{"id":130,"date":"2023-08-05T03:57:15","date_gmt":"2023-08-05T03:57:15","guid":{"rendered":"https:\/\/statorials.org\/id\/jenis-asimetri\/"},"modified":"2023-08-05T03:57:15","modified_gmt":"2023-08-05T03:57:15","slug":"jenis-asimetri","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/jenis-asimetri\/","title":{"rendered":"Jenis asimetri"},"content":{"rendered":"<p>Pada artikel ini Anda akan mempelajari berapa banyak jenis asimetri yang ada dalam statistik. Dengan demikian, setiap jenis asimetri dijelaskan dengan contoh dan, sebagai tambahan, Anda akan dapat melihat bagaimana asimetri suatu distribusi dihitung. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcuales-son-los-tipos-de-asimetria\"><\/span> Apa saja jenis-jenis asimetri?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Dalam statistik, ada tiga <strong>jenis asimetri<\/strong> :<\/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 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> Setiap jenis asimetri dijelaskan lebih detail di bawah.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"asimetria-positiva\"><\/span> asimetri positif<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Jika suatu distribusi mempunyai <strong>kemiringan positif<\/strong> , berarti grafiknya memiliki ekor kanan yang lebih panjang daripada ekor kiri. Artinya, distribusi mempunyai nilai yang lebih berbeda di sebelah kanan mean. <\/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=\"asimetri positif\" class=\"wp-image-2687\" width=\"271\" height=\"270\" srcset=\"\" sizes=\"\"><\/figure>\n<p> Kurva pada contoh sebelumnya bersifat asimetris positif karena terdapat lebih banyak nilai di sebelah kanan mean daripada di sebelah kiri. Seperti yang dapat Anda lihat dari grafik, bilah yang ditunjukkan dalam warna hijau jauh lebih besar dibandingkan bilah oranye.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"asimetria-negativa\"><\/span> asimetri negatif<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Dalam statistik, suatu distribusi dikatakan memiliki <strong>kemiringan negatif<\/strong> jika grafiknya memiliki ekor kiri yang lebih panjang daripada ekor kanannya. Artinya, distribusi yang condong negatif berarti mempunyai nilai yang lebih berbeda di sebelah kiri mean. <\/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=\"asimetri negatif\" class=\"wp-image-2702\" width=\"268\" height=\"268\" srcset=\"\" sizes=\"\"><\/figure>\n<p> Jika melihat grafik sebelumnya, terdapat lebih banyak nilai di sebelah kiri mean daripada di sebelah kanan, sehingga kurvanya miring ke negatif.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"simetria\"><\/span> Simetri<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Suatu distribusi dikatakan <strong>simetris<\/strong> jika banyaknya nilai di sebelah kiri mean sama dengan banyaknya nilai di sebelah kanan mean. Oleh karena itu, rata-rata bertindak sebagai sumbu simetri. <\/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\/statistiques-de-symetrie.png\" alt=\"simetri statistik\" class=\"wp-image-2814\" width=\"262\" height=\"262\" srcset=\"\" sizes=\"\"><\/figure>\n<p> Seperti terlihat pada contoh di atas, banyaknya nilai di sebelah kiri mean dari distribusi probabilitas yang diwakili bertepatan dengan banyaknya nilai di sebelah kanan mean, sehingga merupakan distribusi simetris. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-determinar-el-tipo-de-asimetria\"><\/span> Cara menentukan jenis asimetri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Sekarang setelah kita mengetahui berbagai jenis asimetri dalam statistik, mari kita lihat cara mengetahui jenis asimetri yang sesuai dengan distribusi probabilitas.<\/p>\n<p> Secara tradisional dijelaskan bahwa kita dapat mengetahui jenis skewness suatu distribusi berdasarkan hubungan antara mean dan mediannya (apakah lebih besar, setara, atau lebih kecil). Namun, properti ini tidak selalu memuaskan. Jadi, untuk menentukan skewness suatu distribusi, koefisien skewness Fisher harus dihitung.<\/p>\n<p> Koefisien asimetri Fisher dihitung 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-a7c403ee0227e6c36f8c80eaeafba63e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\gamma_1=E\\left[\\left(\\frac{X-\\mu}{\\sigma}\\right)^3 \\right]\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"160\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<p> Atau setara:<\/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 <a href=\"https:\/\/statorials.org\/id\/ekspektasi-matematis-atau-nilai-yang-diharapkan\/\">ekspektasi matematis<\/a> ,<\/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> <a href=\"https:\/\/statorials.org\/id\/rata-rata-aritmatika\/\">mean aritmatika<\/a> 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> <a href=\"https:\/\/statorials.org\/id\/simpangan-baku-atau-simpangan-baku\/\">deviasi standar<\/a> .<\/p>\n<p> Dan setelah koefisien Fisher dihitung, tandanya memungkinkan untuk menentukan jenis asimetri distribusi yang muncul:<\/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 skewness Fisher sama dengan nol (kebalikannya tidak selalu benar).<\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Pada artikel ini Anda akan mempelajari berapa banyak jenis asimetri yang ada dalam statistik. Dengan demikian, setiap jenis asimetri dijelaskan dengan contoh dan, sebagai tambahan, Anda akan dapat melihat bagaimana asimetri suatu distribusi dihitung. Apa saja jenis-jenis asimetri? Dalam statistik, ada tiga jenis asimetri : Kecondongan positif : Distribusi mempunyai nilai yang lebih berbeda di [&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 saja jenis asimetri? 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