\u679c\u4efb\u4f55\u4e00\u4e2a\u503c\u5c0f\u4e8e 3.16\uff0c\u5219\u4e3a\u5f02\u5e38\u503c\u3002\u540c\u6837\uff0c\u5982\u679c\u67d0\u4e2a\u503c\u5927\u4e8e 5.56\uff0c\u5b83\u4e5f\u662f\u5f02\u5e38\u503c\u3002<\/p>\n<p>\u603b\u4e4b\uff0c\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u6709\u4e24\u4e2a\u6781\u503c\uff0c\u56e0\u4e3a 3.02 \u5c0f\u4e8e 3.16\uff0c\u800c 5.71 \u5927\u4e8e 5.56\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c4ffd0f80e7456c53e82a80a8631b54b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Valores at\\'ipicos} =\\Bigl\\{3,02 \\ ; \\ 5,71\\Bigr\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" 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