{"id":3295,"date":"2023-07-18T06:02:54","date_gmt":"2023-07-18T06:02:54","guid":{"rendered":"https:\/\/statorials.org\/tr\/z-degeri-ve-p-degeri\/"},"modified":"2023-07-18T06:02:54","modified_gmt":"2023-07-18T06:02:54","slug":"z-degeri-ve-p-degeri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/z-degeri-ve-p-degeri\/","title":{"rendered":"I\u0307statistiklerde z de\u011ferleri ile p de\u011ferleri aras\u0131ndaki fark"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u00d6\u011frencilerin istatistikte s\u0131kl\u0131kla kar\u0131\u015ft\u0131rd\u0131\u011f\u0131 iki terim <strong>z de\u011ferleri<\/strong> ve <strong>p de\u011ferleridir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu terimler aras\u0131ndaki fark\u0131 anlamak i\u00e7in <strong>z testlerini<\/strong> anlamak yard\u0131mc\u0131 olur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki yayg\u0131n z testi t\u00fcr\u00fc vard\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Tek \u00f6rnek z testi<\/strong> : Bir pop\u00fclasyon ortalamas\u0131n\u0131n belirli bir de\u011fere e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131l\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u0130ki \u00f6rnekli z testi<\/strong> : \u0130ki pop\u00fclasyon ortalamas\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131l\u0131r.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Her testi ger\u00e7ekle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullan\u0131r\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Ad\u0131m 1:<\/strong> Bo\u015f ve alternatif hipotezleri belirtin.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Ad\u0131m 2:<\/strong> z de\u011ferini hesaplay\u0131n.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Ad\u0131m 3:<\/strong> Z de\u011ferine kar\u015f\u0131l\u0131k gelen p de\u011ferini hesaplay\u0131n.<\/span> <\/li>\n<\/ul>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-27862\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/zp1.jpg\" alt=\"z de\u011feri ve p de\u011feri\" width=\"289\" height=\"460\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Her test i\u00e7in <strong>z de\u011feri<\/strong> , pop\u00fclasyon ortalamalar\u0131 aras\u0131ndaki fark\u0131 \u00f6l\u00e7menin bir yoludur ve <strong>p de\u011feri,<\/strong> en az\u0131ndan &#8216;\u00f6rnek&#8217;te ger\u00e7ekten g\u00f6zlemledi\u011fimiz kadar b\u00fcy\u00fck bir mutlak de\u011fere sahip bir z de\u011feri elde etme olas\u0131l\u0131\u011f\u0131d\u0131r. S\u0131f\u0131r hipotezi ger\u00e7ekten do\u011fruysa veriler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">E\u011fer p de\u011feri belirli bir de\u011ferden (\u00f6rne\u011fin 0,05) k\u00fc\u00e7\u00fckse, testin <a href=\"https:\/\/statorials.org\/tr\/sifir-hipotezi-ne-zaman-reddedilir\/\" target=\"_blank\" rel=\"noopener\">s\u0131f\u0131r hipotezini reddederiz<\/a> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her z testi t\u00fcr\u00fc i\u00e7in <strong>p de\u011feriyle<\/strong> ilgileniyoruz ve <strong>z de\u011ferini,<\/strong> p de\u011ferini hesaplamak i\u00e7in bir ara ad\u0131m olarak kullan\u0131yoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, iki \u00f6rnekli bir z testi i\u00e7in z de\u011ferinin ve kar\u015f\u0131l\u0131k gelen p de\u011ferinin nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve yorumlanaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h2> <strong><span style=\"color: #000000;\">\u00d6rnek: Z De\u011ferlerini ve P De\u011ferlerini Hesaplay\u0131n ve Yorumlay\u0131n<\/span><\/strong><\/h2>\n<p> <span style=\"color: #000000;\">\u0130ki farkl\u0131 \u015fehirdeki bireylerin IQ d\u00fczeylerinin normal da\u011f\u0131ld\u0131\u011f\u0131n\u0131 ve her birinin n\u00fcfus standart sapmas\u0131n\u0131n 15 oldu\u011funu varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir bilim insan\u0131, A kentindeki ve B kentindeki bireylerin ortalama IQ d\u00fczeylerinin farkl\u0131 olup olmad\u0131\u011f\u0131n\u0131 bilmek istiyor. Bu nedenle her \u015fehirden 20 ki\u015fiden olu\u015fan <a href=\"https:\/\/statorials.org\/tr\/ornekleme-yontemleri\/\" target=\"_blank\" rel=\"noopener\">basit rastgele bir \u00f6rnek<\/a> se\u00e7iyor ve IQ seviyelerini kaydediyor:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>A \u015eehri<\/strong> : 82, 84, 85, 89, 91, 91, 92, 94, 99, 99, 105, 109, 109, 109, 110, 112, 112, 113, 114, 114<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>B \u015eehri<\/strong> : 90, 91, 91, 91, 95, 95, 99, 99, 108, 109, 109, 114, 115, 116, 117, 117, 128, 129, 130, 133<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu verileri kullanarak iki \u00f6rnekli z testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Bo\u015f ve alternatif hipotezleri belirtin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6ncelikle bo\u015f ve alternatif hipotezleri belirtelim:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc <sub>1<\/sub> = \u03bc <sub>2<\/sub> (iki pop\u00fclasyon ortalamas\u0131 e\u015fittir)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> :<\/strong> \u03bc <sub>1<\/sub> \u2260 \u03bc <sub>2<\/sub> (iki pop\u00fclasyon ortalamas\u0131 e\u015fit de\u011fildir)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: z de\u011ferini hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra bu verileri kullanarak <a href=\"https:\/\/statorials.org\/tr\/excelde-z-testi\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de iki \u00f6rnekli bir z testi<\/a> ger\u00e7ekle\u015ftirece\u011fiz ve z de\u011ferinin <strong>-1,71817<\/strong> oldu\u011funu bulaca\u011f\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: P de\u011ferini hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">-1,71817&#8217;nin az de\u011ferine kar\u015f\u0131l\u0131k gelen p de\u011ferinin 0,08577 oldu\u011funu bulmak i\u00e7in Z puan\u0131 &#8211; P de\u011feri hesaplay\u0131c\u0131s\u0131n\u0131 kullanabiliriz<\/span> <span style=\"color: #000000;\"><strong>.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck olmad\u0131\u011f\u0131ndan s\u0131f\u0131r hipotezini reddetmek i\u00e7in yeterli kan\u0131t\u0131m\u0131z yok.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla ortalama IQ seviyesinin iki \u015fehir aras\u0131nda \u00f6nemli \u00f6l\u00e7\u00fcde farkl\u0131 olmad\u0131\u011f\u0131 sonucuna var\u0131yoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">P de\u011ferini hesaplamak i\u00e7in z de\u011ferini yaln\u0131zca bir ara ad\u0131m olarak kulland\u0131\u011f\u0131m\u0131z\u0131 unutmay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\">P de\u011feri ilgilendi\u011fimiz ger\u00e7ek de\u011ferdi ancak \u00f6nce z de\u011ferini hesaplamam\u0131z gerekiyordu.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde \u00e7e\u015fitli istatistiksel yaz\u0131l\u0131mlar kullan\u0131larak z testlerinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/excelde-z-testi\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de Z Testleri Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rde-z-testi\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de Z testleri nas\u0131l yap\u0131l\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/z-testi-pitonu\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da Z Testleri Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00d6\u011frencilerin istatistikte s\u0131kl\u0131kla kar\u0131\u015ft\u0131rd\u0131\u011f\u0131 iki terim z de\u011ferleri ve p de\u011ferleridir . Bu terimler aras\u0131ndaki fark\u0131 anlamak i\u00e7in z testlerini anlamak yard\u0131mc\u0131 olur. \u0130ki yayg\u0131n z testi t\u00fcr\u00fc vard\u0131r: Tek \u00f6rnek z testi : Bir pop\u00fclasyon ortalamas\u0131n\u0131n belirli bir de\u011fere e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131l\u0131r. \u0130ki \u00f6rnekli z testi : \u0130ki pop\u00fclasyon ortalamas\u0131n\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-3295","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>\u0130statistiklerde Z de\u011ferleri ile P de\u011ferleri aras\u0131ndaki fark - Statoryaller<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde istatistikteki z de\u011ferleri ile p de\u011ferleri aras\u0131ndaki fark birka\u00e7 \u00f6rnekle 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\/z-degeri-ve-p-degeri\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0130statistiklerde Z de\u011ferleri ile P de\u011ferleri aras\u0131ndaki fark - 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