{"id":2141,"date":"2023-07-23T12:47:14","date_gmt":"2023-07-23T12:47:14","guid":{"rendered":"https:\/\/statorials.org\/tr\/sifir-kalan-fark\/"},"modified":"2023-07-23T12:47:14","modified_gmt":"2023-07-23T12:47:14","slug":"sifir-kalan-fark","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/sifir-kalan-fark\/","title":{"rendered":"S\u0131f\u0131r ve art\u0131k sapma nas\u0131l yorumlan\u0131r (\u00f6rneklerle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Genel bir do\u011frusal modele uydu\u011funuzda (lojistik regresyon, Poisson regresyonu vb. gibi), \u00e7o\u011fu istatistiksel yaz\u0131l\u0131m, modelin <strong>s\u0131f\u0131r sapmas\u0131<\/strong> ve <strong>art\u0131k sapmas\u0131<\/strong> i\u00e7in de\u011ferler \u00fcretir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>S\u0131f\u0131r sapma<\/strong> bize yan\u0131t de\u011fi\u015fkeninin yaln\u0131zca orijinal terim i\u00e7eren 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\u015fkenli bir 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;\">A\u015fa\u011f\u0131daki \u00f6rnek, R&#8217;deki bir lojistik regresyon modeli i\u00e7in s\u0131f\u0131r ve art\u0131k sapman\u0131n nas\u0131l yorumlanaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: S\u0131f\u0131r ve art\u0131k sapman\u0131n yorumlanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnek i\u00e7in ISLR paketindeki <strong>varsay\u0131lan<\/strong> veri k\u00fcmesini kullanaca\u011f\u0131z. Veri k\u00fcmesinin \u00f6zetini y\u00fcklemek ve g\u00f6r\u00fcnt\u00fclemek i\u00e7in a\u015fa\u011f\u0131daki kodu kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load dataset<\/span>\ndata &lt;- ISLR::Default\n\n<span style=\"color: #008080;\">#view summary of dataset\n<\/span>summary(data)\n\n default student balance income     \n No:9667 No:7056 Min. : 0.0 Min. : 772  \n Yes: 333 Yes:2944 1st Qu.: 481.7 1st Qu.:21340  \n                       Median: 823.6 Median: 34553  \n                       Mean: 835.4 Mean: 33517  \n                       3rd Qu.:1166.3 3rd Qu.:43808  \n                       Max. :2654.3 Max. :73554 \n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bu veri seti 10.000 ki\u015fiye ili\u015fkin a\u015fa\u011f\u0131daki bilgileri i\u00e7ermektedir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Varsay\u0131lan:<\/strong> Bir ki\u015finin temerr\u00fcde d\u00fc\u015f\u00fcp d\u00fc\u015fmedi\u011fini g\u00f6sterir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u00d6\u011frenci:<\/strong> Bireyin \u00f6\u011frenci olup olmad\u0131\u011f\u0131n\u0131 belirtir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>bakiye:<\/strong> Bir bireyin ta\u015f\u0131d\u0131\u011f\u0131 ortalama bakiye.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>gelir:<\/strong> Bireyin geliri.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Belirli bir bireyin temerr\u00fcde d\u00fc\u015fme olas\u0131l\u0131\u011f\u0131n\u0131 tahmin eden bir <a href=\"https:\/\/statorials.org\/tr\/lojistik-regresyon-1\/\" target=\"_blank\" rel=\"noopener\">lojistik regresyon modeli<\/a> olu\u015fturmak i\u00e7in \u00f6\u011frenci durumunu, banka bakiyesini ve geliri kullanaca\u011f\u0131z:<\/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(default~balance+student+income, family=\" <span style=\"color: #ff0000;\">binomial<\/span> \", data=data)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(model)\n\nCall:\nglm(formula = default ~ balance + student + income, family = \"binomial\", \n    data = data)\n\nDeviance Residuals: \n    Min 1Q Median 3Q Max  \n-2.4691 -0.1418 -0.0557 -0.0203 3.7383  \n\nCoefficients:\n              Estimate Std. Error z value Pr(&gt;|z|)    \n(Intercept) -1.087e+01 4.923e-01 -22.080 &lt; 2e-16 ***\nbalance 5.737e-03 2.319e-04 24.738 &lt; 2e-16 ***\nstudentYes -6.468e-01 2.363e-01 -2.738 0.00619 ** \nincome 3.033e-06 8.203e-06 0.370 0.71152    \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: 2920.6 on 9999 degrees of freedom\nResidual deviance: 1571.5 on 9996 degrees of freedom\nAIC: 1579.5\n\nNumber of Fisher Scoring iterations: 8\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">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> : 2920,6, df = 9999 ile<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Art\u0131k sapma<\/strong> : 1571,5 df = 9996 ile<\/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> = 2910,6 \u2013 1579,0<\/span><\/li>\n<li> <span style=\"color: #000000;\"><sup>X2<\/sup> = 1331,6<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Tahmin edici de\u011fi\u015fkenlerin <em>p<\/em> = 3 serbestlik derecesi vard\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">3 serbestlik derecesine sahip 1331,6&#8217;l\u0131k bir <sup>X2<\/sup> de\u011ferinin 0,000000 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 belirli bir bireyin temerr\u00fcde d\u00fc\u015fme olas\u0131l\u0131\u011f\u0131n\u0131 tahmin etmede \u00e7ok faydal\u0131 oldu\u011fu sonucuna varabiliriz.<\/span><\/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 ve Python&#8217;da pratikte lojistik regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini a\u00e7\u0131klamaktad\u0131r:<\/span><\/p>\n<p> R&#8217;de lojistik regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<br \/> <a href=\"https:\/\/statorials.org\/tr\/lojistik-regresyon-pitonu\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da Lojistik Regresyon Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Genel bir do\u011frusal modele uydu\u011funuzda (lojistik regresyon, Poisson regresyonu vb. gibi), \u00e7o\u011fu istatistiksel yaz\u0131l\u0131m, modelin s\u0131f\u0131r sapmas\u0131 ve art\u0131k sapmas\u0131 i\u00e7in de\u011ferler \u00fcretir. S\u0131f\u0131r sapma bize yan\u0131t de\u011fi\u015fkeninin yaln\u0131zca orijinal terim i\u00e7eren bir model taraf\u0131ndan ne kadar iyi tahmin edilebilece\u011fini anlat\u0131r. Art\u0131k sapma bize yan\u0131t de\u011fi\u015fkeninin p \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkenli bir model taraf\u0131ndan ne kadar iyi [&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-2141","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>S\u0131f\u0131r ve art\u0131k sapma nas\u0131l yorumlan\u0131r (\u00f6rneklerle) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde s\u0131f\u0131r ve art\u0131k sapmalar\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\/sifir-kalan-fark\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"S\u0131f\u0131r ve art\u0131k sapma nas\u0131l yorumlan\u0131r (\u00f6rneklerle) - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde s\u0131f\u0131r ve art\u0131k sapmalar\u0131n nas\u0131l yorumlanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/sifir-kalan-fark\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-23T12:47:14+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\/sifir-kalan-fark\/\",\"url\":\"https:\/\/statorials.org\/tr\/sifir-kalan-fark\/\",\"name\":\"S\u0131f\u0131r ve art\u0131k sapma nas\u0131l yorumlan\u0131r (\u00f6rneklerle) - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-23T12:47:14+00:00\",\"dateModified\":\"2023-07-23T12:47:14+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde s\u0131f\u0131r ve art\u0131k sapmalar\u0131n nas\u0131l yorumlanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/sifir-kalan-fark\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/sifir-kalan-fark\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/sifir-kalan-fark\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"S\u0131f\u0131r ve art\u0131k sapma nas\u0131l yorumlan\u0131r (\u00f6rneklerle)\"}]},{\"@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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