{"id":1395,"date":"2023-07-26T13:44:31","date_gmt":"2023-07-26T13:44:31","guid":{"rendered":"https:\/\/statorials.org\/id\/moran-i\/"},"modified":"2023-07-26T13:44:31","modified_gmt":"2023-07-26T13:44:31","slug":"moran-i","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/moran-i\/","title":{"rendered":"Apa diri moran? (definisi &amp; #038; contoh)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Moran&#8217;s I<\/strong> adalah cara untuk mengukur autokorelasi spasial.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Sederhananya, ini adalah cara untuk mengukur seberapa dekat nilai-nilai dikelompokkan dalam ruang 2D. Ini sering digunakan dalam <a href=\"https:\/\/en.wikipedia.org\/wiki\/Geographic_information_science\" target=\"_blank\" rel=\"noopener\">ilmu geografi dan informasi geografis (GIS)<\/a> untuk mengukur seberapa dekat berbagai fitur dikelompokkan pada peta, seperti pendapatan rumah tangga, tingkat pendidikan, dll.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Moran&#8217;s I: rumusnya<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Rumus untuk menghitung Moran&#8217;s I adalah:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>Saya<\/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;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>N :<\/strong> Banyaknya satuan spasial yang diindeks <em>i<\/em> dan <em>j<\/em><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>W :<\/strong> Jumlah semua w <sub>ij<\/sub><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x :<\/strong> Variabel yang diminati (pendapatan rumah tangga, lama sekolah, dll)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><span style=\"border-top: 1px solid black;\">x<\/span> :<\/strong> Rata-rata x<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>w <sub>ij<\/sub> :<\/strong> Matriks bobot spasial<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Anda mungkin tidak perlu menghitung pengukuran ini dengan tangan karena sebagian besar perangkat lunak statistik dapat menghitungnya untuk Anda, tetapi mengetahui rumus yang digunakan akan membantu.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nilai Moran&#8217;s I dapat berkisar antara -1 hingga 1 dimana:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>-1:<\/strong> Variabel yang diminati tersebar sempurna<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>0:<\/strong> variabel yang diminati tersebar secara acak<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>1:<\/strong> Variabel yang diminati dikelompokkan dengan sempurna<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Selain menghitung Moran&#8217;s I, sebagian besar perangkat lunak statistik menghitung nilai p yang sesuai yang dapat digunakan untuk menentukan apakah data tersebar secara acak atau tidak.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Uji Moran menggunakan hipotesis nol dan hipotesis alternatif berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Hipotesis nol (H <sub>0<\/sub> ):<\/strong> data tersebar secara acak.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Hipotesis alternatif ( <sub>HA<\/sub> ):<\/strong> Data <em>tidak<\/em> tersebar secara acak, yaitu dikelompokkan dalam pola yang terlihat.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jika nilai p yang sesuai dengan Moran&#8217;s I berada di bawah tingkat signifikansi tertentu (yaitu \u03b1 = 0,05), maka kita dapat menolak hipotesis nol dan menyimpulkan bahwa data dikelompokkan secara spasial sedemikian rupa sehingga kecil kemungkinannya untuk dikelompokkan secara spasial. terjadi secara kebetulan.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Moran&#8217;s I: beberapa contoh<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Contoh berikut mewakili kartu palsu dengan nilai berbeda untuk Moran&#8217;s I.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Mari kita asumsikan bahwa setiap kotak di peta mewakili suatu daerah, dan daerah dengan pendapatan rata-rata rumah tangga di atas $50.000 ditunjukkan dengan warna biru.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Moran&#8217;s I = 0:<\/strong> Rata-rata pendapatan rumah tangga tersebar secara acak (yaitu kelompok acak di wilayah acak).<\/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=\"Contoh Moran's I\" width=\"336\" height=\"323\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Moran&#8217;s I = -1:<\/strong> Rata-rata pendapatan rumah tangga tersebar sempurna.<\/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=\"Moran's I dalam statistik spasial\" width=\"337\" height=\"334\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Moran&#8217;s I = 1 :<\/strong> rata-rata pendapatan rumah tangga dikelompokkan secara sempurna.<\/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=\"Saya oleh Moran\" width=\"336\" height=\"331\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Lihat <a href=\"https:\/\/mgimond.github.io\/Spatial\/spatial-autocorrelation-in-r.html#app8_5\" target=\"_blank\" rel=\"noopener\">contoh ini<\/a> untuk contoh konkrit penghitungan Moran&#8217;s I pada perangkat lunak statistik R.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Moran&#8217;s I adalah cara untuk mengukur autokorelasi spasial. Sederhananya, ini adalah cara untuk mengukur seberapa dekat nilai-nilai dikelompokkan dalam ruang 2D. Ini sering digunakan dalam ilmu geografi dan informasi geografis (GIS) untuk mengukur seberapa dekat berbagai fitur dikelompokkan pada peta, seperti pendapatan rumah tangga, tingkat pendidikan, dll. Moran&#8217;s I: rumusnya Rumus untuk menghitung Moran&#8217;s I [&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":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Apa Diri Moran? 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