{"id":376,"date":"2008-09-09T18:47:00","date_gmt":"2008-09-09T10:47:00","guid":{"rendered":"https:\/\/lifeparty.idv.tw\/blog\/archives\/376"},"modified":"2008-09-10T09:45:20","modified_gmt":"2008-09-10T01:45:20","slug":"%e7%b5%b1%e8%a8%88%e6%8e%a8%e8%ab%96%e7%9a%84%e7%94%9f%e6%b4%bb%e5%8c%96%e8%a7%80%e5%bf%b5","status":"publish","type":"post","link":"https:\/\/lifeparty.idv.tw\/blog\/archives\/376","title":{"rendered":"\u7d71\u8a08\u63a8\u8ad6\u7684\u751f\u6d3b\u5316\u89c0\u5ff5"},"content":{"rendered":"<p>\u5728\u3008<a href=\"https:\/\/lifeparty.idv.tw\/blog\/archives\/374\">\u57fa\u65bc\u653f\u6cbb\u4fe1\u4ef0\u7684\u7d71\u8a08\u4fee\u8fad<\/a>\u3009\u7684\u8ff4\u97ff\u4e2d\uff0c\u6709\u8b80\u8005\u63d0\u5230\u4ed6\u5c0d\u6587\u4e2d\u7684\u7d71\u8a08\u5b78\u5916\u884c\uff0c\u65bc\u662f\u8b93\u540c\u4eba\u8208\u8d77\u5beb\u6587\u7ae0\u4ecb\u7d39\u7d71\u8a08\u5b78\u57fa\u672c\u89c0\u5ff5\u7684\u60f3\u6cd5\uff0c\u4ee5\u5e6b\u52a9\u8b80\u8005\u4e86\u89e3\u8a72\u7bc7\u6587\u7ae0\u3002\u904e\u53bb\u540c\u4eba\u66fe\u5728\u3008<a href=\"https:\/\/lifeparty.idv.tw\/blog\/archives\/200\">\u4e09\u767e\u516c\u65a4\u7684\u8c6c<\/a>\u3009\u4e2d\u4ee5\u751f\u6d3b\u5316\u7684\u4f8b\u5b50\u4f86\u8aaa\u660e\u7d71\u8a08\u63a8\u8ad6\u7684<a href=\"http:\/\/en.wikipedia.org\/wiki\/Statistical_hypothesis_testing\">\u5047\u8a2d\u6aa2\u5b9a<\/a>\uff0c\u9019\u7bc7\u6587\u7ae0\u57fa\u672c\u4e0a\u9084\u662f\u4e0d\u6703\u7528\u592a\u904e\u5b78\u8853\u5316\u7684\u89d2\u5ea6\u4f86\u8a6e\u91cb\u7d71\u8a08\u5b78\uff0c\u800c\u662f\u4ee5\u751f\u6d3b\u4e0a\u7684\u96b1\u55bb\u4f86\u8aaa\u660e\u7d71\u8a08\u5b78\u4e0a\u7684\u91cd\u8981\u6982\u5ff5\uff0c\u5e0c\u671b\u80fd\u5f15\u8d77\u8b80\u8005\u9032\u4e00\u6b65\u5b78\u7fd2\u7d71\u8a08\u5b78\u7684\u8208\u8da3\u3002<\/p>\n<p>\u7d71\u8a08\u5b78\u7684\u89c0\u5ff5\u4e26\u4e0d\u96e3\u7406\u89e3\uff0c\u53ea\u662f\u4e00\u5927\u5806\u5b9a\u7406\u8207\u516c\u5f0f\u8b93\u4eba\u671b\u800c\u537b\u6b65\u3002\u4f46\u5176\u5be6\u53ea\u8981\u5c0d\u7d71\u8a08\u5b78\u5efa\u7acb\u6e05\u695a\u7684\u89c0\u5ff5\uff0c\u8981\u4e86\u89e3\u9019\u4e9b\u516c\u5f0f\u8207\u5b9a\u7406\u90fd\u662f\u8f15\u800c\u6613\u8209\u7684\uff0c\u4e26\u4e0d\u9700\u8981\u6b7b\u80cc\u786c\u8a18\u5b83\u5011\u3002\u800c\u5efa\u7acb\u7d71\u8a08\u5b78\u89c0\u5ff5\u6700\u6709\u6548\u7684\u65b9\u6cd5\uff0c\u6211\u8a8d\u70ba\u61c9\u8a72\u8981\u5f9e\u65e5\u5e38\u751f\u6d3b\u51fa\u767c\uff0c\u53ea\u8981\u5f9e\u751f\u6d3b\u61c9\u7528\u7684\u89d2\u5ea6\u51fa\u767c\uff0c\u7d71\u8a08\u5b78\u5c31\u4e0d\u518d\u6703\u96e2\u6211\u5011\u5982\u6b64\u9059\u9060\u3002<!--more--><\/p>\n<p>\u56e0\u6b64\uff0c\u540c\u4eba\u5728\u6b64\u9084\u7528\u6211\u8a8d\u70ba\u5b78\u7d71\u8a08\u5b78\u6700\u7d93\u5178\u7684\u90a3\u53e5\u8a71\u300c\u4e09\u767e\u516c\u65a4\u7684\u8c6c\u662f\u4e0d\u662f\u4e00\u982d\u80a5\u8c6c\uff1f\u300d\u4f86\u505a\u70ba\u958b\u982d\u3002\u8981\u56de\u7b54\u9019\u500b\u554f\u984c\uff0c\u6211\u5011\u5fc5\u9808\u77e5\u9053\u5728\u6240\u6709\u8c6c\u7684\u91cd\u91cf\u6240\u6210\u7684\u7fa4\u9ad4\uff08<a href=\"http:\/\/en.wikipedia.org\/wiki\/Statistical_population\">\u6bcd\u9ad4<\/a>\uff09\u4e4b\u4e2d\uff0c\u6bd4\u4e09\u767e\u516c\u65a4\u91cd\u7684\u8c6c\u7684\u6bd4\u4f8b\uff0c\u800c\u6700\u7c21\u55ae\u7684\u65b9\u6cd5\u7576\u7136\u662f\u5148\u7b97\u51fa\u8c6c\u7684\u5e73\u5747\u91cd\u91cf\uff1b\u5982\u679c\u8c6c\u7684\u5e73\u5747\u91cd\u91cf\u5927\u65bc\u4e09\u767e\u516c\u65a4\uff0c\u6211\u5011\u53ef\u4ee5\u8f15\u6613\u5730\u77e5\u9053\u5927\u90e8\u5206\u7684\u8c6c\u7684\u91cd\u91cf\u90fd\u8d85\u904e\u4e09\u767e\u516c\u65a4\uff0c\u90a3\u4e09\u767e\u516c\u65a4\u7684\u8c6c\u81ea\u7136\u4e0d\u662f\u4e00\u982d\u80a5\u8c6c\u3002<\/p>\n<p>\u90a3\u5982\u679c\u8c6c\u7684\u5e73\u5747\u91cd\u91cf\u5c0f\u65bc\u4e09\u767e\u516c\u65a4\uff0c\u6211\u5011\u662f\u5426\u53ef\u4ee5\u8aaa\u4e09\u767e\u516c\u65a4\u7684\u8c6c\u662f\u4e00\u982d\u80a5\u8c6c\u5462\uff1f\u6211\u5011\u7576\u7136\u4e0d\u80fd\u5982\u6b64\u6b66\u65b7\uff0c\u800c\u662f\u61c9\u8a72\u770b\u4e09\u767e\u516c\u65a4\u7684\u8c6c\u6bd4\u8c6c\u7684\u5e73\u5747\u91cd\u91cf\u591a\u591a\u5c11\u516c\u65a4\u3002\u4f46\u554f\u984c\u662f\u6211\u5011\u600e\u9ebc\u77e5\u9053\u8d85\u904e\u8c6c\u7684\u5e73\u5747\u91cd\u91cf\u591a\u5c11\u516c\u65a4\u624d\u7b97\u662f\u80a5\u8c6c\u5462\uff1f\u9019\u8207\u6bcf\u4e00\u96bb\u8c6c\u7684\u91cd\u91cf\u5dee\u7570\u7a0b\u5ea6\u6709\u95dc\uff0c\u4e00\u822c\u53ef\u7528\u8c6c\u7684\u91cd\u91cf<a href=\"http:\/\/en.wikipedia.org\/wiki\/Standard_Deviation\">\u6a19\u6e96\u5dee<\/a>\u4f86\u8861\u91cf\uff0c\u9019\u6a19\u6e96\u5dee\u4fbf\u662f\u754c\u5b9a\u89c0\u6e2c\u503c\u8207\u5e73\u5747\u503c\u4e4b\u9593\u5dee\u7570\u5927\u5c0f\u7684\u57fa\u672c\u5c3a\u5ea6\u55ae\u4f4d\u3002<\/p>\n<p>\u5982\u679c\u6211\u5011\u77e5\u9053\u8c6c\u7684\u91cd\u91cf\u6240\u5f62\u6210\u7684\u7fa4\u9ad4\u662f\u5448<a href=\"http:\/\/en.wikipedia.org\/wiki\/Normal_distribution\">\u5e38\u614b\u5206\u914d<\/a>\u7684\u8a71\uff0c\u90a3\u9ebc\u5c31\u53ef\u4ee5\u5f97\u5230\u5728\u8c6c\u7684\u7fa4\u9ad4\u4e2d\uff0c\u8207\u5e73\u5747\u91cd\u91cf\u5dee\u8ddd\u4e0d\u8d85\u904e\u5e7e\u500d\u6a19\u6e96\u5dee\u7684\u8c6c\u96bb\u6bd4\u4f8b\u6709\u591a\u5c11\uff1b\u5c0f\u65bc\u4e00\u500d\u6a19\u6e96\u5dee\u7684\u6bd4\u4f8b\u4e0d\u5927\u65bc 68%\u3001\u5c0f\u65bc\u4e8c\u500d\u6a19\u6e96\u5dee\u4e0d\u5927\u65bc 95%\u3001\u5c0f\u65bc\u4e09\u500d\u6a19\u6e96\u5dee\u5247\u4e0d\u5927\u65bc 99%\u3002<\/p>\n<p><img decoding=\"async\" src=\"http:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/8\/8c\/Standard_deviation_diagram.svg\/400px-Standard_deviation_diagram.svg.png\" \/><br \/>\n\u5716\u7247\u4f86\u6e90\uff1a<a href=\"http:\/\/en.wikipedia.org\/w\/index.php?title=Normal_distribution&amp;oldid=236654605\">Normal distribution<\/a>. (2008, September 6). In Wikipedia, The Free Encyclopedia.<\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u5011\u53ea\u9700\u5b9a\u7fa9\u4e86\u8a8d\u5b9a\u80a5\u8c6c\uff08\u6216\u7626\u8c6c\uff09\u7684\u6a19\u6e96\u70ba\u4f55\uff0c\u4e5f\u5c31\u662f\u8a8d\u5b9a\u5176\u91cd\u91cf\u8207\u5e73\u5747\u91cd\u91cf\u76f8\u5dee\u5e7e\u500d\u6a19\u6e96\u5dee\u4ee5\u4e0a\u624d\u7a31\u70ba\u80a5\u8c6c\uff08\u6216\u7626\u8c6c\uff09\uff0c\u90a3\u9ebc\u6211\u5011\u5c31\u53ef\u8f15\u6613\u5730\u5ba2\u89c0\u5224\u5b9a\u4e09\u767e\u516c\u65a4\uff08\u8207\u5176\u5b83\u91cd\u91cf\uff09\u7684\u8c6c\u662f\u5426\u662f\u80a5\u8c6c\uff08\u6216\u540c\u7406\u53ef\u8b49\u7684\u7626\u8c6c\uff09\uff0c\u6211\u5011\u53ea\u9700\u8981\u6c42\u5f97\u5e73\u5747\u6578\u8207\u6a19\u6e96\u5dee\u9019\u5169\u500b\u6bcd\u9ad4\u53c3\u6578\u5c31\u53ef\u77e5\u9053\u9019\u4e00\u5207\u3002<\/p>\n<p>\u4ee5\u4e0a\u4fbf\u662f<a href=\"http:\/\/en.wikipedia.org\/wiki\/Descriptive_statistics\">\u654d\u8ff0\u6027\u7d71\u8a08<\/a>\u7684\u7bc4\u7587\uff0c\u6211\u5011\u901a\u5e38\u6709\u8208\u8da3\u7684\u662f\u6bcd\u9ad4\u53c3\u6578\uff0c\u5e6b\u6211\u5011\u5728\u65e5\u5e38\u751f\u6d3b\u4e2d\u505a\u51fa\u5224\u65b7\u8207\u6c7a\u7b56\u3002\u4f46\u554f\u984c\u662f\u5728\u771f\u5be6\u4e16\u754c\u4e2d\uff0c\u6bcd\u9ad4\u53c3\u6578\u5e38\u5e38\u662f\u96e3\u4ee5\u7372\u5f97\u7684\u3002\u4f8b\u5982\u6211\u5011\u4e0d\u5927\u53ef\u80fd\u627e\u5230\u6240\u6709\u7684\u8c6c\uff0c\u7136\u5f8c\u53bb\u91cf\u6e2c\u7260\u5011\u7684\u91cd\u91cf\u4e26\u7b97\u51fa\u5e73\u5747\u503c\u8207\u6a19\u6e96\u5dee\u3002\u53d7\u9650\u65bc\u4eba\u529b\u8207\u6210\u672c\u7684\u9650\u5236\uff0c\u5728\u7121\u6cd5\u6c42\u5f97\u6bcd\u9ad4\u53c3\u6578\u7684\u60c5\u6cc1\u4e0b\uff0c\u6211\u5011\u8981\u5982\u4f55\u505a\u51fa\u5ba2\u89c0\u7684\u5224\u65b7\u8207\u6c7a\u7b56\u5462\uff1f<\/p>\n<p>\u9019\u4fbf\u662f<a href=\"http:\/\/en.wikipedia.org\/wiki\/Statistical_inference\">\u63a8\u8ad6\u7d71\u8a08<\/a>\u6240\u8981\u89e3\u6c7a\u7684\u554f\u984c\uff0c\u4e5f\u5c31\u662f\u7d71\u8a08\u5b78\u6bd4\u8f03\u8907\u96dc\u7684\u5730\u65b9\uff0c\u9019\u5c07\u6703\u8b93\u7d71\u8a08\u8207\u6a5f\u7387\u626f\u4e0a\u95dc\u4fc2\u3002\u904b\u7528\u62bd\u6a23\u4ee5\u6a23\u672c\u7d71\u8a08\u91cf\u4f86\u63a8\u8ad6\u6bcd\u9ad4\u53c3\u6578\uff0c\u4e26\u904b\u7528\u6a5f\u7387\u4f86\u91cf\u5316\u62bd\u6a23\u8aa4\u5dee\u3002\u96d6\u7136\u6211\u5011\u7121\u6cd5\u5b8c\u5168\u7121\u8aa4\u5730\u77e5\u9053\u6bcd\u9ad4\u53c3\u6578\u7684\u771f\u78ba\u503c\uff0c\u4f46\u537b\u53ef\u4ee5\u904b\u7528\u6a5f\u7387\u4f86\u63a7\u5236\u5224\u65b7\u8207\u6c7a\u7b56\u7684\u8aa4\u5dee\u8207\u54c1\u8cea\u3002<\/p>\n<p>\u4f9d\u64da<a href=\"http:\/\/en.wikipedia.org\/wiki\/Central_limit_theorem\">\u4e2d\u592e\u6975\u9650\u5b9a\u7406<\/a>\uff0c\u5982\u679c\u6211\u5011\u5f9e\u6bcd\u9ad4\u4e2d\u62bd\u53d6\u8db3\u5920\u7684\u6a23\u672c\uff0c\u4e26\u4e14\u4f7f\u6a23\u672c\u5177\u6709<a href=\"http:\/\/en.wikipedia.org\/wiki\/IID\">\u7368\u7acb\u6027\u8207\u4f86\u81ea\u540c\u4e00\u6bcd\u9ad4\u7684\u539f\u5247<\/a>\uff0c\u4e0d\u8ad6\u5176\u6a23\u672c\u7684\u6bcd\u9ad4\u662f\u4e0d\u662f\u5c6c\u65bc\u5e38\u614b\u5206\u914d\uff0c\u5176\u6a23\u672c\u7684\u7d71\u8a08\u91cf\u7684\u6a5f\u7387\u5206\u914d\u5fc5\u5b9a\u6703\u5448\u73fe\u5e38\u614b\u5206\u914d\u3002\u5176\u6a23\u672c\u7684\u7d71\u8a08\u91cf\u7684\u5e73\u5747\u503c\u6703\u903c\u8fd1\u6bcd\u9ad4\u7684\u5e73\u5747\u503c\u53c3\u6578\uff0c\u5176\u6a23\u672c\u7d71\u8a08\u91cf\u7684\u6a19\u6e96\u5dee\u5247\u6703\u76f8\u7576\u65bc\u6bcd\u9ad4\u7684\u6a19\u6e96\u5dee\u9664\u4e0a\u6a23\u672c\u6578 n \u7684\u958b\u6839\u865f\u3002<\/p>\n<p>\u6240\u4ee5\u904b\u7528\u9019\u500b\u7279\u6027\u6211\u5011\u53ef\u4ee5\u7528\u6a23\u672c\u7684\u7d71\u8a08\u91cf\u4f86\u63a8\u8ad6\u6bcd\u9ad4\u53c3\u6578\uff0c\u4e26\u904b\u7528\u6a5f\u7387\u4f86\u91cf\u5316\u62bd\u6a23\u8aa4\u5dee\uff0c\u5c07\u63a8\u8ad6\u51fa\u932f\u7684\u6a5f\u7387\u9650\u5236\u5728\u67d0\u500b\u7bc4\u570d\u4e4b\u5167\uff0c\u9019\u5c31\u662f\u63a8\u8ad6\u7d71\u8a08\u7684\u57fa\u672c\u89c0\u5ff5\u3002<\/p>\n<p>\u56de\u5230\u4e09\u767e\u516c\u65a4\u7684\u8c6c\u7684\u4f8b\u5b50\u4f86\u770b\uff0c\u96d6\u7136\u6211\u5011\u4e0d\u53ef\u80fd\u91cf\u6e2c\u6bcf\u4e00\u96bb\u8c6c\u7684\u91cd\u91cf\u4f86\u6c42\u5f97\u6bcd\u9ad4\u7684\u5e73\u5747\u91cd\u91cf\uff0c\u4f46\u53ea\u8981\u91cf\u6e2c\u8d85\u904e 25~30 \u96bb\u96a8\u6a5f\u53d6\u6a23\u7684\u8c6c\u96bb\u91cd\u91cf\uff0c\u4fbf\u53ef\u4ee5\u5728\u53ef\u63a5\u53d7\u62bd\u6a23\u8aa4\u5dee\u7684\u5bb9\u8a31\u7bc4\u570d\u4e4b\u5167\uff0c\u7528\u6a23\u672c\u5e73\u5747\u91cd\u91cf\u4ee5<a href=\"http:\/\/en.wikipedia.org\/wiki\/Interval_estimation\">\u5340\u9593\u4f30\u8a08<\/a>\u4f86\u63a8\u8ad6\u53ef\u80fd\u7684\u6bcd\u9ad4\u5e73\u5747\u91cd\u91cf\uff0c\u6216\u662f\u4ee5\u5047\u8a2d\u6aa2\u5b9a\u4f86\u5224\u5b9a\u662f\u5426\u63a5\u53d7\u5047\u8a2d\u7684\u6bcd\u9ad4\u5e73\u5747\u91cd\u91cf\u3002<\/p>\n<p>\u8209\u4f8b\u4f86\u8aaa\uff0c\u5047\u8a2d\u6211\u5011\u53ef\u4ee5\u63a5\u53d7\u6bcd\u9ad4\u5e73\u5747\u91cd\u91cf\u6709 5% \u7684\u932f\u8aa4\u6a5f\u7387\uff0c\u6211\u5011\u4fbf\u6703\u9078\u53d6\u6a23\u672c\u7d71\u8a08\u91cf\u7684\u5e73\u5747\u503c\u7684\u6b63\u8ca0 2 \u500d\u6a19\u6e96\u5dee\u4f86\u7576\u6210\u6bcd\u9ad4\u5e73\u5747\u503c\u7684<a 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href=\"http:\/\/en.wikipedia.org\/wiki\/Student%27s_t-distribution\">T \u5206\u914d<\/a>\u3002\u800c\u7531\u6b64\u6211\u5011\u4e5f\u53ef\u4ee5\u767c\u73fe\u4e0d\u7ba1\u6a23\u672c\u7684\u7d71\u8a08\u91cf\u7684\u6a5f\u7387\u5206\u914d\u662f\u5e38\u614b\u5206\u914d\u6216\u662f T \u5206\u914d\uff0c\u5176\u64cd\u4f5c\u6982\u5ff5\u90fd\u662f\u4e00\u6a23\u7684\uff0c\u85c9\u7531\u6a23\u672c\u7684\u7d71\u8a08\u91cf\u4f86\u63a8\u8ad6\u6bcd\u9ad4\u53c3\u6578\uff0c\u800c\u4ee5\u6a19\u6e96\u5dee\u9664\u4e0a n 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<a href=\"https:\/\/lifeparty.idv.tw\/blog\/archives\/376\">\u95b1\u8b80\u5168\u6587 <span 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