{"id":1527,"date":"2023-07-26T00:36:58","date_gmt":"2023-07-26T00:36:58","guid":{"rendered":"https:\/\/statorials.org\/tr\/berkson-onyargisi\/"},"modified":"2023-07-26T00:36:58","modified_gmt":"2023-07-26T00:36:58","slug":"berkson-onyargisi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/berkson-onyargisi\/","title":{"rendered":"Berkson \u00f6nyarg\u0131s\u0131: tan\u0131m + \u00f6rnekler"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Berkson yanl\u0131l\u0131\u011f\u0131,<\/strong> ara\u015ft\u0131rmada iki de\u011fi\u015fkenin bir \u00f6rneklemin verilerinde negatif ili\u015fkili gibi g\u00f6r\u00fcnd\u00fc\u011f\u00fc, ancak asl\u0131nda genel <a href=\"https:\/\/statorials.org\/tr\/populasyon-ve-ornek\/\" target=\"_blank\" rel=\"noopener\">pop\u00fclasyonda<\/a> pozitif korelasyonlu oldu\u011fu durumlarda ortaya \u00e7\u0131kan bir \u00f6nyarg\u0131 t\u00fcr\u00fcd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin Tom&#8217;un yerel restoranlardaki hamburgerlerin ve milkshakelerin kalitesi aras\u0131ndaki ili\u015fkiyi incelemek istedi\u011fini varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">D\u0131\u015far\u0131 \u00e7\u0131k\u0131yor ve yedi farkl\u0131 restorana ili\u015fkin a\u015fa\u011f\u0131daki verileri topluyor:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15150 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/berkson1.png\" alt=\"\" width=\"323\" height=\"194\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Verileri g\u00f6rselle\u015ftirmek i\u00e7in bir da\u011f\u0131l\u0131m grafi\u011fi olu\u015fturur:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15151 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/berkson2.png\" alt=\"Berkson paradoksuna \u00f6rnek\" width=\"457\" height=\"396\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu iki de\u011fi\u015fken aras\u0131ndaki <a href=\"https:\/\/statorials.org\/tr\/pearson-korelasyon-katsayisi-1\/\" target=\"_blank\" rel=\"noopener\">Pearson korelasyon katsay\u0131s\u0131<\/a> <strong>-0,75&#8217;tir<\/strong> ve bu da g\u00fc\u00e7l\u00fc bir negatif korelasyona kar\u015f\u0131l\u0131k gelmektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu ke\u015fif Tom i\u00e7in mant\u0131\u011fa ayk\u0131r\u0131d\u0131r: \u0130yi hamburger yapan restoranlar\u0131n ayn\u0131 zamanda iyi milkshake de yapt\u0131\u011f\u0131n\u0131 d\u00fc\u015f\u00fcn\u00fcrd\u00fc.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak Tom&#8217;un kasabada hem k\u00f6t\u00fc hamburger <em>hem de<\/em> k\u00f6t\u00fc milkshake yapan t\u00fcm restoranlar\u0131 g\u00f6rmezden geldi\u011fi ortaya \u00e7\u0131kt\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">E\u011fer bu restoranlar\u0131 ziyaret etmi\u015f olsayd\u0131 a\u015fa\u011f\u0131daki veri setini toplayacakt\u0131:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15152 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/berkson3.png\" alt=\"\" width=\"306\" height=\"292\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu veri k\u00fcmesi i\u00e7in da\u011f\u0131l\u0131m grafi\u011fi \u015fu \u015fekilde g\u00f6r\u00fcn\u00fcr:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15153 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/berkson4.png\" alt=\"\" width=\"455\" height=\"399\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fken aras\u0131ndaki <a href=\"https:\/\/statorials.org\/tr\/pearson-korelasyon-katsayisi-1\/\" target=\"_blank\" rel=\"noopener\">Pearson korelasyon katsay\u0131s\u0131<\/a> <strong>0,46<\/strong> olarak ortaya \u00e7\u0131k\u0131yor ve bu da orta derecede g\u00fc\u00e7l\u00fc bir pozitif korelasyonu temsil ediyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tom, \u015fehirdeki restoranlar\u0131n yaln\u0131zca bir alt k\u00fcmesini inceleyerek hatal\u0131 bir \u015fekilde burgerlerin ve milkshakelerin kalitesi aras\u0131nda negatif bir korelasyon oldu\u011fu sonucuna vard\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Asl\u0131nda bu iki de\u011fi\u015fken aras\u0131nda (beklendi\u011fi gibi) pozitif bir ili\u015fki oldu\u011fu ortaya \u00e7\u0131k\u0131yor. Bu Berkson&#8217;un \u00f6nyarg\u0131s\u0131n\u0131n klasik bir \u00f6rne\u011fidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Pratikte Berkson yanl\u0131l\u0131\u011f\u0131n\u0131n ortaya \u00e7\u0131kt\u0131\u011f\u0131 di\u011fer senaryolar i\u00e7in a\u015fa\u011f\u0131daki \u00f6rneklere bak\u0131n.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: \u00dcniversiteye kabuller<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir \u00fcniversitenin yaln\u0131zca yeterince y\u00fcksek GPA ve ACT puan\u0131na sahip \u00f6\u011frencileri kabul etti\u011fini varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu iki de\u011fi\u015fkenin pozitif korelasyona sahip oldu\u011fu iyi biliniyor ancak belirli bir \u00fcniversiteye gitmeye karar veren \u00f6\u011frenciler aras\u0131nda ikisi aras\u0131nda negatif bir korelasyon oldu\u011fu ortaya \u00e7\u0131kt\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak bu negatif korelasyon, <em>hem<\/em> GPA hem de ACT puan\u0131 y\u00fcksek olan \u00f6\u011frencilerin elit bir \u00fcniversiteye gidebilmesi, GPA ve ACT puan\u0131 d\u00fc\u015f\u00fck <em>olan<\/em> \u00f6\u011frencilerin ise hi\u00e7 kabul edilmemesi nedeniyle ortaya \u00e7\u0131kmaktad\u0131r.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15155 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/berkson6.png\" alt=\"\" width=\"447\" height=\"390\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">ACT ile GPA aras\u0131ndaki korelasyon evrende pozitif olmas\u0131na ra\u011fmen \u00f6rneklemde negatif g\u00f6r\u00fcnmektedir. Bu Berkson a\u00e7\u0131s\u0131ndan bir \u00f6nyarg\u0131 durumudur.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Fl\u00f6rt Tercihleri<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Pek \u00e7ok ki\u015fi yaln\u0131zca hem \u00e7ekici hem de iyi bir ki\u015fili\u011fe sahip partnerlerle \u00e7\u0131kar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ger\u00e7ek d\u00fcnyada bu iki de\u011fi\u015fken aras\u0131nda bir ili\u015fki olmayabilir, ancak fl\u00f6rt havuzunu daralt\u0131rken, ki\u015fi hem \u00e7ekici olmayan hem de yetenekli olan potansiyel partnerleri tamamen g\u00f6rmezden gelebilir. &#8216;iyi bir ki\u015filik.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla, potansiyel partnerler aras\u0131nda bu iki de\u011fi\u015fken aras\u0131nda negatif bir korelasyon oldu\u011fu g\u00f6r\u00fcnebilir: Daha \u00e7ekici insanlar daha k\u00f6t\u00fc ki\u015filiklere sahiptir ve daha iyi ki\u015fili\u011fe sahip insanlar daha az \u00e7ekici g\u00f6r\u00fcnmektedir.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15156 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/berkson7.png\" alt=\"Berkson'un \u00f6nyarg\u0131s\u0131\" width=\"427\" height=\"394\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Pop\u00fclasyonda bu iki de\u011fi\u015fken aras\u0131nda herhangi bir korelasyon olmamas\u0131na ra\u011fmen, potansiyel partner \u00f6rnekleminde negatif bir korelasyon oldu\u011fu g\u00f6r\u00fclmektedir. Bu sadece Berkson&#8217;un \u00f6nyarg\u0131s\u0131n\u0131n bir \u00f6rne\u011fi.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Berkson \u00f6nyarg\u0131s\u0131 nas\u0131l \u00f6nlenir?<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Ara\u015ft\u0131rma \u00e7al\u0131\u015fmalar\u0131nda Berkson yanl\u0131l\u0131\u011f\u0131ndan ka\u00e7\u0131nman\u0131n en belirgin yolu, bir pop\u00fclasyondan <a href=\"https:\/\/statorials.org\/tr\/ornekleme-yontemleri\/\" target=\"_blank\" rel=\"noopener\">basit rastgele bir \u00f6rnek<\/a> toplamakt\u0131r. Ba\u015fka bir deyi\u015fle, ilgilenilen pop\u00fclasyonun her \u00fcyesinin \u00f6rne\u011fe dahil edilme \u015fans\u0131n\u0131n e\u015fit oldu\u011fundan emin olun.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir \u00fclkedeki hastal\u0131k yayg\u0131nl\u0131\u011f\u0131n\u0131 ara\u015ft\u0131r\u0131yorsan\u0131z, yaln\u0131zca hastanelerde kolayca ula\u015f\u0131labilen ki\u015filerden de\u011fil, \u00fclke genelindeki bireylerden bir \u00f6rnek toplaman\u0131z gerekir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Basit bir rastgele \u00f6rnek kullanarak ara\u015ft\u0131rmac\u0131lar, \u00f6rneklerinin <a href=\"https:\/\/statorials.org\/tr\/temsili-ornek-1\/\" target=\"_blank\" rel=\"noopener\">pop\u00fclasyonu temsil etme \u015fans\u0131n\u0131 en \u00fcst d\u00fczeye \u00e7\u0131karabilirler;<\/a> bu, \u00f6rnekten elde ettikleri bulgular\u0131 genel pop\u00fclasyona g\u00fcvenle genelle\u015ftirebilecekleri anlam\u0131na gelir.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Berkson yanl\u0131l\u0131\u011f\u0131, ara\u015ft\u0131rmada iki de\u011fi\u015fkenin bir \u00f6rneklemin verilerinde negatif ili\u015fkili gibi g\u00f6r\u00fcnd\u00fc\u011f\u00fc, ancak asl\u0131nda genel pop\u00fclasyonda pozitif korelasyonlu oldu\u011fu durumlarda ortaya \u00e7\u0131kan bir \u00f6nyarg\u0131 t\u00fcr\u00fcd\u00fcr. \u00d6rne\u011fin Tom&#8217;un yerel restoranlardaki hamburgerlerin ve milkshakelerin kalitesi aras\u0131ndaki ili\u015fkiyi incelemek istedi\u011fini varsayal\u0131m. D\u0131\u015far\u0131 \u00e7\u0131k\u0131yor ve yedi farkl\u0131 restorana ili\u015fkin a\u015fa\u011f\u0131daki verileri topluyor: Verileri g\u00f6rselle\u015ftirmek i\u00e7in bir da\u011f\u0131l\u0131m grafi\u011fi olu\u015fturur: [&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-1527","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>Berkson \u00f6nyarg\u0131s\u0131: tan\u0131m + \u00f6rnekler<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, resmi bir tan\u0131m ve \u00e7e\u015fitli \u00f6rnekler de dahil olmak \u00fczere Berkson \u00f6nyarg\u0131s\u0131n\u0131n bir a\u00e7\u0131klamas\u0131 sunulmaktad\u0131r.\" 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