{"id":2430,"date":"2023-07-22T07:47:44","date_gmt":"2023-07-22T07:47:44","guid":{"rendered":"https:\/\/statorials.org\/tr\/rdeki-glm-ciktisini-yorumla\/"},"modified":"2023-07-22T07:47:44","modified_gmt":"2023-07-22T07:47:44","slug":"rdeki-glm-ciktisini-yorumla","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rdeki-glm-ciktisini-yorumla\/","title":{"rendered":"R&#39;de glm \u00e7\u0131kt\u0131s\u0131 nas\u0131l yorumlan\u0131r (\u00f6rnekle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">R&#8217;deki <strong>glm()<\/strong> i\u015flevi genelle\u015ftirilmi\u015f do\u011frusal modellere uymak i\u00e7in kullan\u0131labilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu i\u015flev a\u015fa\u011f\u0131daki s\u00f6zdizimini kullan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>glm(form\u00fcl, aile=Gauss, veri, \u2026)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>form\u00fcl:<\/strong> Do\u011frusal model form\u00fcl\u00fc (\u00f6rne\u011fin y ~ x1 + x2)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>aile:<\/strong> modele uymak i\u00e7in kullan\u0131lacak istatistiksel aile. Varsay\u0131lan Gaussian&#8217;d\u0131r ancak di\u011fer se\u00e7enekler aras\u0131nda Binom, Gamma ve Poisson da bulunur.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>data:<\/strong> Verileri i\u00e7eren veri blo\u011funun ad\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Pratikte bu fonksiyon \u00e7o\u011funlukla &#8220;binom&#8221; ailesini belirterek <a href=\"https:\/\/statorials.org\/tr\/lojistik-regresyon-1\/\" target=\"_blank\" rel=\"noopener\">lojistik regresyon modellerine<\/a> uyum sa\u011flamak i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, lojistik regresyon modeli i\u00e7in R&#8217;deki glm \u00e7\u0131kt\u0131s\u0131n\u0131n nas\u0131l yorumlanaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek: R&#8217;de glm \u00e7\u0131kt\u0131s\u0131 nas\u0131l yorumlan\u0131r?<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnek i\u00e7in R&#8217;de yerle\u015fik <a href=\"https:\/\/statorials.org\/tr\/mtcars-r-veri-kumesi\/\" target=\"_blank\" rel=\"noopener\">mtcars<\/a> veri k\u00fcmesini kullanaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#view first six rows of <em>mtcars<\/em> dataset\n<\/span>head(mtcars)\n\n                   mpg cyl disp hp drat wt qsec vs am gear carb\nMazda RX4 21.0 6 160 110 3.90 2.620 16.46 0 1 4 4\nMazda RX4 Wag 21.0 6 160 110 3.90 2.875 17.02 0 1 4 4\nDatsun 710 22.8 4 108 93 3.85 2.320 18.61 1 1 4 1\nHornet 4 Drive 21.4 6 258 110 3.08 3.215 19.44 1 0 3 1\nHornet Sportabout 18.7 8 360 175 3.15 3.440 17.02 0 0 3 2\nValiant 18.1 6 225 105 2.76 3,460 20.22 1 0 3 1\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Belirli bir araban\u0131n <strong>am<\/strong> de\u011fi\u015fkeni i\u00e7in 1 de\u011ferini alma olas\u0131l\u0131\u011f\u0131n\u0131 tahmin etmek i\u00e7in <strong>disp<\/strong> ve <strong>hp<\/strong> de\u011fi\u015fkenlerini kullanaca\u011f\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, bu lojistik regresyon modeline uyacak \u015fekilde <strong>glm()<\/strong> i\u015flevinin nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit logistic regression model\n<\/span>model &lt;- glm(am ~ disp + hp, data=mtcars, family=binomial)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(model)\n\nCall:\nglm(formula = am ~ disp + hp, family = binomial, data = mtcars)\n\nDeviance Residuals: \n    Min 1Q Median 3Q Max  \n-1.9665 -0.3090 -0.0017 0.3934 1.3682  \n\nCoefficients:\n            Estimate Std. Error z value Pr(&gt;|z|)  \n(Intercept) 1.40342 1.36757 1.026 0.3048  \navailable -0.09518 0.04800 -1.983 0.0474 *\nhp 0.12170 0.06777 1.796 0.0725 .\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\n(Dispersion parameter for binomial family taken to be 1)\n\n    Null deviance: 43,230 on 31 degrees of freedom\nResidual deviance: 16,713 on 29 degrees of freedom\nAIC: 22,713\n\nNumber of Fisher Scoring iterations: 8\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonucun her bir \u00f6\u011fesinin nas\u0131l yorumlanaca\u011f\u0131 a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Katsay\u0131lar ve P de\u011ferleri<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Sonu\u00e7taki <strong>katsay\u0131 tahmini,<\/strong> her yorday\u0131c\u0131 de\u011fi\u015fkendeki bir birimlik art\u0131\u015fla ili\u015fkili yan\u0131t de\u011fi\u015fkeninin log olas\u0131l\u0131\u011f\u0131ndaki ortalama de\u011fi\u015fimi g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, tahmin de\u011fi\u015fkeni disp&#8217;deki bir birimlik art\u0131\u015f, yan\u0131t de\u011fi\u015fkeninin 1 de\u011ferini almas\u0131 ihtimalinin logdaki ortalama -0,09518 de\u011fi\u015fimiyle ili\u015fkilidir. Bu, daha y\u00fcksek disp de\u011ferlerinin daha d\u00fc\u015f\u00fck olas\u0131l\u0131kla ili\u015fkili oldu\u011fu anlam\u0131na gelir . de\u011fi\u015fkenin 1 de\u011ferini al\u0131yorum.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Standart hata<\/strong> bize katsay\u0131 tahminiyle ili\u015fkili de\u011fi\u015fkenlik hakk\u0131nda bir fikir verir. Daha sonra az de\u011ferini elde etmek i\u00e7in katsay\u0131 tahminini standart hataya b\u00f6leriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin disp yorday\u0131c\u0131 de\u011fi\u015fkeninin <strong>z de\u011feri<\/strong> -.09518 \/ .048 = -1.983 olarak hesaplan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P de\u011feri<\/strong> Pr(&gt;|z|) bize belirli bir z de\u011feriyle ili\u015fkili olas\u0131l\u0131\u011f\u0131 s\u00f6yler. Bu asl\u0131nda bize her bir yorday\u0131c\u0131 de\u011fi\u015fkenin modeldeki yan\u0131t de\u011fi\u015fkeninin de\u011ferini ne kadar iyi tahmin edebildi\u011fini anlat\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin disp de\u011fi\u015fkeninin z de\u011feriyle ili\u015fkili p de\u011feri 0,0474&#8217;t\u00fcr. Bu de\u011fer 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan disp&#8217;in modelde istatistiksel olarak anlaml\u0131 bir yorday\u0131c\u0131 de\u011fi\u015fken oldu\u011funu s\u00f6yleyebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tercihlerinize ba\u011fl\u0131 olarak, her yorday\u0131c\u0131 de\u011fi\u015fkenin istatistiksel olarak anlaml\u0131 olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in 0,01, 0,05 veya 0,10 anlaml\u0131l\u0131k d\u00fczeyini kullanmaya karar verebilirsiniz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>S\u0131f\u0131r ve art\u0131k sapma<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00c7\u0131kt\u0131daki <strong>s\u0131f\u0131r sapma<\/strong> bize yan\u0131t de\u011fi\u015fkeninin yaln\u0131zca orijinal terimi olan bir model taraf\u0131ndan ne kadar iyi tahmin edilebilece\u011fini anlat\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Art\u0131k sapma<\/strong> bize yan\u0131t de\u011fi\u015fkeninin, <em>p<\/em> \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkenle uydurdu\u011fumuz spesifik model taraf\u0131ndan ne kadar iyi tahmin edilebilece\u011fini anlat\u0131r. De\u011fer ne kadar d\u00fc\u015f\u00fck olursa, model yan\u0131t de\u011fi\u015fkeninin de\u011ferini o kadar iyi tahmin edebilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir modelin \u201cfaydal\u0131\u201d olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in Ki-kare istatisti\u011fini \u015fu \u015fekilde hesaplayabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>X <sup>2<\/sup><\/strong> = S\u0131f\u0131r sapma \u2013 Art\u0131k sapma<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>p<\/em> serbestlik derecesine sahip.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra bu Ki-kare istatisti\u011fiyle ili\u015fkili p de\u011ferini bulabiliriz. P de\u011feri ne kadar d\u00fc\u015f\u00fck olursa, model yaln\u0131zca orijinal terim i\u00e7eren bir modele k\u0131yasla veri k\u00fcmesine o kadar iyi uyum sa\u011flayabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin regresyon modelimizde s\u0131f\u0131r ve art\u0131k sapma i\u00e7in \u00e7\u0131kt\u0131da a\u015fa\u011f\u0131daki de\u011ferleri g\u00f6zlemleyebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>S\u0131f\u0131r sapma<\/strong> : 43,23, df = 31 ile<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Art\u0131k sapma<\/strong> : 16.713, df = 29<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Modelin X <sup>2<\/sup> istatisti\u011fini hesaplamak i\u00e7in bu de\u011ferleri kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">X <sup>2<\/sup> = S\u0131f\u0131r sapma \u2013 Art\u0131k sapma<\/span><\/li>\n<li> <span style=\"color: #000000;\"><sup>X2<\/sup> = 43,23 \u2013 16,713<\/span><\/li>\n<li> <span style=\"color: #000000;\"><sup>X2<\/sup> = 26.517<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Tahmin edici de\u011fi\u015fkenlerin <em>p<\/em> = 2 serbestlik derecesi vard\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">2 serbestlik derecesine sahip 26,517&#8217;lik bir <sup>X2<\/sup> de\u011ferinin 0,000002&#8217;lik bir p de\u011ferine sahip oldu\u011funu bulmak i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/ki-kare-p-degeri-hesaplayici\/\" target=\"_blank\" rel=\"noopener\">Ki-kare-P-de\u011feri hesaplay\u0131c\u0131s\u0131n\u0131<\/a> kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu p de\u011feri 0,05&#8217;ten \u00e7ok daha d\u00fc\u015f\u00fck oldu\u011fundan modelin \u00e7ok kullan\u0131\u015fl\u0131 oldu\u011fu sonucuna varabiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>AIC<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Akaike Bilgi Kriteri ( <strong>AIC<\/strong> ), farkl\u0131 regresyon modellerinin uyumunu kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in kullan\u0131lan bir \u00f6l\u00e7\u00fcd\u00fcr. De\u011fer ne kadar d\u00fc\u015f\u00fck olursa, regresyon modeli verilere o kadar iyi uyum sa\u011flayabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">AIC = 2K \u2013 2 <em>ln<\/em> (L)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>K:<\/strong> Model parametrelerinin say\u0131s\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><em>ln<\/em> (L)<\/strong> : Modelin log-olas\u0131l\u0131\u011f\u0131. Bu bize modelin verilere dayanma olas\u0131l\u0131\u011f\u0131n\u0131n ne kadar oldu\u011funu g\u00f6sterir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">AIC&#8217;nin ger\u00e7ek de\u011feri anlams\u0131zd\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak birden fazla regresyon modeli uygularsan\u0131z her modelin AIC de\u011ferini kar\u015f\u0131la\u015ft\u0131rabilirsiniz. En d\u00fc\u015f\u00fck AIC de\u011ferine sahip model en iyi uyumu sa\u011flar.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0130lgili:<\/strong><\/span> <a href=\"https:\/\/statorials.org\/tr\" target=\"_blank\" rel=\"noopener\">\u0130yi bir AIC de\u011feri olarak kabul edilen \u015fey nedir?<\/a><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimler, R&#8217;de <strong>glm()<\/strong> i\u015flevinin nas\u0131l kullan\u0131laca\u011f\u0131na ili\u015fkin ek bilgiler sa\u011flar:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/rde-glm-vs-lm\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de glm ve lm aras\u0131ndaki fark<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/r-glm-tahmin\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de glm ile tahmin i\u015flevi nas\u0131l kullan\u0131l\u0131r?<\/a><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimler, <strong>glm()<\/strong> i\u015flevini kullan\u0131rken yayg\u0131n hatalar\u0131n nas\u0131l ele al\u0131naca\u011f\u0131n\u0131 a\u00e7\u0131klamaktad\u0131r:<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/tr\/glm-fit-algoritmasi-yakinsamadi\/\" target=\"_blank\" rel=\"noopener\">R nas\u0131l ele al\u0131n\u0131r? Uyar\u0131: glm.fit: algoritma yak\u0131nsamad\u0131<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/glm-uygun-olasiliklar-sayisal-olarak-0-veya-1-meydana-geldi\/\" target=\"_blank\" rel=\"noopener\">Nas\u0131l ele al\u0131n\u0131r: glm.fit: say\u0131sal olarak ayarlanm\u0131\u015f olas\u0131l\u0131klar 0 veya 1&#8217;in olu\u015fmas\u0131<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>R&#8217;deki glm() i\u015flevi genelle\u015ftirilmi\u015f do\u011frusal modellere uymak i\u00e7in kullan\u0131labilir. Bu i\u015flev a\u015fa\u011f\u0131daki s\u00f6zdizimini kullan\u0131r: glm(form\u00fcl, aile=Gauss, veri, \u2026) Alt\u0131n: form\u00fcl: Do\u011frusal model form\u00fcl\u00fc (\u00f6rne\u011fin y ~ x1 + x2) aile: modele uymak i\u00e7in kullan\u0131lacak istatistiksel aile. Varsay\u0131lan Gaussian&#8217;d\u0131r ancak di\u011fer se\u00e7enekler aras\u0131nda Binom, Gamma ve Poisson da bulunur. data: Verileri i\u00e7eren veri blo\u011funun ad\u0131 Pratikte [&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-2430","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 glm \u00e7\u0131kt\u0131s\u0131 nas\u0131l yorumlan\u0131r (\u00f6rnekle) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, tam bir \u00f6rnek de dahil olmak \u00fczere, R&#039;de glm \u00e7\u0131kt\u0131s\u0131n\u0131n nas\u0131l yorumlanaca\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\" href=\"https:\/\/statorials.org\/tr\/rdeki-glm-ciktisini-yorumla\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R&#039;de glm \u00e7\u0131kt\u0131s\u0131 nas\u0131l yorumlan\u0131r (\u00f6rnekle) - 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