{"id":492,"date":"2023-07-29T17:32:33","date_gmt":"2023-07-29T17:32:33","guid":{"rendered":"https:\/\/statorials.org\/pl\/wykresl-rozklad-chi-kwadrat-w-r\/"},"modified":"2023-07-29T17:32:33","modified_gmt":"2023-07-29T17:32:33","slug":"wykresl-rozklad-chi-kwadrat-w-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/wykresl-rozklad-chi-kwadrat-w-r\/","title":{"rendered":"Jak \u0142atwo wykre\u015bli\u0107 rozk\u0142ad chi-kwadrat w r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Aby utworzy\u0107 wykres g\u0119sto\u015bci dla rozk\u0142adu chi-kwadrat w R, mo\u017cemy skorzysta\u0107 z nast\u0119puj\u0105cych funkcji:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>dchisq()<\/strong> w celu utworzenia funkcji g\u0119sto\u015bci prawdopodobie\u0144stwa<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Curve()<\/strong> do wykre\u015blenia funkcji g\u0119sto\u015bci prawdopodobie\u0144stwa<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Wszystko, co musimy zrobi\u0107, aby utworzy\u0107 wykres, to okre\u015bli\u0107 <em>stopnie swobody<\/em> dla <strong>dchisq()<\/strong> oraz punkty <em>wyj\u015bciowe<\/em> i <em>tylne<\/em> dla <strong>curve()<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Na przyk\u0142ad poni\u017cszy kod ilustruje spos\u00f3b tworzenia wykresu g\u0119sto\u015bci dla rozk\u0142adu Chi-kwadrat z 10 stopniami swobody, gdzie o\u015b x wykresu mie\u015bci si\u0119 w przedziale od 0 do 40:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>curve(dchisq(x, df = 10), from = 0, to = 40)\n<\/strong><\/pre>\n<h2> <span style=\"color: #000000;\"><strong>Edycja wykresu g\u0119sto\u015bci<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Mo\u017cemy tak\u017ce edytowa\u0107 wykres g\u0119sto\u015bci, dodaj\u0105c tytu\u0142, zmieniaj\u0105c etykiet\u0119 osi Y, zwi\u0119kszaj\u0105c szeroko\u015b\u0107 linii i zmieniaj\u0105c kolor linii:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>curve(dchisq(x, df = 10), from = 0, to = 40,\n      main = 'Chi-Square Distribution (df = 10)', <span style=\"color: #008080;\">#add title<\/span>\n      ylab = 'Density', <span style=\"color: #008080;\">#change y-axis label<\/span>\n      lwd = 2, <span style=\"color: #008080;\">#increase line width to 2<\/span>\n      col = 'steelblue') <span style=\"color: #008080;\">#change line color to steelblue<\/span><\/strong><\/pre>\n<h2> <span style=\"color: #000000;\"><strong>Wype\u0142nij wykres g\u0119sto\u015bci<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Opr\u00f3cz tworzenia wykresu g\u0119sto\u015bci mo\u017cemy wype\u0142ni\u0107 cz\u0119\u015b\u0107 wykresu za pomoc\u0105 funkcji <strong>wielok\u0105t()<\/strong> w oparciu o warto\u015b\u0107 pocz\u0105tkow\u0105 i ko\u0144cow\u0105.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod demonstruje, jak wype\u0142ni\u0107 cz\u0119\u015b\u0107 g\u0119sto\u015bci wykresu dla warto\u015bci x z zakresu od 10 do 40:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create density curve\n<span style=\"color: #000000;\">curve(dchisq(x, df = 10), from = 0, to = 40,<\/span>\n<span style=\"color: #000000;\">main = 'Chi-Square Distribution (df = 10)',<\/span>\n<span style=\"color: #000000;\">ylab = 'Density',<\/span>\n<span style=\"color: #000000;\">lwd = 2)<\/span>\n\n#create vector of x values<\/span>\nx_vector &lt;- seq(10, 40)\n\n<span style=\"color: #008080;\">#create vector of chi-square density values\n<\/span>p_vector &lt;- dchisq(x_vector, df = 10)\n\n<span style=\"color: #008080;\">#fill in portion of the density plot from 0 to 40\n<\/span>polygon(c(x_vector, rev(x_vector)), c(p_vector, rep(0, length(p_vector))),\n        col = adjustcolor('red', alpha=0.3), border = NA)<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod demonstruje, jak wype\u0142ni\u0107 cz\u0119\u015b\u0107 g\u0119sto\u015bci wykresu dla warto\u015bci x z zakresu od 0 do 10:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create density curve\n<span style=\"color: #000000;\">curve(dchisq(x, df = 10), from = 0, to = 40,<\/span>\n<span style=\"color: #000000;\">main = 'Chi-Square Distribution (df = 10)',<\/span>\n<span style=\"color: #000000;\">ylab = 'Density',<\/span>\n<span style=\"color: #000000;\">lwd = 2)<\/span>\n\n#create vector of x values\n<\/span>x_vector &lt;- seq( <span style=\"color: #800080;\">0, 10<\/span> )\n\n<span style=\"color: #008080;\">#create vector of chi-square density values\n<\/span>p_vector &lt;- dchisq(x_vector, df = 10)\n\n<span style=\"color: #008080;\">#fill in portion of the density plot from 0 to 10\n<\/span>polygon(c(x_vector, rev(x_vector)), c(p_vector, rep(0, length(p_vector))),\n        col = adjustcolor('red', alpha=0.3), border = NA)<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod ilustruje spos\u00f3b wype\u0142nienia cz\u0119\u015bci wykresu g\u0119sto\u015bci dla warto\u015bci x <em>spoza<\/em> \u015brodkowych 95% rozk\u0142adu:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create density curve\n<\/span>curve(dchisq(x, df = 10), from = 0, to = 40,\nmain = 'Chi-Square Distribution (df = 10)',\nylab = 'Density',\nlwd = 2)\n\n<span style=\"color: #008080;\">#find upper and lower values for middle 95% of distribution\n<\/span>lower95 &lt;- qchisq(.025, 10)\nupper95 &lt;- qchisq(.975, 10)\n\n<span style=\"color: #008080;\">#create vector of x values\n<\/span>x_lower95 &lt;- seq(0, lower95)\n\n<span style=\"color: #008080;\">#create vector of chi-square density values\n<\/span>p_lower95 &lt;- dchisq(x_lower95, df = 10)\n\n<span style=\"color: #008080;\">#fill in portion of the density plot from 0 to lower 95% value\n<\/span>polygon(c(x_lower95, rev(x_lower95)), c(p_lower95, rep(0, length(p_lower95))),\n        col = adjustcolor('red', alpha=0.3), border = NA)\n\n<span style=\"color: #008080;\">#create vector of x values\n<\/span>x_upper95 &lt;- seq(upper95, 40)\n\n<span style=\"color: #008080;\">#create vector of chi-square density values\n<\/span>p_upper95 &lt;- dchisq(x_upper95, df = 10)\n\n<span style=\"color: #008080;\">#fill in portion of the density plot for upper 95% value to end of plot\n<\/span>polygon(c(x_upper95, rev(x_upper95)), c(p_upper95, rep(0, length(p_upper95))),\n        col = adjustcolor('red', alpha=0.3), border = NA)<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Na koniec poni\u017cszy kod ilustruje spos\u00f3b wype\u0142nienia cz\u0119\u015bci wykresu g\u0119sto\u015bci dla warto\u015bci x mieszcz\u0105cych si\u0119 <i>w<\/i> \u015brodkowych 95% rozk\u0142adu:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create density curve\n<\/span>curve(dchisq(x, df = 10), from = 0, to = 40,\nmain = 'Chi-Square Distribution (df = 10)',\nylab = 'Density',\nlwd = 2)\n\n<span style=\"color: #008080;\">#find upper and lower values for middle 95% of distribution\n<\/span>lower95 &lt;- qchisq(.025, 10)\nupper95 &lt;- qchisq(.975, 10)\n\n<span style=\"color: #008080;\">#create vector of x values\n<\/span>x_vector &lt;- seq(lower95, upper95)\n\n<span style=\"color: #008080;\">#create vector of chi-square density values\n<\/span>p_vector &lt;- dchisq(x_vector, df = 10)\n\n<span style=\"color: #008080;\">#fill in density plot\n<\/span>polygon(c(x_vector, rev(x_vector)), c(p_vector, rep(0, length(p_vector))),\n        col = adjustcolor('red', alpha=0.3), border = NA)<\/strong><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Aby utworzy\u0107 wykres g\u0119sto\u015bci dla rozk\u0142adu chi-kwadrat w R, mo\u017cemy skorzysta\u0107 z nast\u0119puj\u0105cych funkcji: dchisq() w celu utworzenia funkcji g\u0119sto\u015bci prawdopodobie\u0144stwa Curve() do wykre\u015blenia funkcji g\u0119sto\u015bci prawdopodobie\u0144stwa Wszystko, co musimy zrobi\u0107, aby utworzy\u0107 wykres, to okre\u015bli\u0107 stopnie swobody dla dchisq() oraz punkty wyj\u015bciowe i tylne dla curve() . Na przyk\u0142ad poni\u017cszy kod ilustruje spos\u00f3b tworzenia [&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-492","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>Jak \u0142atwo wykre\u015bli\u0107 rozk\u0142ad chi-kwadrat w R - Statology<\/title>\n<meta name=\"description\" content=\"Proste wyja\u015bnienie, jak wykre\u015bli\u0107 rozk\u0142ad Chi-kwadrat w R.\" \/>\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\/wykresl-rozklad-chi-kwadrat-w-r\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak \u0142atwo wykre\u015bli\u0107 rozk\u0142ad chi-kwadrat w R - Statology\" \/>\n<meta property=\"og:description\" content=\"Proste wyja\u015bnienie, jak wykre\u015bli\u0107 rozk\u0142ad Chi-kwadrat w R.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/wykresl-rozklad-chi-kwadrat-w-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T17:32:33+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=\"3 minuty\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/wykresl-rozklad-chi-kwadrat-w-r\/\",\"url\":\"https:\/\/statorials.org\/pl\/wykresl-rozklad-chi-kwadrat-w-r\/\",\"name\":\"Jak \u0142atwo wykre\u015bli\u0107 rozk\u0142ad chi-kwadrat w R - Statology\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-29T17:32:33+00:00\",\"dateModified\":\"2023-07-29T17:32:33+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"Proste wyja\u015bnienie, jak wykre\u015bli\u0107 rozk\u0142ad Chi-kwadrat w R.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/wykresl-rozklad-chi-kwadrat-w-r\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/wykresl-rozklad-chi-kwadrat-w-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/wykresl-rozklad-chi-kwadrat-w-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak \u0142atwo wykre\u015bli\u0107 rozk\u0142ad chi-kwadrat w r\"}]},{\"@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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