{"id":490,"date":"2023-07-29T17:55:21","date_gmt":"2023-07-29T17:55:21","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%ae%89%e5%be%b7%e6%a3%ae%c2%b7%e5%88%87%e9%87%8c%e6%b5%8b%e8%af%95-r\/"},"modified":"2023-07-29T17:55:21","modified_gmt":"2023-07-29T17:55:21","slug":"%e5%ae%89%e5%be%b7%e6%a3%ae%c2%b7%e5%88%87%e9%87%8c%e6%b5%8b%e8%af%95-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%ae%89%e5%be%b7%e6%a3%ae%c2%b7%e5%88%87%e9%87%8c%e6%b5%8b%e8%af%95-r\/","title":{"rendered":"\u5982\u4f55\u5728 r \u4e2d\u6267\u884c anderson-darling \u6d4b\u8bd5"},"content":{"rendered":"

<\/p>\n

\n

Anderson-Darling \u68c0\u9a8c<\/strong>\u662f\u4e00\u79cd\u62df\u5408\u4f18\u5ea6\u68c0\u9a8c\uff0c\u7528\u4e8e\u8861\u91cf\u6570\u636e\u4e0e\u6307\u5b9a\u5206\u5e03\u7684\u62df\u5408\u7a0b\u5ea6\u3002\u6b64\u68c0\u9a8c\u6700\u5e38\u7528\u4e8e\u786e\u5b9a\u6570\u636e\u662f\u5426\u670d\u4ece\u6b63\u6001\u5206\u5e03<\/a>\u3002<\/span><\/p>\n

\u8fd9\u79cd\u7c7b\u578b\u7684\u68c0\u9a8c\u5bf9\u4e8e\u68c0\u9a8c\u6b63\u6001\u6027\u975e\u5e38\u6709\u7528\uff0c\u6b63\u6001\u6027\u662f\u8bb8\u591a\u7edf\u8ba1\u68c0\u9a8c\u4e2d\u5e38\u7528\u7684\u5047\u8bbe\uff0c\u5305\u62ec\u56de\u5f52\u3001\u65b9\u5dee\u5206\u6790\u3001t \u68c0\u9a8c\u7b49\u3002<\/span><\/p>\n

\u793a\u4f8b\uff1aR \u4e2d\u7684 Anderson-Darling \u6d4b\u8bd5<\/strong><\/span><\/h3>\n

\u8981\u5728 R \u4e2d\u6267\u884c Anderson-Darling \u6d4b\u8bd5\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528nortest<\/strong>\u5e93\u4e2d\u7684ad.test()<\/strong>\u51fd\u6570\u3002<\/span><\/p>\n

\u4e0b\u9762\u7684\u4ee3\u7801\u8bf4\u660e\u4e86\u5982\u4f55\u6267\u884cAD\u6d4b\u8bd5\u6765\u6d4b\u8bd5100\u4e2a\u503c\u7684\u5411\u91cf\u662f\u5426\u670d\u4ece\u6b63\u6001\u5206\u5e03\uff1a<\/span><\/p>\n

 #install (if not already installed) and load nortest<\/em> library<\/span>\ninstall.packages('nortest')\nlibrary(nortest)\n\n#make this example reproducible<\/span>\nset.seed(1)\n\n#defined vector of 100 values that are normally distributed\nx <- rnorm(100, 0, 1)<\/span>\n\n#conduct Anderson-Darling Test to test for normality\nad.test(x)\n\n<\/span>#<\/span> Anderson-Darling normality test\n#\n#data:x\n#A = 0.16021, p-value = 0.9471\n<\/span><\/span><\/strong><\/pre>\n
\u8be5\u6d4b\u8bd5\u8fd4\u56de\u4e24\u4e2a\u503c\uff1a<\/span><\/p>\n
 A<\/strong> \uff1a\u68c0\u9a8c\u7edf\u8ba1\u91cf\u3002<\/span><\/p>\n
 p-value<\/strong> \uff1a\u68c0\u9a8c\u7edf\u8ba1\u91cf\u5bf9\u5e94\u7684 p-\u503c\u3002<\/span><\/p>\n
 AD \u68c0\u9a8c\u7684\u539f\u5047\u8bbe\u662f\u6570\u636e\u670d\u4ece<\/em>\u6b63\u6001\u5206\u5e03\u3002\u56e0\u6b64\uff0c\u5982\u679c\u6211\u4eec\u7684\u68c0\u9a8c p \u503c\u5c0f\u4e8e\u6211\u4eec\u7684\u663e\u7740\u6027\u6c34\u5e73\uff08\u5e38\u89c1\u9009\u62e9\u4e3a 0.10\u30010.05 \u548c 0.01\uff09\uff0c\u90a3\u4e48\u6211\u4eec\u53ef\u4ee5\u62d2\u7edd\u96f6\u5047\u8bbe\u5e76\u5f97\u51fa\u7ed3\u8bba\uff1a\u6211\u4eec\u6709\u8db3\u591f\u7684\u8bc1\u636e\u6765\u65ad\u8a00\u6211\u4eec\u7684\u6570\u636e\u4e0d\u7b26\u5408\u6b63\u5e38\u8f68\u8ff9\u3002\u5206\u914d\u3002<\/span><\/p>\n
\u5728\u672c\u4f8b\u4e2d\uff0c\u6211\u4eec\u7684 p \u503c\u4e3a 0.9471\u3002\u7531\u4e8e\u8be5\u6570\u5b57\u4e0d\u4f4e\u4e8e\u6211\u4eec\u7684\u663e\u7740\u6027\u6c34\u5e73\uff08\u4f8b\u5982 0.05\uff09\uff0c\u56e0\u6b64\u6211\u4eec\u6ca1\u6709\u8db3\u591f\u7684\u8bc1\u636e\u6765\u62d2\u7edd\u539f\u5047\u8bbe\u3002\u53ef\u4ee5\u80af\u5b9a\u5730\u8bf4\uff0c\u6211\u4eec\u7684\u6570\u636e\u9075\u5faa\u6b63\u6001\u5206\u5e03\uff0c\u8fd9\u662f\u6709\u9053\u7406\u7684\uff0c\u56e0\u4e3a\u6211\u4eec\u4f7f\u7528 R \u4e2d\u7684rnorm()<\/strong>\u51fd\u6570\u751f\u6210\u4e86 100 \u4e2a\u9075\u5faa\u5747\u503c\u4e3a 0\u3001\u6807\u51c6\u5dee\u4e3a 1 \u7684\u6b63\u6001\u5206\u5e03\u7684\u503c\u3002<\/span><\/p>\n
\u76f8\u53cd\uff0c\u5047\u8bbe\u6211\u4eec\u751f\u6210\u4e00\u4e2a\u7531 100 \u4e2a\u503c\u7ec4\u6210\u7684\u5411\u91cf\uff0c\u8be5\u5411\u91cf\u9075\u5faa 0 \u5230 1 \u4e4b\u95f4\u7684\u5747\u5300\u5206\u5e03\u3002\u6211\u4eec\u53ef\u4ee5\u518d\u6b21\u8fd0\u884c AD \u6d4b\u8bd5\u6765\u67e5\u770b\u8be5\u6570\u636e\u662f\u5426\u9075\u5faa\u6b63\u6001\u5206\u5e03\uff1a<\/span><\/p>\n
 #make this example reproducible\n<\/span>set.seed(1)\n\n#defined vector of 100 values that are uniformly distributed\n<\/span>x <- runif(100, 0, 1)\n\n#conduct Anderson-Darling Test to test for normality\n<\/span>ad.test(x)\n\n# Anderson-Darling normality test\n#\n#data:x\n#A = 1.1472, p-value = 0.005086\n<\/strong><\/pre>\n
\u6211\u4eec\u7684A<\/em>\u68c0\u9a8c\u7edf\u8ba1\u91cf\u7b49\u4e8e 1.1472\uff0c\u76f8\u5e94\u7684 p \u503c\u7b49\u4e8e 0.005086\u3002\u7531\u4e8e\u6211\u4eec\u7684 p \u503c\u5c0f\u4e8e 0.05\uff0c\u56e0\u6b64\u6211\u4eec\u53ef\u4ee5\u62d2\u7edd\u539f\u5047\u8bbe\u5e76\u5f97\u51fa\u7ed3\u8bba\uff1a\u6211\u4eec\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u8be5\u6570\u636e\u4e0d\u670d\u4ece\u6b63\u6001\u5206\u5e03\u3002\u8fd9\u662f\u6211\u4eec\u671f\u671b\u7684\u7ed3\u679c\uff0c\u56e0\u4e3a\u6211\u4eec\u77e5\u9053\u6211\u4eec\u7684\u6570\u636e\u5b9e\u9645\u4e0a\u9075\u5faa\u5747\u5300\u5206\u5e03\u3002<\/span><\/p>\n
\u5728 R \u4e2d\u5bf9\u6570\u636e\u6846\u7684\u5217\u6267\u884c Anderson-Darling \u6d4b\u8bd5<\/strong><\/span><\/h2>\n
\u6211\u4eec\u8fd8\u53ef\u4ee5\u5bf9 R \u4e2d\u6570\u636e\u5e27\u7684\u6307\u5b9a\u5217\u6267\u884c AD \u6d4b\u8bd5\u3002\u4f8b\u5982\uff0c\u8003\u8651\u5d4c\u5165\u7684iris<\/strong>\u6570\u636e\u96c6\uff1a<\/span><\/p>\n
 #view first six lines of iris<\/em> dataset<\/span>\nhead(iris)\n\n# Sepal.Length Sepal.Width Petal.Length Petal.Width Species\n#1 5.1 3.5 1.4 0.2 setosa\n#2 4.9 3.0 1.4 0.2 setosa\n#3 4.7 3.2 1.3 0.2 setosa\n#4 4.6 3.1 1.5 0.2 setosa\n#5 5.0 3.6 1.4 0.2 setosa\n#6 5.4 3.9 1.7 0.4 setosa\n<\/strong><\/pre>\n
\u5047\u8bbe\u6211\u4eec\u60f3\u77e5\u9053Petal.Width<\/em>\u53d8\u91cf\u662f\u5426\u670d\u4ece\u6b63\u6001\u5206\u5e03\u3002\u6211\u4eec\u53ef\u4ee5\u9996\u5148\u521b\u5efa\u4e00\u4e2a\u76f4\u65b9\u56fe\u6765\u53ef\u89c6\u5316\u503c\u7684\u5206\u5e03\uff1a<\/span><\/p>\n
 hist(iris$Petal.Width, col = 'steelblue', main = 'Distribution of Petal Widths',\n     xlab = 'Petal Width')\n<\/strong><\/pre>\n
\u6570\u636e\u4f3c\u4e4e\u4e0d\u5448\u6b63\u6001\u5206\u5e03\u3002\u4e3a\u4e86\u8bc1\u5b9e\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u53ef\u4ee5\u8fdb\u884c AD \u6d4b\u8bd5\u6765\u6b63\u5f0f\u6d4b\u8bd5\u6570\u636e\u662f\u5426\u670d\u4ece\u6b63\u6001\u5206\u5e03\uff1a<\/span><\/p>\n
 #conduct Anderson-Darling Test to test for normality\n<\/span>ad.test(iris$Petal.Width)\n\n# Anderson-Darling normality test\n#\n#data: iris$Petal.Width\n#A = 5.1057, p-value = 1.125e-12\n<\/strong><\/pre>\n
\u68c0\u9a8c\u7684 p \u503c\u5c0f\u4e8e 0.05\uff0c\u56e0\u6b64\u6211\u4eec\u6709\u8db3\u591f\u7684\u8bc1\u636e\u62d2\u7edd\u539f\u5047\u8bbe\u5e76\u5f97\u51faPetal.Width<\/em>\u4e0d\u670d\u4ece\u6b63\u6001\u5206\u5e03\u7684\u7ed3\u8bba\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"
Anderson-Darling \u68c0\u9a8c\u662f\u4e00\u79cd\u62df\u5408\u4f18\u5ea6\u68c0\u9a8c\uff0c\u7528\u4e8e\u8861\u91cf\u6570\u636e\u4e0e\u6307\u5b9a\u5206\u5e03\u7684\u62df\u5408\u7a0b\u5ea6\u3002\u6b64\u68c0\u9a8c\u6700\u5e38\u7528\u4e8e\u786e\u5b9a […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-490","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"\n\u5982\u4f55\u5728 R \u4e2d\u6267\u884c Anderson-Darling \u68c0\u9a8c - Statorials<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u5728 R \u4e2d\u8f7b\u677e\u6267\u884c Anderson-Darling \u6b63\u6001\u6027\u68c0\u9a8c\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\/\u5b89\u5fb7\u68ee\u00b7\u5207\u91cc\u6d4b\u8bd5-r\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u5982\u4f55\u5728 R \u4e2d\u6267\u884c Anderson-Darling \u68c0\u9a8c - 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