{"id":1396,"date":"2023-07-26T13:44:31","date_gmt":"2023-07-26T13:44:31","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e8%8e%ab%e5%85%b0%e6%96%af%e5%b2%9b\/"},"modified":"2023-07-26T13:44:31","modified_gmt":"2023-07-26T13:44:31","slug":"%e8%8e%ab%e5%85%b0%e6%96%af%e5%b2%9b","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e8%8e%ab%e5%85%b0%e6%96%af%e5%b2%9b\/","title":{"rendered":"\u83ab\u5170\u7684\u81ea\u6211\u662f\u4ec0\u4e48\uff1f \uff08\u5b9a\u4e49&amp;#038\uff1b\u793a\u4f8b\uff09"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Moran&#8217;s I<\/strong>\u662f\u4e00\u79cd\u6d4b\u91cf\u7a7a\u95f4\u81ea\u76f8\u5173\u7684\u65b9\u6cd5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7b80\u5355\u6765\u8bf4\uff0c\u5b83\u662f\u4e00\u79cd\u91cf\u5316\u503c\u5728 2D \u7a7a\u95f4\u4e2d\u805a\u96c6\u7a0b\u5ea6\u7684\u65b9\u6cd5\u3002\u5b83\u901a\u5e38\u7528\u4e8e\u5730\u7406\u5b66\u548c<a href=\"https:\/\/en.wikipedia.org\/wiki\/Geographic_information_science\" target=\"_blank\" rel=\"noopener\">\u5730\u7406\u4fe1\u606f\u79d1\u5b66 (GIS)<\/a>\u4e2d\uff0c\u4ee5\u8861\u91cf\u5730\u56fe\u4e0a\u4e0d\u540c\u7279\u5f81\u7684\u5206\u7ec4\u7a0b\u5ea6\uff0c\u4f8b\u5982\u5bb6\u5ead\u6536\u5165\u3001\u6559\u80b2\u6c34\u5e73\u7b49\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u83ab\u5170 I\uff1a\u516c\u5f0f<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">Moran&#8217;s I \u7684\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>I<\/em> = (N\/W)*\u03a3\u03a3w <sub>ij<\/sub> ( <sub>xi<\/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( <sub>xi<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">x<\/span> ) <sup>2<\/sup><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>N\uff1a<\/strong>\u7531<em>i<\/em>\u548c<em>j<\/em>\u7d22\u5f15\u7684\u7a7a\u95f4\u5355\u5143\u7684\u6570\u91cf<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>W\uff1a<\/strong>\u6240\u6709 w <sub>ij<\/sub>\u7684\u603b\u548c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>x\uff1a<\/strong>\u611f\u5174\u8da3\u7684\u53d8\u91cf\uff08\u5bb6\u5ead\u6536\u5165\u3001\u53d7\u6559\u80b2\u5e74\u9650\u7b49\uff09<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><span style=\"border-top: 1px solid black;\">x<\/span> :<\/strong> x \u7684\u5e73\u5747\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>w <sub>ij<\/sub> \uff1a<\/strong>\u7a7a\u95f4\u6743\u91cd\u77e9\u9635<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u60a8\u53ef\u80fd\u6c38\u8fdc\u4e0d\u9700\u8981\u624b\u52a8\u8ba1\u7b97\u6b64\u6d4b\u91cf\u503c\uff0c\u56e0\u4e3a\u5927\u591a\u6570\u7edf\u8ba1\u8f6f\u4ef6\u90fd\u53ef\u4ee5\u4e3a\u60a8\u8ba1\u7b97\u5b83\uff0c\u4f46\u4e86\u89e3\u5e55\u540e\u4f7f\u7528\u7684\u516c\u5f0f\u4f1a\u6709\u6240\u5e2e\u52a9\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">Moran&#8217;s I \u7684\u503c\u8303\u56f4\u4e3a -1 \u5230 1\uff0c\u5176\u4e2d\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>-1\uff1a<\/strong>\u611f\u5174\u8da3\u7684\u53d8\u91cf\u5b8c\u5168\u5206\u6563<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>0\uff1a<\/strong>\u611f\u5174\u8da3\u7684\u53d8\u91cf\u662f\u968f\u673a\u5206\u6563\u7684<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>1\uff1a<\/strong>\u611f\u5174\u8da3\u7684\u53d8\u91cf\u5b8c\u7f8e\u5206\u7ec4<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u9664\u4e86\u8ba1\u7b97 Moran&#8217;s I \u4e4b\u5916\uff0c\u5927\u591a\u6570\u7edf\u8ba1\u8f6f\u4ef6\u8fd8\u4f1a\u8ba1\u7b97\u76f8\u5e94\u7684 p \u503c\uff0c\u8be5\u503c\u53ef\u7528\u4e8e\u786e\u5b9a\u6570\u636e\u662f\u5426\u968f\u673a\u5206\u6563\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u83ab\u5170\u68c0\u9a8c\u4f7f\u7528\u4ee5\u4e0b\u539f\u5047\u8bbe\u548c\u5907\u62e9\u5047\u8bbe\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u539f\u5047\u8bbe (H <sub>0<\/sub> )\uff1a<\/strong>\u6570\u636e\u968f\u673a\u5206\u6563\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5907\u62e9\u5047\u8bbe ( <sub>HA<\/sub> )\uff1a<\/strong>\u6570\u636e<em>\u4e0d\u662f<\/em>\u968f\u673a\u5206\u6563\u7684\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u5b83\u4ee5\u53ef\u89c1\u7684\u6a21\u5f0f\u5206\u7ec4\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u4e0e Moran&#8217;s I \u5bf9\u5e94\u7684 p \u503c\u4f4e\u4e8e\u4e00\u5b9a\u7684\u663e\u7740\u6027\u6c34\u5e73\uff08\u5373 \u03b1 = 0.05\uff09\uff0c\u90a3\u4e48\u6211\u4eec\u53ef\u4ee5\u62d2\u7edd\u96f6\u5047\u8bbe\u5e76\u5f97\u51fa\u7ed3\u8bba\uff1a\u6570\u636e\u5728\u7a7a\u95f4\u4e0a\u805a\u7c7b\uff0c\u56e0\u6b64\u5b83\u4eec\u4e0d\u592a\u53ef\u80fd\u5728\u7a7a\u95f4\u4e0a\u805a\u7c7b\u3002\u5076\u7136\u53d1\u751f\u7684\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u83ab\u5170 I\uff1a\u4e00\u4e9b\u4f8b\u5b50<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u4ee3\u8868 Moran&#8217;s I \u5177\u6709\u4e0d\u540c\u503c\u7684\u5047\u724c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u5730\u56fe\u4e0a\u7684\u6bcf\u4e2a\u65b9\u5757\u4ee3\u8868\u4e00\u4e2a\u53bf\uff0c\u5e73\u5747\u5bb6\u5ead\u6536\u5165\u8d85\u8fc7 50,000 \u7f8e\u5143\u7684\u53bf\u663e\u793a\u4e3a\u84dd\u8272\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Moran&#8217;s I = 0\uff1a<\/strong>\u5e73\u5747\u5bb6\u5ead\u6536\u5165\u662f\u968f\u673a\u5206\u6563\u7684\uff08\u5373\u968f\u673a\u533a\u57df\u4e2d\u7684\u968f\u673a\u96c6\u7fa4\uff09\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=\"\u83ab\u5170 I \u7684\u793a\u4f8b\" width=\"336\" height=\"323\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Moran&#8217;s I = -1\uff1a<\/strong>\u5e73\u5747\u5bb6\u5ead\u6536\u5165\u5b8c\u5168\u5206\u6563\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\u95f4\u7edf\u8ba1\u4e2d\u7684 Moran's I\" width=\"337\" height=\"334\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Moran&#8217;s I = 1\uff1a<\/strong>\u5e73\u5747\u5bb6\u5ead\u6536\u5165\u5b8c\u5168\u5206\u7ec4\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=\"\u83ab\u5170\u7684\u6211\" width=\"336\" height=\"331\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5728\u7edf\u8ba1\u8f6f\u4ef6R\u4e2d\u8ba1\u7b97Moran&#8217;s I\u7684\u5177\u4f53\u4f8b\u5b50\u8bf7\u53c2\u8003<a href=\"https:\/\/mgimond.github.io\/Spatial\/spatial-autocorrelation-in-r.html#app8_5\" target=\"_blank\" rel=\"noopener\">\u672c\u4f8b\u3002<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Moran&#8217;s I\u662f\u4e00\u79cd\u6d4b\u91cf\u7a7a\u95f4\u81ea\u76f8\u5173\u7684\u65b9\u6cd5\u3002 \u7b80\u5355\u6765\u8bf4\uff0c\u5b83\u662f\u4e00\u79cd\u91cf\u5316\u503c\u5728 2D \u7a7a\u95f4\u4e2d\u805a\u96c6\u7a0b\u5ea6\u7684 [&hellip;]<\/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-1396","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u83ab\u5170\u7684\u81ea\u6211\u662f\u4ec0\u4e48\uff1f \uff08\u5b9a\u4e49\u548c\u4f8b\u5b50\uff09<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u63d0\u4f9b\u4e86 Moran&#039;s I \u7684\u5feb\u901f\u89e3\u91ca\uff0c\u5305\u62ec\u6b63\u5f0f\u5b9a\u4e49\u548c\u793a\u4f8b\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\/\u83ab\u5170\u65af\u5c9b\/\" \/>\n<meta property=\"og:locale\" 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