{"id":752,"date":"2023-07-28T21:07:59","date_gmt":"2023-07-28T21:07:59","guid":{"rendered":"https:\/\/statorials.org\/pl\/kalkulator-testu-niezaleznosci-chi-kwadrat\/"},"modified":"2023-07-28T21:07:59","modified_gmt":"2023-07-28T21:07:59","slug":"kalkulator-testu-niezaleznosci-chi-kwadrat","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/kalkulator-testu-niezaleznosci-chi-kwadrat\/","title":{"rendered":"Test chi-kwadrat kalkulatora niezale\u017cno\u015bci"},"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_text label, 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;\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>    #buttonCalc:hover {\n      background-color: #f6f6f6;\n      border: 1px solid black;\n    }<\/p>\n<p>#words_table {\ncolor: black;\nfont-family: Raleway;\nmax-width: 350px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>#words_table_input {\ncolor: black;\nfont-family: Raleway;\nmax-width: 380px;\nmargin-left: 13%;\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}<\/p>\n<p>td {\n    padding: 1px;\n}<\/p>\n<p>table {\n    border-collapse: collapse;\n}<\/p>\n<p>    .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:60px;\n  max-height:30px;\n}<\/p>\n<\/style>\n<div id=\"words\">\n<p style=\"text-align: left\"><b>Test niezale\u017cno\u015bci chi-kwadrat<\/b> s\u0142u\u017cy do okre\u015blenia, czy istnieje istotny zwi\u0105zek mi\u0119dzy dwiema zmiennymi kategorycznymi.<\/p>\n<p style=\"text-align: left\"> Aby wykona\u0107 test niezale\u017cno\u015bci chi-kwadrat, wystarczy wype\u0142ni\u0107 poni\u017csze kom\u00f3rki, aby uzyska\u0107 tabel\u0119 kontyngencji sk\u0142adaj\u0105c\u0105 si\u0119 z maksymalnie 5 wierszy i 5 kolumn. Je\u015bli Tw\u00f3j st\u00f3\u0142 jest mniejszy ni\u017c 5&#215;5, po prostu pozostaw pozosta\u0142e kom\u00f3rki puste. <\/p>\n<\/div>\n<div id=\"words_table_input\">\n<table>\n<tbody>\n<tr style=\"max-height:10px\">\n<th style=\"min-width:120px\"><\/th>\n<th> <b><span>Grupa 1<\/span><\/b><\/th>\n<th> <b><span>Grupa 2<\/span><\/b><\/th>\n<th> <b><span>Grupa 3<\/span><\/b><\/th>\n<th> <b><span>Grupa 4<\/span><\/b><\/th>\n<th> <b><span>Grupa 5<\/span><\/b><\/th>\n<\/tr>\n<tr>\n<td> Kategoria 1 <\/td>\n<td><input type=\"text\" id=\"o11\" value=\"120\"><\/td>\n<td><input type=\"text\" id=\"o12\" value=\"90\"><\/td>\n<td><input type=\"text\" id=\"o13\" value=\"40\"><\/td>\n<td><input type=\"text\" id=\"o14\"><\/td>\n<td><input type=\"text\" id=\"o15\"><\/td>\n<\/tr>\n<tr>\n<td> Kategoria 2 <\/td>\n<td><input type=\"text\" id=\"o21\" value=\"110\"><\/td>\n<td><input type=\"text\" id=\"o22\" value=\"95\"><\/td>\n<td><input type=\"text\" id=\"o23\" value=\"45\"><\/td>\n<td><input type=\"text\" id=\"o24\"><\/td>\n<td><input type=\"text\" id=\"o25\"><\/td>\n<\/tr>\n<tr>\n<td> Kategoria 3 <\/td>\n<td><input type=\"text\" id=\"o31\"><\/td>\n<td><input type=\"text\" id=\"o32\"><\/td>\n<td><input type=\"text\" id=\"o33\"><\/td>\n<td><input type=\"text\" id=\"o34\"><\/td>\n<td><input type=\"text\" id=\"o35\"><\/td>\n<\/tr>\n<tr>\n<td> Kategoria 4 <\/td>\n<td><input type=\"text\" id=\"o41\"><\/td>\n<td><input type=\"text\" id=\"o42\"><\/td>\n<td><input type=\"text\" id=\"o43\"><\/td>\n<td><input type=\"text\" id=\"o44\"><\/td>\n<td><input type=\"text\" id=\"o45\"><\/td>\n<\/tr>\n<tr>\n<td> Kategoria 5 <\/td>\n<td><input type=\"text\" id=\"o51\"><\/td>\n<td><input type=\"text\" id=\"o52\"><\/td>\n<td><input type=\"text\" id=\"o53\"><\/td>\n<td><input type=\"text\" id=\"o54\"><\/td>\n<td><input type=\"text\" id=\"o55\"><\/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=\"words_table\">\n<p> Statystyka testowa x <sup>2<\/sup> : <b><span id=\"X2\">0,864035<\/span><\/b><\/p>\n<\/div>\n<div id=\"words_table\">\n<p> Warto\u015b\u0107 p: <b><span id=\"p\">0,649198<\/span><\/b><\/p>\n<\/div>\n<p><script><\/p>\n<p>function calc() {<\/p>\n<p>\/\/get input data\nvar o11 = document.getElementById('o11').value;\nvar o12 = document.getElementById('o12').value;\nvar o13 = document.getElementById('o13').value;\nvar o14 = document.getElementById('o14').value;\nvar o15 = document.getElementById('o15').value;\nvar o21 = document.getElementById('o21').value;\nvar o22 = document.getElementById('o22').value;\nvar o23 = document.getElementById('o23').value;\nvar o24 = document.getElementById('o24').value;\nvar o25 = document.getElementById('o25').value;\nvar o31 = document.getElementById('o31').value;\nvar o32 = document.getElementById('o32').value;\nvar o33 = document.getElementById('o33').value;\nvar o34 = document.getElementById('o34').value;\nvar o35 = document.getElementById('o35').value;\nvar o41 = document.getElementById('o41').value;\nvar o42 = document.getElementById('o42').value;\nvar o43 = document.getElementById('o43').value;\nvar o44 = document.getElementById('o44').value;\nvar o45 = document.getElementById('o45').value;\nvar o51 = document.getElementById('o51').value;\nvar o52 = document.getElementById('o52').value;\nvar o53 = document.getElementById('o53').value;\nvar o54 = document.getElementById('o54').value;\nvar o55 = document.getElementById('o55').value;<\/p>\n<p>var cols = [o11, o12, o13, o14, o15];\nvar colCount = cols.filter(String).length;\nvar rows = [o11, o21, o31, o41, o51];\nvar rowCount = rows.filter(String).length;\nvar df = (colCount-1)*(rowCount-1);<\/p>\n<p>var col1 = [o11, o21, o31, o41, o51];\nvar col2 = [o12, o22, o32, o42, o52];\nvar col3 = [o13, o23, o33, o43, o53];\nvar col4 = [o14, o24, o34, o44, o54];\nvar col5 = [o15, o25, o35, o45, o55];<\/p>\n<p>var row1 = [o11, o12, o13, o14, o15];\nvar row2 = [o21, o22, o23, o24, o25];\nvar row3 = [o31, o32, o33, o34, o35];\nvar row4 = [o41, o42, o43, o44, o45];\nvar row5 = [o51, o52, o53, o54, o55];<\/p>\n<p>var col1sum = math.sum(col1);\nvar col2sum = math.sum(col2);\nvar col3sum = math.sum(col3);\nvar col4sum = math.sum(col4);\nvar col5sum = math.sum(col5);<\/p>\n<p>var row1sum = math.sum(row1);\nvar row2sum = math.sum(row2);\nvar row3sum = math.sum(row3);\nvar row4sum = math.sum(row4);\nvar row5sum = math.sum(row5);<\/p>\n<p>var n = math.sum(row1sum, row2sum, row3sum, row4sum, row5sum);<\/p>\n<p>\/\/do calculations\nvar diff11 = 0;\nif (o11) {\no11 = +o11;\nvar e11 = row1sum*col1sum\/n;\ndiff11 = Math.pow(o11-e11,2) \/ e11;\n}\nvar diff12 = 0;\nif (o12) {\no12 = +o12;\nvar e12 = row1sum*col2sum\/n;\ndiff12 = Math.pow(o12-e12,2) \/ e12;\n}\nvar diff13 = 0;\nif (o13) {\no13 = +o13;\nvar e13 = row1sum*col3sum\/n;\ndiff13 = Math.pow(o13-e13,2) \/ e13;\n}\nvar diff14 = 0;\nif (o14) {\no14 = +o14;\nvar e14 = row1sum*col4sum\/n;\ndiff14 = Math.pow(o14-e14,2) \/ e14;\n}\nvar diff15 = 0;\nif (o15) {\no15 = +o15;\nvar e15 = row1sum*col5sum\/n;\ndiff15 = Math.pow(o15-e15,2) \/ e15;\n}\nvar diff21 = 0;\nif (o21) {\no21 = +o21;\nvar e21 = row2sum*col1sum\/n;\ndiff21 = Math.pow(o21-e21,2) \/ e21;\n}\nvar diff22 = 0;\nif (o22) {\no22 = +o22;\nvar e22 = row2sum*col2sum\/n;\ndiff22 = Math.pow(o22-e22,2) \/ e22;\n}\nvar diff23 = 0;\nif (o23) {\no23 = +o23;\nvar e23 = row2sum*col3sum\/n;\ndiff23 = Math.pow(o23-e23,2) \/ e23;\n}\nvar diff24 = 0;\nif (o24) {\no24 = +o24;\nvar e24 = row2sum*col4sum\/n;\ndiff24 = Math.pow(o24-e24,2) \/ e24;\n}\nvar diff25 = 0;\nif (o25) {\no25 = +o25;\nvar e25 = row2sum*col5sum\/n;\ndiff25 = Math.pow(o25-e25,2) \/ e25;\n}\nvar diff31 = 0;\nif (o31) {\no31 = +o31;\nvar e31 = row3sum*col1sum\/n;\ndiff31 = Math.pow(o31-e31,2) \/ e31;\n}\nvar diff32 = 0;\nif (o32) {\no32 = +o32;\nvar e32 = row3sum*col2sum\/n;\ndiff32 = Math.pow(o32-e32,2) \/ e32;\n}\nvar diff33 = 0;\nif (o33) {\no33 = +o33;\nvar e33 = row3sum*col3sum\/n;\ndiff33 = Math.pow(o33-e33,2) \/ e33;\n}\nvar diff34 = 0;\nif (o34) {\no34 = +o34;\nvar e34 = row3sum*col4sum\/n;\ndiff34 = Math.pow(o34-e34,2) \/ e34;\n}\nvar diff35 = 0;\nif (o35) {\no35 = +o35;\nvar e35 = row3sum*col5sum\/n;\ndiff35 = Math.pow(o35-e35,2) \/ e35;\n}\nvar diff41 = 0;\nif (o41) {\no41 = +o41;\nvar e41 = row4sum*col1sum\/n;\ndiff41 = Math.pow(o41-e41,2) \/ e41;\n}\nvar diff42 = 0;\nif (o42) {\no42 = +o42;\nvar e42 = row4sum*col2sum\/n;\ndiff42 = Math.pow(o42-e42,2) \/ e42;\n}\nvar diff43 = 0;\nif (o43) {\no43 = +o43;\nvar e43 = row4sum*col3sum\/n;\ndiff43 = Math.pow(o43-e43,2) \/ e43;\n}\nvar diff44 = 0;\nif (o44) {\no44 = +o44;\nvar e44 = row4sum*col4sum\/n;\ndiff44 = Math.pow(o44-e44,2) \/ e44;\n}\nvar diff45 = 0;\nif (o45) {\no45 = +o45;\nvar e45 = row4sum*col5sum\/n;\ndiff45 = Math.pow(o45-e45,2) \/ e45;\n}\nvar diff51 = 0;\nif (o51) {\no51 = +o51;\nvar e51 = row5sum*col1sum\/n;\ndiff51 = Math.pow(o51-e51,2) \/ e51;\n}\nvar diff52 = 0;\nif (o52) {\no52 = +o52;\nvar e52 = row5sum*col2sum\/n;\ndiff52 = Math.pow(o52-e52,2) \/ e52;\n}\nvar diff53 = 0;\nif (o53) {\no53 = +o53;\nvar e53 = row5sum*col3sum\/n;\ndiff53 = Math.pow(o53-e53,2) \/ e53;\n}\nvar diff54 = 0;\nif (o54) {\no54 = +o54;\nvar e54 = row5sum*col4sum\/n;\ndiff54 = Math.pow(o54-e54,2) \/ e54;\n}\nvar diff55 = 0;\nif (o55) {\no55 = +o55;\nvar e55 = row5sum*col5sum\/n;\ndiff55 = Math.pow(o55-e55,2) \/ e55;\n}\nconsole.log(o31, o32, o33, e31, e32, e33, diff31, diff32, diff33);\nvar errors = [diff11, diff12, diff13, diff14, diff15, diff21, diff22, diff23, diff24, diff25, diff31, diff32, diff33, diff34, diff35, diff41, diff42, diff43, diff44, diff45, diff51, diff52, diff53, diff54, diff55];\nvar X2 = math.sum(errors);\nvar p = 1-jStat.chisquare.cdf(X2, df);<\/p>\n<p>\/\/output results\ndocument.getElementById('X2').innerHTML = X2.toFixed(6);\ndocument.getElementById('p').innerHTML = p.toFixed(6);<\/p>\n<p>} \/\/end calc function\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Test niezale\u017cno\u015bci chi-kwadrat s\u0142u\u017cy do okre\u015blenia, czy istnieje istotny zwi\u0105zek mi\u0119dzy dwiema zmiennymi kategorycznymi. Aby wykona\u0107 test niezale\u017cno\u015bci chi-kwadrat, wystarczy wype\u0142ni\u0107 poni\u017csze kom\u00f3rki, aby uzyska\u0107 tabel\u0119 kontyngencji sk\u0142adaj\u0105c\u0105 si\u0119 z maksymalnie 5 wierszy i 5 kolumn. Je\u015bli Tw\u00f3j st\u00f3\u0142 jest mniejszy ni\u017c 5&#215;5, po prostu pozostaw pozosta\u0142e kom\u00f3rki puste. Grupa 1 Grupa 2 Grupa 3 [&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-752","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>Test chi-kwadrat kalkulatora niezale\u017cno\u015bci - Statologia<\/title>\n<meta name=\"description\" content=\"Kalkulator ten przeprowadza test niezale\u017cno\u015bci Chi-kwadrat na tabeli kontyngencji w oparciu o dane wej\u015bciowe wprowadzone przez u\u017cytkownika.\" \/>\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-testu-niezaleznosci-chi-kwadrat\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Test chi-kwadrat kalkulatora niezale\u017cno\u015bci - Statologia\" \/>\n<meta property=\"og:description\" content=\"Kalkulator ten przeprowadza test niezale\u017cno\u015bci Chi-kwadrat na tabeli kontyngencji w oparciu o dane wej\u015bciowe wprowadzone przez u\u017cytkownika.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/kalkulator-testu-niezaleznosci-chi-kwadrat\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T21:07:59+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<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/kalkulator-testu-niezaleznosci-chi-kwadrat\/\",\"url\":\"https:\/\/statorials.org\/pl\/kalkulator-testu-niezaleznosci-chi-kwadrat\/\",\"name\":\"Test chi-kwadrat kalkulatora niezale\u017cno\u015bci - Statologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-28T21:07:59+00:00\",\"dateModified\":\"2023-07-28T21:07:59+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"Kalkulator ten przeprowadza test niezale\u017cno\u015bci Chi-kwadrat na tabeli kontyngencji w oparciu o dane wej\u015bciowe wprowadzone przez u\u017cytkownika.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/kalkulator-testu-niezaleznosci-chi-kwadrat\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/kalkulator-testu-niezaleznosci-chi-kwadrat\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/kalkulator-testu-niezaleznosci-chi-kwadrat\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Test chi-kwadrat kalkulatora niezale\u017cno\u015bci\"}]},{\"@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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