{"id":2602,"date":"2023-07-21T13:32:57","date_gmt":"2023-07-21T13:32:57","guid":{"rendered":"https:\/\/statorials.org\/tr\/balikci-z-donusumu\/"},"modified":"2023-07-21T13:32:57","modified_gmt":"2023-07-21T13:32:57","slug":"balikci-z-donusumu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/balikci-z-donusumu\/","title":{"rendered":"Fisher z d\u00f6n\u00fc\u015f\u00fcm\u00fc: tan\u0131m ve \u00f6rnek"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Fisher Z d\u00f6n\u00fc\u015f\u00fcm\u00fc,<\/strong> Pearson korelasyon katsay\u0131s\u0131n\u0131 (r), Pearson korelasyon katsay\u0131s\u0131 i\u00e7in bir g\u00fcven aral\u0131\u011f\u0131 hesaplamak i\u00e7in kullan\u0131labilecek bir de\u011fere ( <sub>zr<\/sub> ) d\u00f6n\u00fc\u015ft\u00fcrmek i\u00e7in kullanabilece\u011fimiz bir form\u00fcld\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Form\u00fcl a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n<p> <span style=\"color: #000000;\">z <sub>r<\/sub> = ln((1+r) \/ (1-r)) \/ 2<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, iki de\u011fi\u015fken aras\u0131ndaki Pearson korelasyon katsay\u0131s\u0131 <strong>r<\/strong> = 0,55 \u00e7\u0131karsa <strong><sub>zr&#8217;yi<\/sub><\/strong> \u015fu \u015fekilde hesaplar\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">z <sub>r<\/sub> = ln((1+r) \/ (1-r)) \/ 2<\/span><\/li>\n<li> <span style=\"color: #000000;\">z <sub>r<\/sub> = ln((1+.55) \/ (1-.55)) \/ 2<\/span><\/li>\n<li> <span style=\"color: #000000;\">z <sub>r<\/sub> = 0,618<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">D\u00f6n\u00fc\u015ft\u00fcr\u00fclen bu de\u011fi\u015fkenin <a href=\"https:\/\/statorials.org\/tr\/ornekleme-dagilimi-1\/\" target=\"_blank\" rel=\"noopener\">\u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n<\/a> normal bir da\u011f\u0131l\u0131m izledi\u011fi ortaya \u00e7\u0131kt\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6nemlidir \u00e7\u00fcnk\u00fc Pearson korelasyon katsay\u0131s\u0131 i\u00e7in bir g\u00fcven aral\u0131\u011f\u0131 hesaplamam\u0131za olanak tan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu Fisher Z d\u00f6n\u00fc\u015f\u00fcm\u00fcn\u00fc ger\u00e7ekle\u015ftirmeden Pearson korelasyon katsay\u0131s\u0131 i\u00e7in g\u00fcvenilir bir g\u00fcven aral\u0131\u011f\u0131 hesaplayamay\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, pratikte Pearson korelasyon katsay\u0131s\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Korelasyon katsay\u0131s\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131n hesaplanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Belirli bir il\u00e7ede ya\u015fayanlar\u0131n boy ve kilolar\u0131 aras\u0131ndaki korelasyon katsay\u0131s\u0131n\u0131 tahmin etmek istedi\u011fimizi varsayal\u0131m. 60 sakinden olu\u015fan rastgele bir \u00f6rnek se\u00e7iyoruz ve a\u015fa\u011f\u0131daki bilgileri buluyoruz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc <strong>n = 60<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Boy ve kilo aras\u0131ndaki korelasyon katsay\u0131s\u0131 <strong>r = 0,56<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Pop\u00fclasyon korelasyon katsay\u0131s\u0131 i\u00e7in %95 g\u00fcven aral\u0131\u011f\u0131n\u0131 \u015fu \u015fekilde bulabilirsiniz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Fisher D\u00f6n\u00fc\u015f\u00fcm\u00fcn\u00fc ger\u00e7ekle\u015ftirin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">z <sub>r<\/sub> = ln((1+r) \/ (1-r)) \/ 2 = ln((1+.56) \/ (1-.56)) \/ 2 = <strong>0.6328<\/strong> olsun<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Logun \u00fcst ve alt limitlerini bulun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">L = z <sub>r<\/sub> \u2013 (z <sub>1-\u03b1\/2<\/sub> \/\u221a <span style=\"border-top: 1px solid black;\">n-3<\/span> ) = 0,6328 \u2013 (1,96 \/\u221a <span style=\"border-top: 1px solid black;\">60-3<\/span> ) = <strong>0,373 olsun<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">U = z <sub>r<\/sub> + (z <sub>1-\u03b1\/2<\/sub> \/\u221a <span style=\"border-top: 1px solid black;\">n-3<\/span> ) = 0,6328 + (1,96 \/\u221a <span style=\"border-top: 1px solid black;\">60-3<\/span> ) = <strong>0,892<\/strong> olsun<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: G\u00fcven aral\u0131\u011f\u0131n\u0131 bulun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">G\u00fcven aral\u0131\u011f\u0131 = [(e <sup>2L<\/sup> -1)\/(e <sup>2L<\/sup> +1), (e <sup>2U<\/sup> -1)\/(e <sup>2U<\/sup> +1)]<\/span><\/p>\n<p> <span style=\"color: #000000;\">G\u00fcven aral\u0131\u011f\u0131 = [(e <sup>2(.373)<\/sup> -1)\/(e <sup>2(.373)<\/sup> +1), (e <sup>2(.892)<\/sup> -1)\/(e <sup>2(.892)<\/sup> +1)] = <strong>[ .3568, .7126]<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not:<\/strong> Bu g\u00fcven aral\u0131\u011f\u0131n\u0131 <a href=\"https:\/\/statorials.org\/tr\/guven-araligi-korelasyon-katsayisi-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">Korelasyon Katsay\u0131s\u0131 Hesaplay\u0131c\u0131s\u0131 i\u00e7in G\u00fcven Aral\u0131\u011f\u0131n\u0131<\/a> kullanarak da bulabilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu aral\u0131k bize, a\u011f\u0131rl\u0131k ile pop\u00fclasyon b\u00fcy\u00fckl\u00fc\u011f\u00fc aras\u0131ndaki ger\u00e7ek Pearson korelasyon katsay\u0131s\u0131n\u0131 y\u00fcksek bir g\u00fcvenle i\u00e7ermesi muhtemel bir de\u011fer aral\u0131\u011f\u0131 verir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Fisher Z d\u00f6n\u00fc\u015f\u00fcm\u00fcn\u00fcn \u00f6nemine dikkat edin: Bu, g\u00fcven aral\u0131\u011f\u0131n\u0131 ger\u00e7ekten hesaplayabilmemiz i\u00e7in ger\u00e7ekle\u015ftirmemiz gereken ilk ad\u0131md\u0131.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/pearson-korelasyon-katsayisi-1\/\" target=\"_blank\" rel=\"noopener\">Pearson Korelasyon Katsay\u0131s\u0131na Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/pearson-korelasyon-hipotezleri\/\" target=\"_blank\" rel=\"noopener\">Pearson korelasyonunun be\u015f hipotezi<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/elle-korelasyon-katsayisi\/\" target=\"_blank\" rel=\"noopener\">Pearson Korelasyon Katsay\u0131s\u0131n\u0131 Manuel Olarak Hesaplama<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Fisher Z d\u00f6n\u00fc\u015f\u00fcm\u00fc, Pearson korelasyon katsay\u0131s\u0131n\u0131 (r), Pearson korelasyon katsay\u0131s\u0131 i\u00e7in bir g\u00fcven aral\u0131\u011f\u0131 hesaplamak i\u00e7in kullan\u0131labilecek bir de\u011fere ( zr ) d\u00f6n\u00fc\u015ft\u00fcrmek i\u00e7in kullanabilece\u011fimiz bir form\u00fcld\u00fcr. Form\u00fcl a\u015fa\u011f\u0131daki gibidir: z r = ln((1+r) \/ (1-r)) \/ 2 \u00d6rne\u011fin, iki de\u011fi\u015fken aras\u0131ndaki Pearson korelasyon katsay\u0131s\u0131 r = 0,55 \u00e7\u0131karsa zr&#8217;yi \u015fu \u015fekilde hesaplar\u0131z: z r [&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-2602","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>Fisher Z d\u00f6n\u00fc\u015f\u00fcm\u00fc: tan\u0131m ve \u00f6rnek - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, resmi bir tan\u0131m ve \u00f6rnek de dahil olmak \u00fczere Fisher Z d\u00f6n\u00fc\u015f\u00fcm\u00fcn\u00fcn bir a\u00e7\u0131klamas\u0131 sa\u011flanmaktad\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\/balikci-z-donusumu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Fisher Z d\u00f6n\u00fc\u015f\u00fcm\u00fc: tan\u0131m ve \u00f6rnek - 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