{"id":1754,"date":"2023-07-25T03:16:01","date_gmt":"2023-07-25T03:16:01","guid":{"rendered":"https:\/\/statorials.org\/id\/hubungan-yang-monoton\/"},"modified":"2023-07-25T03:16:01","modified_gmt":"2023-07-25T03:16:01","slug":"hubungan-yang-monoton","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/hubungan-yang-monoton\/","title":{"rendered":"Apa hubungan yang monoton? (definisi + contoh)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Dalam statistik, <strong>hubungan monotonik<\/strong> antara dua variabel mengacu pada skenario di mana perubahan pada satu variabel biasanya dikaitkan dengan perubahan arah tertentu pada variabel lain.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ada dua jenis hubungan monotonik:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Monotonik positif:<\/strong> Ketika nilai suatu variabel meningkat maka nilai variabel lainnya juga cenderung meningkat.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-17179 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mono1.png\" alt=\"Hubungan monotonik yang positif\" width=\"473\" height=\"384\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Monotonik negatif:<\/strong> ketika nilai salah satu variabel meningkat maka nilai variabel lainnya cenderung menurun.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-17180\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lundi2.png\" alt=\"Hubungan monoton yang negatif\" width=\"484\" height=\"388\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Jika dua variabel umumnya tidak berubah ke arah yang sama, maka keduanya dikatakan mempunyai <strong>hubungan nonmonotonik<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Berikut adalah contoh hubungan non-monotonik antara dua variabel:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-17181 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lundi3.png\" alt=\"Hubungan yang tidak monoton\" width=\"504\" height=\"407\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Dan berikut contoh lain hubungan non-monotonik antara dua variabel:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-17184 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mon6.png\" alt=\"\" width=\"497\" height=\"395\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Dengan bertambahnya nilai x, <em>terkadang<\/em> nilai y bertambah, namun terkadang nilai y <em>menurun<\/em> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sangat monoton atau tidak terlalu monoton<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Dua variabel dikatakan mempunyai hubungan <strong>yang sangat monotonik<\/strong> jika perubahan pada satu variabel <em>selalu<\/em> dikaitkan dengan perubahan arah yang sama pada variabel lain.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalnya, grafik berikut mengilustrasikan hubungan monotonik yang sangat positif antara dua variabel:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-17182\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lundi4.png\" alt=\"Hubungan yang sangat monoton\" width=\"490\" height=\"402\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Semakin besar nilai x maka nilai y <em>selalu<\/em> bertambah.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Grafik berikut mengilustrasikan hubungan monotonik yang sangat negatif antara dua variabel:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-17183 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lundi5.png\" alt=\"monotonik yang sangat negatif\" width=\"508\" height=\"406\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Jika nilai x bertambah maka nilai y <em>selalu<\/em> berkurang.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bagaimana mengukur hubungan monotonik<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Cara paling umum untuk mengukur hubungan antara dua variabel adalah dengan menggunakan <a href=\"https:\/\/statorials.org\/id\/koefisien-korelasi-pearson-1\/\" target=\"_blank\" rel=\"noopener\">koefisien korelasi Pearson<\/a> , yang<\/span> <span style=\"color: #000000;\">mengukur hubungan linier antara dua variabel.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Koefisien ini selalu bernilai antara -1 dan 1 dimana:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">-1 menunjukkan korelasi linier negatif sempurna antara dua variabel<\/span><\/li>\n<li> <span style=\"color: #000000;\">0 menunjukkan tidak ada korelasi linier antara dua variabel<\/span><\/li>\n<li> <span style=\"color: #000000;\">Angka 1 menunjukkan korelasi linier positif sempurna antara dua variabel<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Semakin dekat koefisiennya dengan 1, maka semakin kuat hubungan positif antara kedua variabel tersebut. Sebaliknya, semakin dekat koefisiennya dengan -1, maka semakin kuat hubungan negatif antara kedua variabel tersebut.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Namun, jika hubungan antara dua variabel bersifat monotonik tetapi tidak linier (seperti hubungan eksponensial), sebaiknya gunakan <a href=\"https:\/\/statorials.org\/id\/cara-melaporkan-korelasi-spearman\/\" target=\"_blank\" rel=\"noopener\">korelasi Spearman Rank<\/a> , yang dirancang untuk menangani hubungan monotonik dengan baik.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Apa pun jenis koefisien korelasi yang Anda hitung, sebaiknya buatlah diagram sebar untuk memvisualisasikan hubungan antar variabel.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dalam statistik, hubungan monotonik antara dua variabel mengacu pada skenario di mana perubahan pada satu variabel biasanya dikaitkan dengan perubahan arah tertentu pada variabel lain. Ada dua jenis hubungan monotonik: Monotonik positif: Ketika nilai suatu variabel meningkat maka nilai variabel lainnya juga cenderung meningkat. Monotonik negatif: ketika nilai salah satu variabel meningkat maka nilai variabel [&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 hubungan yang monoton? 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