{"id":368,"date":"2023-08-01T17:30:39","date_gmt":"2023-08-01T17:30:39","guid":{"rendered":"https:\/\/statorials.org\/cn\/u%e5%9e%8b%e6%8e%a7%e5%88%b6%e5%8d%a1\/"},"modified":"2023-08-01T17:30:39","modified_gmt":"2023-08-01T17:30:39","slug":"u%e5%9e%8b%e6%8e%a7%e5%88%b6%e5%8d%a1","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/u%e5%9e%8b%e6%8e%a7%e5%88%b6%e5%8d%a1\/","title":{"rendered":"U\u63a7\u5236\u5361"},"content":{"rendered":"<p>\u5728\u8fd9\u7bc7\u6587\u7ae0\u4e2d\u6211\u4eec\u5411\u60a8\u89e3\u91ca\u4ec0\u4e48\u662fU\u63a7\u5236\u5361\uff0c\u5b83\u7684\u7279\u70b9\u662f\u4ec0\u4e48\u4ee5\u53ca\u5b83\u7684\u7528\u9014\u662f\u4ec0\u4e48\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u5982\u4f55\u5236\u4f5c U \u63a7\u5236\u56fe\u4ee5\u53ca\u5982\u4f55\u9010\u6b65\u89e3\u51b3\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-un-grafico-de-control-u\"><\/span>\u4ec0\u4e48\u662fU\u63a7\u5236\u5361\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>U \u63a7\u5236\u56fe<\/strong>\uff08\u6216\u7b80\u79f0<strong>U \u56fe<\/strong>\uff09\u662f\u4e00\u79cd\u56fe\u8868\uff0c\u8868\u793a\u5728\u53ef\u53d8\u60c5\u51b5\u4e0b\u6bcf\u6d4b\u91cf\u5355\u4f4d\u53d1\u751f\u67d0\u79cd\u73b0\u8c61\u7684\u6b21\u6570\u3002<\/p>\n<p>\u4f8b\u5982\uff0cU \u63a7\u5236\u56fe\u53ef\u7528\u4e8e\u63a7\u5236\u6bcf\u5e73\u65b9\u7c73\u7ec7\u7269\u7684\u75b5\u70b9\u6570\u91cf\u3002\u7ec7\u7269\u6837\u54c1\u901a\u5e38\u4e0d\u80fd\u5177\u6709\u76f8\u540c\u7684\u8868\u9762\u79ef\uff0c\u56e0\u6b64\u6bcf\u4e2a\u6837\u54c1\u90fd\u662f\u4e0d\u540c\u7684\u3002\u56e0\u6b64\uff0cU \u63a7\u5236\u56fe\u4f7f\u6211\u4eec\u80fd\u591f\u7814\u7a76\u5177\u6709\u4e0d\u540c\u6837\u672c\u91cf\u7684\u8fc7\u7a0b\u3002<\/p>\n<p>\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0cU \u63a7\u5236\u56fe\u5e76\u4e0d\u4ee3\u8868\u7f3a\u9677\u5355\u5143\u7684\u6570\u91cf\uff0c\u800c\u662f\u4ee3\u8868\u6bcf\u4e2a\u5355\u5143\u6240\u5177\u6709\u7684\u7f3a\u9677\u6570\u91cf\uff0c\u5982 C \u63a7\u5236\u56fe\u6240\u793a\u3002\u76f8\u53cd\uff0cP \u6216 NP \u63a7\u5236\u56fe\u63a7\u5236\u7f3a\u9677\u4ea7\u54c1\u7684\u6bd4\u4f8b\u548c\u6570\u91cf\u3002\u4e0b\u9762\u6211\u4eec\u5c06\u770b\u770b\u5404\u79cd\u7c7b\u578b\u7684\u63a7\u5236\u56fe\u4e4b\u95f4\u7684\u5dee\u5f02\u3002<\/p>\n<p>\u8bf7\u8bb0\u4f4f\uff0cU \u63a7\u5236\u56fe\u7684\u53c2\u8003\u6570\u5b66\u6a21\u578b\u662f\u6cca\u677e\u5206\u5e03\uff0c\u56e0\u4e3a\u6211\u4eec\u7814\u7a76\u7684\u662f\u6bcf\u5355\u4f4d\u6d4b\u91cf\u4e2d\u73b0\u8c61\u53d1\u751f\u7684\u6b21\u6570\u3002 <\/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>\u53c2\u89c1\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u9c7c\u7c7b\u6cd5\/\">\u9c7c\u7c7b\u5206\u5e03<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-hacer-un-grafico-de-control-u\"><\/span>\u5982\u4f55\u521b\u5efa U \u63a7\u5236\u56fe<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4e86U\u63a7\u5236\u56fe\u7684\u5b9a\u4e49\uff0c\u6211\u4eec\u6765\u770b\u770b\u8fd9\u79cd\u7c7b\u578b\u7684\u63a7\u5236\u56fe\u662f\u5982\u4f55\u5236\u4f5c\u7684\uff1a<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u53d6\u6837<\/strong>\uff1a\u9996\u5148\uff0c\u5fc5\u987b\u53d6\u6837\u4e0d\u540c\u7684\u6837\u672c\u6765\u89c2\u5bdf\u5f85\u6d4b\u73b0\u8c61\u7684\u6f14\u53d8\u3002\u6837\u54c1\u7684\u5927\u5c0f\u5fc5\u987b\u76f8\u540c\uff0c\u6b64\u5916\uff0c\u5efa\u8bae\u81f3\u5c11\u62bd\u53d620\u4e2a\u6837\u54c1\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u786e\u5b9a\u6bcf\u4e2a\u6d4b\u91cf\u5355\u4f4d\u8be5\u73b0\u8c61\u53d1\u751f\u7684\u6b21\u6570<\/strong>\uff1a\u5bf9\u4e8e\u6bcf\u4e2a\u6837\u672c\uff0c\u8981\u7814\u7a76\u7684\u73b0\u8c61\u91cd\u590d\u7684\u6b21\u6570\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u8ba1\u7b97\u53d1\u751f\u6b21\u6570\u7684\u5e73\u5747\u503c<\/strong>\uff1a\u6839\u636e\u6536\u96c6\u7684\u6570\u636e\uff0c\u9700\u8981\u8ba1\u7b97\u6bcf\u6d4b\u91cf\u5355\u4f4d\u8be5\u73b0\u8c61\u53d1\u751f\u6b21\u6570\u7684\u5e73\u5747\u503c\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-aeaaf536126edfa72f3107c37494e66f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{u}=\\cfrac{\\text{N\\'umero de veces que ocurre el fen\\'omeno}}{\\text{N\\'umero total de unidades de todas las muestras}}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"411\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u8ba1\u7b97 U \u5361\u63a7\u5236\u9650\u503c<\/strong>\u2013 \u7136\u540e\u5e94\u4f7f\u7528\u4e0b\u9762\u7ed9\u51fa\u7684\u516c\u5f0f\u8ba1\u7b97 U \u5361\u63a7\u5236\u9650\u503c\u3002\u8bf7\u8bb0\u4f4f\uff0c\u63a7\u5236\u9650\u7684\u503c\u6839\u636e\u6837\u672c\u5927\u5c0f\u800c\u53d8\u5316\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-30877b8330355a26eda2d07df6ce5be2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle LCS_i=\\overline{u}+3\\sqrt{\\frac{\\overline{u}}{n_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"145\" style=\"vertical-align: -16px;\"><\/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-6a810776474b3d598e50584941195ec7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle LCI_i=\\overline{u}-3\\sqrt{\\frac{\\overline{u}}{n_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"142\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p><span style=\"color:#101010;font-weight: normal;\">\u91d1\u5b50<\/span><\/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-2cfde2dc206866df70d08e2ff5bed6cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"LCS_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"42\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u548c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bccfff388618cef4a22df96aaaac212d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"LCI_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"39\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u5206\u522b\u4e3a\u6837\u54c1 i \u7684\u63a7\u5236\u4e0a\u9650\u548c\u4e0b\u9650\uff0c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5f0deda844885740f5f0d5aa1d64d5e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{u}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u51fa\u73b0\u6b21\u6570\u7684\u5e73\u5747\u503c\uff0c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5f087375b50e0b49186779714206626b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u6837\u672c\u5927\u5c0f i\u3002<\/p>\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u5728\u5730\u56fe\u4e0a\u7ed8\u5236\u503c<\/strong>\u2013 \u73b0\u5728\u5fc5\u987b\u5c06\u6536\u96c6\u7684\u503c\u4ee5\u53ca\u8ba1\u7b97\u51fa\u7684\u63a7\u5236\u9650\u7ed8\u5236\u5728\u5730\u56fe\u4e0a\u4ee5\u521b\u5efa U \u63a7\u5236\u56fe\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u5206\u6790 U \u63a7\u5236\u5361<\/strong>\uff1a\u6700\u7ec8\u5269\u4e0b\u7684\u5c31\u662f\u68c0\u67e5\u5361\u4e0a\u7684\u503c\u662f\u5426\u8d85\u51fa\u63a7\u5236\u8303\u56f4\uff0c\u4ece\u800c\u786e\u4fdd\u8fc7\u7a0b\u5904\u4e8e\u53d7\u63a7\u72b6\u6001\u3002\u5426\u5219\uff0c\u5fc5\u987b\u91c7\u53d6\u63aa\u65bd\u7ea0\u6b63\u8be5\u8fc7\u7a0b\u3002<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-grafico-de-control-u\"><\/span> U\u63a7\u5236\u5361\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>\u4e00\u5bb6\u5de5\u4e1a\u516c\u53f8\u5e0c\u671b\u63a7\u5236\u6bcf<sup>\u5e73\u65b9\u7c73<\/sup>\u7ec7\u7269\u7684\u7f3a\u9677\u6570\u91cf\u3002\u4e0b\u8868\u5217\u51fa\u4e86\u5206\u6790\u7684\u6837\u54c1\u548c\u53d1\u73b0\u7684\u7f3a\u9677\u6570\u91cf\u3002\u521b\u5efa U \u63a7\u5236\u56fe\u6765\u7814\u7a76\u7f3a\u9677\u6570\u91cf\u3002 <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"370\" height=\"564\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/carte-de-controle-des-donnees-u.png\" alt=\"\" class=\"wp-image-8364\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u4e3a\u4e86\u521b\u5efa U \u63a7\u5236\u56fe\uff0c\u60a8\u5fc5\u987b\u9996\u5148\u8ba1\u7b97\u6bcf\u4e2a\u6837\u672c\u7684\u7f3a\u9677\u6570\u7684\u5e73\u5747\u503c\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-dc2c1079774bdbfba72918d10a014a5e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{u}=\\cfrac{\\text{N\\'umero de veces que ocurre el fen\\'omeno}}{\\text{N\\'umero total de unidades}}=\\cfrac{78}{25,4}=3,07\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"471\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u73b0\u5728\u9700\u8981<a href=\"https:\/\/statorials.org\/cn\/\u63a7\u5236\u9650\u5ea6\/\">\u8ba1\u7b97\u6bcf\u4e2a\u6837\u672c\u7684\u63a7\u5236\u9650<\/a>\u3002\u4f8b\u5982\uff0c\u7b2c\u4e00\u4e2a\u6837\u54c1\u7684\u63a7\u5236\u9650\u8ba1\u7b97\u5982\u4e0b\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-6456d72af1aefca08e93021b9e7329c3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle LCS_1=\\overline{u}+3\\sqrt{\\frac{\\overline{u}}{n_1}}=3,07+3\\sqrt{\\frac{3,07}{1}}=8,33\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"352\" style=\"vertical-align: -16px;\"><\/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-23b8cb714709b18078edb7a44da0f6eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle LCI_1=\\overline{u}-3\\sqrt{\\frac{\\overline{u}}{n_1}}=3,07-3\\sqrt{\\frac{3,07}{1}}=-2,19\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"363\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u6240\u6709\u63a7\u5236\u4e0b\u9650\u90fd\u4f1a\u5bfc\u81f4\u8d1f\u6570\uff0c\u8fd9\u662f\u6ca1\u6709\u610f\u4e49\u7684\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u63a7\u5236\u4e0b\u9650\u8bbe\u7f6e\u4e3a0\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u6bcf\u4e2a\u6837\u672c\u7684\u63a7\u5236\u9650\u503c\u5982\u4e0b\uff1a <\/p>\n<figure class=\"wp-block-image aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"536\" height=\"564\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/donnees-limites-graph-u.png\" alt=\"\" class=\"wp-image-8368\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u6700\u540e\uff0c\u7528\u4e00\u5f20\u56fe\u4e2d\u7684\u6240\u6709\u503c\u6765\u8868\u793a\u5c31\u53ef\u4ee5\u5f97\u5230\u63a7\u5236\u56feU\uff1a <\/p>\n<figure class=\"wp-block-image aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"470\" height=\"312\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exemple-de-carte-de-controle.png\" alt=\"U\u63a7\u5236\u5361\" class=\"wp-image-8369\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u4ece\u6211\u4eec\u5236\u4f5c\u7684U\u56fe\u4e2d\u53ef\u4ee5\u770b\u5230\uff0c\u6240\u6709\u7684\u503c\u90fd\u5728\u63a7\u5236\u9650\u4e4b\u95f4\u3002\u56e0\u6b64\u6211\u4eec\u53ef\u4ee5\u5f97\u51fa\u7ed3\u8bba\uff0c\u751f\u4ea7\u8fc7\u7a0b\u662f\u53d7\u63a7\u7684\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"otros-tipos-de-graficos-de-control\"><\/span>\u5176\u4ed6\u7c7b\u578b\u7684\u63a7\u5236\u56fe<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u9664 U \u63a7\u5236\u56fe\u5916\uff0c\u8fd8\u6709\u5176\u4ed6\u7c7b\u578b\u7684\u5c5e\u6027\u63a7\u5236\u56fe\uff1a<\/p>\n<ul>\n<li> <strong><a href=\"https:\/\/statorials.org\/cn\/\u63a7\u5236\u5361p\/\">P\u63a7\u5236\u5361<\/a><\/strong>\uff1a\u63a7\u5236\u4e0d\u826f\u54c1\u6bd4\u4f8b\u3002<\/li>\n<li> <strong><strong><a href=\"https:\/\/statorials.org\/cn\/np\u63a7\u5236\u5361\/\">NP\u63a7\u5236\u5361<\/a><\/strong><\/strong>\uff1a\u63a7\u5236\u4e0d\u826f\u54c1\u6570\u91cf\u3002<\/li>\n<li><strong><strong><a href=\"https:\/\/statorials.org\/cn\/\u63a7\u5236\u5361c\/\">\u63a7\u5236\u56feC<\/a><\/strong><\/strong> \uff1a\u7f3a\u9677\u6570\u91cf\u7684\u63a7\u5236\u4e0e\u56feU\u76f8\u540c\uff0c\u4f46\u6837\u672c\u91cf\u662f\u6052\u5b9a\u7684\u3002<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u8fd9\u7bc7\u6587\u7ae0\u4e2d\u6211\u4eec\u5411\u60a8\u89e3\u91ca\u4ec0\u4e48\u662fU\u63a7\u5236\u5361\uff0c\u5b83\u7684\u7279\u70b9\u662f\u4ec0\u4e48\u4ee5\u53ca\u5b83\u7684\u7528\u9014\u662f\u4ec0\u4e48\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u5982\u4f55\u5236\u4f5c U \u63a7\u5236 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