{"id":1063,"date":"2023-07-27T19:30:41","date_gmt":"2023-07-27T19:30:41","guid":{"rendered":"https:\/\/statorials.org\/tr\/artik-standart-hata-r\/"},"modified":"2023-07-27T19:30:41","modified_gmt":"2023-07-27T19:30:41","slug":"artik-standart-hata-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/artik-standart-hata-r\/","title":{"rendered":"R&#39;de art\u0131k standart hata nas\u0131l hesaplan\u0131r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">R&#8217;ye do\u011frusal bir regresyon modeli yerle\u015ftirdi\u011fimizde model a\u015fa\u011f\u0131daki formu al\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Y = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> X + \u2026 + \u03b2 <sub>ben<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\">burada \u03f5 X&#8217;ten ba\u011f\u0131ms\u0131z bir hata terimidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">X, Y&#8217;nin de\u011ferlerini tahmin etmek i\u00e7in nas\u0131l kullan\u0131l\u0131rsa kullan\u0131ls\u0131n, modelde her zaman rastgele hata olacakt\u0131r. Bu rastgele hatan\u0131n da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7menin bir yolu, art\u0131klar\u0131n (\u03f5) standart sapmas\u0131n\u0131 \u00f6l\u00e7menin bir yolu olan <strong>art\u0131k standart hatay\u0131<\/strong> kullanmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir regresyon modelinin art\u0131k standart hatas\u0131 \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Art\u0131k standart hata = \u221a <span style=\"border-top: 1px solid black;\">SS <sub>art\u0131klar\u0131<\/sub> \/ df <sub>art\u0131klar\u0131<\/sub><\/span><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><sub>Art\u0131klar<\/sub> SS<\/strong> : Kalan kareler toplam\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>art\u0131k<\/sub> df<\/strong> : art\u0131k serbestlik dereceleri, n \u2013 k \u2013 1 olarak hesaplan\u0131r; burada n = toplam g\u00f6zlem say\u0131s\u0131 ve k = toplam model parametre say\u0131s\u0131.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">R&#8217;deki bir regresyon modelinin art\u0131k standart hatas\u0131n\u0131 hesaplamak i\u00e7in kullanabilece\u011fimiz \u00fc\u00e7 y\u00f6ntem vard\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Y\u00f6ntem 1: Model \u00f6zetini analiz edin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Art\u0131k standart hatay\u0131 elde etmenin ilk yolu, basit\u00e7e bir do\u011frusal regresyon modeli uydurmak ve ard\u0131ndan model sonu\u00e7lar\u0131n\u0131 elde etmek i\u00e7in <strong>Summary()<\/strong> komutunu kullanmakt\u0131r. Ard\u0131ndan \u00e7\u0131kt\u0131n\u0131n alt k\u0131sm\u0131nda &#8220;kalan standart hata&#8221;y\u0131 aray\u0131n:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load built-in <em>mtcars<\/em> dataset<\/span>\ndata(mtcars)\n\n<span style=\"color: #008080;\">#fit regression model\n<\/span>model &lt;- lm(mpg~disp+hp, data=mtcars)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(model)\n\nCall:\nlm(formula = mpg ~ disp + hp, data = mtcars)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-4.7945 -2.3036 -0.8246 1.8582 6.9363 \n\nCoefficients:\n             Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 30.735904 1.331566 23.083 &lt; 2nd-16 ***\navailable -0.030346 0.007405 -4.098 0.000306 ***\nhp -0.024840 0.013385 -1.856 0.073679 .  \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: <span style=\"color: #008000;\">3.127<\/span> on 29 degrees of freedom\nMultiple R-squared: 0.7482, Adjusted R-squared: 0.7309 \nF-statistic: 43.09 on 2 and 29 DF, p-value: 2.062e-09<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Art\u0131k standart hatan\u0131n <strong>3,127<\/strong> oldu\u011funu g\u00f6rebiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Y\u00f6ntem 2: Basit Bir Form\u00fcl Kullan\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Art\u0131k standart hatay\u0131 (RSE) elde etmenin ba\u015fka bir yolu da do\u011frusal bir regresyon modeli uydurmak ve ard\u0131ndan RSE&#8217;yi hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanmakt\u0131r:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>sqrt( <span style=\"color: #3366ff;\">deviance<\/span> (model)\/df. <span style=\"color: #3366ff;\">residual<\/span> (model))\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bu form\u00fcl\u00fcn R&#8217;de nas\u0131l uygulanaca\u011f\u0131 a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load built-in <em>mtcars<\/em> dataset<\/span>\ndata(mtcars)\n\n<span style=\"color: #008080;\">#fit regression model\n<\/span>model &lt;- lm(mpg~disp+hp, data=mtcars)\n\n<span style=\"color: #008080;\">#calculate residual standard error\n<\/span>sqrt( <span style=\"color: #3366ff;\">deviance<\/span> (model)\/df. <span style=\"color: #3366ff;\">residual<\/span> (model))\n\n[1] 3.126601\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Art\u0131k standart hatan\u0131n <strong>3,126601<\/strong> oldu\u011funu g\u00f6rebiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Y\u00f6ntem 3: Ad\u0131m ad\u0131m form\u00fcl kullan\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Art\u0131k standart hatay\u0131 elde etmenin ba\u015fka bir yolu, do\u011frusal bir regresyon modeli uygulamak ve ard\u0131ndan RSE form\u00fcl\u00fcn\u00fcn her bir bile\u015fenini hesaplamak i\u00e7in ad\u0131m ad\u0131m bir yakla\u015f\u0131m kullanmakt\u0131r:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load built-in <em>mtcars<\/em> dataset<\/span>\ndata(mtcars)\n\n<span style=\"color: #008080;\">#fit regression model\n<\/span>model &lt;- lm(mpg~disp+hp, data=mtcars)\n\n<span style=\"color: #008080;\">#calculate the number of model parameters - 1\n<\/span>k=length(model$ <span style=\"color: #3366ff;\">coefficients<\/span> )-1\n\n<span style=\"color: #008080;\">#calculate sum of squared residuals<\/span>\nSSE=sum(model$ <span style=\"color: #3366ff;\">residuals<\/span> **2)\n\n<span style=\"color: #008080;\">#calculate total observations in dataset<\/span>\nn=length(model$ <span style=\"color: #3366ff;\">residuals<\/span> )\n\n<span style=\"color: #008080;\">#calculate residual standard error<\/span>\nsqrt(SSE\/(n-(1+k)))\n\n[1] 3.126601\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Art\u0131k standart hatan\u0131n <strong>3,126601<\/strong> oldu\u011funu g\u00f6rebiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Art\u0131k standart hata nas\u0131l yorumlan\u0131r?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha \u00f6nce de belirtildi\u011fi gibi, art\u0131k standart hata (RSE), bir regresyon modelinde art\u0131klar\u0131n standart sapmas\u0131n\u0131 \u00f6l\u00e7menin bir yoludur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">CSR de\u011feri ne kadar d\u00fc\u015f\u00fck olursa, model verilere o kadar iyi uyum sa\u011flayabilir (ancak <a href=\"https:\/\/statorials.org\/tr\/makine-ogrenimi-asiri-uyumu\/\" target=\"_blank\" rel=\"noopener noreferrer\">a\u015f\u0131r\u0131 uyum<\/a> konusunda dikkatli olun). Bu, hangi modelin verilere en iyi \u015fekilde uydu\u011funu belirlemek i\u00e7in iki veya daha fazla modeli kar\u015f\u0131la\u015ft\u0131r\u0131rken kullan\u0131lacak yararl\u0131 bir \u00f6l\u00e7\u00fcm olabilir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/artik-standart-hatanin-nasil-yorumlanacagi\/\">Art\u0131k standart hata nas\u0131l yorumlan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">R&#8217;de \u00e7oklu do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rde-model-performansi-icin-capraz-dogrulamanin-nasil-yapilacagi\/\" target=\"_blank\" rel=\"noopener noreferrer\">R&#8217;de model performans\u0131 i\u00e7in \u00e7apraz do\u011frulama nas\u0131l yap\u0131l\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/r-cinsinden-standart-sapma\/\" target=\"_blank\" rel=\"noopener noreferrer\">R&#8217;de standart sapma nas\u0131l hesaplan\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>R&#8217;ye do\u011frusal bir regresyon modeli yerle\u015ftirdi\u011fimizde model a\u015fa\u011f\u0131daki formu al\u0131r: Y = \u03b2 0 + \u03b2 1 X + \u2026 + \u03b2 ben burada \u03f5 X&#8217;ten ba\u011f\u0131ms\u0131z bir hata terimidir. X, Y&#8217;nin de\u011ferlerini tahmin etmek i\u00e7in nas\u0131l kullan\u0131l\u0131rsa kullan\u0131ls\u0131n, modelde her zaman rastgele hata olacakt\u0131r. Bu rastgele hatan\u0131n da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7menin bir yolu, art\u0131klar\u0131n (\u03f5) standart [&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-1063","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>R - Statorials&#039;ta art\u0131k standart hata nas\u0131l hesaplan\u0131r?<\/title>\n<meta name=\"description\" content=\"Bir \u00f6rnek de dahil olmak \u00fczere, R&#039;deki bir regresyon modeli i\u00e7in art\u0131k standart hatan\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair basit bir a\u00e7\u0131klama.\" \/>\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\/tr\/artik-standart-hata-r\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R - Statorials&#039;ta art\u0131k standart hata nas\u0131l hesaplan\u0131r?\" \/>\n<meta property=\"og:description\" content=\"Bir \u00f6rnek de dahil olmak \u00fczere, R&#039;deki bir regresyon modeli i\u00e7in art\u0131k standart hatan\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair basit bir a\u00e7\u0131klama.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/artik-standart-hata-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T19:30:41+00:00\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/artik-standart-hata-r\/\",\"url\":\"https:\/\/statorials.org\/tr\/artik-standart-hata-r\/\",\"name\":\"R - Statorials&#39;ta art\u0131k standart hata nas\u0131l hesaplan\u0131r?\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-27T19:30:41+00:00\",\"dateModified\":\"2023-07-27T19:30:41+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bir \u00f6rnek de dahil olmak \u00fczere, R&#39;deki bir regresyon modeli i\u00e7in art\u0131k standart hatan\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair basit bir a\u00e7\u0131klama.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/artik-standart-hata-r\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/artik-standart-hata-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/artik-standart-hata-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"R&#39;de art\u0131k standart hata nas\u0131l hesaplan\u0131r\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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