{"id":245,"date":"2023-08-03T17:04:50","date_gmt":"2023-08-03T17:04:50","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%a0%b7%e6%9c%ac%e9%87%8f\/"},"modified":"2023-08-03T17:04:50","modified_gmt":"2023-08-03T17:04:50","slug":"%e6%a0%b7%e6%9c%ac%e9%87%8f","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%a0%b7%e6%9c%ac%e9%87%8f\/","title":{"rendered":"\u6837\u672c\u91cf"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u6837\u672c\u91cf\u4ee5\u53ca\u5b83\u5728\u7edf\u8ba1\u5b66\u4e2d\u7684\u91cd\u8981\u6027\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u5c06\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u9002\u5f53\u7684\u6837\u672c\u91cf\u548c\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff0c\u4ee5\u4fbf\u60a8\u4e86\u89e3\u5b83\u662f\u5982\u4f55\u5b8c\u6210\u7684\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-tamano-de-la-muestra\"><\/span>\u6837\u672c\u91cf\u662f\u591a\u5c11\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u6837\u672c\u91cf<\/strong>\uff08\u6216<strong>\u6837\u672c\u91cf<\/strong>\uff09\u662f\u6784\u6210\u7814\u7a76\u6837\u672c\u7684\u4e2a\u4f53\u6570\u91cf\u3002\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c\u6837\u672c\u91cf\u5f88\u91cd\u8981\uff0c\u8fd9\u6837\u6837\u672c\u624d\u80fd\u4ee3\u8868\u6574\u4e2a\u603b\u4f53\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u7edf\u8ba1\u7814\u7a76\u7684\u6837\u672c\u91cf\u5fc5\u987b\u8db3\u591f\u5927\uff0c\u624d\u80fd\u4ee3\u8868\u6574\u4e2a\u4eba\u7fa4\u7684\u7279\u5f81\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u6837\u672c\u91cf\u4e0d\u80fd\u592a\u5927\uff0c\u56e0\u4e3a\u8fd9\u6837\u7814\u7a76\u5c31\u4f1a\u53d8\u5f97\u66f4\u52a0\u6602\u8d35\u3002\u603b\u4e4b\uff0c\u6837\u672c\u91cf\u8981\u5145\u8db3\uff0c\u4e0d\u80fd\u592a\u5927\u4e5f\u4e0d\u80fd\u592a\u5c0f\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u60f3\u5bf9\u4e00\u4e2a\u56fd\u5bb6\u7684\u8eab\u9ad8\u8fdb\u884c\u5206\u6790\uff0c\u6211\u4eec\u4e0d\u80fd\u8981\u6c42\u8be5\u56fd\u6240\u6709\u5c45\u6c11\u7684\u8eab\u9ad8\uff0c\u56e0\u4e3a\u6d4b\u91cf\u65f6\u95f4\u4f1a\u5f88\u957f\uff0c\u800c\u4e14\u6210\u672c\u592a\u9ad8\u3002\u56e0\u6b64\uff0c\u6709\u5fc5\u8981\u8fdb\u884c\u968f\u673a\u62bd\u6837\u5e76\u4ec5\u91c7\u8bbf\u603b\u4f53\u4e2d\u5177\u6709\u4ee3\u8868\u6027\u7684\u6837\u672c\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\/\u62bd\u6837\u7c7b\u578b\/\">\u62bd\u6837\u7c7b\u578b<\/a><\/div>\n<p>\u6211\u4eec\u5982\u4f55\u77e5\u9053\u5408\u9002\u7684\u6837\u672c\u91cf\uff1f\u5728\u4e0b\u4e00\u8282\u4e2d\uff0c\u6211\u4eec\u5c06\u4e86\u89e3\u5982\u4f55\u6839\u636e\u7814\u7a76\u8981\u6c42\u786e\u5b9a\u5408\u9002\u7684\u6837\u672c\u91cf\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-el-tamano-de-la-muestra\"><\/span>\u5982\u4f55\u8ba1\u7b97\u6837\u672c\u91cf<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e3a\u4e86\u4f30\u8ba1\u5e73\u5747\u503c\uff0c\u6240\u9700\u7684\u6837\u672c\u91cf\u7b49\u4e8e Z <sub>\u03b1\/2<\/sub>\u7684\u5e73\u65b9\u4e58\u4ee5\u6807\u51c6\u5dee (\u03c3) \u518d\u9664\u4ee5\u6240\u9700\u7684\u8bef\u5dee\u5e45\u5ea6 (e)\u3002\u56e0\u6b64\uff0c<strong>\u8ba1\u7b97\u6837\u672c\u91cf\u7684\u516c\u5f0f<\/strong>\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-ddd725a5b2cefc85de7e4ca67694863a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle n=\\left(\\frac{Z_{\\alpha\/2}\\cdot\\sigma}{e}\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"130\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:7px\">\u91d1\u5b50\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\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-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6837\u672c\u5927\u5c0f\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-5f44d9bbc8046069be4aa2989bff19aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6240\u9700\u7684\u663e\u7740\u6027\u6c34\u5e73\u3002\u8003\u8651\u5230\u8fd9\u4e00\u70b9<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5280f4c3615553fc7f5a96263d8db651_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1-\\alpha\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"41\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6240\u9700\u7684\u7f6e\u4fe1\u6c34\u5e73\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<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-eaaf379fee5e67946f3fedf5631047b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6807\u51c6\u5dee\u3002<\/li>\n<\/ul>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u5728\u6b64\u516c\u5f0f\u4e2d\u5047\u8bbe\u4eba\u53e3\u89c4\u6a21\u662f\u65e0\u9650\u7684\uff0c\u5373\u4eba\u53e3\u89c4\u6a21\u975e\u5e38\u5927\u6216\u672a\u77e5\u3002<\/p>\n<p><strong>\u6ce8\uff1a<\/strong>\u4e0a\u5f0f\u662f\u4ece<a href=\"https:\/\/statorials.org\/cn\/\u5e73\u5747\u503c\u7684\u7f6e\u4fe1\u533a\u95f4\/\">\u5e73\u5747\u503c \u7684\u7f6e\u4fe1\u533a\u95f4\u516c\u5f0f<\/a>\u63a8\u5bfc\u51fa\u6765\u7684\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-del-calculo-del-tamano-de-una-muestra\"><\/span>\u6837\u672c\u91cf\u8ba1\u7b97\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u672c\u8282\u4e2d\uff0c\u6211\u4eec\u5c06\u4ee5\u8ba1\u7b97\u7edf\u8ba1\u8c03\u67e5\u7684\u9002\u5f53\u6837\u672c\u91cf\u4e3a\u4f8b\u3002<\/p>\n<ul>\n<li>\u6211\u4eec\u77e5\u9053\u603b\u4f53\u7684\u6807\u51c6\u5dee\u7ea6\u4e3a 15\uff0c\u4f46\u6211\u4eec\u4e0d\u77e5\u9053\u5176\u5e73\u5747\u503c\uff0c\u56e0\u6b64\u6211\u4eec\u60f3\u8981\u8fdb\u884c\u4e00\u9879\u7814\u7a76\u6765\u4f30\u8ba1\u5e73\u5747\u503c\u3002\u5982\u679c\u6211\u4eec\u60f3\u8981 \u00b12 \u7684\u8bef\u5dee\u5e45\u5ea6\u548c 95% \u7684\u7f6e\u4fe1\u6c34\u5e73\uff0c\u6211\u4eec\u9700\u8981\u591a\u5927\u7684\u6837\u672c\u91cf\uff1f<\/li>\n<\/ul>\n<p>\u6b63\u5982\u6211\u4eec\u5728\u4e0a\u9762\u770b\u5230\u7684\uff0c\u8ba1\u7b97\u6837\u672c\u91cf\u7684\u516c\u5f0f\u662f\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-ddd725a5b2cefc85de7e4ca67694863a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle n=\\left(\\frac{Z_{\\alpha\/2}\\cdot\\sigma}{e}\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"130\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6240\u9700\u7684\u7f6e\u4fe1\u6c34\u5e73\u4e3a 95%\uff0c\u56e0\u6b64\u76f8\u5e94\u7684 Z <sub>\u03b1\/2<\/sub>\u503c\u4e3a 1.96\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<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\/\u4e00\u5b9a\u7a0b\u5ea6\u7684\u4fe1\u5fc3\/\">\u5305\u542b\u7f6e\u4fe1\u6c34\u5e73\u503c\u7684\u8868\u683c<\/a><\/div>\n<p>\u6700\u540e\uff0c\u65e2\u7136\u6211\u4eec\u77e5\u9053\u4e86\u6240\u6709\u53c2\u6570\u7684\u503c\uff0c\u6211\u4eec\u5c06\u5b83\u4eec\u7684\u503c\u4ee3\u5165\u516c\u5f0f\u5e76\u8ba1\u7b97\u6837\u672c\u91cf\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-dd8e2d30042f759051fb52c5c55ade44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle n&amp;=\\left(\\frac{Z_{\\alpha\/2}\\cdot\\sigma}{e}\\right)^2\\\\[2ex] n&amp;=\\left(\\frac{1,96\\cdot 15}{2}\\right)^2\\\\[2ex] n&amp;=216,09 \\approx 217 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"155\" width=\"137\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u7b80\u800c\u8a00\u4e4b\uff0c\u4e3a\u4e86\u6839\u636e\u671f\u671b\u7684\u8981\u6c42\u4f30\u8ba1\u603b\u4f53\u5e73\u5747\u503c\uff0c\u6211\u4eec\u81f3\u5c11\u9700\u8981 217 \u4e2a\u4eba\u7684\u6837\u672c\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tamano-de-la-muestra-nivel-de-confianza-y-margen-de-error\"><\/span>\u6837\u672c\u91cf\u3001\u7f6e\u4fe1\u6c34\u5e73\u548c\u8bef\u5dee\u5e45\u5ea6<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6839\u636e\u6240\u9700\u7684\u7f6e\u4fe1\u6c34\u5e73\u548c\u8bef\u5dee\u5e45\u5ea6\uff0c\u6240\u9700\u7684\u6837\u672c\u91cf\u4f1a\u6709\u6240\u4e0d\u540c\u3002\u56e0\u6b64\uff0c\u6837\u672c\u91cf\u3001\u7f6e\u4fe1\u5ea6\u548c\u8bef\u5dee\u5e45\u5ea6\u4e4b\u95f4\u7684\u5173\u7cfb\u5982\u4e0b\uff1a<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u6837\u672c\u91cf\u548c\u7f6e\u4fe1\u5ea6\u6210\u6b63\u6bd4\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5982\u679c\u7f6e\u4fe1\u6c34\u5e73\u589e\u52a0\uff0c\u6837\u672c\u91cf\u4e5f\u4f1a\u589e\u52a0\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u6837\u672c\u91cf\u548c\u8bef\u5dee\u5e45\u5ea6\u6210\u53cd\u6bd4\u3002\u56e0\u6b64\uff0c\u5982\u679c\u8bef\u5dee\u5e45\u5ea6\u589e\u52a0\uff0c\u6837\u672c\u91cf\u5c31\u4f1a\u51cf\u5c11\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u56e0\u6b64\uff0c\u589e\u52a0\u6837\u672c\u91cf\u53ef\u4ee5\u63d0\u9ad8\u7f6e\u4fe1\u6c34\u5e73\u6216\u51cf\u5c11\u8bef\u5dee\u5e45\u5ea6\u3002<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"otras-formulas-del-tamano-de-una-muestra\"><\/span>\u5176\u4ed6\u6837\u672c\u91cf\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6839\u636e\u8981\u4f30\u8ba1\u7684\u53c2\u6570\uff0c\u6240\u9700\u6837\u672c\u91cf\u7684\u516c\u5f0f\u7565\u6709\u4e0d\u540c\u3002\u56e0\u6b64\uff0c\u5728\u672c\u8282\u4e2d\uff0c\u6211\u4eec\u5c06\u770b\u5230\u5728\u67d0\u4e9b\u7279\u6b8a\u60c5\u51b5\u4e0b\u53ef\u7528\u4e8e\u8ba1\u7b97\u6837\u672c\u91cf\u7684\u5176\u4ed6\u516c\u5f0f\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tamano-de-la-muestra-de-una-proporcion\"><\/span>\u6bd4\u4f8b\u7684\u6837\u672c\u91cf<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u4f30\u8ba1\u6bd4\u4f8b (p) \u6240\u9700\u6837\u672c\u91cf\u7684\u8ba1\u7b97\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-b9c850fbd64ce3f5024b580699beeea6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n=\\cfrac{N\\cdot Z_{\\alpha\/2}^2\\cdot p\\cdot (1-p)}{e^2\\cdot (N-1)+Z_{\\alpha\/2}^2\\cdot p\\cdot (1-p)}\" title=\"Rendered by QuickLaTeX.com\" height=\"55\" width=\"271\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tamano-de-la-muestra-de-una-probabilidad\"><\/span>\u6982\u7387\u7684\u6837\u672c\u91cf<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5f53\u60a8\u60f3\u8981\u4f30\u8ba1\u6982\u7387\u65f6\uff0c\u5efa\u8bae\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u786e\u5b9a\u5fc5\u8981\u7684\u6837\u672c\u91cf\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-7326a4beac1d233ca698f7dad2a2bc2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle n=\\left(\\frac{Z_{\\alpha\/2}}{2\\cdot e}\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"107\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tamano-de-la-muestra-para-la-comparacion-de-dos-medias-independientes\"><\/span>\u7528\u4e8e\u6bd4\u8f83\u4e24\u4e2a\u72ec\u7acb\u5e73\u5747\u503c\u7684\u6837\u672c\u91cf<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5728\u7ed9\u5b9a \u03b1 \u98ce\u9669\u548c \u03b2 \u98ce\u9669\u7684\u60c5\u51b5\u4e0b\u6bd4\u8f83\u4e24\u4e2a\u72ec\u7acb\u5747\u503c\u65f6\u8ba1\u7b97\u6837\u672c\u91cf\u7684\u516c\u5f0f\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-d4be37582bdec1aa6b75b35e4d937114_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n=\\cfrac{2\\cdot \\sigma^2 \\cdot \\left(Z_{\\alpha\/2}+Z_\\beta\\right)}{\\Delta^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"184\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u91d1\u5b50<\/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-b7305a6cb6d013542b2aa8af4e001985_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u5907\u62e9\u5047\u8bbe\u7684\u4e24\u79cd\u5747\u503c\u4e4b\u95f4\u7684\u5dee\u5f02\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tamano-de-la-muestra-para-la-comparacion-de-dos-medias-apareadas\"><\/span>\u7528\u4e8e\u6bd4\u8f83\u4e24\u4e2a\u914d\u5bf9\u5747\u503c\u7684\u6837\u672c\u91cf<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5982\u679c\u8981\u6bd4\u8f83\u5177\u6709\u56fa\u5b9a\u8bef\u5dee \u03b1 \u548c\u8bef\u5dee \u03b2 \u7684\u4e24\u4e2a\u914d\u5bf9\u5747\u503c\uff0c\u5219\u7528\u4e8e\u67e5\u627e\u6837\u672c\u4e2d\u89c2\u6d4b\u503c\u6570\u91cf\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-113aea01351fbe5454666ea2e00f7ec0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n=\\cfrac{2\\cdot \\sigma_d^2 \\cdot \\left(Z_{\\alpha\/2}+Z_\\beta\\right)}{\\Delta^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"184\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u91d1\u5b50<\/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-b7305a6cb6d013542b2aa8af4e001985_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u5907\u62e9\u5047\u8bbe\u7684\u4e24\u4e2a\u914d\u5bf9\u5747\u503c\u4e4b\u95f4\u7684\u5dee\u5f02\uff0c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d352962e030563a6172d0afe4491b991_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_d^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"18\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u5b83\u662f\u540c\u4e00\u4e2a\u4f53\u7684\u4e24\u6b21\u6d4b\u91cf\u4e4b\u95f4\u7684\u5dee\u5f02\u7684\u65b9\u5dee\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u6837\u672c\u91cf\u4ee5\u53ca\u5b83\u5728\u7edf\u8ba1\u5b66\u4e2d\u7684\u91cd\u8981\u6027\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u5c06\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u9002\u5f53\u7684\u6837\u672c\u91cf\u548c\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff0c\u4ee5\u4fbf\u60a8\u4e86\u89e3 [&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-245","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\/ -->\n<title>\u25b7 \u8ba1\u7b97\u6837\u672c\u91cf\uff08\u516c\u5f0f\u548c\u793a\u4f8b\uff09<\/title>\n<meta name=\"description\" content=\"\u5728\u8fd9\u91cc\u60a8\u5c06\u627e\u5230\u6837\u672c\u91cf\u662f\u4ec0\u4e48\u3001\u5b83\u5728\u7edf\u8ba1\u4e2d\u7684\u91cd\u8981\u6027\u3001\u5b83\u662f\u5982\u4f55\u8ba1\u7b97\u7684\uff08\u516c\u5f0f\uff09\u4ee5\u53ca\u4e00\u4e2a\u5177\u4f53\u793a\u4f8b\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/cn\/\u6837\u672c\u91cf\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 \u8ba1\u7b97\u6837\u672c\u91cf\uff08\u516c\u5f0f\u548c\u793a\u4f8b\uff09\" \/>\n<meta property=\"og:description\" content=\"\u5728\u8fd9\u91cc\u60a8\u5c06\u627e\u5230\u6837\u672c\u91cf\u662f\u4ec0\u4e48\u3001\u5b83\u5728\u7edf\u8ba1\u4e2d\u7684\u91cd\u8981\u6027\u3001\u5b83\u662f\u5982\u4f55\u8ba1\u7b97\u7684\uff08\u516c\u5f0f\uff09\u4ee5\u53ca\u4e00\u4e2a\u5177\u4f53\u793a\u4f8b\u3002\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/cn\/\u6837\u672c\u91cf\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-03T17:04:50+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ddd725a5b2cefc85de7e4ca67694863a_l3.png\" \/>\n<meta name=\"author\" content=\"\u672c\u6770\u660e\u00b7\u5b89\u5fb7\u68ee\u535a\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u672c\u6770\u660e\u00b7\u5b89\u5fb7\u68ee\u535a\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/cn\/%e6%a0%b7%e6%9c%ac%e9%87%8f\/\",\"url\":\"https:\/\/statorials.org\/cn\/%e6%a0%b7%e6%9c%ac%e9%87%8f\/\",\"name\":\"\u25b7 \u8ba1\u7b97\u6837\u672c\u91cf\uff08\u516c\u5f0f\u548c\u793a\u4f8b\uff09\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/cn\/#website\"},\"datePublished\":\"2023-08-03T17:04:50+00:00\",\"dateModified\":\"2023-08-03T17:04:50+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/cn\/#\/schema\/person\/124e4e5b7c9f8dc0f1f95cc8c1db3261\"},\"description\":\"\u5728\u8fd9\u91cc\u60a8\u5c06\u627e\u5230\u6837\u672c\u91cf\u662f\u4ec0\u4e48\u3001\u5b83\u5728\u7edf\u8ba1\u4e2d\u7684\u91cd\u8981\u6027\u3001\u5b83\u662f\u5982\u4f55\u8ba1\u7b97\u7684\uff08\u516c\u5f0f\uff09\u4ee5\u53ca\u4e00\u4e2a\u5177\u4f53\u793a\u4f8b\u3002\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/cn\/%e6%a0%b7%e6%9c%ac%e9%87%8f\/#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/cn\/%e6%a0%b7%e6%9c%ac%e9%87%8f\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/cn\/%e6%a0%b7%e6%9c%ac%e9%87%8f\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u5bb6\",\"item\":\"https:\/\/statorials.org\/cn\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u6837\u672c\u91cf\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/cn\/#website\",\"url\":\"https:\/\/statorials.org\/cn\/\",\"name\":\"Statorials\",\"description\":\"\u60a8\u7684\u7edf\u8ba1\u7d20\u517b\u6307\u5357\uff01\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/cn\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/cn\/#\/schema\/person\/124e4e5b7c9f8dc0f1f95cc8c1db3261\",\"name\":\"\u672c\u6770\u660e\u00b7\u5b89\u5fb7\u68ee\u535a\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/statorials.org\/cn\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/cn\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/cn\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"\u672c\u6770\u660e\u00b7\u5b89\u5fb7\u68ee\u535a\"},\"description\":\"\u5927\u5bb6\u597d\uff0c\u6211\u662f\u672c\u6770\u660e\uff0c\u4e00\u4f4d\u9000\u4f11\u7684\u7edf\u8ba1\u5b66\u6559\u6388\uff0c\u540e\u6765\u6210\u4e3a Statorials \u7684\u70ed\u5fc3\u6559\u5e08\u3002 \u51ed\u501f\u5728\u7edf\u8ba1\u9886\u57df\u7684\u4e30\u5bcc\u7ecf\u9a8c\u548c\u4e13\u4e1a\u77e5\u8bc6\uff0c\u6211\u6e34\u671b\u5206\u4eab\u6211\u7684\u77e5\u8bc6\uff0c\u901a\u8fc7 Statorials \u589e\u5f3a\u5b66\u751f\u7684\u80fd\u529b\u3002\u4e86\u89e3\u66f4\u591a\",\"sameAs\":[\"https:\/\/statorials.org\/cn\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u25b7 \u8ba1\u7b97\u6837\u672c\u91cf\uff08\u516c\u5f0f\u548c\u793a\u4f8b\uff09","description":"\u5728\u8fd9\u91cc\u60a8\u5c06\u627e\u5230\u6837\u672c\u91cf\u662f\u4ec0\u4e48\u3001\u5b83\u5728\u7edf\u8ba1\u4e2d\u7684\u91cd\u8981\u6027\u3001\u5b83\u662f\u5982\u4f55\u8ba1\u7b97\u7684\uff08\u516c\u5f0f\uff09\u4ee5\u53ca\u4e00\u4e2a\u5177\u4f53\u793a\u4f8b\u3002","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/cn\/\u6837\u672c\u91cf\/","og_locale":"zh_CN","og_type":"article","og_title":"\u25b7 \u8ba1\u7b97\u6837\u672c\u91cf\uff08\u516c\u5f0f\u548c\u793a\u4f8b\uff09","og_description":"\u5728\u8fd9\u91cc\u60a8\u5c06\u627e\u5230\u6837\u672c\u91cf\u662f\u4ec0\u4e48\u3001\u5b83\u5728\u7edf\u8ba1\u4e2d\u7684\u91cd\u8981\u6027\u3001\u5b83\u662f\u5982\u4f55\u8ba1\u7b97\u7684\uff08\u516c\u5f0f\uff09\u4ee5\u53ca\u4e00\u4e2a\u5177\u4f53\u793a\u4f8b\u3002","og_url":"https:\/\/statorials.org\/cn\/\u6837\u672c\u91cf\/","og_site_name":"Statorials","article_published_time":"2023-08-03T17:04:50+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ddd725a5b2cefc85de7e4ca67694863a_l3.png"}],"author":"\u672c\u6770\u660e\u00b7\u5b89\u5fb7\u68ee\u535a","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005":"\u672c\u6770\u660e\u00b7\u5b89\u5fb7\u68ee\u535a"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/cn\/%e6%a0%b7%e6%9c%ac%e9%87%8f\/","url":"https:\/\/statorials.org\/cn\/%e6%a0%b7%e6%9c%ac%e9%87%8f\/","name":"\u25b7 \u8ba1\u7b97\u6837\u672c\u91cf\uff08\u516c\u5f0f\u548c\u793a\u4f8b\uff09","isPartOf":{"@id":"https:\/\/statorials.org\/cn\/#website"},"datePublished":"2023-08-03T17:04:50+00:00","dateModified":"2023-08-03T17:04:50+00:00","author":{"@id":"https:\/\/statorials.org\/cn\/#\/schema\/person\/124e4e5b7c9f8dc0f1f95cc8c1db3261"},"description":"\u5728\u8fd9\u91cc\u60a8\u5c06\u627e\u5230\u6837\u672c\u91cf\u662f\u4ec0\u4e48\u3001\u5b83\u5728\u7edf\u8ba1\u4e2d\u7684\u91cd\u8981\u6027\u3001\u5b83\u662f\u5982\u4f55\u8ba1\u7b97\u7684\uff08\u516c\u5f0f\uff09\u4ee5\u53ca\u4e00\u4e2a\u5177\u4f53\u793a\u4f8b\u3002","breadcrumb":{"@id":"https:\/\/statorials.org\/cn\/%e6%a0%b7%e6%9c%ac%e9%87%8f\/#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/cn\/%e6%a0%b7%e6%9c%ac%e9%87%8f\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/cn\/%e6%a0%b7%e6%9c%ac%e9%87%8f\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u5bb6","item":"https:\/\/statorials.org\/cn\/"},{"@type":"ListItem","position":2,"name":"\u6837\u672c\u91cf"}]},{"@type":"WebSite","@id":"https:\/\/statorials.org\/cn\/#website","url":"https:\/\/statorials.org\/cn\/","name":"Statorials","description":"\u60a8\u7684\u7edf\u8ba1\u7d20\u517b\u6307\u5357\uff01","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/statorials.org\/cn\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"zh-Hans"},{"@type":"Person","@id":"https:\/\/statorials.org\/cn\/#\/schema\/person\/124e4e5b7c9f8dc0f1f95cc8c1db3261","name":"\u672c\u6770\u660e\u00b7\u5b89\u5fb7\u68ee\u535a","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/statorials.org\/cn\/#\/schema\/person\/image\/","url":"https:\/\/statorials.org\/cn\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","contentUrl":"https:\/\/statorials.org\/cn\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","caption":"\u672c\u6770\u660e\u00b7\u5b89\u5fb7\u68ee\u535a"},"description":"\u5927\u5bb6\u597d\uff0c\u6211\u662f\u672c\u6770\u660e\uff0c\u4e00\u4f4d\u9000\u4f11\u7684\u7edf\u8ba1\u5b66\u6559\u6388\uff0c\u540e\u6765\u6210\u4e3a Statorials \u7684\u70ed\u5fc3\u6559\u5e08\u3002 \u51ed\u501f\u5728\u7edf\u8ba1\u9886\u57df\u7684\u4e30\u5bcc\u7ecf\u9a8c\u548c\u4e13\u4e1a\u77e5\u8bc6\uff0c\u6211\u6e34\u671b\u5206\u4eab\u6211\u7684\u77e5\u8bc6\uff0c\u901a\u8fc7 Statorials \u589e\u5f3a\u5b66\u751f\u7684\u80fd\u529b\u3002\u4e86\u89e3\u66f4\u591a","sameAs":["https:\/\/statorials.org\/cn"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/cn\/wp-json\/wp\/v2\/posts\/245","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/cn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/cn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/cn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/cn\/wp-json\/wp\/v2\/comments?post=245"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/cn\/wp-json\/wp\/v2\/posts\/245\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/cn\/wp-json\/wp\/v2\/media?parent=245"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/cn\/wp-json\/wp\/v2\/categories?post=245"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/cn\/wp-json\/wp\/v2\/tags?post=245"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}