{"id":1276,"date":"2023-07-27T01:24:14","date_gmt":"2023-07-27T01:24:14","guid":{"rendered":"https:\/\/statorials.org\/tr\/rdeki-dfbetas\/"},"modified":"2023-07-27T01:24:14","modified_gmt":"2023-07-27T01:24:14","slug":"rdeki-dfbetas","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rdeki-dfbetas\/","title":{"rendered":"R&#39;de dfbetas nas\u0131l hesaplan\u0131r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistikte genellikle farkl\u0131 <a href=\"https:\/\/statorials.org\/tr\/istatistikte-gozlem\/\" target=\"_blank\" rel=\"noopener\">g\u00f6zlemlerin<\/a> regresyon modellerinde ne gibi etkileri oldu\u011funu bilmek isteriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">G\u00f6zlemlerin etkisini hesaplaman\u0131n bir yolu, <strong>DFBETAS<\/strong> olarak bilinen ve bize her bir g\u00f6zlemin kald\u0131r\u0131lmas\u0131n\u0131n her katsay\u0131s\u0131 \u00fczerindeki standartla\u015ft\u0131r\u0131lm\u0131\u015f etkiyi s\u00f6yleyen bir \u00f6l\u00e7\u00fcm kullanmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6l\u00e7\u00fcm bize, belirli bir regresyon modelinde her g\u00f6zlemin her katsay\u0131 tahmini \u00fczerindeki etkisi hakk\u0131nda bir fikir verir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde, R&#8217;deki bir modeldeki her g\u00f6zlem i\u00e7in DFBETAS&#8217;\u0131n nas\u0131l hesaplanaca\u011f\u0131 ve g\u00f6rselle\u015ftirilece\u011fine ili\u015fkin ad\u0131m ad\u0131m bir \u00f6rnek g\u00f6sterilmektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>1. Ad\u0131m: Bir regresyon modeli olu\u015fturun<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0130lk olarak, R&#8217;de yerle\u015fik <strong>mtcars<\/strong> veri k\u00fcmesini kullanarak <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon-r\/\" target=\"_blank\" rel=\"noopener\">\u00e7oklu do\u011frusal regresyon modeli<\/a> olu\u015fturaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit a regression model<\/span>\nmodel &lt;- lm(mpg~disp+hp, data=mtcars)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(model)\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: 3.127 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\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Her g\u00f6zlem i\u00e7in DFBETAS&#8217;\u0131 hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra, modeldeki her g\u00f6zlem i\u00e7in DFBETAS de\u011ferlerini hesaplamak amac\u0131yla yerle\u015fik <strong>dfbetas()<\/strong> fonksiyonunu kullanaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate DFBETAS for each observation in the model\n<\/span>dfbetas &lt;- <span style=\"color: #3366ff;\">as<\/span> . <span style=\"color: #3366ff;\">data<\/span> . <span style=\"color: #3366ff;\">frame<\/span> (dfbetas(model))\n\n<span style=\"color: #008080;\">#display DFBETAS for each observation\n<\/span>dfbetas\n\n                      (Intercept) disp hp\nMazda RX4 -0.1174171253 0.030760632 1.748143e-02\nMazda RX4 Wag -0.1174171253 0.030760632 1.748143e-02\nDatsun 710 -0.1694989349 0.086630144 -3.332781e-05\nHornet 4 Drive 0.0577309674 0.078971334 -8.705488e-02\nHornet Sportabout -0.0204333878 0.237526523 -1.366155e-01\nValiant -0.1711908285 -0.139135639 1.829038e-01\nDuster 360 -0.0312338677 -0.005356209 3.581378e-02\nMerc 240D -0.0312259577 -0.010409922 2.433256e-02\nMerc 230 -0.0865872595 0.016428917 2.287867e-02\nMerc 280 -0.1560683502 0.078667906 -1.911180e-02\nMerc 280C -0.2254489597 0.113639937 -2.760800e-02\nMerc 450SE 0.0022844093 0.002966155 -2.855985e-02\nMerc 450SL 0.0009062022 0.001176644 -1.132941e-02\nMerc 450SLC 0.0041566755 0.005397169 -5.196706e-02\nCadillac Fleetwood 0.0388832216 -0.134511133 7.277283e-02\nLincoln Continental 0.0483781688 -0.121146607 5.326220e-02\nChrysler Imperial -0.1645266331 0.236634429 -3.917771e-02\nFiat 128 0.5720358325 -0.181104179 -1.265475e-01\nHonda Civic 0.3490872162 -0.053660545 -1.326422e-01\nToyota Corolla 0.7367058819 -0.268512348 -1.342384e-01\nToyota Corona -0.2181110386 0.101336902 5.945352e-03\nDodge Challenger -0.0270169005 -0.123610713 9.441241e-02\nAMC Javelin -0.0406785103 -0.141711468 1.074514e-01\nCamaro Z28 0.0390139262 0.012846225 -5.031588e-02\nPontiac Firebird -0.0549059340 0.574544346 -3.689584e-01\nFiat X1-9 0.0565157245 -0.017751582 -1.262221e-02\nPorsche 914-2 0.0839169111 -0.028670987 -1.240452e-02\nLotus Europa 0.3444562478 -0.402678927 2.135224e-01\nFord Pantera L -0.1598854695 -0.094184733 2.320845e-01\nFerrari Dino -0.0343997122 0.248642444 -2.344154e-01\nMaserati Bora -0.3436265545 -0.511285637 7.319066e-01\nVolvo 142E -0.1784974091 0.132692956 -4.433915e-02\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Her g\u00f6zlem i\u00e7in, s\u00f6z konusu g\u00f6zlemi kald\u0131rd\u0131\u011f\u0131m\u0131zda ortaya \u00e7\u0131kan orijin, <em>disp<\/em> de\u011fi\u015fkeni ve <em>hp<\/em> de\u011fi\u015fkeni i\u00e7in katsay\u0131 tahminindeki fark\u0131 g\u00f6rebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Genel olarak, bir g\u00f6zlemin, <em>n&#8217;nin<\/em> g\u00f6zlem say\u0131s\u0131 oldu\u011fu 2\/\u221a <span style=\"text-decoration: overline;\">n<\/span> e\u015fi\u011finden daha b\u00fcy\u00fck bir DBETAS de\u011ferine sahip olmas\u0131 durumunda, belirli bir katsay\u0131n\u0131n tahmini \u00fczerinde g\u00fc\u00e7l\u00fc bir etkiye sahip oldu\u011funu d\u00fc\u015f\u00fcn\u00fcyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnekte e\u015fik <strong>0,3535534<\/strong> olacakt\u0131r:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#find number of observations<\/span>\nn &lt;- <span style=\"color: #3366ff;\">nrow<\/span> (mtcars)\n\n<span style=\"color: #008080;\">#calculate DFBETAS threshold value<\/span>\nthresh &lt;- 2\/ <span style=\"color: #3366ff;\">sqrt<\/span> (n)\n\nthresh\n\n[1] 0.3535534\n<\/strong><\/pre>\n<p> <strong style=\"color: #000000; font-family: Montserrat, sans-serif; font-size: 24px;\">Ad\u0131m 3: DFBETAS&#8217;\u0131 g\u00f6rselle\u015ftirin<\/strong><\/p>\n<p> <span style=\"color: #000000;\">Son olarak, modeldeki her g\u00f6zlem ve her tahminci i\u00e7in DFBETAS de\u011ferini g\u00f6rselle\u015ftirmek \u00fczere grafikler olu\u015fturabiliriz:<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#specify 2 rows and 1 column in plotting region<\/span>\nby(mfrow=c(2,1))\n\n<span style=\"color: #008080;\">#plot DFBETAS for <em>disp<\/em> with threshold lines<\/span>\nplot(dfbetas$disp, type=' <span style=\"color: #008000;\">h<\/span> ')\nabline(h = thresh, lty = 2)\nabline(h = -thresh, lty = 2)\n\n<span style=\"color: #008080;\">#plot DFBETAS for <em>hp<\/em> with threshold lines<\/span> \nplot(dfbetas$hp, type=' <span style=\"color: #008000;\">h<\/span> ')\nabline(h = thresh, lty = 2)\nabline(h = -thresh, lty = 2)\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12547 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/dfbetas1.png\" alt=\"R'de DFBETAS\" width=\"486\" height=\"442\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Her \u00e7izimde, x ekseni veri k\u00fcmesindeki her g\u00f6zlemin indeksini g\u00f6r\u00fcnt\u00fcler ve y de\u011feri, her g\u00f6zlem ve her tahminci i\u00e7in kar\u015f\u0131l\u0131k gelen DFBETAS&#8217;\u0131 g\u00f6r\u00fcnt\u00fcler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk grafikte \u00fc\u00e7 g\u00f6zlemin <strong>0,3535534<\/strong> mutlak e\u015fik de\u011ferini a\u015ft\u0131\u011f\u0131n\u0131 g\u00f6rebiliriz ve ikinci grafikte iki g\u00f6zlemin mutlak e\u015fik de\u011ferini a\u015ft\u0131\u011f\u0131n\u0131 g\u00f6rebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Model katsay\u0131lar\u0131n\u0131n tahmini \u00fczerinde a\u015f\u0131r\u0131 bir etkiye sahip olup olmad\u0131klar\u0131n\u0131 belirlemek i\u00e7in bu g\u00f6zlemleri daha yak\u0131ndan incelemeyi se\u00e7ebiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/rde-basit-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de basit do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de \u00e7oklu do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rde-kaldirac\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de kald\u0131ra\u00e7 istatistikleri nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rdeki-sorunlar\/\">R&#8217;de DFFITS nas\u0131l hesaplan\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistikte genellikle farkl\u0131 g\u00f6zlemlerin regresyon modellerinde ne gibi etkileri oldu\u011funu bilmek isteriz. G\u00f6zlemlerin etkisini hesaplaman\u0131n bir yolu, DFBETAS olarak bilinen ve bize her bir g\u00f6zlemin kald\u0131r\u0131lmas\u0131n\u0131n her katsay\u0131s\u0131 \u00fczerindeki standartla\u015ft\u0131r\u0131lm\u0131\u015f etkiyi s\u00f6yleyen bir \u00f6l\u00e7\u00fcm kullanmakt\u0131r. Bu \u00f6l\u00e7\u00fcm bize, belirli bir regresyon modelinde her g\u00f6zlemin her katsay\u0131 tahmini \u00fczerindeki etkisi hakk\u0131nda bir fikir verir. Bu e\u011fitimde, [&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-1276","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 - Statorialsde DFBETAS nas\u0131l hesaplan\u0131r<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde R&#039;de DFBETAS&#039;\u0131n nas\u0131l hesaplanaca\u011f\u0131 bir \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\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\/rdeki-dfbetas\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R - Statorialsde DFBETAS nas\u0131l hesaplan\u0131r\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde R&#039;de DFBETAS&#039;\u0131n nas\u0131l hesaplanaca\u011f\u0131 bir \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/rdeki-dfbetas\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T01:24:14+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/dfbetas1.png\" \/>\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=\"4 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/rdeki-dfbetas\/\",\"url\":\"https:\/\/statorials.org\/tr\/rdeki-dfbetas\/\",\"name\":\"R - Statorialsde DFBETAS nas\u0131l hesaplan\u0131r\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-27T01:24:14+00:00\",\"dateModified\":\"2023-07-27T01:24:14+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde R&#39;de DFBETAS&#39;\u0131n nas\u0131l hesaplanaca\u011f\u0131 bir \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/rdeki-dfbetas\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/rdeki-dfbetas\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/rdeki-dfbetas\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"R&#39;de dfbetas 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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