{"id":283,"date":"2023-08-03T03:50:30","date_gmt":"2023-08-03T03:50:30","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%af%94%e4%be%8b%e5%b7%ae%e5%bc%82%e7%9a%84%e7%bd%ae%e4%bf%a1%e5%8c%ba%e9%97%b4\/"},"modified":"2023-08-03T03:50:30","modified_gmt":"2023-08-03T03:50:30","slug":"%e6%af%94%e4%be%8b%e5%b7%ae%e5%bc%82%e7%9a%84%e7%bd%ae%e4%bf%a1%e5%8c%ba%e9%97%b4","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%af%94%e4%be%8b%e5%b7%ae%e5%bc%82%e7%9a%84%e7%bd%ae%e4%bf%a1%e5%8c%ba%e9%97%b4\/","title":{"rendered":"\u6bd4\u4f8b\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7edf\u8ba1\u4e2d\u6bd4\u4f8b\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\u662f\u4ec0\u4e48\u4ee5\u53ca\u5b83\u7684\u7528\u9014\u3002\u60a8\u8fd8\u5c06\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u4e24\u4e2a\u6bd4\u4f8b\u4e4b\u5dee\u7684\u7f6e\u4fe1\u533a\u95f4\u4ee5\u53ca\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-intervalo-de-confianza-para-la-diferencia-de-proporciones\"><\/span>\u6bd4\u4f8b\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\u662f\u591a\u5c11\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u6bd4\u4f8b\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4<\/strong>\u662f\u63d0\u4f9b\u4e00\u7cfb\u5217\u53ef\u63a5\u53d7\u503c\u7684\u533a\u95f4\uff0c\u5728\u8be5\u8303\u56f4\u5185\u4e24\u4e2a\u603b\u4f53\u6bd4\u4f8b\u4e4b\u95f4\u7684\u5dee\u5f02\u503c\u7b26\u5408\u4e00\u5b9a\u7684\u7f6e\u4fe1\u6c34\u5e73\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u5728 95% \u7f6e\u4fe1\u6c34\u5e73\u4e0b\u4e24\u4e2a\u603b\u4f53\u6bd4\u4f8b\u4e4b\u95f4\u7684\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\u4e3a (0.07, 15)\uff0c\u5219\u8fd9\u610f\u5473\u7740\u4e24\u4e2a\u603b\u4f53\u6bd4\u4f8b\u4e4b\u95f4\u7684\u5dee\u5f02\u5c06\u5728 7% \u5230 15% \u4e4b\u95f4\uff0c\u6982\u7387\u4e3a95%\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c\u6bd4\u4f8b\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\u7528\u4e8e\u4f30\u8ba1\u4e24\u4e2a\u503c\uff0c\u8fd9\u4e24\u4e2a\u503c\u4e4b\u95f4\u8054\u7cfb\u7740\u4e24\u4e2a\u4eba\u53e3\u6bd4\u4f8b\u4e4b\u95f4\u7684\u5dee\u5f02\u3002\u56e0\u6b64\u6536\u96c6\u4e86\u4e24\u4e2a\u6837\u672c\uff0c\u5e76\u4e14\u6839\u636e\u8fd9\u4e9b\u6570\u636e\u53ef\u4ee5\u5927\u81f4\u8bc4\u4f30\u603b\u4f53\u6bd4\u4f8b\u4e4b\u95f4\u7684\u5dee\u5f02\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>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u5747\u503c\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\/\">\u5747\u503c\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-del-intervalo-de-confianza-para-la-diferencia-de-proporciones\"><\/span>\u6bd4\u4f8b\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7f6e\u4fe1\u6c34\u5e73\u4e3a1-\u03b1\u7684<strong>\u6bd4\u4f8b\u5dee\u7684\u7f6e\u4fe1\u533a\u95f4\u8ba1\u7b97\u516c\u5f0f<\/strong>\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-73dd1f9d9a9245f9a3d48dbd29764cab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (\\widehat{p_1}-\\widehat{p_2})\\pm Z_{\\alpha\/2}\\sqrt{\\frac{\\widehat{p_1}(1-\\widehat{p_1})}{n_1}+\\frac{\\widehat{p_2}(1-\\widehat{p_2})}{n_2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"328\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\">\u91d1\u5b50\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ad10d8ae9a51401d94ca9742249d6d15_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"15\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f\u6837\u672c\u6bd4\u4f8b i\u3002<\/li>\n<li style=\"margin-bottom:5px\">\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<\/li>\n<li style=\"margin-bottom:7px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-6f8ee37ecf97c2a7c7d6dbe8fddddc27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z_{\\alpha\/2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"34\" style=\"vertical-align: -8px;\"><\/p>\n<p>\u662f\u5bf9\u5e94\u4e8e \u03b1\/2 \u6982\u7387\u7684\u6807\u51c6\u6b63\u6001\u5206\u5e03\u7684\u5206\u4f4d\u6570\u3002\u5bf9\u4e8e\u5927\u6837\u672c\u91cf\u548c 95% \u7f6e\u4fe1\u6c34\u5e73\uff0c\u5b83\u901a\u5e38\u63a5\u8fd1 1.96\uff1b\u5bf9\u4e8e 99% \u7f6e\u4fe1\u6c34\u5e73\uff0c\u5b83\u901a\u5e38\u63a5\u8fd1 2.576\u3002 <\/li>\n<\/ul>\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\/\u6bd4\u4f8b\u7684\u7f6e\u4fe1\u533a\u95f4\/\">\u6bd4\u4f8b\u7684\u7f6e\u4fe1\u533a\u95f4\u516c\u5f0f<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-resuelto-del-intervalo-de-confianza-para-la-diferencia-de-proporciones\"><\/span>\u6bd4\u4f8b\u5dee\u5f02\u7f6e\u4fe1\u533a\u95f4\u7684\u5177\u4f53\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u4e86\u89e3\u4e86\u6bd4\u4f8b\u5dee\u7684\u7f6e\u4fe1\u533a\u95f4\u7684\u5b9a\u4e49\u53ca\u5176\u516c\u5f0f\u662f\u4ec0\u4e48\u4e4b\u540e\uff0c\u6211\u4eec\u5c06\u770b\u5230\u4e00\u4e2a\u5177\u4f53\u7684\u4f8b\u5b50\u6765\u8bf4\u660e\u5982\u4f55\u8ba1\u7b97\u6bd4\u4f8b\u5dee\u7684\u7f6e\u4fe1\u533a\u95f4\u3002<\/p>\n<ul>\n<li>\u6211\u4eec\u60f3\u505a\u4e00\u4e2a\u5de6\u6487\u5b50\u6bd4\u4f8b\u7684\u7edf\u8ba1\u7814\u7a76\uff0c\u66f4\u51c6\u786e\u5730\u8bf4\uff0c\u6211\u4eec\u60f3\u77e5\u9053\u7537\u6027\u548c\u5973\u6027\u5de6\u6487\u5b50\u6bd4\u4f8b\u7684\u5dee\u5f02\u3002\u4e3a\u6b64\uff0c\u62bd\u53d6\u4e86 60 \u540d\u7537\u6027\u6837\u672c\u548c 67 \u540d\u5973\u6027\u6837\u672c\uff0c\u5176\u4e2d 5 \u540d\u7537\u6027\u548c 7 \u540d\u5973\u6027\u4e3a\u5de6\u6487\u5b50\u3002 95% \u7f6e\u4fe1\u6c34\u5e73\u4e0b\u6bd4\u4f8b\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\u662f\u591a\u5c11\uff1f<\/li>\n<\/ul>\n<p>\u9996\u5148\uff0c\u6211\u4eec\u9700\u8981\u8ba1\u7b97\u6bcf\u4e2a\u7edf\u8ba1\u6837\u672c\u4e2d\u5de6\u6487\u5b50\u7684\u6bd4\u4f8b\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-f71fe6b5e11cf7be2650ac723d4b69b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p_1}=\\cfrac{5}{60}=0,083\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"128\" style=\"vertical-align: -12px;\"><\/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-43a2b255ab56c94be8d1227a1d532449_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p_2}=\\cfrac{7}{67}=0,104\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"128\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u6b63\u5982\u6211\u4eec\u5728\u4e0a\u4e00\u8282\u4e2d\u770b\u5230\u7684\uff0c\u786e\u5b9a\u6bd4\u4f8b\u5dee\u5f02\u7f6e\u4fe1\u533a\u95f4\u7684\u516c\u5f0f\u4e3a\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-73dd1f9d9a9245f9a3d48dbd29764cab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (\\widehat{p_1}-\\widehat{p_2})\\pm Z_{\\alpha\/2}\\sqrt{\\frac{\\widehat{p_1}(1-\\widehat{p_1})}{n_1}+\\frac{\\widehat{p_2}(1-\\widehat{p_2})}{n_2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"328\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u4e3a\u4e86\u627e\u5230\u6bd4\u4f8b\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\uff0c\u6211\u4eec\u9700\u8981\u786e\u5b9a Z <sub>\u03b1<\/sub> \/2 \u7684\u503c\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u4f7f\u7528<a href=\"https:\/\/statorials.org\/cn\/\u6b63\u6001\u5206\u5e03\u8868\/\">\u6807\u51c6\u6b63\u6001\u5206\u5e03\u8868<\/a>\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-776a555edd1d064cf29a3a354caa5325_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1-\\alpha=0,95 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\alpha=0,05 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ \\alpha\/2=0,025\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"534\" style=\"vertical-align: -5px;\"><\/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-54dda39d0da5b29f2d25728b89565859_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}Z_{\\alpha\/2}= \\ \\color{orange}\\bm{?}\\\\[4ex]Z_{0,025}=1,96\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"71\" width=\"127\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u5c06\u6570\u636e\u4ee3\u5165\u516c\u5f0f\u5e76\u8ba1\u7b97\u6bd4\u4f8b\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\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-73dd1f9d9a9245f9a3d48dbd29764cab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (\\widehat{p_1}-\\widehat{p_2})\\pm Z_{\\alpha\/2}\\sqrt{\\frac{\\widehat{p_1}(1-\\widehat{p_1})}{n_1}+\\frac{\\widehat{p_2}(1-\\widehat{p_2})}{n_2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"328\" style=\"vertical-align: -20px;\"><\/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-697c9979fadd5a4a87952cdf3015109d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (0,083-0,104)\\pm 1,96\\cdot \\sqrt{\\frac{0,083\\cdot(1-0,083)}{60}+\\frac{0,104\\cdot(1-0,104)}{67}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"526\" style=\"vertical-align: -13px;\"><\/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-0bb29f1bd8a63bf3114dd54c95fd7b53_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle -0,021\\pm  0,101\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"121\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u7b80\u800c\u8a00\u4e4b\uff0c\u95ee\u9898\u6bd4\u4f8b\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\u4e3a\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-2b782f75c52b6dd00e8a46ea43b612e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(-0,122 \\ , \\ 0,08)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"123\" style=\"vertical-align: -5px;\"><\/p>\n<\/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\/\u6bd4\u4f8b\u5dee\u5f02\u7684\u5047\u8bbe\u68c0\u9a8c\/\">\u6bd4\u4f8b\u5dee\u5f02\u7684\u5047\u8bbe\u68c0\u9a8c<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7edf\u8ba1\u4e2d\u6bd4\u4f8b\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\u662f\u4ec0\u4e48\u4ee5\u53ca\u5b83\u7684\u7528\u9014\u3002\u60a8\u8fd8\u5c06\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u4e24\u4e2a\u6bd4\u4f8b\u4e4b\u5dee\u7684\u7f6e\u4fe1\u533a\u95f4\u4ee5\u53ca\u9010\u6b65\u89e3\u51b3\u7684\u7ec3 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-283","post","type-post","status-publish","format-standard","hentry","category-14"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ 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