{"id":495,"date":"2023-07-29T17:16:51","date_gmt":"2023-07-29T17:16:51","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e3%83%86%e3%82%99%e3%82%a3%e3%82%af%e3%82%bd%e3%83%b3%e3%82%b9%e3%82%99-q-%e3%83%86%e3%82%b9%e3%83%88%e3%81%ae%e5%a4%96%e3%82%8c%e5%80%a4\/"},"modified":"2023-07-29T17:16:51","modified_gmt":"2023-07-29T17:16:51","slug":"%e3%83%86%e3%82%99%e3%82%a3%e3%82%af%e3%82%bd%e3%83%b3%e3%82%b9%e3%82%99-q-%e3%83%86%e3%82%b9%e3%83%88%e3%81%ae%e5%a4%96%e3%82%8c%e5%80%a4","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e3%83%86%e3%82%99%e3%82%a3%e3%82%af%e3%82%bd%e3%83%b3%e3%82%b9%e3%82%99-q-%e3%83%86%e3%82%b9%e3%83%88%e3%81%ae%e5%a4%96%e3%82%8c%e5%80%a4\/","title":{"rendered":"\u30c7\u30a3\u30af\u30bd\u30f3\u306e q \u30c6\u30b9\u30c8: \u5b9a\u7fa9 + \u4f8b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Dixon \u306e Q \u30c6\u30b9\u30c8<\/strong>(\u5358\u306b<strong>Q \u30c6\u30b9\u30c8)<\/strong>\u306f\u3001\u30c7\u30fc\u30bf \u30bb\u30c3\u30c8\u5185\u306e\u5916\u308c\u5024\u3092\u691c\u51fa\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u7d71\u8a08\u30c6\u30b9\u30c8\u3067\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">Q \u30c6\u30b9\u30c8\u306e\u7d71\u8a08\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Q<\/strong> = |x <sub>a<\/sub> \u2013 <sub>xb<\/sub> | \/R<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u3053\u3067\u3001 <strong>x <sub>a<\/sub><\/strong>\u306f\u7591\u308f\u3057\u3044\u5916\u308c\u5024\u3001 <strong>x <sub>b<\/sub><\/strong>\u306f x <sub>a<\/sub>\u306b\u6700\u3082\u8fd1\u3044\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u3001 <strong>R<\/strong>\u306f\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u7bc4\u56f2\u3067\u3059\u3002<\/span><span style=\"color: #000000;\">\u307b\u3068\u3093\u3069\u306e\u5834\u5408\u3001x <sub>a<\/sub>\u306f\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u6700\u5927\u5024\u3067\u3059\u304c\u3001\u6700\u5c0f\u5024\u306b\u306a\u308b\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">Q \u30c6\u30b9\u30c8\u306f\u901a\u5e38\u3001\u5c0f\u3055\u306a\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u5bfe\u3057\u3066\u5b9f\u884c\u3055\u308c\u3001\u30c7\u30fc\u30bf\u304c\u6b63\u898f\u5206\u5e03\u3057\u3066\u3044\u308b\u3068\u4eee\u5b9a\u3057\u3066\u3044\u308b\u3053\u3068\u306b\u6ce8\u610f\u3059\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002<\/span> <span style=\"color: #000000;\">Q \u30c6\u30b9\u30c8\u306f\u7279\u5b9a\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u5bfe\u3057\u3066 1 \u56de\u3060\u3051\u5b9f\u884c\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3059\u308b\u3053\u3068\u3082\u91cd\u8981\u3067\u3059\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u30c7\u30a3\u30af\u30bd\u30f3 Q \u30c6\u30b9\u30c8\u3092\u624b\u52d5\u3067\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u304c\u3042\u308b\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>1\u30013\u30015\u30017\u30018\u30019\u300113\u300125<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/-10\/\" target=\"_blank\" rel=\"noopener\">\u6a19\u6e96\u7684\u306a 5 \u30b9\u30c6\u30c3\u30d7\u306e\u4eee\u8aac\u691c\u5b9a\u624b\u9806<\/a>\u306b\u5f93\u3063\u3066\u3001\u30c7\u30a3\u30af\u30bd\u30f3\u306e Q \u691c\u5b9a\u3092\u624b\u52d5\u3067\u5b9f\u884c\u3057\u3066\u3001\u3053\u306e\u30c7\u30fc\u30bf \u30bb\u30c3\u30c8\u306e\u6700\u5927\u5024\u304c\u5916\u308c\u5024\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 1. \u4eee\u8aac\u3092\u8ff0\u3079\u307e\u3059\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5e30\u7121\u4eee\u8aac (H0): \u6700\u5927\u5024\u306f\u5916\u308c\u5024\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5bfe\u7acb\u4eee\u8aac: (Ha): \u6700\u5927\u5024\u306f\u5916\u308c\u5024<em>\u3067\u3059<\/em>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 2. \u4f7f\u7528\u3059\u308b\u6709\u610f\u6c34\u6e96\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e00\u822c\u7684\u306a\u9078\u629e\u80a2\u306f 0.1\u30010.05\u3001\u304a\u3088\u3073 0.01 \u3067\u3059\u3002\u3053\u306e\u4f8b\u3067\u306f\u3001\u6709\u610f\u6c34\u6e96 0.05 \u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 3. \u691c\u5b9a\u7d71\u8a08\u91cf\u3092\u898b\u3064\u3051\u307e\u3059\u3002<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Q<\/strong> = |x <sub>a<\/sub> \u2013 <sub>xb<\/sub> | \/R<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u5834\u5408\u3001\u6700\u5927\u5024\u306f x <sub>a<\/sub> = 25\u3001\u6b21\u306b\u8fd1\u3044\u5024\u306f x <sub>b<\/sub> = 13\u3001\u7bc4\u56f2\u306f R = 25 \u2013 1 = 24 \u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3057\u305f\u304c\u3063\u3066\u3001 <strong>Q<\/strong> = |25 \u2013 13| \/ 24 = <strong>0.5<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001\u3053\u306e\u691c\u5b9a\u7d71\u8a08\u91cf\u3092\u91cd\u8981\u306a Q \u691c\u5b9a\u5024\u3068\u6bd4\u8f03\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u30b5\u30f3\u30d7\u30eb \u30b5\u30a4\u30ba (n) \u304a\u3088\u3073\u4fe1\u983c\u6c34\u6e96\u306b\u3064\u3044\u3066\u4ee5\u4e0b\u306b\u793a\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>n 90% 95% 99%<\/strong><\/span><br \/> <span style=\"color: #000000;\"><strong>3<\/strong> 0.941 0.970 0.994<\/span><br \/> <span style=\"color: #000000;\"><strong>4<\/strong> 0.765 0.829 0.926<\/span><br \/> <span style=\"color: #000000;\"><strong>5<\/strong> 0.642 0.710 0.821<\/span><br \/> <span style=\"color: #000000;\"><strong>6<\/strong> 0.560 0.625 0.740<\/span><br \/> <span style=\"color: #000000;\"><strong>7<\/strong> 0.507 0.568 0.680<\/span><br \/> <span style=\"color: #000000;\"><strong>8<\/strong> 0.468 0.526 0.634<\/span><br \/> <span style=\"color: #000000;\"><strong>9<\/strong> 0.437 0.493 0.598<\/span><br \/> <span style=\"color: #000000;\"><strong>10<\/strong> 0.412 0.466 0.568<\/span><br \/> <span style=\"color: #000000;\"><strong>11<\/strong> 0.392 0.444 0.542<\/span><br \/> <span style=\"color: #000000;\"><strong>12<\/strong> 0.376 0.426 0.522<\/span><br \/> <span style=\"color: #000000;\"><strong>13<\/strong> 0.361 0.410 0.503<\/span><br \/> <span style=\"color: #000000;\"><strong>14<\/strong> 0.349 0.396 0.488<\/span><br \/> <span style=\"color: #000000;\"><strong>15<\/strong> 0.338 0.384 0.475<\/span><br \/> <span style=\"color: #000000;\"><strong>16<\/strong> 0.329 0.374 0.463<\/span><br \/> <span style=\"color: #000000;\"><strong>17<\/strong> 0.320 0.365 0.452<\/span><br \/> <span style=\"color: #000000;\"><strong>18<\/strong> 0.313 0.356 0.442<\/span><br \/> <span style=\"color: #000000;\"><strong>19<\/strong> 0.306 0.349 0.433<\/span><br \/> <span style=\"color: #000000;\"><strong>20<\/strong> 0.300 0.342 0.425<\/span><br \/> <span style=\"color: #000000;\"><strong>21<\/strong> 0.295 0.337 0.418<\/span><br \/> <span style=\"color: #000000;\"><strong>22<\/strong> 0.290 0.331 0.411<\/span><br \/> <span style=\"color: #000000;\"><strong>23<\/strong> 0.285 0.326 0.404<\/span><br \/> <span style=\"color: #000000;\"><strong>24<\/strong> 0.281 0.321 0.399<\/span><br \/> <span style=\"color: #000000;\"><strong>25<\/strong> 0.277 0.317 0.393<\/span><br \/> <span style=\"color: #000000;\"><strong>26<\/strong> 0.273 0.312 0.388<\/span><br \/> <span style=\"color: #000000;\"><strong>27<\/strong> 0.269 0.308 0.384<\/span><br \/> <span style=\"color: #000000;\"><strong>28<\/strong> 0.266 0.305 0.380<\/span><br \/> <span style=\"color: #000000;\"><strong>29<\/strong> 0.263 0.301 0.376<\/span><br \/> <span style=\"color: #000000;\"><strong>30<\/strong> 0.260 0.290 0.372<\/span><\/p>\n<p><span style=\"color: #000000;\">\u30b5\u30f3\u30d7\u30eb\u6570 8\u3001\u4fe1\u983c\u6c34\u6e96 95% \u306e\u81e8\u754c\u5024\u306f<strong>0.526<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 4. \u5e30\u7121\u4eee\u8aac\u3092\u62d2\u5426\u3059\u308b\u304b\u3001\u62d2\u5426\u3057\u307e\u305b\u3093\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u691c\u5b9a\u7d71\u8a08\u91cf Q (0.5) \u304c\u81e8\u754c\u5024 (0.526) \u3088\u308a\u5c0f\u3055\u3044\u305f\u3081\u3001\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3067\u304d\u307e\u305b\u3093\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 5. \u7d50\u679c\u3092\u89e3\u91c8\u3057\u307e\u3059\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3067\u304d\u306a\u304b\u3063\u305f\u305f\u3081\u3001\u3053\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3067\u306f\u6700\u5927\u5024<em>25 \u306f<\/em>\u5916\u308c\u5024\u3067\u306f\u306a\u3044\u3068\u7d50\u8ad6\u4ed8\u3051\u307e\u3059\u3002<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>R \u3067\u30c7\u30a3\u30af\u30bd\u30f3\u306e Q \u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">R \u306e\u540c\u3058\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u5bfe\u3057\u3066 Dixon \u306e Q \u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u306b\u306f\u3001<strong>\u5916\u308c<\/strong>\u5024\u30e9\u30a4\u30d6\u30e9\u30ea\u306e<strong>dixon.test()<\/strong>\u95a2\u6570\u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u95a2\u6570\u306f\u6b21\u306e\u69cb\u6587\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">dixon.test(\u30c7\u30fc\u30bf\u3001 \u3001\u30bf\u30a4\u30d7 = 10\u3001\u53cd\u5bfe = FALSE)<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>data:<\/strong>\u30c7\u30fc\u30bf\u5024\u306e\u6570\u5024\u30d9\u30af\u30c8\u30eb<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>type:<\/strong> Q \u7d71\u8a08\u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3059\u308b\u5f0f\u306e\u30bf\u30a4\u30d7\u3002\u524d\u8ff0\u306e\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u306b\u306f\u300110 \u306b\u8a2d\u5b9a\u3057\u307e\u3059\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u53cd\u5bfe:<\/strong> FALSE \u306e\u5834\u5408\u3001\u30c6\u30b9\u30c8\u3067\u306f\u6700\u5927\u5024\u304c\u5916\u308c\u5024\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u304c\u5224\u65ad\u3055\u308c\u307e\u3059\u3002 TRUE \u306e\u5834\u5408\u3001\u30c6\u30b9\u30c8\u3067\u306f\u6700\u5c0f\u5024\u304c\u5916\u308c\u5024\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u304c\u5224\u65ad\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u30c7\u30d5\u30a9\u30eb\u30c8\u3067\u306f FALSE \u3067\u3059\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><em>\u6ce8<\/em>: <em>dixon.test() \u306e\u5b8c\u5168\u306a\u30c9\u30ad\u30e5\u30e1\u30f3\u30c8\u306f<a href=\"https:\/\/www.rdocumentation.org\/packages\/outliers\/versions\/0.14\/topics\/dixon.test\" target=\"_blank\" rel=\"noopener\">\u3053\u3053\u3067<\/a>\u898b\u3064\u3051\u3066\u304f\u3060\u3055\u3044\u3002<\/em><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001\u30c7\u30a3\u30af\u30bd\u30f3\u306e Q \u691c\u5b9a\u3092\u5b9f\u884c\u3057\u3066\u3001\u30c7\u30fc\u30bf \u30bb\u30c3\u30c8\u5185\u306e\u6700\u5927\u5024\u304c\u5916\u308c\u5024\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load the <em>outliers<\/em> library<\/span>\nlibrary(outliers)\n\n<span style=\"color: #008080;\">#create data\n<\/span>data &lt;- c(1, 3, 5, 7, 8, 9, 13, 25)\n\n<span style=\"color: #008080;\">#conduct Dixon's Q Test\n<\/span>dixon.test(data, type = 10)\n\n# Dixon test for outliers\n#\n#data:data\n#Q = 0.5, p-value = 0.06913\n#alternative hypothesis: highest value 25 is an outlier\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u7d50\u679c\u304b\u3089\u3001\u691c\u5b9a\u7d71\u8a08\u91cf\u304c Q = <strong>0.5<\/strong>\u3067\u3001\u5bfe\u5fdc\u3059\u308b p \u5024\u304c<strong>0.06913<\/strong>\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6709\u610f\u6c34\u6e96 0.05 \u3067\u306f\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3067\u304d\u305a\u3001 <em>25<\/em>\u306f\u5916\u308c\u5024\u3067\u306f\u306a\u3044\u3068\u7d50\u8ad6\u4ed8\u3051\u3089\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u624b\u52d5\u3067\u53d6\u5f97\u3057\u305f\u7d50\u679c\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dixon \u306e Q \u30c6\u30b9\u30c8(\u5358\u306bQ \u30c6\u30b9\u30c8)\u306f\u3001\u30c7\u30fc\u30bf \u30bb\u30c3\u30c8\u5185\u306e\u5916\u308c\u5024\u3092\u691c\u51fa\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u7d71\u8a08\u30c6\u30b9\u30c8\u3067\u3059\u3002 Q \u30c6\u30b9\u30c8\u306e\u7d71\u8a08\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 Q = |x a \u2013 xb | \/R \u3053\u3053\u3067\u3001 x a\u306f\u7591\u308f\u3057\u3044\u5916\u308c [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-495","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Dixon \u306e Q \u30c6\u30b9\u30c8: \u5b9a\u7fa9 + \u4f8b - Statorials<\/title>\n<meta name=\"description\" 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