{"id":141,"date":"2023-08-05T00:53:59","date_gmt":"2023-08-05T00:53:59","guid":{"rendered":"https:\/\/statorials.org\/id\/distribusi-asimetris\/"},"modified":"2023-08-05T00:53:59","modified_gmt":"2023-08-05T00:53:59","slug":"distribusi-asimetris","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/distribusi-asimetris\/","title":{"rendered":"Distribusi asimetris"},"content":{"rendered":"<p>Artikel ini menjelaskan apa itu distribusi miring. Anda akan menemukan contoh distribusi skewed dan juga cara menghitung skewness suatu distribusi. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-distribucion-asimetrica\"><\/span> Apa yang dimaksud dengan distribusi miring?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Dalam statistika, <strong>distribusi skewed<\/strong> adalah distribusi yang jumlah nilai di sebelah kiri meannya berbeda dengan jumlah nilai di sebelah kanan mean. Dengan kata lain, distribusi asimetris adalah distribusi yang memiliki asimetri dalam representasi grafisnya.<\/p>\n<p> Ada dua <strong>jenis distribusi asimetris<\/strong> :<\/p>\n<ul>\n<li> <strong>Distribusi miring positif<\/strong> : Distribusi mempunyai nilai yang lebih berbeda di sebelah kanan mean daripada di sebelah kiri.<\/li>\n<li> <strong>Distribusi yang miring secara negatif<\/strong> : Distribusi tersebut memiliki nilai yang lebih berbeda di sebelah kiri mean daripada di sebelah kanannya.<\/li>\n<\/ul>\n<p> Misalnya distribusi eksponensial merupakan distribusi asimetris. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-distribuciones-asimetricas\"><\/span> Contoh distribusi yang miring<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Sekarang setelah kita mengetahui definisi distribusi miring, mari kita lihat beberapa contoh untuk memahami konsep tersebut sepenuhnya.<\/p>\n<p> Pada contoh berikut, Anda dapat melihat distribusi skewed positif karena ekor kanan lebih besar dibandingkan ekor kiri. Dengan kata lain, distribusi mempunyai nilai lebih banyak di sebelah kanan mean daripada di sebelah kiri. <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/asymetrie-positive.png\" alt=\"distribusi miring positif\" class=\"wp-image-2687\" width=\"305\" height=\"304\" srcset=\"\" sizes=\"\"><\/figure>\n<p> Di sisi lain, di bawah ini adalah contoh distribusi yang condong negatif. Distribusi ini mempunyai skewness negatif karena mempunyai nilai lebih banyak di sebelah kiri mean dibandingkan di sebelah kanan. <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/asymetrie-negative.png\" alt=\"\" class=\"wp-image-2702\" width=\"305\" height=\"305\" srcset=\"\" sizes=\"\"><\/figure>\n<p> Selain itu, Anda harus ingat bahwa ada juga distribusi yang simetris. Klik link berikut untuk melihat contoh distribusi simetris: <\/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\/distribusi-simetris-1\/\">distribusi simetris<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-saber-si-una-distribucion-es-asimetrica\"><\/span> Bagaimana cara mengetahui apakah suatu distribusi miring<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Secara tradisional telah dijelaskan bahwa kemiringan suatu distribusi dapat ditentukan berdasarkan hubungan antara mean dan mediannya. Namun, sifat ini tidak selalu benar. Oleh karena itu, koefisien skewness harus dihitung untuk mengetahui seperti apa kurva suatu distribusi.<\/p>\n<p> Oleh karena itu, untuk menentukan apakah suatu distribusi simetris atau tidak, perlu dihitung koefisien asimetri Pearson yang rumusnya 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-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 (statistik) 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> Jadi, bergantung pada tanda koefisien asimetri Pearson, distribusinya akan simetris atau asimetris:<\/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<p> Namun koefisien Pearson hanya dapat dihitung jika distribusinya unimodal, sebaliknya maka perlu menggunakan koefisien asimetri Fisher yang rumusnya 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-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> 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-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> Penafsiran koefisien asimetri Fisher identik dengan koefisien Pearson: jika positif berarti distribusinya asimetris positif, jika negatif maka distribusinya asimetris negatif, dan jika nol berarti distribusinya adalah simetris.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Artikel ini menjelaskan apa itu distribusi miring. Anda akan menemukan contoh distribusi skewed dan juga cara menghitung skewness suatu distribusi. Apa yang dimaksud dengan distribusi miring? Dalam statistika, distribusi skewed adalah distribusi yang jumlah nilai di sebelah kiri meannya berbeda dengan jumlah nilai di sebelah kanan mean. Dengan kata lain, distribusi asimetris adalah distribusi yang [&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 Apa yang dimaksud dengan distribusi asimetris? 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