{"id":434,"date":"2023-07-29T23:07:33","date_gmt":"2023-07-29T23:07:33","guid":{"rendered":"https:\/\/statorials.org\/id\/kalkulator-kemiringan-dan-kurtosis\/"},"modified":"2023-07-29T23:07:33","modified_gmt":"2023-07-29T23:07:33","slug":"kalkulator-kemiringan-dan-kurtosis","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/kalkulator-kemiringan-dan-kurtosis\/","title":{"rendered":"Kalkulator skewness dan kurtosis"},"content":{"rendered":"<p><script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjs\/5.1.1\/math.js\"><\/script><script src=\"https:\/\/cdn.jsdelivr.net\/npm\/jstat@latest\/dist\/jstat.min.js\"><\/script><\/p>\n<style>\n@import url('https:\/\/fonts.googleapis.com\/css?family=Droid+Serif|Raleway');<\/p>\n<p>.axis--y .domain {\n  display: none;\n}<\/p>\n<p>h1 {\ncolor: black;\ntext-align: center;\nmargin-bottom: 0px;\nmargin-top: 15px;\nfont-family: 'Raleway', sans-serif;\n}<\/p>\n<p>p {\ncolor: black;\ntext-align: center;\nmargin-bottom: 15px;\nmargin-top: 15px;\nfont-family: 'Raleway', sans-serif;\n}<\/p>\n<p>#words {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\npadding-left: 100px;\n}<\/p>\n<p>#words_text {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>#words_text_area {\ndisplay:inline-block;\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\npadding-left: 100px;\n}<\/p>\n<p>#calcTitle {\ntext-align: center;\nfont-size: 20px;\nmargin-bottom: 0px;\nfont-family: 'Raleway', serif;\n}<\/p>\n<p>#hr_top {\nwidth: 30%;\nmargin-bottom: 0px;\nborder: none;\nheight: 2px;\ncolor: black;\nbackground-color: black;\n}<\/p>\n<p>#hr_bottom {\nwidth: 30%;\nmargin-top: 15px;\nborder: none;\nheight: 2px;\ncolor: black;\nbackground-color: black;\n}<\/p>\n<p>#words label, input {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n}<\/p>\n<p>    #button {\n      border: 1px solid;\n      border-radius: 10px;\n      margin-top: 20px;\n      padding: 10px 10px;\n      cursor: pointer;\n      outline: none;\n      background-color: white;\n      color: black;\n      font-family: 'Work Sans', sans-serif;\n      border: 1px solid grey;\n      \/* Green *\/\n    }<\/p>\n<p>    #button:hover {\n      background-color: #f6f6f6;\n      border: 1px solid black;\n    }<\/p>\n<p>\t.label_radio {\n\ttext-align: center;\n    }<\/p>\n<p>td, tr, th {\n    border: 1px solid black;\n}\ntable {\n    border-collapse: collapse;\n}\ntd, th {\n    min-width: 50px;\n    height: 21px;\n}\n.table_span_x, .table_span_y {\n    width: 100%;\n    display: block;\n}<\/p>\n<p>#words_table {\ncolor: black;\nfont-family: Raleway;\nmax-width: 350px;\nmargin: 25px auto;\nline-height: 1.75;\npadding-left: 20px;\n}<\/p>\n<p>#summary_table {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\npadding-left: 20px;\n}<\/p>\n<p>    .label_radio {\n\ttext-align: center;\n}<\/p>\n<p>#text_area_input {\n\tpadding: 0 50px;\n}<\/p>\n<p>textarea, textarea:focus {\n\toutline: 1px solid #aeaeae;\n}\n<\/style>\n<div id=\"words_text\">\n<p style=\"text-align: left\"><b>Skewness<\/b> adalah ukuran kemiringan suatu kumpulan data atau distribusi. Nilai ini bisa positif atau negatif. Kemiringan negatif umumnya menunjukkan bahwa <i>ekor<\/i> distribusi berada di sisi kiri. Nilai positif umumnya menunjukkan bahwa ekornya berada di sebelah kanan.<\/p>\n<p style=\"text-align: left\"> <b>Kurtosis<\/b> hanyalah ukuran \u201cekor\u201d dari kumpulan data atau distribusi. Rumus kurtosis yang digunakan kalkulator ini sama dengan rumus yang digunakan di excel, yaitu menemukan apa yang disebut dengan <i>kurtosis berlebihan<\/i> .<\/p>\n<p style=\"text-align: left\"> Untuk mengetahui kemiringan dan kurtosis suatu kumpulan data, cukup masukkan nilai yang dipisahkan koma pada kotak di bawah, lalu klik tombol \u201cHitung\u201d. <\/p>\n<\/div>\n<div id=\"words_text\">\n<div id=\"text_area_input\"><textarea id=\"input_data\" name=\"input_data\" rows=\"5\" cols=\"40\"><\/textarea><\/div>\n<\/div>\n<div id=\"words\"><input type=\"button\" id=\"button\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div>\n<p><span id=\"skewness\"><\/span><\/p>\n<\/div>\n<div>\n<p><span id=\"kurtosis\"><\/span><\/p>\n<\/div>\n<p><script><\/p>\n<p>\/\/define addition function\n\tfunction add(a, b) {\n\t    return a + b;\n\t}<\/p>\n<p>\/\/create function that performs t test calculations\nfunction calc() {<\/p>\n<p>\/\/get user input data\t\nvar input_data = document.getElementById('input_data').value.match(\/\\d+\/g).map(Number);<\/p>\n<p>\/\/find summary statistics\nvar n = input_data.length;\nvar total_mean = math.mean(input_data);\nvar total_var = math.var(input_data)\nvar total_sd = Math.sqrt(total_var);<\/p>\n<p>\/\/calculate skewness\nvar term1 = n \/ ( (n-1)*(n-2) );\nvar term2 = (input_data.map(function(x) { return Math.pow((x-total_mean) \/ total_sd, 3); })).reduce(add, 0)\nvar skewness = term1 * term2;<\/p>\n<p>\/\/calculate kurtosis\nvar term1 = ( n*(n+1) ) \/ ( (n-1)*(n-2)*(n-3) );\nvar term2 = ( (input_data.map(function(x) { return Math.pow(x-total_mean, 4); })).reduce(add, 0) ) \/ ( Math.pow(total_var, 2) );\nvar term3 = ( 3 * (Math.pow(n-1, 2)) ) \/ ( (n-2)*(n-3) );\nvar kurtosis = term1 * term2 - term3;<\/p>\n<p>\/\/output results \ndocument.getElementById('skewness').innerHTML = \"Skewness: \" + skewness.toFixed(5);\ndocument.getElementById('kurtosis').innerHTML = \"Kurtosis: \" + kurtosis.toFixed(5);<\/p>\n<p>}<\/p>\n<p><\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Skewness adalah ukuran kemiringan suatu kumpulan data atau distribusi. Nilai ini bisa positif atau negatif. Kemiringan negatif umumnya menunjukkan bahwa ekor distribusi berada di sisi kiri. Nilai positif umumnya menunjukkan bahwa ekornya berada di sebelah kanan. Kurtosis hanyalah ukuran \u201cekor\u201d dari kumpulan data atau distribusi. Rumus kurtosis yang digunakan kalkulator ini sama dengan rumus 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":[11],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Kalkulator Skewness dan Kurtosis - Statologi<\/title>\n<meta name=\"description\" content=\"Kalkulator ini menemukan kemiringan dan kurtosis suatu kumpulan data, yang keduanya mengukur &quot;bentuk&quot; kumpulan data dengan cara yang berbeda.\" \/>\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\/kalkulator-kemiringan-dan-kurtosis\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Kalkulator Skewness dan Kurtosis - Statologi\" \/>\n<meta property=\"og:description\" content=\"Kalkulator ini menemukan kemiringan dan kurtosis suatu kumpulan data, yang keduanya mengukur &quot;bentuk&quot; kumpulan data dengan cara yang berbeda.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/kalkulator-kemiringan-dan-kurtosis\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T23:07:33+00:00\" \/>\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<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/kalkulator-kemiringan-dan-kurtosis\/\",\"url\":\"https:\/\/statorials.org\/id\/kalkulator-kemiringan-dan-kurtosis\/\",\"name\":\"Kalkulator Skewness dan Kurtosis - Statologi\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-29T23:07:33+00:00\",\"dateModified\":\"2023-07-29T23:07:33+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Kalkulator ini menemukan kemiringan dan kurtosis suatu kumpulan data, yang keduanya mengukur &quot;bentuk&quot; kumpulan data dengan cara yang berbeda.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/kalkulator-kemiringan-dan-kurtosis\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/kalkulator-kemiringan-dan-kurtosis\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/kalkulator-kemiringan-dan-kurtosis\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Kalkulator skewness dan kurtosis\"}]},{\"@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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