{"id":1284,"date":"2023-07-27T00:41:54","date_gmt":"2023-07-27T00:41:54","guid":{"rendered":"https:\/\/statorials.org\/id\/beberapa\/"},"modified":"2023-07-27T00:41:54","modified_gmt":"2023-07-27T00:41:54","slug":"beberapa","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/beberapa\/","title":{"rendered":"Apa itu somers&#39; d? (definisi &amp; #038; contoh)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Somers&#8217; D<\/strong> , singkatan dari Somers&#8217; Delta, adalah ukuran kekuatan dan arah hubungan antara variabel terikat ordinal dan variabel bebas ordinal.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Variabel <em>ordinal<\/em> adalah variabel yang nilainya memiliki tatanan alami (misalnya &#8220;buruk&#8221;, &#8220;netral&#8221;, &#8220;baik&#8221;).<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nilai Somers&#8217; D adalah antara -1 dan 1 dimana:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>-1 :<\/strong> Menunjukkan bahwa semua pasangan variabel tidak sependapat<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>1:<\/strong> menunjukkan bahwa semua pasangan variabel cocok<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Somers&#8217; D digunakan dalam praktik untuk banyak metode statistik nonparametrik.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Somers &#8216;D: definisi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Diberikan dua variabel, X dan Y, kita dapat mengatakan:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Dua pasangan ( <sub>xi<\/sub> , y <sub>i<\/sub> ) dan (x <sub>j<\/sub> , y <sub>j<\/sub> ) adalah <strong>konkordan<\/strong> jika pangkat kedua elemennya sama.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Dua pasang (xi<\/span> <sub>,<\/sub> <span style=\"color: #000000;\">y<\/span> <sub>i<\/sub> <span style=\"color: #000000;\">) dan (x<\/span> <sub>j<\/sub> <span style=\"color: #000000;\">, y<\/span> <sub>j<\/sub> <span style=\"color: #000000;\">) <b>sumbang<\/b><\/span><b> <\/b><span style=\"color: #000000;\">jika peringkat kedua elemen tersebut cocok.<\/span><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Kita kemudian dapat menghitung Somers&#8217; D menggunakan rumus berikut:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">Somers&#8217; D = ( <sub>NC<\/sub> \u2013 N <sub>D<\/sub> ) \/ ( <sub>NC<\/sub> + N <sub>D<\/sub> + N <sub>T<\/sub> )<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>N <sub>C<\/sub> :<\/strong> Banyaknya pasangan yang cocok<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>ND<\/sub> :<\/strong> Banyaknya pasangan sumbang<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N <sub>T<\/sub> :<\/strong> Banyaknya pasangan yang seri<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Nilai yang dihasilkan akan selalu antara -1 dan 1.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Somers &#8216;D: contoh di R<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan sebuah toko kelontong ingin mengevaluasi hubungan antara dua variabel ordinal berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Keramahan kasir secara keseluruhan (peringkat 1 hingga 3)<\/span><\/li>\n<li> <span style=\"color: #000000;\">Kepuasan pengalaman pelanggan secara keseluruhan (juga peringkat 1 hingga 3)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Mereka mengumpulkan peringkat berikut dari <a href=\"https:\/\/statorials.org\/id\/populasi-vs.-sampel\/\" target=\"_blank\" rel=\"noopener\">sampel<\/a> 10 pelanggan:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12605 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quelquun1.png\" alt=\"Contoh D dari Somers\" width=\"261\" height=\"306\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Untuk mengukur hubungan antara dua variabel, kita dapat menghitung Somers&#8217; D menggunakan kode berikut di R:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#enter data<\/span>\nnice &lt;- c(1, 1, 1, 2, 2, 2, 3, 3, 3, 3)\nsatisfaction &lt;- c(2, 2, 1, 2, 3, 2, 2, 3, 3, 3)\n\n<span style=\"color: #008080;\">#load <em>DescTools<\/em> package\n<\/span>library(DescTools)\n\n<span style=\"color: #008080;\">#calculate Somers' D\n<\/span>SomersDelta(nice, satisfaction)\n\n[1] 0.6896552<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Somers&#8217; D ternyata <strong>0,6896552<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nilai tersebut cukup mendekati 1, hal ini menunjukkan adanya hubungan positif yang cukup kuat antara kedua variabel.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Hal ini masuk akal secara intuitif: Pelanggan yang menilai kasir lebih baik juga cenderung menilai kepuasan mereka secara keseluruhan lebih tinggi.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/id\/koefisien-korelasi-pearson-1\/\" target=\"_blank\" rel=\"noopener\">Pengantar Koefisien Korelasi Pearson<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/kendall-tau\/\" target=\"_blank\" rel=\"noopener\">Pengantar Tau Kendall<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Somers&#8217; D , singkatan dari Somers&#8217; Delta, adalah ukuran kekuatan dan arah hubungan antara variabel terikat ordinal dan variabel bebas ordinal. Variabel ordinal adalah variabel yang nilainya memiliki tatanan alami (misalnya &#8220;buruk&#8221;, &#8220;netral&#8221;, &#8220;baik&#8221;). Nilai Somers&#8217; D adalah antara -1 dan 1 dimana: -1 : Menunjukkan bahwa semua pasangan variabel tidak sependapat 1: menunjukkan bahwa [&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 itu Somers&#039; D? 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