{"id":137,"date":"2023-08-05T02:05:59","date_gmt":"2023-08-05T02:05:59","guid":{"rendered":"https:\/\/statorials.org\/id\/koefisien-asimetri\/"},"modified":"2023-08-05T02:05:59","modified_gmt":"2023-08-05T02:05:59","slug":"koefisien-asimetri","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/koefisien-asimetri\/","title":{"rendered":"Koefisien asimetri"},"content":{"rendered":"<p>Artikel ini menjelaskan apa itu koefisien asimetri, cara menghitungnya, dan cara menafsirkannya. Secara khusus, Anda akan menemukan cara menghitung tiga jenis koefisien asimetri yang paling banyak digunakan dalam statistik. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-coeficiente-de-asimetria\"><\/span> Berapa koefisien asimetrinya?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Dalam statistik, <strong>koefisien asimetri<\/strong> adalah koefisien yang memungkinkan Anda menghitung asimetri suatu distribusi. Artinya, koefisien skewness digunakan untuk menentukan apakah suatu fungsi memiliki skewed positif, skewed negatif, atau simetris.<\/p>\n<p> Koefisien asimetri juga dapat disebut <strong>indeks asimetri<\/strong> .<\/p>\n<p> Perlu diingat bahwa kemiringan suatu distribusi bergantung pada bentuk kurva. Jadi, berbagai jenis asimetri adalah:<\/p>\n<ul>\n<li> <strong>Kecondongan positif<\/strong> : Distribusi mempunyai nilai yang lebih berbeda di sebelah kanan mean daripada di sebelah kiri.<\/li>\n<li> <strong>Kecondongan negatif<\/strong> : Distribusi mempunyai nilai yang lebih berbeda di sebelah kiri mean daripada di sebelah kanannya.<\/li>\n<li> <strong>Simetri<\/strong> : Distribusi mempunyai jumlah nilai yang sama di kiri dan di kanan mean. <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/statistiques-types-dasymetrie.png\" alt=\"jenis asimetri\" class=\"wp-image-2983\" width=\"648\" height=\"196\" srcset=\"\" sizes=\"\"><\/figure>\n<p> Pada dasarnya, tiga jenis koefisien asimetri digunakan tergantung pada kasusnya: koefisien Fisher, koefisien Pearson, dan koefisien Bowley. Cara menghitung masing-masing jenis koefisien skewness dijelaskan secara rinci di bawah ini. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"coeficiente-de-asimetria-de-fisher\"><\/span> Koefisien asimetri Fisher<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Koefisien skewness Fisher sama dengan momen ketiga terhadap mean dibagi dengan deviasi standar sampel. Oleh karena itu, <strong>rumus koefisien asimetri Fisher<\/strong> adalah:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-224ee5bd016c7e0dd70260d2e9d40c9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\gamma_1=\\frac{\\mu_3}{\\sigma^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"61\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Dengan cara yang sama, salah satu dari dua rumus berikut dapat digunakan untuk menghitung koefisien Fisher:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-17fec004daa41a09c4ec2990d4dcc374_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\gamma_1=\\frac{\\displaystyle \\sum_{i=1}^N\\left(x_i-\\mu\\right)^3}{N\\cdot \\sigma ^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"141\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-92f7c8482d520258f24cc0166d898d1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\gamma_1=\\frac{\\operatorname{E}[X^3] - 3\\mu\\sigma^2 - \\mu^3}{\\sigma^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"188\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Emas<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-638a7387bd72763290cc777a9b509c38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah ekspektasi matematis,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> mean aritmatika,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> simpangan baku dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7354bae77b50b7d1faed3e8ea7a3511a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"N\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> jumlah total data.<\/p>\n<p> Sedangkan jika datanya dikelompokkan dapat menggunakan rumus berikut:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5c26470126d254018437efec48228b8d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\gamma_1=\\frac{\\displaystyle \\sum_{i=1}^N\\left(x_i-\\mu\\right)^3\\cdot f_i}{N\\cdot \\sigma ^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"167\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Dimana dalam hal ini<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> Itu adalah tanda kelas dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fcb89ec1b112c79bfb56f1c210f6bb67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f_i\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p> frekuensi absolut kursus.<\/p>\n<p> Setelah nilainya dihitung, interpretasi koefisien asimetri Fisher adalah sebagai berikut:<\/p>\n<ul>\n<li> Jika koefisien skewness Fisher bernilai positif, maka distribusinya pun skew positif.<\/li>\n<li> Jika koefisien skewness Fisher bernilai negatif, maka distribusinya juga skewness negatif.<\/li>\n<li> <span style=\"font-size: 1rem; font-weight: inherit;\">Jika distribusinya simetris, koefisien asimetri Fisher sama dengan nol. Hal sebaliknya<\/span> tidak benar, artinya fakta bahwa koefisien Fisher sama dengan nol tidak selalu berarti bahwa distribusinya simetris. <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"coeficiente-de-asimetria-de-pearson\"><\/span> Koefisien asimetri Pearson<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Koefisien skewness Pearson sama dengan selisih antara mean sampel dan modus dibagi dengan deviasi standarnya (atau deviasi standar). Oleh karena itu, <strong>rumus koefisien asimetri Pearson<\/strong> adalah sebagai berikut:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c8f46cbf70a6a496ac36355ebfd70827_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A_p=\\cfrac{\\mu-Mo}{\\sigma}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"108\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Emas<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-605ba5e37ad8f2e92b2248f02c3a090f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A_p\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"20\" style=\"vertical-align: -6px;\"><\/p>\n<p> adalah koefisien Pearson,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> mean aritmatika,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-56c0033b7da6d7997aeec99c3967c421_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Mo\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" style=\"vertical-align: 0px;\"><\/p>\n<p> mode dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> deviasi standar.<\/p>\n<p> Perlu diingat bahwa koefisien skewness Pearson hanya dapat dihitung jika distribusinya unimodal, yaitu jika hanya terdapat satu mode dalam data.<\/p>\n<p> Dalam beberapa buku statistik, koefisien skewness Pearson dihitung menggunakan median dan bukan modus, namun umumnya rumus di atas yang digunakan.<\/p>\n<p> Setelah koefisien asimetri Pearson dihitung, nilainya harus diinterpretasikan menurut aturan berikut:<\/p>\n<ul>\n<li> Jika koefisien skewness Pearson positif berarti distribusinya skewed positif.<\/li>\n<li> Jika koefisien kemiringan Pearson negatif, berarti distribusinya miring negatif.<\/li>\n<li> Jika koefisien skewness Pearson sama dengan nol, berarti distribusinya simetris. <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"coeficiente-de-asimetria-de-bowley\"><\/span> Koefisien asimetri Bowley<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Koefisien skewness Bowley<\/strong> sama dengan jumlah kuartil ketiga ditambah kuartil pertama dikurangi dua kali median dibagi selisih antara kuartil ketiga dan kuartil pertama. Oleh karena itu rumus koefisien asimetri ini adalah sebagai berikut:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-24abc41ba1a786517a247ed5fa9c3b62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A_B=\\cfrac{Q_3+Q_1-2\\cdot Me}{Q_3-Q_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"187\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Emas<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-2744445ab7dd299c95ac769e920ad8c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: -4px;\"><\/p>\n<p> Dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-cbf298d83b612ef6bc223927f80f4431_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_3\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"21\" style=\"vertical-align: -4px;\"><\/p>\n<p> Ini masing-masing adalah kuartil pertama dan ketiga dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bf2deabe8920b42ebbefee4f63393db1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Me\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah median distribusi.<\/p>\n<p> Ingatlah bahwa median suatu distribusi bertepatan dengan kuartil kedua. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <a href=\"https:\/\/statorials.org\/id\/kuartil\/\">cara mencari kuartil<\/a><\/div>\n<p> Interpretasi koefisien Bowley dilakukan dengan cara yang sama seperti dua jenis koefisien asimetri sebelumnya:<\/p>\n<ul>\n<li> Jika koefisien skewness Bowley positif, maka distribusinya juga skew positif.<\/li>\n<li> Jika koefisien skewness Bowley bernilai negatif, maka distribusinya juga memiliki skewness negatif.<\/li>\n<li> Jika koefisien skewness Bowley adalah nol, maka distribusinya simetris.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Artikel ini menjelaskan apa itu koefisien asimetri, cara menghitungnya, dan cara menafsirkannya. Secara khusus, Anda akan menemukan cara menghitung tiga jenis koefisien asimetri yang paling banyak digunakan dalam statistik. Berapa koefisien asimetrinya? Dalam statistik, koefisien asimetri adalah koefisien yang memungkinkan Anda menghitung asimetri suatu distribusi. Artinya, koefisien skewness digunakan untuk menentukan apakah suatu fungsi memiliki [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Koefisien kemiringan (jenis dan rumus)<\/title>\n<meta name=\"description\" content=\"Di sini Anda akan mengetahui apa itu koefisien skewness dan bagaimana berbagai jenis koefisien skewness (rumus) dihitung.\" \/>\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\/id\/koefisien-asimetri\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Koefisien kemiringan (jenis dan rumus)\" \/>\n<meta property=\"og:description\" content=\"Di sini Anda akan mengetahui apa itu koefisien skewness dan bagaimana berbagai jenis koefisien skewness (rumus) dihitung.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/koefisien-asimetri\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-05T02:05:59+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/statistiques-types-dasymetrie.png\" \/>\n<meta name=\"author\" content=\"Benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/koefisien-asimetri\/\",\"url\":\"https:\/\/statorials.org\/id\/koefisien-asimetri\/\",\"name\":\"\u25b7 Koefisien kemiringan (jenis dan rumus)\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-08-05T02:05:59+00:00\",\"dateModified\":\"2023-08-05T02:05:59+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Di sini Anda akan mengetahui apa itu koefisien skewness dan bagaimana berbagai jenis koefisien skewness (rumus) dihitung.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/koefisien-asimetri\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/koefisien-asimetri\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/koefisien-asimetri\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Koefisien asimetri\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/id\/#website\",\"url\":\"https:\/\/statorials.org\/id\/\",\"name\":\"Statorials\",\"description\":\"Panduan anda untuk kompetensi statistik!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/id\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"id\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\",\"name\":\"Benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin anderson\"},\"description\":\"Halo, saya Benjamin, pensiunan profesor statistika yang menjadi guru Statorial yang berdedikasi. 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