{"id":4534,"date":"2023-07-10T08:12:59","date_gmt":"2023-07-10T08:12:59","guid":{"rendered":"https:\/\/statorials.org\/tr\/hava-kilidinde-iki-oranli-z-testi\/"},"modified":"2023-07-10T08:12:59","modified_gmt":"2023-07-10T08:12:59","slug":"hava-kilidinde-iki-oranli-z-testi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/hava-kilidinde-iki-oranli-z-testi\/","title":{"rendered":"Sas&#39;ta iki oranl\u0131 z testi nas\u0131l yap\u0131l\u0131r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130ki n\u00fcfus oran\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in <strong>iki oranl\u0131 z testi<\/strong> kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu test a\u015fa\u011f\u0131daki s\u0131f\u0131r hipotezini kullan\u0131r:<\/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 oran\u0131 e\u015fittir)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Alternatif hipotez iki tarafl\u0131, sol veya sa\u011f olabilir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> (iki kuyruklu):<\/strong> \u03c0 <strong><sub>1<\/sub><\/strong> \u2260 \u03c0 <sub>2<\/sub> (iki pop\u00fclasyon oran\u0131 e\u015fit de\u011fildir)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> (solda):<\/strong> \u03c0 <sub>1<\/sub> &lt; \u03c0 <sub>2<\/sub> (n\u00fcfus 1&#8217;in oran\u0131, n\u00fcfus 2&#8217;nin oran\u0131ndan azd\u0131r)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> (sa\u011f):<\/strong> \u03c0 <strong><sub>1<\/sub><\/strong> &gt; \u03c0 <sub>2<\/sub> (n\u00fcfus 1&#8217;in oran\u0131, n\u00fcfus 2&#8217;nin oran\u0131ndan daha b\u00fcy\u00fckt\u00fcr)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Z testi istatisti\u011fini hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullan\u0131r\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>z<\/strong> = (p <sub>1<\/sub> -p <sub>2<\/sub> ) \/ \u221a <span style=\"border-top: 1px solid black;\">p(1-p)(1\/n <sub>1<\/sub> +1\/n <sub>2<\/sub> )<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">burada p <sub>1<\/sub> ve p <sub>2<\/sub> \u00f6rnek oranlar\u0131d\u0131r, n <sub>1<\/sub> ve n <sub>2<\/sub> \u00f6rnek boyutlar\u0131d\u0131r ve p a\u015fa\u011f\u0131daki \u015fekilde hesaplanan toplam havuzlanm\u0131\u015f orand\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">p = (p <sub>1<\/sub> n <sub>1<\/sub> + p <sub>2<\/sub> n <sub>2<\/sub> )\/(n <sub>1<\/sub> + n <sub>2<\/sub> )<\/span><\/p>\n<p> <span style=\"color: #000000;\">Z testi istatisti\u011fine kar\u015f\u0131l\u0131k gelen p de\u011feri se\u00e7ilen anlaml\u0131l\u0131k seviyesinden k\u00fc\u00e7\u00fckse (ortak se\u00e7enekler 0,10, 0,05 ve 0,01&#8217;dir), o zaman s\u0131f\u0131r hipotezini reddedebilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, SAS&#8217;ta iki oranl\u0131 z testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir.<\/span><\/p>\n<h2> <strong><span style=\"color: #000000;\">\u00d6rnek: SAS&#8217;ta \u0130ki Oranl\u0131 Z Testi<\/span><\/strong><\/h2>\n<p> <span style=\"color: #000000;\">A \u0130l\u00e7esinde belirli bir yasay\u0131 destekleyen sakinlerin oran\u0131 ile B \u0130l\u00e7esinde yasay\u0131 destekleyen sakinlerin oran\u0131 aras\u0131nda bir fark olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu test etmek i\u00e7in her il\u00e7eden rastgele 50 sakinden olu\u015fan bir \u00f6rnek topluyoruz ve ka\u00e7\u0131n\u0131n yasay\u0131 destekledi\u011fini say\u0131yoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, her il\u00e7ede yasay\u0131 destekleyen sakinlerin say\u0131s\u0131n\u0131 \u00f6zetleyen bir veri k\u00fcmesinin nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">\/*create dataset*\/\n<\/span><span style=\"color: #800080;\">data<\/span> my_data;\n    <span style=\"color: #3366ff;\">input<\/span> county $status $count;\n    <span style=\"color: #3366ff;\">datalines<\/span> ;\nA Bracket 34\nA Reject 16\nB Bracket 29\nB Reject 21\n;\n<span style=\"color: #800080;\">run<\/span> ;\n\n<span style=\"color: #008000;\">\/*view dataset*\/\n<\/span><span style=\"color: #800080;\">proc print<\/span> <span style=\"color: #3366ff;\">data<\/span> =my_data;\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-35419 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/zsas1.png\" alt=\"\" width=\"256\" height=\"152\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra iki oranl\u0131 z testini ger\u00e7ekle\u015ftirmek i\u00e7in <strong>PROC FREQ<\/strong> ifadesini <strong>Riskdiff (equal var = null)<\/strong> se\u00e7ene\u011fiyle birlikte kullanabiliriz:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">\/*perform two proportion z-test*\/\n<\/span><span style=\"color: #800080;\">proc freq<\/span> <span style=\"color: #3366ff;\">data<\/span> =my_data;\n    <span style=\"color: #3366ff;\">weightcount<\/span> ;\n    county <span style=\"color: #3366ff;\">tables<\/span> * status \/ <span style=\"color: #3366ff;\">riskdiff<\/span> ( <span style=\"color: #3366ff;\">equal var<\/span> = null);\n<span style=\"color: #800080;\">run<\/span> ;<\/strong><\/span> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-35420\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/zsas2.png\" alt=\"SAS'ta iki oranl\u0131 z testi\" width=\"450\" height=\"728\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Sonu\u00e7 tablosundaki <strong>Risk Fark\u0131 Testi&#8217;nden<\/strong> a\u015fa\u011f\u0131daki bilgileri g\u00f6rebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Z testi istatisti\u011fi: <strong>-1.0356<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130ki tarafl\u0131 p de\u011feri: <strong>0,3004<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu \u00f6zel iki oranl\u0131 z testi a\u015fa\u011f\u0131daki varsay\u0131mlar\u0131 kulland\u0131:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03c0 <strong><sub>1<\/sub><\/strong> = \u03c0 <sub>2<\/sub> (iki pop\u00fclasyon oran\u0131 e\u015fittir)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> :<\/strong> \u03c0 <strong><sub>1<\/sub><\/strong> \u2260 \u03c0 <sub>2<\/sub> (iki pop\u00fclasyon oran\u0131 e\u015fit de\u011fildir)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00c7\u0131kt\u0131daki p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck olmad\u0131\u011f\u0131ndan s\u0131f\u0131r hipotezini reddedemiyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, bu yasay\u0131 destekleyen sakinlerin oran\u0131n\u0131n iki il\u00e7e aras\u0131nda farkl\u0131 oldu\u011funu s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z olmad\u0131\u011f\u0131 anlam\u0131na geliyor.<\/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 SAS&#8217;ta di\u011fer yayg\u0131n istatistiksel testlerin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/hava-kilidinde-bir-test-ornegi\/\" target=\"_blank\" rel=\"noopener\">SAS&#8217;ta tek \u00f6rnekli t testi nas\u0131l yap\u0131l\u0131r?<\/a><br \/> SAS&#8217;ta iki \u00f6rnekli t testi nas\u0131l yap\u0131l\u0131r?<br \/> <a href=\"https:\/\/statorials.org\/tr\/sasta-eslestirilmis-t-testi\/\" target=\"_blank\" rel=\"noopener\">SAS&#8217;ta e\u015fle\u015ftirilmi\u015f \u00f6rnekler t testi nas\u0131l ger\u00e7ekle\u015ftirilir?<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130ki n\u00fcfus oran\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in iki oranl\u0131 z testi kullan\u0131l\u0131r. Bu test a\u015fa\u011f\u0131daki s\u0131f\u0131r hipotezini kullan\u0131r: H 0 : \u03bc 1 = \u03bc 2 (iki pop\u00fclasyon oran\u0131 e\u015fittir) Alternatif hipotez iki tarafl\u0131, sol veya sa\u011f olabilir: H 1 (iki kuyruklu): \u03c0 1 \u2260 \u03c0 2 (iki pop\u00fclasyon [&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-4534","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>SAS&#039;ta iki oranl\u0131 Z testi nas\u0131l yap\u0131l\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, SAS&#039;ta iki oranl\u0131 z testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi \u00e7e\u015fitli \u00f6rneklerle 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\/hava-kilidinde-iki-oranli-z-testi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"SAS&#039;ta iki oranl\u0131 Z testi nas\u0131l yap\u0131l\u0131r - 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