{"id":51,"date":"2023-08-06T02:06:13","date_gmt":"2023-08-06T02:06:13","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e7%ae%80%e5%8d%95%e9%9a%8f%e6%9c%ba%e6%8a%bd%e6%a0%b7\/"},"modified":"2023-08-06T02:06:13","modified_gmt":"2023-08-06T02:06:13","slug":"%e7%ae%80%e5%8d%95%e9%9a%8f%e6%9c%ba%e6%8a%bd%e6%a0%b7","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e7%ae%80%e5%8d%95%e9%9a%8f%e6%9c%ba%e6%8a%bd%e6%a0%b7\/","title":{"rendered":"\u7b80\u5355\u968f\u673a\u62bd\u6837"},"content":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u60a8\u5c06\u4e86\u89e3\u4ec0\u4e48\u662f\u7b80\u5355\u968f\u673a\u6837\u672c\u4ee5\u53ca\u7b80\u5355\u968f\u673a\u6837\u672c\u6709\u54ea\u4e9b\u7c7b\u578b\u3002\u6b64\u5916\uff0c\u6211\u4eec\u8fd8\u901a\u8fc7\u793a\u4f8b\u89e3\u91ca\u4e86\u5982\u4f55\u8fdb\u884c\u7b80\u5355\u968f\u673a\u62bd\u6837\u3002\u6700\u540e\uff0c\u60a8\u5c06\u80fd\u591f\u4e86\u89e3\u7b80\u5355\u968f\u673a\u62bd\u6837\u7684\u4f18\u70b9\u548c\u7f3a\u70b9\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-muestreo-aleatorio-simple\"><\/span>\u4ec0\u4e48\u662f\u7b80\u5355\u968f\u673a\u62bd\u6837\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c<strong>\u7b80\u5355\u968f\u673a\u62bd\u6837<\/strong>\u662f\u4e00\u79cd\u7528\u4e8e\u9009\u62e9\u7814\u7a76\u6837\u672c\u7684\u6982\u7387\u65b9\u6cd5\u3002\u7b80\u5355\u968f\u673a\u62bd\u6837\u7684\u4e3b\u8981\u7279\u70b9\u662f\u5b83\u4e3a\u7edf\u8ba1\u603b\u4f53\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20\u63d0\u4f9b\u4e86\u5305\u542b\u5728\u7814\u7a76\u6837\u672c\u4e2d\u7684\u76f8\u540c\u6982\u7387\u3002<\/p>\n<p>\u5728\u7b80\u5355\u968f\u673a\u62bd\u6837\u4e2d\uff0c\u6837\u672c\u5143\u7d20\u662f\u968f\u673a\u9009\u62e9\u7684\uff0c\u56e0\u6b64\u5f97\u5230\u7684\u6837\u672c\u662f\u5b8c\u5168\u968f\u673a\u7684\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u4f7f\u7528\u7b80\u5355\u968f\u673a\u62bd\u6837\uff0c\u83b7\u5f97\u7ed9\u5b9a\u6837\u672c\u7684\u6982\u7387\u7b49\u4e8e\u83b7\u5f97\u4efb\u4f55\u5176\u4ed6\u6837\u672c\u7684\u6982\u7387\u3002\u6211\u4eec\u5c06\u5728\u4e0b\u9762\u770b\u5230\u8fd9\u4e2a\u6982\u7387\u662f\u5982\u4f55\u8ba1\u7b97\u7684\u3002<\/p>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u8fd8\u6709\u5176\u4ed6\u65b9\u6cd5\u53ef\u4ee5\u4ece\u6837\u672c\u4e2d\u9009\u62e9\u4e2a\u4f53\u3002\u6700\u5e38\u7528\u7684\u62bd\u6837\u7c7b\u578b\u4e3b\u8981\u6709\uff1a<\/p>\n<ul>\n<li>\u7b80\u5355\u968f\u673a\u62bd\u6837<\/li>\n<li>\u5206\u5c42\u62bd\u6837<\/li>\n<li>\u7cfb\u7edf\u62bd\u6837<\/li>\n<li>\u6574\u7fa4\u62bd\u6837<\/li>\n<\/ul>\n<p>\u7b80\u5355\u968f\u673a\u62bd\u6837\u7684\u6982\u5ff5\u5f53\u7136\u662f\u6700\u5bb9\u6613\u7406\u89e3\u7684\u7c7b\u578b\uff0c\u4f46\u6709\u65f6\u6070\u6070\u7531\u4e8e\u5176\u968f\u673a\u6027\uff0c\u5b83\u7684\u5b9e\u73b0\u8d77\u6765\u662f\u6700\u590d\u6742\u7684\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-hacer-un-muestreo-aleatorio-simple\"><\/span>\u5982\u4f55\u8fdb\u884c\u7b80\u5355\u968f\u673a\u62bd\u6837<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8fdb\u884c\u7b80\u5355\u968f\u673a\u62bd\u6837\u7684\u6b65\u9aa4\u5982\u4e0b\uff1a<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u5217\u51fa\u4eba\u53e3\u7684\u6240\u6709\u8981\u7d20\u3002<\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u4e3a\u603b\u4f53\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20<strong>\u5206\u914d\u4e00\u4e2a\u5e8f\u53f7<\/strong>(1, 2, 3,\u2026, n)\u3002<\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u8bbe\u7f6e\u6240\u9700\u7684<strong>\u6837\u672c\u5927\u5c0f<\/strong>\u3002<\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u4f7f\u7528<strong>\u968f\u673a\u6570\u751f\u6210\u5668<\/strong>\u751f\u6210\u4e0e\u6240\u9009\u6837\u672c\u5927\u5c0f\u4e00\u6837\u591a\u7684\u6570\u5b57\u3002<\/span><\/li>\n<li><span style=\"color:#101010;font-weight: normal;\"><strong>\u5206\u914d\u7ed9\u751f\u6210\u7f16\u53f7\u7684\u4e2a\u4f53<\/strong>\u662f\u88ab\u9009\u4e3a\u6837\u672c\u4e00\u90e8\u5206\u7684\u4e2a\u4f53\u3002<\/span><\/li>\n<\/ol>\n<p>\u751f\u6210\u968f\u673a\u6570\u6709\u591a\u79cd\u65b9\u6cd5\uff0c\u6700\u4f20\u7edf\u7684\u662f\u62bd\u7b7e\u6cd5\u548c\u6570\u8868\u6cd5\uff1a<\/p>\n<ul>\n<li><strong>\u62bd\u5956\u65b9\u6cd5<\/strong>\u662f\u5c06\u6240\u6709\u53f7\u7801\u653e\u5165\u4e00\u4e2a\u76d2\u5b50\u4e2d\uff0c\u5c06\u5b83\u4eec\u6d17\u724c\uff0c\u7136\u540e\u968f\u673a\u62bd\u53d6\u53f7\u7801\u3002<\/li>\n<li><strong>\u6570\u8868\u6cd5<\/strong>\u6d89\u53ca\u4ece\u5305\u542b\u6240\u6709\u53ef\u80fd\u6570\u5b57\u7684\u8868\u4e2d\u968f\u673a\u9009\u62e9\u6570\u5b57\u3002<\/li>\n<\/ul>\n<p>\u5c3d\u7ba1\u60a8\u4e5f\u53ef\u4ee5\u4f7f\u7528\u524d\u4e24\u79cd\u65b9\u6cd5\u4e2d\u7684\u4efb\u4f55\u4e00\u79cd\uff0c\u4f46\u8fd9\u4e9b\u65b9\u6cd5\u9700\u8981\u66f4\u591a\u65f6\u95f4\u5e76\u4e14\u66f4\u9002\u5408\u8f83\u5c0f\u7684\u6837\u672c\u91cf\u3002\u76ee\u524d\uff0c<strong>\u8ba1\u7b97\u673a\u7a0b\u5e8f<\/strong>\u7528\u4e8e\u66f4\u5feb\u5730\u751f\u6210\u968f\u673a\u6570\uff0c\u4f8b\u5982\u60a8\u53ef\u4ee5\u4f7f\u7528Excel\u7a0b\u5e8f\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u60a8\u5fc5\u987b\u8003\u8651\u5230\u6837\u672c\u91cf\u5fc5\u987b\u8db3\u591f\uff0c\u4ee5\u4fbf\u5c3d\u53ef\u80fd\u51cf\u5c11\u62bd\u6837\u8bef\u5dee\u3002\u627e\u5230\u7406\u60f3\u7684\u6837\u672c\u91cf\u5e76\u975e\u6613\u4e8b\u3002\u5982\u679c\u60a8\u5bf9\u6b64\u6709\u4efb\u4f55\u7591\u95ee\uff0c\u53ef\u4ee5\u5728\u6211\u4eec\u7684\u7f51\u7ad9\u4e0a\u641c\u7d22\u6211\u4eec\u89e3\u91ca\u5982\u4f55\u6267\u884c\u6b64\u64cd\u4f5c\u7684\u6587\u7ae0\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-muestreo-aleatorio-simple\"><\/span>\u7b80\u5355\u968f\u673a\u62bd\u6837\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e00\u65e6\u6211\u4eec\u4e86\u89e3\u4e86\u7b80\u5355\u968f\u673a\u62bd\u6837\u7684\u5b9a\u4e49\uff0c\u6211\u4eec\u5c31\u4f1a\u770b\u5230\u5982\u4f55\u6267\u884c\u6b64\u7c7b\u62bd\u6837\u7684\u5df2\u89e3\u51b3\u793a\u4f8b\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u4e00\u5bb6\u516c\u53f8\u6709 2000 \u540d\u5458\u5de5\uff0c\u6211\u4eec\u60f3\u8981\u5bf9 400 \u540d\u5458\u5de5\u8fdb\u884c\u6837\u672c\u7edf\u8ba1\u7814\u7a76\uff0c\u901a\u8fc7\u7b80\u5355\u968f\u673a\u62bd\u6837\u6765\u9009\u62e9\u6837\u672c\u4e2d\u7684\u4e2a\u4f53\uff0c\u9996\u5148\u8981\u505a\u7684\u4e8b\u60c5\u5305\u62ec\u4e3a\u6bcf\u4e2a\u5458\u5de5\u5206\u914d\u4e00\u4e2a\u4ece 1 \u5230 2000 \u7684\u6570\u5b57\u3002<\/p>\n<p>\u53f7\u7801\u5206\u914d\u5b8c\u6bd5\u540e\uff0c\u6211\u4eec\u9700\u8981\u968f\u673a\u9009\u62e9400\u4e2a\u53f7\u7801\u3002\u8fd9\u79cd\u60c5\u51b5\u4e0b\u6837\u672c\u91cf\u76f8\u5f53\u5927\uff0c\u6240\u4ee5\u6700\u597d\u4f7f\u7528Excel\u7b49\u8ba1\u7b97\u673a\u8f6f\u4ef6\u3002<\/p>\n<p>\u7136\u540e\uff0c\u88ab\u9009\u4e2d\u53c2\u52a0\u7814\u7a76\u7684 400 \u540d\u5de5\u4eba\u5c06\u662f\u4e0a\u4e00\u6b65\u4e2d\u786e\u5b9a\u7684\u5206\u914d\u4eba\u6570\u3002<\/p>\n<p>\u5728\u6b64\u793a\u4f8b\u4e2d\uff0c400 \u4e2a\u9879\u76ee\u88ab\u8ba4\u4e3a\u662f\u5177\u6709\u8db3\u591f\u4ee3\u8868\u6027\u7684\u6837\u672c\u91cf\uff0c\u4f46\u4ece\u903b\u8f91\u4e0a\u8bb2\uff0c\u8fd9\u4e2a\u6570\u5b57\u4f1a\u6839\u636e\u5b9e\u9a8c\u800c\u53d8\u5316\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-muestreos-aleatorios-simples\"><\/span>\u7b80\u5355\u968f\u673a\u62bd\u6837\u7684\u7c7b\u578b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7b80\u5355\u968f\u673a\u62bd\u6837\u6709\u4e24\u79cd\u7c7b\u578b\uff1a<\/p>\n<ul>\n<li><strong>\u5e26\u653e\u56de\u7684\u7b80\u5355\u968f\u673a\u62bd\u6837<\/strong>\uff1a\u8fd4\u56de\u62bd\u6837\u6846\u4e2d\u9009\u5b9a\u7684\u5143\u7d20\u5e76\u53ef\u4ee5\u518d\u6b21\u9009\u62e9\u3002<\/li>\n<li><strong>\u65e0\u653e\u56de\u7684\u7b80\u5355\u968f\u673a\u62bd\u6837<\/strong>\uff1a\u88ab\u9009\u4e3a\u6837\u672c\u4e00\u90e8\u5206\u7684\u9879\u76ee\u5c06\u88ab\u5220\u9664\uff0c\u5e76\u4e14\u4e0d\u80fd\u518d\u88ab\u9009\u62e9\u3002<\/li>\n<\/ul>\n<p>\u5e26\u653e\u56de\u7684\u7b80\u5355\u968f\u673a\u62bd\u6837\u662f\u6700\u7b80\u5355\u7684\u62bd\u6837\u7c7b\u578b\uff0c\u56e0\u4e3a\u603b\u662f\u91cd\u590d\u5b8c\u5168\u76f8\u540c\u7684\u8fc7\u7a0b\u6765\u4ece\u6837\u672c\u4e2d\u9009\u62e9\u9879\u76ee\u3002\u7136\u800c\uff0c\u65e0\u653e\u56de\u7684\u7b80\u5355\u968f\u673a\u62bd\u6837\u7531\u4e8e\u66f4\u7cbe\u786e\u800c\u88ab\u66f4\u5e7f\u6cdb\u5730\u4f7f\u7528\u3002\u4e0b\u9762\u5c06\u66f4\u8be6\u7ec6\u5730\u89e3\u91ca\u8fd9\u4e24\u79cd\u7c7b\u578b\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"muestreo-aleatorio-simple-con-reemplazo\"><\/span>\u5e26\u653e\u56de\u7684\u7b80\u5355\u968f\u673a\u62bd\u6837<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u5e26\u653e\u56de\u7684\u7b80\u5355\u968f\u673a\u62bd\u6837<\/strong>\u6d89\u53ca\u5c06\u6bcf\u4e2a\u9009\u5b9a\u9879\u76ee\u8fd4\u56de\u5230\u62bd\u6837\u6846\uff0c\u4ee5\u4fbf\u5b58\u5728\u518d\u6b21\u9009\u62e9\u5b83\u7684\u53ef\u80fd\u6027\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u6709\u53ef\u80fd\u83b7\u5f97\u5355\u4e2a\u9879\u76ee\u88ab\u591a\u6b21\u9009\u62e9\u7684\u6837\u672c\uff0c\u5c3d\u7ba1\u8fd9\u663e\u7136\u4e0d\u592a\u53ef\u80fd\u3002<\/p>\n<p>\u4ece\u6570\u5b66\u4e0a\u8bb2\uff0c\u8fd9\u662f\u4e00\u79cd\u975e\u5e38\u7b80\u5355\u7684\u91c7\u6837\u7c7b\u578b\uff0c\u56e0\u4e3a\u6bcf\u6b21\u63d0\u53d6\u7684\u6982\u7387\u662f\u76f8\u540c\u7684\u3002\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u901a\u5e38\u5148\u4e8e\u5176\u4ed6\u4eba\u5f00\u59cb\u7814\u7a76\u8fd9\u79cd\u91c7\u6837\u6280\u672f\u7684\u539f\u56e0\u3002<\/p>\n<p>\u5728\u653e\u56de\u7684\u7b80\u5355\u968f\u673a\u62bd\u6837\u4e2d\uff0c\u83b7\u5f97\u4e00\u5b9a\u987a\u5e8f\u6837\u672c\u7684\u6982\u7387\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\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-3502079944fe0144cc3302d5d88de3e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P=\\cfrac{1}{N^n}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"65\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u662f<\/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-7354bae77b50b7d1faed3e8ea7a3511a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"N\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4eba\u53e3\u603b\u6570\u548c<\/p>\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>\u5c06\u6267\u884c\u7684\u72ec\u7acb\u63d0\u53d6\u7684\u6570\u91cf\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u5f53\u987a\u5e8f\u65e0\u5173\u7d27\u8981\u65f6\uff0c\u83b7\u5f97\u6837\u672c\u7684\u6982\u7387\u4f7f\u7528\u4ee5\u4e0b\u8868\u8fbe\u5f0f\u8ba1\u7b97\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-b5a16a91fe6bd3dd820fde43a817269f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P=\\cfrac{n!}{\\displaystyle N^n\\prod_{i=1}^z k_i!}\" title=\"Rendered by QuickLaTeX.com\" height=\"76\" width=\"113\" style=\"vertical-align: -49px;\"><\/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-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\u72ec\u7acb\u63d0\u53d6\u7684\u6570\u91cf\uff0c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec5583fa081a1e03212c151e3c222412_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u6837\u672c\u4e2d\u4e0d\u540c\u5143\u7d20\u7684\u6570\u91cf\u548c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-20c11371ea52cfd65b99be3ae8ef9642_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"14\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u60a8\u5e0c\u671b\u8be5\u9879\u76ee\u51fa\u73b0\u591a\u5c11\u6b21<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-31318c5dcb226c69e0818e5f7d2422b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5728\u6837\u672c\u4e2d\u3002<\/p>\n<p>\u6700\u540e\u6c42\u8be5\u5143\u7d20\u5305\u542b\u7684\u6982\u7387<\/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-31318c5dcb226c69e0818e5f7d2422b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p>\uff0c\u4e5f\u5c31\u662f\u8bf4\u5305\u542b\u8be5\u5143\u7d20\u7684\u6982\u7387<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-31318c5dcb226c69e0818e5f7d2422b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5728\u793a\u4f8b\u4e2d\uff0c\u5e94\u4f7f\u7528\u4ee5\u4e0b\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-916236f378c0e46c4adccf6e2d99a1a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\pi_i=1-\\left(1-\\frac{1}{N}\\right)^n\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"154\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"muestreo-aleatorio-simple-sin-reemplazo\"><\/span>\u7b80\u5355\u968f\u673a\u62bd\u6837\uff0c\u65e0\u9700\u653e\u56de<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u65e0\u653e\u56de\u7684\u7b80\u5355\u968f\u673a\u62bd\u6837<\/strong>\u6d89\u53ca\u4ece\u6837\u672c\u4e2d\u9009\u62e9\u4e0e\u6240\u9700\u6837\u672c\u5927\u5c0f\u76f8\u540c\u7684\u4e2a\u4f53\uff0c\u4ee5\u4fbf\u6bcf\u4e2a\u4e2a\u4f53\u4e00\u65e6\u88ab\u9009\u62e9\u5c31\u4e0d\u80fd\u88ab\u518d\u6b21\u9009\u62e9\u3002\u56e0\u6b64\uff0c\u6bcf\u4e2a\u9009\u5b9a\u7684\u9879\u76ee\u90fd\u4f1a\u88ab\u5220\u9664\u800c\u4e0d\u662f\u88ab\u66ff\u6362\u3002<\/p>\n<p>\u5f53\u6211\u4eec\u8c08\u8bba\u7b80\u5355\u968f\u673a\u62bd\u6837\u65f6\uff0c\u6211\u4eec\u901a\u5e38\u6307\u7684\u662f\u4e0d\u66ff\u6362\u4e2a\u4f53\u7684\u62bd\u6837\uff0c\u56e0\u4e3a\u5b83\u662f\u5b9e\u8df5\u4e2d\u6700\u5e38\u7528\u7684\u62bd\u6837\u3002<\/p>\n<p>\u4e3a\u4e86\u786e\u5b9a\u5728\u653e\u56de\u7684\u7b80\u5355\u968f\u673a\u62bd\u6837\u4e2d\u83b7\u5f97\u4e00\u5b9a\u987a\u5e8f\u6837\u672c\u7684\u6982\u7387\uff0c\u4f7f\u7528\u4ee5\u4e0b\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-ad2f2f524739b5a0a3e9c6b2ea6a61e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P=\\cfrac{1}{n!\\begin{pmatrix}N\\\\n\\end{pmatrix}}\" title=\"Rendered by QuickLaTeX.com\" height=\"68\" width=\"100\" style=\"vertical-align: -42px;\"><\/p>\n<\/p>\n<p>\u662f<\/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-7354bae77b50b7d1faed3e8ea7a3511a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"N\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u603b\u4f53\u4e2d\u7684\u5143\u7d20\u603b\u6570\u548c<\/p>\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>\u8981\u6267\u884c\u7684\u76f8\u5173\u63d0\u53d6\u7684\u6570\u91cf\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u5982\u679c\u4e0d\u8003\u8651\u63d0\u53d6\u987a\u5e8f\uff0c\u5219\u83b7\u5f97\u6837\u672c\u7684\u6982\u7387\u7b49\u4e8e\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-0afec029292e1e70cab9f60edb270b16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P=\\cfrac{1}{\\begin{pmatrix}N\\\\n\\end{pmatrix}}\" title=\"Rendered by QuickLaTeX.com\" height=\"68\" width=\"82\" style=\"vertical-align: -42px;\"><\/p>\n<\/p>\n<p>\u6700\u540e\uff0c\u901a\u8fc7\u5e94\u7528\u62c9\u666e\u62c9\u65af\u89c4\u5219\u8ba1\u7b97\u5728\u7b80\u5355\u968f\u673a\u62bd\u6837\u4e2d\u4e0d\u653e\u56de\u5730\u5305\u542b\u5143\u7d20\u7684\u6982\u7387\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-89645f7ae4dfd1b92e9a70d00cad9f7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\pi_i=\\frac{n}{N}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"58\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ventajas-y-desventajas-del-muestreo-aleatorio-simple\"><\/span>\u7b80\u5355\u968f\u673a\u62bd\u6837\u7684\u4f18\u70b9\u548c\u7f3a\u70b9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7b80\u5355\u968f\u673a\u62bd\u6837\u6709\u4ee5\u4e0b\u4f18\u70b9\u548c\u7f3a\u70b9\uff1a <\/p>\n<figure class=\"wp-block-table is-style-stripes\">\n<table class=\"has-fixed-layout\">\n<thead>\n<tr>\n<th class=\"has-text-align-left\" data-align=\"left\">\u4f18\u52bf<\/th>\n<th>\u7f3a\u70b9<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"has-text-align-left\" data-align=\"left\">\u5bb9\u6613\u660e\u767d\u3002<\/td>\n<td>\u4eba\u53e3\u6240\u6709\u8981\u7d20\u7684\u6e05\u5355\u662f\u5fc5\u8981\u7684\u3002<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-left\" data-align=\"left\">\u6240\u6709\u53ef\u80fd\u7684\u6837\u672c\u90fd\u662f\u7b49\u6982\u7387\u7684\u3002<\/td>\n<td>\u5bf9\u4e8e\u5927\u6837\u672c\u91cf\u6765\u8bf4\uff0c\u8fd9\u53ef\u80fd\u975e\u5e38\u6602\u8d35\u3002<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-left\" data-align=\"left\">\u901a\u5e38\u4f1a\u83b7\u5f97\u4ee3\u8868\u6027\u6837\u54c1\u3002<\/td>\n<td>\u5b83\u5f80\u5f80\u6709\u8f83\u5927\u7684\u62bd\u6837\u8bef\u5dee\u3002<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-left\" data-align=\"left\">\u8fdb\u884c\u91c7\u6837\u4e0d\u9700\u8981\u4efb\u4f55\u6280\u672f\u77e5\u8bc6\u3002<\/td>\n<td>\u7814\u7a76\u4eba\u5458\u5728\u6240\u7814\u7a76\u9886\u57df\u53ef\u80fd\u62e5\u6709\u7684\u77e5\u8bc6\u6ca1\u6709\u88ab\u5229\u7528\u3002<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-left\" data-align=\"left\">\u5141\u8bb8\u60a8\u5feb\u901f\u8ba1\u7b97\u5e73\u5747\u503c\u548c\u504f\u5dee\u3002<\/td>\n<td>\u5982\u679c\u6837\u672c\u592a\u5c0f\uff0c\u53ef\u80fd\u4e0d\u5177\u6709\u4ee3\u8868\u6027\u3002<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-left\" data-align=\"left\">\u6709\u7edf\u8ba1\u8f6f\u4ef6\u53ef\u4ee5\u5206\u6790\u6570\u636e\u3002<\/td>\n<td>\u4e0d\u9002\u5408\u9700\u8981\u4e2a\u4eba\u8bbf\u8c08\u7684\u7814\u7a76\u3002<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<p>\u6b63\u5982\u6211\u4eec\u6240\u770b\u5230\u7684\uff0c\u7b80\u5355\u968f\u673a\u62bd\u6837\u7684\u4e3b\u8981\u7279\u5f81\u4e4b\u4e00\u662f\u5b83\u6613\u4e8e\u7406\u89e3\u548c\u89e3\u91ca\u3002\u4e8b\u5b9e\u4e0a\uff0c\u8fdb\u884c\u91c7\u6837\u7684\u4eba\u4e0d\u9700\u8981\u662f\u5206\u6790\u9886\u57df\u7684\u4e13\u5bb6\u3002\u7136\u800c\uff0c\u8fd9\u65e2\u662f\u4f18\u70b9\u4e5f\u662f\u7f3a\u70b9\uff0c\u56e0\u4e3a\u5728\u5176\u4ed6\u7c7b\u578b\u7684\u91c7\u6837\u4e2d\uff0c\u53ef\u4ee5\u5229\u7528\u5206\u6790\u5e08\u7684\u77e5\u8bc6\u6765\u5b9e\u73b0\u66f4\u597d\u7684\u91c7\u6837\u3002<\/p>\n<p>\u540c\u6837\uff0c\u7531\u4e8e\u62bd\u6837\u662f\u968f\u673a\u7684\uff0c\u56e0\u6b64\u4e0e\u5176\u4ed6\u7c7b\u578b\u7684\u62bd\u6837\u4e0d\u540c\uff0c\u91c7\u7528\u8fd9\u4e2a\u6216\u90a3\u4e2a\u5143\u7d20\u6784\u6210\u7814\u7a76\u6837\u672c\u7684\u6982\u7387\u662f\u7b49\u6982\u7387\u7684\u3002<\/p>\n<p>\u5c3d\u7ba1\u901a\u5e38\u4f1a\u83b7\u5f97\u603b\u4f53\u7684\u4ee3\u8868\u6027\u6837\u672c\uff0c\u4f46\u4e0e\u5176\u4ed6\u7c7b\u578b\u7684\u62bd\u6837\u76f8\u6bd4\uff0c\u7b80\u5355\u968f\u673a\u62bd\u6837\u7684\u62bd\u6837\u8bef\u5dee\u8f83\u5927\u3002\u6b64\u5916\uff0c\u5982\u679c\u4e2a\u4f53\u89c4\u6a21\u5f88\u5c0f\uff0c\u6837\u672c\u751a\u81f3\u53ef\u80fd\u4e0d\u5177\u6709\u4ee3\u8868\u6027\u3002<\/p>\n<p>\u7b80\u5355\u968f\u673a\u62bd\u6837\u7684\u4e00\u4e2a\u975e\u5e38\u6709\u5438\u5f15\u529b\u7684\u7279\u6027\u662f\u5b83\u53ef\u4ee5\u4f7f\u7528\u8ba1\u7b97\u673a\u7a0b\u5e8f\u8fdb\u884c\uff0c\u4ece\u800c\u53ef\u4ee5\u5feb\u901f\u8fdb\u884c\u7edf\u8ba1\u8ba1\u7b97\u3002<\/p>\n<p>\u6700\u540e\uff0c\u5e94\u8be5\u6307\u51fa\u7684\u662f\uff0c\u7b80\u5355\u968f\u673a\u62bd\u6837\u53ef\u80fd\u6bd4\u5176\u4ed6\u7c7b\u578b\u7684\u62bd\u6837\u66f4\u6602\u8d35\uff0c\u7279\u522b\u662f\u5728\u5e7f\u6cdb\u5206\u6563\u7684\u4eba\u7fa4\u4e2d\uff0c\u56e0\u4e3a\u5b83\u53ef\u80fd\u9700\u8981\u4f7f\u7528\u66f4\u591a\u7684\u8d44\u6e90\u8fdb\u884c\u7814\u7a76\u3002\u4f8b\u5982\uff0c\u7531\u4e8e\u662f\u968f\u673a\u62bd\u6837\uff0c\u88ab\u9009\u4e2d\u8fdb\u884c\u7814\u7a76\u7684\u4eba\u53ef\u80fd\u5728\u5730\u7406\u4e0a\u5206\u6563\u5f97\u5f88\u8fdc\uff0c\u56e0\u6b64\u8fdb\u884c\u9762\u5bf9\u9762\u8bbf\u8c08\u7684\u6210\u672c\u4f1a\u9ad8\u5f97\u591a\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u60a8\u5c06\u4e86\u89e3\u4ec0\u4e48\u662f\u7b80\u5355\u968f\u673a\u6837\u672c\u4ee5\u53ca\u7b80\u5355\u968f\u673a\u6837\u672c\u6709\u54ea\u4e9b\u7c7b\u578b\u3002\u6b64\u5916\uff0c\u6211\u4eec\u8fd8\u901a\u8fc7\u793a\u4f8b\u89e3\u91ca\u4e86\u5982\u4f55\u8fdb\u884c\u7b80\u5355\u968f\u673a\u62bd\u6837 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