{"id":603,"date":"2023-07-29T09:02:23","date_gmt":"2023-07-29T09:02:23","guid":{"rendered":"https:\/\/statorials.org\/tr\/heather-puani\/"},"modified":"2023-07-29T09:02:23","modified_gmt":"2023-07-29T09:02:23","slug":"heather-puani","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/heather-puani\/","title":{"rendered":"Brier puan\u0131 nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Brier puan\u0131,<\/strong> olas\u0131l\u0131ksal tahminlerin do\u011frulu\u011funu \u00f6l\u00e7mek i\u00e7in istatistikte kulland\u0131\u011f\u0131m\u0131z bir \u00f6l\u00e7\u00fcmd\u00fcr. Genellikle bir tahminin sonucu ikili oldu\u011funda kullan\u0131l\u0131r: sonu\u00e7 ya ger\u00e7ekle\u015fir ya da ger\u00e7ekle\u015fmez.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir hava tahmininin ya\u011fmur ya\u011fma ihtimalinin %90 oldu\u011funu s\u00f6yledi\u011fini ve asl\u0131nda ya\u011fmur ya\u011fd\u0131\u011f\u0131n\u0131 varsayal\u0131m. Bu tahminin Brier skorunu a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanarak hesaplayabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Brier puan\u0131<\/strong> = (f \u2013 o) <sup>2<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<p> <span style=\"color: #000000;\">f = tahmin edilen olas\u0131l\u0131k<\/span><\/p>\n<p> <span style=\"color: #000000;\">o = sonu\u00e7 (olay ger\u00e7ekle\u015firse 1, ger\u00e7ekle\u015fmezse 0)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnekte tahminimizin Brier puan\u0131 (0,9 \u2013 1) <sup>2<\/sup> = -0,1 <sup>2<\/sup> = <strong>0,01<\/strong> olacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir dizi ipucu i\u00e7in Brier puan\u0131, tek tek ipu\u00e7lar\u0131 i\u00e7in Brier puanlar\u0131n\u0131n ortalamas\u0131 olarak hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Brier puan\u0131<\/strong> = 1\/n * \u03a3(f <sub>t<\/sub> \u2013 o <sub>t<\/sub> ) <sup>2<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<p> <span style=\"color: #000000;\">n = \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc (tahminlerin say\u0131s\u0131)<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u03a3 = \u201ctoplam\u201d anlam\u0131na gelen s\u00fcsl\u00fc bir sembol<\/span><\/p>\n<p> <span style=\"color: #000000;\">f <sub>t<\/sub> = <em>t<\/em> olay\u0131nda tahmin edilen olas\u0131l\u0131k<\/span><\/p>\n<p> <span style=\"color: #000000;\">o = <em>t<\/em> olay\u0131ndaki sonu\u00e7 (olay ger\u00e7ekle\u015firse 1, ger\u00e7ekle\u015fmezse 0)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Brier skoru 0 ile 1 aras\u0131nda herhangi bir de\u011fer alabilir; 0 m\u00fcmk\u00fcn olan en iyi skor ve 1 m\u00fcmk\u00fcn olan en k\u00f6t\u00fc skordur. Brier puan\u0131 ne kadar d\u00fc\u015f\u00fck olursa tahminler o kadar do\u011fru olur.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Brier Puan\u0131 Hesaplama \u00d6rnekleri<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler Brier puanlar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Bir tahminde ya\u011fmur ya\u011fma ihtimalinin %0 oldu\u011fu ve ya\u011fmur ya\u011faca\u011f\u0131 belirtiliyor.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Brier Skoru = (0 \u2013 1) <sup>2<\/sup> = 1<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Bir tahmin %100 ya\u011fmur ya\u011fma ihtimali oldu\u011funu ve ya\u011fmur ya\u011faca\u011f\u0131n\u0131 s\u00f6yl\u00fcyor.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Brier Skoru = (1 \u2013 1) <sup>2<\/sup> = 0<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek 3: Bir tahmin %27 oran\u0131nda ya\u011fmur ya\u011fma ihtimali oldu\u011funu ve ya\u011fmur ya\u011faca\u011f\u0131n\u0131 s\u00f6yl\u00fcyor.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Brier Skoru = (0,27 \u2013 1) <sup>2<\/sup> = 0,5329<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek 4: Bir tahmin, ya\u011fmur ya\u011fmas\u0131 ve ya\u011fmama ihtimalinin %97 oldu\u011funu s\u00f6yl\u00fcyor.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Brier Skoru = (0,97 \u2013 0) <sup>2<\/sup> = 0,9409<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek 5: Bir meteorolog a\u015fa\u011f\u0131daki tahmini yapar:<\/strong><\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Ya\u011fmur ya\u011fma olas\u0131l\u0131\u011f\u0131<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Sonu\u00e7lar<\/strong><\/span><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">%27<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">Ya\u011fmur<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">%67<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">Ya\u011fmur<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">%83<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">Ya\u011fmur yok<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">%90<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">Ya\u011fmur<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">Bu tahmin dizisi i\u00e7in Brier puan\u0131n\u0131 a\u015fa\u011f\u0131daki form\u00fclleri kullanarak hesaplayabiliriz:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Ya\u011fmur ya\u011fma olas\u0131l\u0131\u011f\u0131<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Sonu\u00e7lar<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Brier puan\u0131<\/strong><\/span><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">%27<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">Ya\u011fmur<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">(.27-1) <sup>2<\/sup> = .5329<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">%67<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">Ya\u011fmur<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">(.67-1) <sup>2<\/sup> = .1089<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">%83<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">Ya\u011fmur yok<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">(.83-0) <sup>2<\/sup> = .6889<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">%90<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">Ya\u011fmur<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">(.90-1) <sup>2<\/sup> = .01<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">Brier Skoru = (.5329 + .1089 + .6889 + .01) \/ 4 = <strong>0.3352<\/strong> .<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Brier Becerileri Sonu\u00e7lar\u0131<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\"><strong>Brier beceri puan\u0131<\/strong> , yeni bir tahmin modelinin Brier puan\u0131n\u0131n mevcut bir tahmin modeliyle kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda ne kadar iyi oldu\u011funu bize s\u00f6yleyen bir \u00f6l\u00e7\u00fcmd\u00fcr. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Brier Yeterlilik Puan\u0131<\/strong> = (BS <sub>E<\/sub> \u2013 BS <sub>N<\/sub> ) \/ BS <sub>E<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<p> <span style=\"color: #000000;\">BS <sub>E<\/sub> = Mevcut modelin Brier puan\u0131<\/span><\/p>\n<p> <span style=\"color: #000000;\">BS <sub>N<\/sub> = Yeni modelin Brier Skoru<\/span><\/p>\n<p> <span style=\"color: #000000;\">Brier beceri puan\u0131 pozitifse yeni model daha do\u011fru tahminler yap\u0131yor. Brier Beceri Puan\u0131 negatifse yeni model daha k\u00f6t\u00fc tahminler yap\u0131yor. Brier Beceri Puan\u0131 s\u0131f\u0131rsa, yeni model mevcut modele g\u00f6re hi\u00e7bir geli\u015fme sunmuyor demektir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, mevcut modelimizin Brier puan\u0131n\u0131n BS <sub>E<\/sub> = 0,4221 oldu\u011funu ve yeni modelimizin Brier puan\u0131n\u0131n BS <sub>N<\/sub> = 0,3352 oldu\u011funu varsayal\u0131m. Yeni modelimizin Brier Beceri Puan\u0131 \u015fu \u015fekilde hesaplanabilir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Brier Yeterlilik Puan\u0131<\/strong> = (0,4421 \u2013 0,3352) \/ (0,4421) = <strong>0,2418<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu say\u0131n\u0131n pozitif olmas\u0131 yeni modelimizin mevcut modele g\u00f6re daha do\u011fru tahminler sa\u011flad\u0131\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Brier beceri puan\u0131 ne kadar y\u00fcksek olursa, yeni modelde mevcut modele g\u00f6re iyile\u015fme o kadar fazla olur.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Brier puan\u0131, olas\u0131l\u0131ksal tahminlerin do\u011frulu\u011funu \u00f6l\u00e7mek i\u00e7in istatistikte kulland\u0131\u011f\u0131m\u0131z bir \u00f6l\u00e7\u00fcmd\u00fcr. Genellikle bir tahminin sonucu ikili oldu\u011funda kullan\u0131l\u0131r: sonu\u00e7 ya ger\u00e7ekle\u015fir ya da ger\u00e7ekle\u015fmez. \u00d6rne\u011fin, bir hava tahmininin ya\u011fmur ya\u011fma ihtimalinin %90 oldu\u011funu s\u00f6yledi\u011fini ve asl\u0131nda ya\u011fmur ya\u011fd\u0131\u011f\u0131n\u0131 varsayal\u0131m. Bu tahminin Brier skorunu a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanarak hesaplayabiliriz: Brier puan\u0131 = (f \u2013 o) 2 Alt\u0131n: [&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-603","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>Brier puan\u0131 nedir? - Statoryaller<\/title>\n<meta name=\"description\" content=\"Brier puan\u0131n\u0131n istatistiklerde ne zaman kullan\u0131ld\u0131\u011f\u0131 da dahil olmak \u00fczere basit bir a\u00e7\u0131klamas\u0131 ve bunun nas\u0131l hesaplanaca\u011f\u0131na dair bir \u00f6rnek.\" \/>\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\/heather-puani\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Brier puan\u0131 nedir? - Statoryaller\" \/>\n<meta property=\"og:description\" content=\"Brier puan\u0131n\u0131n istatistiklerde ne zaman kullan\u0131ld\u0131\u011f\u0131 da dahil olmak \u00fczere basit bir a\u00e7\u0131klamas\u0131 ve bunun nas\u0131l hesaplanaca\u011f\u0131na dair bir \u00f6rnek.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/heather-puani\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T09:02:23+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\/heather-puani\/\",\"url\":\"https:\/\/statorials.org\/tr\/heather-puani\/\",\"name\":\"Brier puan\u0131 nedir? - Statoryaller\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-29T09:02:23+00:00\",\"dateModified\":\"2023-07-29T09:02:23+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Brier puan\u0131n\u0131n istatistiklerde ne zaman kullan\u0131ld\u0131\u011f\u0131 da dahil olmak \u00fczere basit bir a\u00e7\u0131klamas\u0131 ve bunun nas\u0131l hesaplanaca\u011f\u0131na dair bir \u00f6rnek.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/heather-puani\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/heather-puani\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/heather-puani\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Brier puan\u0131 nedir?\"}]},{\"@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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