{"id":1274,"date":"2023-07-27T01:33:14","date_gmt":"2023-07-27T01:33:14","guid":{"rendered":"https:\/\/statorials.org\/tr\/rde-kaldirac\/"},"modified":"2023-07-27T01:33:14","modified_gmt":"2023-07-27T01:33:14","slug":"rde-kaldirac","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rde-kaldirac\/","title":{"rendered":"R&#39;de kald\u0131ra\u00e7 istatistikleri nas\u0131l hesaplan\u0131r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistikte, bir <a href=\"https:\/\/statorials.org\/tr\/istatistikte-gozlem\/\" target=\"_blank\" rel=\"noopener\">g\u00f6zlemin<\/a> yan\u0131t de\u011fi\u015fkenine ili\u015fkin de\u011feri veri k\u00fcmesindeki di\u011fer g\u00f6zlemlerden \u00e7ok daha b\u00fcy\u00fckse, bu g\u00f6zlem <strong>ayk\u0131r\u0131 de\u011fer<\/strong> olarak kabul edilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Benzer \u015fekilde, bir g\u00f6zlem, veri k\u00fcmesindeki di\u011fer g\u00f6zlemlerle kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda \u00e7ok daha ekstrem tahmin de\u011fi\u015fkenleri i\u00e7in bir veya daha fazla de\u011fere sahipse, y\u00fcksek <strong>kald\u0131ra\u00e7<\/strong> olarak kabul edilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Herhangi bir analiz t\u00fcr\u00fcnde ilk ad\u0131mlardan biri, belirli bir modelin sonu\u00e7lar\u0131 \u00fczerinde b\u00fcy\u00fck bir etkiye sahip olabilece\u011finden, y\u00fcksek etkiye sahip g\u00f6zlemlere daha yak\u0131ndan bakmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde, R&#8217;deki bir modeldeki her g\u00f6zlem i\u00e7in kald\u0131rac\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;\">#load the dataset<\/span>\ndata(mtcars)\n\n<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 kald\u0131rac\u0131 hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra, modeldeki her g\u00f6zlemin kald\u0131rac\u0131n\u0131 hesaplamak i\u00e7in <strong>hatvalues()<\/strong> fonksiyonunu kullanaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate leverage for each observation in the model\n<\/span>hats &lt;- <span style=\"color: #3366ff;\">as<\/span> . <span style=\"color: #3366ff;\">data<\/span> . <span style=\"color: #3366ff;\">frame<\/span> (hatvalues(model))\n\n<span style=\"color: #008080;\">#display leverage stats for each observation\n<\/span>hats\n\n                    hatvalues(model)\nMazda RX4 0.04235795\nMazda RX4 Wag 0.04235795\nDatsun 710 0.06287776\nHornet 4 Drive 0.07614472\nHornet Sportabout 0.08097817\nValiant 0.05945972\nDuster 360 0.09828955\nMerc 240D 0.08816960\nMerc 230 0.05102253\nMerc 280 0.03990060\nMerc 280C 0.03990060\nMerc 450SE 0.03890159\nMerc 450SL 0.03890159\nMerc 450SLC 0.03890159\nCadillac Fleetwood 0.19443875\nLincoln Continental 0.16042361\nChrysler Imperial 0.12447530\nFiat 128 0.08346304\nHonda Civic 0.09493784\nToyota Corolla 0.08732818\nToyota Corona 0.05697867\nDodge Challenger 0.06954069\nAMC Javelin 0.05767659\nCamaro Z28 0.10011654\nPontiac Firebird 0.12979822\nFiat X1-9 0.08334018\nPorsche 914-2 0.05785170\nLotus Europa 0.08193899\nFord Pantera L 0.13831817\nFerrari Dino 0.12608583\nMaserati Bora 0.49663919\nVolvo 142E 0.05848459\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Genellikle kald\u0131ra\u00e7 de\u011feri 2&#8217;den b\u00fcy\u00fck olan g\u00f6zlemlere daha yak\u0131ndan bakar\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu yapman\u0131n basit bir yolu, g\u00f6zlemleri kald\u0131ra\u00e7 de\u011ferlerine g\u00f6re azalan d\u00fczende s\u0131ralamakt\u0131r:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#sort observations by leverage, descending<\/span>\nhats[ <span style=\"color: #3366ff;\">order<\/span> (-hats[' <span style=\"color: #008000;\">hatvalues(model)<\/span> ']), ]\n\n [1] 0.49663919 0.19443875 0.16042361 0.13831817 0.12979822 0.12608583\n [7] 0.12447530 0.10011654 0.09828955 0.09493784 0.08816960 0.08732818\n[13] 0.08346304 0.08334018 0.08193899 0.08097817 0.07614472 0.06954069\n[19] 0.06287776 0.05945972 0.05848459 0.05785170 0.05767659 0.05697867\n[25] 0.05102253 0.04235795 0.04235795 0.03990060 0.03990060 0.03890159\n[31] 0.03890159 0.03890159\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">En y\u00fcksek kald\u0131ra\u00e7 de\u011ferinin <strong>0,4966<\/strong> oldu\u011funu g\u00f6rebiliyoruz. Bu say\u0131 2&#8217;den b\u00fcy\u00fck olmad\u0131\u011f\u0131ndan veri setimizdeki g\u00f6zlemlerin hi\u00e7birinin y\u00fcksek kald\u0131raca sahip olmad\u0131\u011f\u0131n\u0131 biliyoruz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>3. Ad\u0131m: Her g\u00f6zlemin etkisini g\u00f6rselle\u015ftirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Son olarak, her g\u00f6zlemin etkisini g\u00f6rselle\u015ftirmek i\u00e7in h\u0131zl\u0131 bir grafik olu\u015fturabiliriz:<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#plot leverage values for each observation<\/span>\nplot(hatvalues(model), type = ' <span style=\"color: #008000;\">h<\/span> ')\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12536 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/effet-de-levier1.png\" alt=\"R'de kald\u0131ra\u00e7\" width=\"414\" height=\"380\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">X ekseni veri k\u00fcmesindeki her g\u00f6zlemin indeksini g\u00f6r\u00fcnt\u00fcler ve y de\u011feri ise her g\u00f6zlem i\u00e7in kar\u015f\u0131l\u0131k gelen kald\u0131ra\u00e7 istatisti\u011fini g\u00f6r\u00fcnt\u00fcler.<\/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\/kalan-iz-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de art\u0131k arsa nas\u0131l olu\u015fturulur<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistikte, bir g\u00f6zlemin yan\u0131t de\u011fi\u015fkenine ili\u015fkin de\u011feri veri k\u00fcmesindeki di\u011fer g\u00f6zlemlerden \u00e7ok daha b\u00fcy\u00fckse, bu g\u00f6zlem ayk\u0131r\u0131 de\u011fer olarak kabul edilir. Benzer \u015fekilde, bir g\u00f6zlem, veri k\u00fcmesindeki di\u011fer g\u00f6zlemlerle kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda \u00e7ok daha ekstrem tahmin de\u011fi\u015fkenleri i\u00e7in bir veya daha fazla de\u011fere sahipse, y\u00fcksek kald\u0131ra\u00e7 olarak kabul edilir. Herhangi bir analiz t\u00fcr\u00fcnde ilk ad\u0131mlardan biri, belirli [&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-1274","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&#039;de kald\u0131ra\u00e7 istatistikleri nas\u0131l hesaplan\u0131r<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, ad\u0131m ad\u0131m bir \u00f6rnek de dahil olmak \u00fczere, R&#039;de kald\u0131ra\u00e7 istatistiklerinin nas\u0131l hesaplanaca\u011f\u0131 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\" 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