{"id":743,"date":"2023-07-28T21:55:05","date_gmt":"2023-07-28T21:55:05","guid":{"rendered":"https:\/\/statorials.org\/pl\/kalkulator-testowy-ta-dwie-probki\/"},"modified":"2023-07-28T21:55:05","modified_gmt":"2023-07-28T21:55:05","slug":"kalkulator-testowy-ta-dwie-probki","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/kalkulator-testowy-ta-dwie-probki\/","title":{"rendered":"Kalkulator testu t dla dw\u00f3ch pr\u00f3bek"},"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 {\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 {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\npadding-left: 100px;\n}<\/p>\n<p>#words_calc {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\npadding-left: 100px;\n}<\/p>\n<p>#words_calc input {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n    max-height: 35px;\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, #words input {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n    max-height: 35px;\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_output {\ntext-align: center;\n}<\/p>\n<p>#solution_div {\ntext-align: center;\n}<\/p>\n<p>#words_intro {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\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>.text_areas {\ncolor: black;\nfont-family: Raleway;\nmax-width: 350px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>.label_radio {\ntext-align: center;\n}\n<\/style>\n<div id=\"words_intro\"><b>Test t dla dw\u00f3ch pr\u00f3b<\/b> s\u0142u\u017cy do sprawdzenia, czy \u015brednie z dw\u00f3ch populacji s\u0105 r\u00f3wne, czy nie.<\/div>\n<div id=\"words_intro\"> Ten typ testu zak\u0142ada, \u017ce dwie pr\u00f3bki maj\u0105 r\u00f3wne wariancje. Je\u015bli nie, powiniene\u015b zamiast tego u\u017cy\u0107 <a href=\"https:\/\/statorials.org\/pl\/kalkulator-testu-welchsa\/\" target=\"_blank\" rel=\"noopener\">kalkulatora testu t Welcha<\/a> .<\/div>\n<div id=\"words_intro\"> Aby wykona\u0107 test t dla dw\u00f3ch pr\u00f3bek, wystarczy wpisa\u0107 poni\u017csze informacje, a nast\u0119pnie klikn\u0105\u0107 przycisk \u201eOblicz\u201d.<\/div>\n<div id=\"words\"> <label class=\"label_radio\" for=\"raw\">Wprowad\u017a surowe dane<\/label><input type=\"radio\" id=\"raw\" name=\"tails\" onclick=\"check()\" checked=\"\"> <label class=\"label_radio\" for=\"summary\">Wprowad\u017a dane podsumowuj\u0105ce<\/label> <input type=\"radio\" id=\"summary\" name=\"tails\" onclick=\"check()\"><\/div>\n<div id=\"words_table\">\n<div class=\"text_areas\">\n<p style=\"text-align:center\"> <b>Pr\u00f3bka 1<\/b><\/p>\n<p><textarea id=\"rawData1\" rows=\"5\" cols=\"40\"> 301, 298, 295, 297, 304, 305, 309, 298, 291, 299, 293, 304<\/textarea><\/p>\n<\/div>\n<div class=\"text_areas\">\n<p style=\"text-align:center\"> <b>Pr\u00f3bka 2<\/b><\/p>\n<p><textarea id=\"rawData2\" rows=\"5\" cols=\"40\"> 302, 309, 324, 313, 312, 310, 305, 298, 299, 300, 289, 294<\/textarea><\/p>\n<\/div>\n<\/div>\n<div id=\"summary_table\">\n<div id=\"words\"> <label><b><span style=\"text-decoration:overline\">x<\/span> <sub>1<\/sub><\/b> (\u015brednia z pr\u00f3bki 1)<\/label><input type=\"number\" id=\"x1\" value=\"300\"><\/div>\n<div id=\"words\"> <label><b>s <sub>1<\/sub><\/b> (odchylenie standardowe pr\u00f3bki 1)<\/label><input type=\"number\" id=\"s1\" value=\"18.5\"><\/div>\n<div id=\"words\"> <label><b>n <sub>1<\/sub><\/b> (rozmiar pr\u00f3bki 1)<\/label><input type=\"number\" id=\"n1\" value=\"40\"><\/div>\n<div id=\"words\"> <label><b><span style=\"text-decoration:overline\">x<\/span> <sub>2<\/sub><\/b> (\u015brednia z pr\u00f3bki 2)<\/label><input type=\"number\" id=\"x2\" value=\"305\"><\/div>\n<div id=\"words\"> <label><b>s <sub>2<\/sub><\/b> (odchylenie standardowe pr\u00f3bki 2)<\/label><input type=\"number\" id=\"s2\" value=\"16.7\"><\/div>\n<div id=\"words\"> <label><b>n <sub>2<\/sub><\/b> (rozmiar pr\u00f3bki 2)<\/label> <input type=\"number\" id=\"n2\" value=\"38\"><\/div>\n<\/div>\n<div id=\"words_calc\"><input class=\"input_label_calc\" type=\"button\" id=\"buttonCalc\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div id=\"words\">\n<p> <b>t =<\/b> <span id=\"t\">-1,608761<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> <b>df =<\/b> <span id=\"df\">22<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> <b>warto\u015b\u0107 p (jednostronna) =<\/b> <span id=\"p1\">0,060963<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> <b>warto\u015b\u0107 p (dwustronna) =<\/b> <span id=\"p2\">0,121926<\/span><\/p>\n<\/div>\n<p><script><\/p>\n<p>\/\/set summary table to hidden to start\nvar summary_display = document.getElementById(\"summary_table\");\nsummary_display.style.display = \"none\";<\/p>\n<p>\/\/find which radio button is checked\nfunction check() {\nif (document.getElementById('raw').checked) {\n\tvar table_display = document.getElementById(\"words_table\");\n        table_display.style.display = \"block\";\n        var summary_display = document.getElementById(\"summary_table\");\n        summary_display.style.display = \"none\";\n\t} else {\n\tvar table_display = document.getElementById(\"words_table\");\n        table_display.style.display = \"none\";\n        var summary_display = document.getElementById(\"summary_table\");\n        summary_display.style.display = \"block\";\n\t}<\/p>\n<p>} \/\/end check<\/p>\n<p>\/\/perform one-sample t-test\nfunction calc() {\nif (document.getElementById('summary').checked) {\nvar x1 = +document.getElementById('x1').value;\nvar s1 = +document.getElementById('s1').value;\nvar n1 = +document.getElementById('n1').value;\nvar x2 = +document.getElementById('x2').value;\nvar s2 = +document.getElementById('s2').value;\nvar n2 = +document.getElementById('n2').value;<\/p>\n<p>var df = n1-(-1*n2)-2;\nvar sp = Math.sqrt(((n1-1)*Math.pow(s1,2) - (-1*((n2-1)*Math.pow(s2,2))))\/df);\nvar t = (x1-x2)\/(sp*Math.sqrt(1\/n1 - (-1\/n2)));\nif (t<0) {\nvar p1 = jStat.studentt.cdf(t, df);\nvar p2 = p1*2;\n} else {\nvar p1 = 1-jStat.studentt.cdf(t, df);\nvar p2 = p1*2;\n}\n\ndocument.getElementById('t').innerHTML = t.toFixed(6);\ndocument.getElementById('df').innerHTML = df;\ndocument.getElementById('p1').innerHTML = p1.toFixed(6);\ndocument.getElementById('p2').innerHTML = p2.toFixed(6);\n\t} else {\nvar raw1 = document.getElementById('rawData1').value.split(',').map(Number);\nvar raw2 = document.getElementById('rawData2').value.split(',').map(Number);\nvar x1 = math.mean(raw1)\nvar s1 = math.std(raw1)\nvar n1 = raw1.length;\nvar x2 = math.mean(raw2)\nvar s2 = math.std(raw2)\nvar n2 = raw2.length;\n\nvar df = n1-(-1*n2)-2;\nvar sp = Math.sqrt(((n1-1)*Math.pow(s1,2) - (-1*((n2-1)*Math.pow(s2,2))))\/df);\nvar t = (x1-x2)\/(sp*Math.sqrt(1\/n1 - (-1\/n2)));\nif (t<0) {\nvar p1 = jStat.studentt.cdf(t, df);\nvar p2 = p1*2;\n} else {\nvar p1 = 1-jStat.studentt.cdf(t, df);\nvar p2 = p1*2;\n}\n\ndocument.getElementById('t').innerHTML = t.toFixed(6);\ndocument.getElementById('df').innerHTML = df;\ndocument.getElementById('p1').innerHTML = p1.toFixed(6);\ndocument.getElementById('p2').innerHTML = p2.toFixed(6);\n\t}\n\n\/\/output results\n}\n\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Test t dla dw\u00f3ch pr\u00f3b s\u0142u\u017cy do sprawdzenia, czy \u015brednie z dw\u00f3ch populacji s\u0105 r\u00f3wne, czy nie. Ten typ testu zak\u0142ada, \u017ce dwie pr\u00f3bki maj\u0105 r\u00f3wne wariancje. Je\u015bli nie, powiniene\u015b zamiast tego u\u017cy\u0107 kalkulatora testu t Welcha . Aby wykona\u0107 test t dla dw\u00f3ch pr\u00f3bek, wystarczy wpisa\u0107 poni\u017csze informacje, a nast\u0119pnie klikn\u0105\u0107 przycisk \u201eOblicz\u201d. Wprowad\u017a [&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-743","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 testu t dla dw\u00f3ch pr\u00f3bek - statystyki statystyczne<\/title>\n<meta name=\"description\" content=\"Kalkulator ten przeprowadza test t dla dw\u00f3ch pr\u00f3bek w oparciu o dane 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-testowy-ta-dwie-probki\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Kalkulator testu t dla dw\u00f3ch pr\u00f3bek - statystyki statystyczne\" \/>\n<meta property=\"og:description\" content=\"Kalkulator ten przeprowadza test t dla dw\u00f3ch pr\u00f3bek w oparciu o dane wprowadzone przez u\u017cytkownika.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/kalkulator-testowy-ta-dwie-probki\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T21:55:05+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-testowy-ta-dwie-probki\/\",\"url\":\"https:\/\/statorials.org\/pl\/kalkulator-testowy-ta-dwie-probki\/\",\"name\":\"Kalkulator testu t dla dw\u00f3ch pr\u00f3bek - statystyki statystyczne\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-28T21:55:05+00:00\",\"dateModified\":\"2023-07-28T21:55:05+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"Kalkulator ten przeprowadza test t dla dw\u00f3ch pr\u00f3bek w oparciu o dane wprowadzone przez u\u017cytkownika.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/kalkulator-testowy-ta-dwie-probki\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/kalkulator-testowy-ta-dwie-probki\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/kalkulator-testowy-ta-dwie-probki\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Kalkulator testu t dla dw\u00f3ch pr\u00f3bek\"}]},{\"@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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