{"id":765,"date":"2023-07-28T20:12:24","date_gmt":"2023-07-28T20:12:24","guid":{"rendered":"https:\/\/statorials.org\/pt\/calculadora-de-distribuicao-multinomial\/"},"modified":"2023-07-28T20:12:24","modified_gmt":"2023-07-28T20:12:24","slug":"calculadora-de-distribuicao-multinomial","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/calculadora-de-distribuicao-multinomial\/","title":{"rendered":"Calculadora de distribui\u00e7\u00e3o multinomial"},"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>h1 {\ntext-align: center;\nfont-size: 50px;\nmargin-bottom: 0px;\nfont-family: 'Raleway', serif;\n}<\/p>\n<p>p {\ncolor: black;\nmargin-bottom: 15px;\nmargin-top: 15px;\nfont-family: 'Raleway', sans-serif;\n}<\/p>\n<p>#words {\npadding-left: 30px;\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>#words_summary {\npadding-left: 70px;\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\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_table label, #words_table input {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n}<\/p>\n<p>    #buttonCalc {\n      border: 1px solid;\n      border-radius: 10px;\n      margin-top: 20px;<\/p>\n<p>      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>    #buttonCalc:hover {\n      background-color: #f6f6f6;\n      border: 1px solid black;\n    }<\/p>\n<p>#words_table, #answer, #error_msg {\ncolor: black;\nfont-family: Raleway;\nmax-width: 350px;\nmargin: 25px auto;\nline-height: 1.75;\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>\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    .label_radio {\n\ttext-align: center;\n}<\/p>\n<p>#text_area_input {\n\tpadding-left: 35%;\n\tfloat: left;\n}<\/p>\n<p>svg:not(:root) {\n  overflow: visible;\n}<\/p>\n<p>td input {\n  max-width:80px;\n  max-height:30px;\n}<\/p>\n<\/style>\n<div id=\"words\">\n<p style=\"text-align: left\">A <b><a href=\"https:\/\/statorials.org\/pt\/distribuicao-multinomial-1\/\" target=\"_blank\" rel=\"noopener\">distribui\u00e7\u00e3o multinomial<\/a><\/b> descreve a probabilidade de obter um n\u00famero espec\u00edfico de contagens para <i>k<\/i> resultados diferentes, quando cada resultado tem uma probabilidade fixa de ocorrer.<\/p>\n<p style=\"text-align: left\"> Para calcular essa probabilidade, basta preencher os valores abaixo para at\u00e9 10 resultados e depois clicar no bot\u00e3o \u201cCalcular\u201d:<\/p>\n<p style=\"text-align: left\"> <i><b>Nota:<\/b> A coluna Probabilidade deve totalizar 1.<\/i><\/p>\n<\/div>\n<div id=\"words_table\">\n<table>\n<tbody>\n<tr>\n<th> <b>Resultados<\/b><\/th>\n<th> <b><span>Probabilidade<\/span><\/b><\/th>\n<th> <b><span>Frequ\u00eancia<\/span><\/b><\/th>\n<\/tr>\n<tr>\n<td> Resultado 1 <\/td>\n<td><input type=\"text\" id=\"p1\" value=\"0.3\"><\/td>\n<td><input type=\"text\" id=\"f1\" value=\"2\"><\/td>\n<\/tr>\n<tr>\n<td> Resultado 2 <\/td>\n<td><input type=\"text\" id=\"p2\" value=\"0.5\"><\/td>\n<td><input type=\"text\" id=\"f2\" value=\"4\"><\/td>\n<\/tr>\n<tr>\n<td> Resultado 3 <\/td>\n<td><input type=\"text\" id=\"p3\" value=\"0.2\"><\/td>\n<td><input type=\"text\" id=\"f3\" value=\"1\"><\/td>\n<\/tr>\n<tr>\n<td> Resultado 4<\/td>\n<td><input type=\"text\" id=\"p4\" value=\"\"><\/td>\n<td><input type=\"text\" id=\"f4\" value=\"\"><\/td>\n<\/tr>\n<tr>\n<td> Resultado 5<\/td>\n<td><input type=\"text\" id=\"p5\" value=\"\"><\/td>\n<td><input type=\"text\" id=\"f5\" value=\"\"><\/td>\n<\/tr>\n<tr>\n<td> Resultado 6<\/td>\n<td><input type=\"text\" id=\"p6\"><\/td>\n<td><input type=\"text\" id=\"f6\"><\/td>\n<\/tr>\n<tr>\n<td> Resultado 7<\/td>\n<td><input type=\"text\" id=\"p7\"><\/td>\n<td><input type=\"text\" id=\"f7\"><\/td>\n<\/tr>\n<tr>\n<td> Resultado 8<\/td>\n<td><input type=\"text\" id=\"p8\"><\/td>\n<td><input type=\"text\" id=\"f8\"><\/td>\n<\/tr>\n<tr>\n<td> Resultado 9<\/td>\n<td><input type=\"text\" id=\"p9\"><\/td>\n<td><input type=\"text\" id=\"f9\"><\/td>\n<\/tr>\n<tr>\n<td> Resultado 10<\/td>\n<td><input type=\"text\" id=\"p10\"><\/td>\n<td><input type=\"text\" id=\"f10\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<div id=\"words_table\"><input type=\"button\" id=\"buttonCalc\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div id=\"answer\">\n<p> Probabilidade multinomial: <b><span id=\"p\">0,118125<\/span><\/b><\/p>\n<\/div>\n<div id=\"error_msg\">\n<p> <b>As probabilidades devem totalizar 1. Atualmente totalizam <span id=\"p_sum\">0,359<\/span><\/b><\/p>\n<\/div>\n<p><script><\/p>\n<p>\/\/show answer to start\nvar answer_display = document.getElementById(\"answer\");<\/p>\n<p>\/\/hide error message to start\nvar error_msg_display = document.getElementById(\"error_msg\");\nerror_msg_display.style.display = \"none\";<\/p>\n<p>\/\/define factorial function\nfunction factorial(num)\n{\n    var rval=1;\n    for (var i = 2; i <= num; i++)\n        rval = rval * i;\n    return rval;\n}\n\nfunction calc() {\n\n\/\/get input data\nvar p1 = document.getElementById('p1').value;\nvar p2 = document.getElementById('p2').value;\nvar p3 = document.getElementById('p3').value;\nvar p4 = document.getElementById('p4').value;\nvar p5 = document.getElementById('p5').value;\nvar p6 = document.getElementById('p6').value;\nvar p7 = document.getElementById('p7').value;\nvar p8 = document.getElementById('p8').value;\nvar p9 = document.getElementById('p9').value;\nvar p10 = document.getElementById('p10').value;\n\nvar f1 = document.getElementById('f1').value;\nvar f2 = document.getElementById('f2').value;\nvar f3 = document.getElementById('f3').value;\nvar f4 = document.getElementById('f4').value;\nvar f5 = document.getElementById('f5').value;\nvar f6 = document.getElementById('f6').value;\nvar f7 = document.getElementById('f7').value;\nvar f8 = document.getElementById('f8').value;\nvar f9 = document.getElementById('f9').value;\nvar f10 = document.getElementById('f10').value;\n\nvar p_group = [p1, p2, p3, p4, p5, p6, p7, p8, p9, p10];\nvar f_group = [f1, f2, f3, f4, f5, f6, f7, f8, f9, f10];\nvar p_sum = parseFloat(math.sum(p_group)).toFixed(5);\nvar n = math.sum(f_group);\n\n\/\/do calculations\nif (p_sum == 1) {\n\n  answer_display.style.display = \"block\";\n  error_msg_display.style.display = \"none\";\n\n  var nPORTION = factorial(n);\n  \n  var xFACT = [];\n  for (var i=0; i<f_group.length; i++) {\n    xFACT[i] = factorial(f_group[i]);\n  }\n  var xPORTION = xFACT.reduce((product, n) => product*n, 1);<\/p>\n<p>  var pxFACT = [];\n  for (var j=0; j<f_group.length; j++) {\n    pxFACT[j] = Math.pow(p_group[j], f_group[j]);\n  }\n  var pxPORTION = pxFACT.reduce((product, n) => product*n, 1);<\/p>\n<p>  var p = nPORTION*pxPORTION\/xPORTION;\n  document.getElementById('p').innerHTML = p.toFixed(6);\n}\nelse {\n  answer_display.style.display = \"none\";\n  error_msg_display.style.display = \"block\";\n  document.getElementById('p_sum').innerHTML = p_sum;\n}<\/p>\n<p>} \/\/end massive calc function\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A distribui\u00e7\u00e3o multinomial descreve a probabilidade de obter um n\u00famero espec\u00edfico de contagens para k resultados diferentes, quando cada resultado tem uma probabilidade fixa de ocorrer. Para calcular essa probabilidade, basta preencher os valores abaixo para at\u00e9 10 resultados e depois clicar no bot\u00e3o \u201cCalcular\u201d: Nota: A coluna Probabilidade deve totalizar 1. Resultados Probabilidade Frequ\u00eancia [&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":[],"class_list":["post-765","post","type-post","status-publish","format-standard","hentry","category-guia"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Calculadora de Distribui\u00e7\u00e3o Multinomial - Estatoriais<\/title>\n<meta name=\"description\" content=\"Esta calculadora encontra probabilidades relacionadas \u00e0 distribui\u00e7\u00e3o multinomial, com base nas entradas do usu\u00e1rio.\" \/>\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\/pt\/calculadora-de-distribuicao-multinomial\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Calculadora de Distribui\u00e7\u00e3o Multinomial - Estatoriais\" \/>\n<meta property=\"og:description\" content=\"Esta calculadora encontra probabilidades relacionadas \u00e0 distribui\u00e7\u00e3o multinomial, com base nas entradas do usu\u00e1rio.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/calculadora-de-distribuicao-multinomial\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T20:12:24+00:00\" \/>\n<meta name=\"author\" content=\"Dr. benjamim anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr. benjamim anderson\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/calculadora-de-distribuicao-multinomial\/\",\"url\":\"https:\/\/statorials.org\/pt\/calculadora-de-distribuicao-multinomial\/\",\"name\":\"Calculadora de Distribui\u00e7\u00e3o Multinomial - Estatoriais\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-28T20:12:24+00:00\",\"dateModified\":\"2023-07-28T20:12:24+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Esta calculadora encontra probabilidades relacionadas \u00e0 distribui\u00e7\u00e3o multinomial, com base nas entradas do usu\u00e1rio.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/calculadora-de-distribuicao-multinomial\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/calculadora-de-distribuicao-multinomial\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/calculadora-de-distribuicao-multinomial\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Calculadora de distribui\u00e7\u00e3o multinomial\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pt\/#website\",\"url\":\"https:\/\/statorials.org\/pt\/\",\"name\":\"Statorials\",\"description\":\"O seu guia para a literacia estat\u00edstica!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pt\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pt-PT\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\",\"name\":\"Dr. benjamim anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-PT\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr. benjamim anderson\"},\"description\":\"Ol\u00e1, sou Benjamin, um professor aposentado de estat\u00edstica que se tornou professor dedicado na Statorials. 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