{"id":1393,"date":"2023-07-26T13:44:31","date_gmt":"2023-07-26T13:44:31","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e3%83%a2%e3%83%a9%e3%83%b3%e3%82%b9%e7%a7%81\/"},"modified":"2023-07-26T13:44:31","modified_gmt":"2023-07-26T13:44:31","slug":"%e3%83%a2%e3%83%a9%e3%83%b3%e3%82%b9%e7%a7%81","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e3%83%a2%e3%83%a9%e3%83%b3%e3%82%b9%e7%a7%81\/","title":{"rendered":"\u30e2\u30e9\u30f3\u306e\u81ea\u5df1\u3068\u306f\u4f55\u3067\u3059\u304b\uff1f (\u5b9a\u7fa9&amp;#038;\u4f8b)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Moran \u306e I \u306f\u3001<\/strong>\u7a7a\u9593\u7684\u81ea\u5df1\u76f8\u95a2\u3092\u6e2c\u5b9a\u3059\u308b\u65b9\u6cd5\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7c21\u5358\u306b\u8a00\u3048\u3070\u30012D \u7a7a\u9593\u5185\u3067\u5024\u304c\u3069\u306e\u7a0b\u5ea6\u5bc6\u96c6\u3057\u3066\u3044\u308b\u304b\u3092\u5b9a\u91cf\u5316\u3059\u308b\u65b9\u6cd5\u3067\u3059\u3002\u3053\u308c\u306f\u3001\u4e16\u5e2f\u53ce\u5165\u3001\u6559\u80b2\u30ec\u30d9\u30eb\u306a\u3069\u3001\u3055\u307e\u3056\u307e\u306a\u30d5\u30a3\u30fc\u30c1\u30e3\u304c\u5730\u56f3\u4e0a\u3067\u3069\u306e\u7a0b\u5ea6\u5bc6\u63a5\u306b\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u3066\u3044\u308b\u304b\u3092\u6e2c\u5b9a\u3059\u308b\u305f\u3081\u306b\u3001\u5730\u7406\u3084<a href=\"https:\/\/en.wikipedia.org\/wiki\/Geographic_information_science\" target=\"_blank\" rel=\"noopener\">\u5730\u7406\u60c5\u5831\u79d1\u5b66 (GIS)<\/a>\u3067\u3088\u304f\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u30e2\u30e9\u30f3\u306e I: \u516c\u5f0f<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">Moran \u306e I \u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>I<\/em> = (N\/W)*\u03a3\u03a3w <sub>ij<\/sub> (x <sub>i<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">x<\/span> )(x <sub>j<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">x<\/span> )\/\u03a3(x <sub>i<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">x<\/span> ) <sup>2<\/sup><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>N:<\/strong> <em>i<\/em>\u3068<em>j<\/em>\u306b\u3088\u3063\u3066\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u4ed8\u3051\u3055\u308c\u305f\u7a7a\u9593\u5358\u4f4d\u306e\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>W:<\/strong>\u3059\u3079\u3066\u306e w <sub>ij<\/sub>\u306e\u5408\u8a08<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>x:<\/strong>\u95a2\u5fc3\u306e\u3042\u308b\u5909\u6570 (\u4e16\u5e2f\u53ce\u5165\u3001\u5c31\u5b66\u5e74\u6570\u306a\u3069)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><span style=\"border-top: 1px solid black;\">x<\/span> :<\/strong> x \u306e\u5e73\u5747<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>w <sub>ij<\/sub> :<\/strong>\u7a7a\u9593\u91cd\u307f\u306e\u884c\u5217<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u307b\u3068\u3093\u3069\u306e\u7d71\u8a08\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u3067\u8a08\u7b97\u3067\u304d\u308b\u305f\u3081\u3001\u3053\u306e\u6e2c\u5b9a\u5024\u3092\u624b\u52d5\u3067\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u306f\u304a\u305d\u3089\u304f\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u5185\u90e8\u3067\u4f7f\u7528\u3055\u308c\u308b\u5f0f\u3092\u77e5\u3063\u3066\u304a\u304f\u3068\u5f79\u7acb\u3061\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">Moran \u306e I \u306e\u5024\u306e\u7bc4\u56f2\u306f -1 \u304b\u3089 1 \u307e\u3067\u3067\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>-1:<\/strong>\u5bfe\u8c61\u306e\u5909\u6570\u306f\u5b8c\u5168\u306b\u5206\u6563\u3057\u3066\u3044\u307e\u3059<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>0:<\/strong>\u5bfe\u8c61\u306e\u5909\u6570\u306f\u30e9\u30f3\u30c0\u30e0\u306b\u5206\u6563\u3055\u308c\u307e\u3059<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>1:<\/strong>\u5bfe\u8c61\u306e\u5909\u6570\u306f\u5b8c\u5168\u306b\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u3066\u3044\u307e\u3059<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u307b\u3068\u3093\u3069\u306e\u7d71\u8a08\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u306f\u3001Moran&#8217;s I \u306e\u8a08\u7b97\u306b\u52a0\u3048\u3066\u3001\u30c7\u30fc\u30bf\u304c\u30e9\u30f3\u30c0\u30e0\u306b\u5206\u6563\u3057\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3067\u304d\u308b\u5bfe\u5fdc\u3059\u308b p \u5024\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">Moran \u691c\u5b9a\u3067\u306f\u3001\u6b21\u306e\u5e30\u7121\u4eee\u8aac\u3068\u5bfe\u7acb\u4eee\u8aac\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5e30\u7121\u4eee\u8aac (H <sub>0<\/sub> ):<\/strong>\u30c7\u30fc\u30bf\u306f\u30e9\u30f3\u30c0\u30e0\u306b\u5206\u6563\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5bfe\u7acb\u4eee\u8aac ( <sub>HA<\/sub> ):<\/strong>\u30c7\u30fc\u30bf\u306f\u30e9\u30f3\u30c0\u30e0\u306b\u5206\u6563\u3055\u308c\u3066\u3044<em>\u307e\u305b\u3093<\/em>\u3002\u3064\u307e\u308a\u3001\u30c7\u30fc\u30bf\u306f\u76ee\u306b\u898b\u3048\u308b\u30d1\u30bf\u30fc\u30f3\u3067\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">Moran \u306e I \u306b\u5bfe\u5fdc\u3059\u308b p \u5024\u304c\u7279\u5b9a\u306e\u6709\u610f\u30ec\u30d9\u30eb (\u3064\u307e\u308a\u3001\u03b1 = 0.05) \u3092\u4e0b\u56de\u308b\u5834\u5408\u3001\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3057\u3001\u30c7\u30fc\u30bf\u304c\u7a7a\u9593\u7684\u306b\u30af\u30e9\u30b9\u30bf\u30fc\u5316\u3055\u308c\u308b\u53ef\u80fd\u6027\u304c\u4f4e\u3044\u307b\u3069\u7a7a\u9593\u7684\u306b\u30af\u30e9\u30b9\u30bf\u30fc\u5316\u3055\u308c\u3066\u3044\u308b\u3068\u7d50\u8ad6\u4ed8\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u5076\u7136\u306b\u8d77\u3053\u3063\u305f\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u30e2\u30e9\u30f3\u306e I: \u3044\u304f\u3064\u304b\u306e\u4f8b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u3001\u30e2\u30e9\u30f3\u306e I \u306e\u7570\u306a\u308b\u5024\u3092\u6301\u3064\u507d\u306e\u30ab\u30fc\u30c9\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5730\u56f3\u4e0a\u306e\u5404\u56db\u89d2\u5f62\u304c\u90e1\u3092\u8868\u3057\u3001\u5e73\u5747\u4e16\u5e2f\u53ce\u5165\u304c 50,000 \u30c9\u30eb\u3092\u8d85\u3048\u308b\u90e1\u304c\u9752\u8272\u3067\u793a\u3055\u308c\u3066\u3044\u308b\u3068\u4eee\u5b9a\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Moran \u306e I = 0:<\/strong>\u5e73\u5747\u4e16\u5e2f\u53ce\u5165\u306f\u30e9\u30f3\u30c0\u30e0\u306b\u5206\u6563\u3057\u3066\u3044\u307e\u3059 (\u3064\u307e\u308a\u3001\u30e9\u30f3\u30c0\u30e0\u306a\u9818\u57df\u306b\u30e9\u30f3\u30c0\u30e0\u306a\u30af\u30e9\u30b9\u30bf\u30fc\u304c\u5b58\u5728\u3057\u307e\u3059)\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13852 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/morani1.png\" alt=\"\u30e2\u30e9\u30f3\u306e I \u306e\u4f8b\" width=\"336\" height=\"323\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Moran \u306e I = -1:<\/strong>\u5e73\u5747\u4e16\u5e2f\u53ce\u5165\u306f\u5b8c\u5168\u306b\u5206\u6563\u3057\u3066\u3044\u307e\u3059\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13853 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/morani2.png\" alt=\"\u7a7a\u9593\u7d71\u8a08\u306b\u304a\u3051\u308b Moran \u306e I\" width=\"337\" height=\"334\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Moran \u306e I = 1:<\/strong>\u5e73\u5747\u4e16\u5e2f\u53ce\u5165\u306f\u5b8c\u5168\u306b\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13854 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/morani3.png\" alt=\"\u30e2\u30e9\u30f3\u306e\u79c1\" width=\"336\" height=\"331\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u7d71\u8a08\u30bd\u30d5\u30c8R\u3067\u306eMoran&#8217;s I\u306e\u5177\u4f53\u7684\u306a\u8a08\u7b97\u4f8b\u306f<a href=\"https:\/\/mgimond.github.io\/Spatial\/spatial-autocorrelation-in-r.html#app8_5\" target=\"_blank\" rel=\"noopener\">\u3053\u3061\u3089\u306e\u4f8b<\/a>\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Moran \u306e I \u306f\u3001\u7a7a\u9593\u7684\u81ea\u5df1\u76f8\u95a2\u3092\u6e2c\u5b9a\u3059\u308b\u65b9\u6cd5\u3067\u3059\u3002 \u7c21\u5358\u306b\u8a00\u3048\u3070\u30012D \u7a7a\u9593\u5185\u3067\u5024\u304c\u3069\u306e\u7a0b\u5ea6\u5bc6\u96c6\u3057\u3066\u3044\u308b\u304b\u3092\u5b9a\u91cf\u5316\u3059\u308b\u65b9\u6cd5\u3067\u3059\u3002\u3053\u308c\u306f\u3001\u4e16\u5e2f\u53ce\u5165\u3001\u6559\u80b2\u30ec\u30d9\u30eb\u306a\u3069\u3001\u3055\u307e\u3056\u307e\u306a\u30d5\u30a3\u30fc\u30c1\u30e3\u304c\u5730\u56f3\u4e0a\u3067\u3069\u306e\u7a0b\u5ea6\u5bc6\u63a5\u306b\u30b0\u30eb\u30fc [&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-1393","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>\u30e2\u30e9\u30f3\u306e\u81ea\u5df1\u3068\u306f\u4f55\u3067\u3059\u304b\uff1f (\u5b9a\u7fa9\u3068\u4f8b)<\/title>\n<meta name=\"description\" content=\"\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001\u6b63\u5f0f\u306a\u5b9a\u7fa9\u3068\u4f8b\u3092\u542b\u3081\u3066\u3001Moran&#039;s I \u306b\u3064\u3044\u3066\u7c21\u5358\u306b\u8aac\u660e\u3057\u307e\u3059\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\/ja\/\u30e2\u30e9\u30f3\u30b9\u79c1\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u30e2\u30e9\u30f3\u306e\u81ea\u5df1\u3068\u306f\u4f55\u3067\u3059\u304b\uff1f (\u5b9a\u7fa9\u3068\u4f8b)\" \/>\n<meta property=\"og:description\" content=\"\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001\u6b63\u5f0f\u306a\u5b9a\u7fa9\u3068\u4f8b\u3092\u542b\u3081\u3066\u3001Moran&#039;s I 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