{"id":2965,"date":"2023-07-19T21:02:07","date_gmt":"2023-07-19T21:02:07","guid":{"rendered":"https:\/\/statorials.org\/pl\/rozklad-chi-kwadrat-w-r-dchisq-pchisq-qchisq-rchisq\/"},"modified":"2023-07-19T21:02:07","modified_gmt":"2023-07-19T21:02:07","slug":"rozklad-chi-kwadrat-w-r-dchisq-pchisq-qchisq-rchisq","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/rozklad-chi-kwadrat-w-r-dchisq-pchisq-qchisq-rchisq\/","title":{"rendered":"Rozk\u0142ad chi-kwadrat w r: dchisq, pchisq, qchisq, rchisq"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">W tym samouczku wyja\u015bniono, jak u\u017cywa\u0107 rozk\u0142adu Chi-kwadrat w R przy u\u017cyciu nast\u0119puj\u0105cych funkcji:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>dchisq<\/strong> : Zwraca warto\u015b\u0107 funkcji g\u0119sto\u015bci prawdopodobie\u0144stwa chi-kwadrat.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>pchisq<\/strong> : Zwraca warto\u015b\u0107 funkcji g\u0119sto\u015bci skumulowanej Chi-Square.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>qchisq<\/strong> : zwraca warto\u015b\u0107 funkcji kwantylowej Chi-Square.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>rchisq<\/strong> : generuje wektor zmiennych losowych o rozk\u0142adzie Chi-Square.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Poni\u017csze przyk\u0142ady pokazuj\u0105, jak w praktyce wykorzysta\u0107 ka\u017cd\u0105 z tych funkcji.<\/span><\/p>\n<h2> <strong><span style=\"color: #000000;\">dchisq<\/span><\/strong><\/h2>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Cz\u0119sto u\u017cywamy funkcji <strong>dchisq()<\/strong> w po\u0142\u0105czeniu z funkcj\u0105 <strong>Curve()<\/strong> do wykre\u015blenia rozk\u0142adu Chi-kwadrat z okre\u015blon\u0105 liczb\u0105 stopni swobody.<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">Na przyk\u0142ad mo\u017cemy u\u017cy\u0107 poni\u017cszego kodu do wykre\u015blenia rozk\u0142adu chi-kwadrat z 5 stopniami swobody:<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#plot Chi_Square distribution with 5 degrees of freedom<\/span>\ncurve(dchisq(x, df= <span style=\"color: #008000;\">5<\/span> ), from= <span style=\"color: #008000;\">0<\/span> , to= <span style=\"color: #008000;\">20<\/span> )\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-25700 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chisq1.jpg\" alt=\"\" width=\"441\" height=\"406\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">O\u015b x pokazuje warto\u015bci statystyki testu chi-kwadrat, a o\u015b y pokazuje odpowiedni\u0105 warto\u015b\u0107 funkcji g\u0119sto\u015bci prawdopodobie\u0144stwa.<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Powi\u0105zane:<\/strong> <a href=\"https:\/\/statorials.org\/pl\/wykresl-rozk\u0142ad-chi-kwadrat-w-r\/\" target=\"_blank\" rel=\"noopener\">Jak \u0142atwo wykre\u015bli\u0107 rozk\u0142ad chi-kwadrat w j\u0119zyku R<\/a><\/span><\/p>\n<h2> <strong><span style=\"color: #000000;\">pchisq<\/span><\/strong><\/h2>\n<p> <span style=\"color: #000000;\">Cz\u0119sto u\u017cywamy <strong>pchisq()<\/strong> <b>&nbsp;<\/b> funkcja, aby znale\u017a\u0107 <a href=\"https:\/\/statorials.org\/pl\/p-oznacza-istotnosc-statystyczna\/\" target=\"_blank\" rel=\"noopener\">warto\u015b\u0107 p<\/a> odpowiadaj\u0105c\u0105 danej statystyce testu Chi-kwadrat.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Za\u0142\u00f3\u017cmy na przyk\u0142ad, \u017ce przeprowadzamy <a href=\"https:\/\/statorials.org\/pl\/test-niezaleznosci-chi-kwadrat-w-r\/\" target=\"_blank\" rel=\"noopener\">test niezale\u017cno\u015bci chi-kwadrat<\/a> i otrzymujemy statystyk\u0119 testow\u0105 <sup>X2<\/sup> = 0,86404 przy 2 stopniach swobody.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Mo\u017cemy u\u017cy\u0107 funkcji <strong>pchisq()<\/strong> , aby znale\u017a\u0107 warto\u015b\u0107 p odpowiadaj\u0105c\u0105 tej statystyce testowej:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate p-value for given test statistic with 2 degrees of freedom<\/span>\n1-pchisq(0.86404, df= <span style=\"color: #008000;\">2<\/span> )\n\n[1] 0.6491964\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Warto\u015b\u0107 p wynosi <strong>0,6491964<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Mo\u017cemy r\u00f3wnie\u017c potwierdzi\u0107, \u017ce jest to prawid\u0142owe, u\u017cywaj\u0105c <a href=\"https:\/\/statorials.org\/pl\/kalkulator-wartosci-chi-kwadrat-p\/\" target=\"_blank\" rel=\"noopener\">wsp\u00f3\u0142czynnika chi-kwadrat do kalkulatora warto\u015bci P.<\/a><\/span><\/p>\n<h2> <strong><span style=\"color: #000000;\">co\u015b<\/span><\/strong><\/h2>\n<p> <span style=\"color: #000000;\">Cz\u0119sto u\u017cywamy <strong>qchisq()<\/strong> <b>&nbsp;<\/b> funkcja s\u0142u\u017c\u0105ca do znalezienia krytycznej warto\u015bci chi-kwadrat odpowiadaj\u0105cej danemu poziomowi istotno\u015bci i stopniom swobody.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Na przyk\u0142ad mo\u017cemy u\u017cy\u0107 poni\u017cszego kodu, aby znale\u017a\u0107 krytyczn\u0105 warto\u015b\u0107 chi-kwadrat odpowiadaj\u0105c\u0105 poziomowi istotno\u015bci 0,05 z 13 stopniami swobody:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\">qchisq(p= <span style=\"color: #008000;\">.95<\/span> , df= <span style=\"color: #008000;\">13<\/span> )\n\n[1] 22.36203\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Warto\u015b\u0107 krytyczna okazuje si\u0119 wynosi\u0107 <strong>22,36203<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Mo\u017cemy r\u00f3wnie\u017c potwierdzi\u0107, \u017ce jest to prawid\u0142owe, korzystaj\u0105c z <a href=\"https:\/\/statorials.org\/pl\/kalkulator-wartosci-krytycznej-chi-kwadrat\/\" target=\"_blank\" rel=\"noopener\">kalkulatora warto\u015bci krytycznej chi-kwadrat<\/a> .<\/span><\/p>\n<h2> <strong><span style=\"color: #000000;\">rchisq<\/span><\/strong><\/h2>\n<p> <span style=\"color: #000000;\">Cz\u0119sto u\u017cywamy <strong>rchisq()<\/strong> <b>&nbsp;<\/b> funkcja generuj\u0105ca list\u0119 <em>n<\/em> losowych warto\u015bci, kt\u00f3re maj\u0105 rozk\u0142ad Chi-kwadrat z zadanym stopniem swobody.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Na przyk\u0142ad mo\u017cemy u\u017cy\u0107 poni\u017cszego kodu, aby wygenerowa\u0107 list\u0119 1000 losowych warto\u015bci, kt\u00f3re maj\u0105 rozk\u0142ad Chi-kwadrat z 5 stopniami swobody:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#make this example reproducible<\/span>\nset. <span style=\"color: #3366ff;\">seed<\/span> ( <span style=\"color: #008000;\">0<\/span> ) \n\n<span style=\"color: #008080;\">#generate 1000 random values that follow Chi-Square dist with df=5\n<\/span>values &lt;- rchisq(n= <span style=\"color: #008000;\">1000<\/span> , df= <span style=\"color: #008000;\">5<\/span> )\n\n<span style=\"color: #008080;\">#view first five values<\/span>\nhead(values)\n\n[1] 8.369701 3.130487 1.985623 5.258747 10.578594 6.360859\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Mo\u017cemy r\u00f3wnie\u017c u\u017cy\u0107 funkcji <strong>hist(<\/strong> ) do wygenerowania histogramu w celu wizualizacji tego rozk\u0142adu warto\u015bci:<\/span><\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#create histogram to visualize distribution of values\n<\/span>hist(values)\n<\/span><\/span><\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-25701 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chisq2.jpg\" alt=\"\" width=\"429\" height=\"429\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">O\u015b x pokazuje warto\u015bci danych, a o\u015b y pokazuje cz\u0119stotliwo\u015b\u0107 tych warto\u015bci.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Dodatkowe zasoby<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017csze samouczki wyja\u015bniaj\u0105, jak pracowa\u0107 z innymi dystrybucjami w R:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pl\/dnorm-pnorm-rnorm-qnorm-w-r\/\" target=\"_blank\" rel=\"noopener\">Rozk\u0142ad normalny w R: dnorm, pnorm, qnorm i rnorm<\/a><br \/><a href=\"https:\/\/statorials.org\/pl\/dbinom-pbinom-qbinom-rbinom-w-r\/\" target=\"_blank\" rel=\"noopener\">Rozk\u0142ad dwumianowy w R: dbinom, pbinom, qbinom i rbinom<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/ppois-ppois-qpois-rpois-r\/\" target=\"_blank\" rel=\"noopener\">Rozmieszczenie ryb w R: dpois, ppois, qpois i rpois<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>W tym samouczku wyja\u015bniono, jak u\u017cywa\u0107 rozk\u0142adu Chi-kwadrat w R przy u\u017cyciu nast\u0119puj\u0105cych funkcji: dchisq : Zwraca warto\u015b\u0107 funkcji g\u0119sto\u015bci prawdopodobie\u0144stwa chi-kwadrat. pchisq : Zwraca warto\u015b\u0107 funkcji g\u0119sto\u015bci skumulowanej Chi-Square. qchisq : zwraca warto\u015b\u0107 funkcji kwantylowej Chi-Square. rchisq : generuje wektor zmiennych losowych o rozk\u0142adzie Chi-Square. Poni\u017csze przyk\u0142ady pokazuj\u0105, jak w praktyce wykorzysta\u0107 ka\u017cd\u0105 z [&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-2965","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>Rozk\u0142ad Chi kwadrat w R: dchisq, pchisq, qchisq, rchisq - Statorials<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, jak u\u017cywa\u0107 rozk\u0142adu Chi-kwadrat w R przy u\u017cyciu funkcji dchisq, pchisq, qchisq i rchisq.\" \/>\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\/rozklad-chi-kwadrat-w-r-dchisq-pchisq-qchisq-rchisq\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Rozk\u0142ad Chi kwadrat w R: dchisq, pchisq, qchisq, rchisq - Statorials\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, jak u\u017cywa\u0107 rozk\u0142adu Chi-kwadrat w R przy u\u017cyciu funkcji dchisq, pchisq, qchisq i rchisq.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/rozklad-chi-kwadrat-w-r-dchisq-pchisq-qchisq-rchisq\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-19T21:02:07+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chisq1.jpg\" \/>\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=\"2 minuty\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/rozklad-chi-kwadrat-w-r-dchisq-pchisq-qchisq-rchisq\/\",\"url\":\"https:\/\/statorials.org\/pl\/rozklad-chi-kwadrat-w-r-dchisq-pchisq-qchisq-rchisq\/\",\"name\":\"Rozk\u0142ad Chi kwadrat w R: dchisq, pchisq, qchisq, rchisq - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-19T21:02:07+00:00\",\"dateModified\":\"2023-07-19T21:02:07+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono, jak u\u017cywa\u0107 rozk\u0142adu Chi-kwadrat w R przy u\u017cyciu funkcji dchisq, pchisq, qchisq i rchisq.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/rozklad-chi-kwadrat-w-r-dchisq-pchisq-qchisq-rchisq\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/rozklad-chi-kwadrat-w-r-dchisq-pchisq-qchisq-rchisq\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/rozklad-chi-kwadrat-w-r-dchisq-pchisq-qchisq-rchisq\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Rozk\u0142ad chi-kwadrat w r: dchisq, pchisq, qchisq, rchisq\"}]},{\"@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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