{"id":431,"date":"2023-07-29T23:07:33","date_gmt":"2023-07-29T23:07:33","guid":{"rendered":"https:\/\/statorials.org\/pl\/kalkulator-skosnosci-i-kurtozy\/"},"modified":"2023-07-29T23:07:33","modified_gmt":"2023-07-29T23:07:33","slug":"kalkulator-skosnosci-i-kurtozy","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/kalkulator-skosnosci-i-kurtozy\/","title":{"rendered":"Kalkulator sko\u015bno\u015bci i kurtozy"},"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>Sko\u015bno\u015b\u0107<\/b> jest miar\u0105 sko\u015bno\u015bci zbioru lub rozk\u0142adu danych. Warto\u015b\u0107 ta mo\u017ce by\u0107 dodatnia lub ujemna. Ujemna sko\u015bno\u015b\u0107 zazwyczaj wskazuje, \u017ce <i>ogon<\/i> znajduje si\u0119 po lewej stronie rozk\u0142adu. Warto\u015b\u0107 dodatnia og\u00f3lnie wskazuje, \u017ce ogon znajduje si\u0119 po prawej stronie.<\/p>\n<p style=\"text-align: left\"> <b>Kurtoza<\/b> jest po prostu miar\u0105 \u201eogona\u201d zbioru lub rozk\u0142adu danych. Wz\u00f3r na kurtoz\u0119 u\u017cywany w tym kalkulatorze jest taki sam jak wz\u00f3r u\u017cywany w programie Excel, kt\u00f3ry pozwala znale\u017a\u0107 tak zwan\u0105 <i>kurtoz\u0119 nadmiern\u0105<\/i> .<\/p>\n<p style=\"text-align: left\"> Aby znale\u017a\u0107 sko\u015bno\u015b\u0107 i kurtoz\u0119 zbioru danych, wystarczy wpisa\u0107 warto\u015bci oddzielone przecinkami w polu poni\u017cej, a nast\u0119pnie klikn\u0105\u0107 przycisk \u201eOblicz\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>Sko\u015bno\u015b\u0107 jest miar\u0105 sko\u015bno\u015bci zbioru lub rozk\u0142adu danych. Warto\u015b\u0107 ta mo\u017ce by\u0107 dodatnia lub ujemna. Ujemna sko\u015bno\u015b\u0107 zazwyczaj wskazuje, \u017ce ogon znajduje si\u0119 po lewej stronie rozk\u0142adu. Warto\u015b\u0107 dodatnia og\u00f3lnie wskazuje, \u017ce ogon znajduje si\u0119 po prawej stronie. Kurtoza jest po prostu miar\u0105 \u201eogona\u201d zbioru lub rozk\u0142adu danych. Wz\u00f3r na kurtoz\u0119 u\u017cywany w tym kalkulatorze [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-431","post","type-post","status-publish","format-standard","hentry","category-przewodnik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Kalkulator sko\u015bno\u015bci i kurtozy - Statologia<\/title>\n<meta name=\"description\" content=\"Kalkulator ten znajduje sko\u015bno\u015b\u0107 i kurtoz\u0119 zbioru danych, kt\u00f3re mierz\u0105 \u201ekszta\u0142t\u201d zbioru danych na r\u00f3\u017cne sposoby.\" \/>\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\/pl\/kalkulator-skosnosci-i-kurtozy\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Kalkulator sko\u015bno\u015bci i kurtozy - Statologia\" \/>\n<meta property=\"og:description\" content=\"Kalkulator ten znajduje sko\u015bno\u015b\u0107 i kurtoz\u0119 zbioru danych, kt\u00f3re mierz\u0105 \u201ekszta\u0142t\u201d zbioru danych na r\u00f3\u017cne sposoby.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/kalkulator-skosnosci-i-kurtozy\/\" \/>\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=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Szacowany czas czytania\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minuta\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/kalkulator-skosnosci-i-kurtozy\/\",\"url\":\"https:\/\/statorials.org\/pl\/kalkulator-skosnosci-i-kurtozy\/\",\"name\":\"Kalkulator sko\u015bno\u015bci i kurtozy - Statologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-29T23:07:33+00:00\",\"dateModified\":\"2023-07-29T23:07:33+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"Kalkulator ten znajduje sko\u015bno\u015b\u0107 i kurtoz\u0119 zbioru danych, kt\u00f3re mierz\u0105 \u201ekszta\u0142t\u201d zbioru danych na r\u00f3\u017cne sposoby.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/kalkulator-skosnosci-i-kurtozy\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/kalkulator-skosnosci-i-kurtozy\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/kalkulator-skosnosci-i-kurtozy\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Kalkulator sko\u015bno\u015bci i kurtozy\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pl\/#website\",\"url\":\"https:\/\/statorials.org\/pl\/\",\"name\":\"Statorials\",\"description\":\"Tw\u00f3j przewodnik po kompetencjach statystycznych!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pl-PL\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\",\"name\":\"Benjamin Anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin Anderson\"},\"description\":\"Cze\u015b\u0107, jestem Benjamin i jestem emerytowanym profesorem statystyki, kt\u00f3ry zosta\u0142 oddanym nauczycielem Statorials. 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