{"id":2232,"date":"2023-07-23T03:59:05","date_gmt":"2023-07-23T03:59:05","guid":{"rendered":"https:\/\/statorials.org\/tr\/rde-z-testi\/"},"modified":"2023-07-23T03:59:05","modified_gmt":"2023-07-23T03:59:05","slug":"rde-z-testi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rde-z-testi\/","title":{"rendered":"R&#39;de \u00f6rnek ve i\u0307ki \u00f6rnek z testi nas\u0131l \u00e7al\u0131\u015ft\u0131r\u0131l\u0131r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">R&#8217;de bir \u00f6rnek ve iki \u00f6rnek z testi ger\u00e7ekle\u015ftirmek i\u00e7in <strong>BSDA<\/strong> paketindeki <strong>z.test()<\/strong> i\u015flevini kullanabilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu i\u015flev a\u015fa\u011f\u0131daki temel s\u00f6zdizimini kullan\u0131r:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span class=\"pre\">z.test(x, y, alternative=' <span style=\"color: #ff0000;\">two.sided<\/span> ', mu= <span style=\"color: #008000;\">0 <span style=\"color: #000000;\">,<\/span> <span style=\"color: #000000;\">sigma.x=NULL, sigma.y=NULL,conf.level= <span style=\"color: #008000;\">.95<\/span><\/span><\/span> )<\/span>\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x<\/strong> : ilk \u00f6rne\u011fin de\u011ferleri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>y<\/strong> : ikinci \u00f6rnek i\u00e7in de\u011ferler (iki \u00f6rnekli z testi yap\u0131yorsan\u0131z)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>alternatif<\/strong> : alternatif hipotez (\u201cdaha b\u00fcy\u00fck\u201d, \u201cdaha az\u201d, \u201ciki y\u00fcz\u201d)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>mu<\/strong> : s\u0131f\u0131r fark\u0131n alt\u0131nda ortalama veya ortalama (iki \u00f6rnek durumunda)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>sigma.x<\/strong> : ilk numune pop\u00fclasyonunun standart sapmas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>sigma.y<\/strong> : ikinci numunenin pop\u00fclasyonunun standart sapmas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>conf.level<\/strong> : kullan\u0131lacak g\u00fcven d\u00fczeyi<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler bu fonksiyonun pratikte nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: R&#8217;deki Z test \u00f6rne\u011fi<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Belirli bir pop\u00fclasyonun IQ&#8217;sunun \u03bc = 100 ortalamas\u0131 ve \u03c3 = 15 standart sapmas\u0131 ile normal \u015fekilde da\u011f\u0131ld\u0131\u011f\u0131n\u0131 varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir bilim adam\u0131, yeni bir ilac\u0131n IQ seviyelerini etkileyip etkilemedi\u011fini bilmek istiyor. Bu y\u00fczden bir ay boyunca kullanmak \u00fczere 20 hastay\u0131 i\u015fe al\u0131yor ve ay sonunda IQ seviyelerini kaydediyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, yeni ilac\u0131n IQ seviyelerinde \u00f6nemli bir farkl\u0131l\u0131\u011fa neden olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in R&#8217;de \u00f6rnek z testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">library<\/span> (BSDA)<\/span>\n\n#enter IQ levels for 20 patients\n<\/span>data = c(88, 92, 94, 94, 96, 97, 97, 97, 99, 99,\n         105, 109, 109, 109, 110, 112, 112, 113, 114, 115)\n\n<span style=\"color: #008080;\">#perform one sample z-test\n<\/span>z.test(data, mu= <span style=\"color: #008000;\">100 <span style=\"color: #000000;\">, sigma.x=<\/span> 15<\/span> )\n\n\tOne-sample z-Test\n\ndata:data\nz = 0.90933, p-value = 0.3632\nalternative hypothesis: true mean is not equal to 100\n95 percent confidence interval:\n  96.47608 109.62392\nsample estimates:\nmean of x \n   103.05 \n<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Tek \u00f6rnekli z testi i\u00e7in test istatisti\u011fi <strong>0,90933&#8217;t\u00fcr<\/strong> ve buna kar\u015f\u0131l\u0131k gelen p de\u011feri <strong>0,3632&#8217;dir<\/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 yeni ilac\u0131n IQ seviyesini \u00f6nemli \u00f6l\u00e7\u00fcde etkilemedi\u011fi sonucuna var\u0131yoruz.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: R&#8217;de iki \u00f6rnekli Z testi<\/strong><\/span><\/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. B\u00f6ylece 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;\">A\u015fa\u011f\u0131daki kod, ortalama IQ d\u00fczeyinin iki \u015fehir aras\u0131nda farkl\u0131 olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in R&#8217;de iki \u00f6rnekli z testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">library <span style=\"color: #000000;\">(BSDA)<\/span>\n<\/span>\n<span style=\"color: #008080;\">#enter IQ levels for 20 individuals from each city\n<\/span><span style=\"color: #000000;\">cityA = c(82, 84, 85, 89, 91, 91, 92, 94, 99, 99,\n         105, 109, 109, 109, 110, 112, 112, 113, 114, 114)\n\ncityB = c(90, 91, 91, 91, 95, 95, 99, 99, 108, 109,\n         109, 114, 115, 116, 117, 117, 128, 129, 130, 133)\n\n<\/span><span style=\"color: #008080;\">#perform two sample z-test\n<\/span><span style=\"color: #000000;\">z.test(x=cityA, y=cityB, mu=<\/span> <span style=\"color: #008000;\">0<\/span> <span style=\"color: #000000;\">, sigma.x= <span style=\"color: #008000;\">15<\/span> , sigma.y= <span style=\"color: #008000;\">15<\/span> )\n\n\tTwo-sample z-Test\n\ndata: cityA and cityB\nz = -1.7182, p-value = 0.08577\nalternative hypothesis: true difference in means is not equal to 0\n95 percent confidence interval:\n -17.446925 1.146925\nsample estimates:\nmean of x mean of y \n   100.65 108.80\n<\/span><\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">\u0130ki \u00f6rnekli z testi i\u00e7in test istatisti\u011fi <strong>-1,7182&#8217;dir<\/strong> ve kar\u015f\u0131l\u0131k gelen p de\u011feri <strong>0,08577&#8217;dir.<\/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<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde R&#8217;de di\u011fer yayg\u0131n istatistiksel testlerin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/rde-bir-oranti-z-testi\/\" target=\"_blank\" rel=\"noopener\">Tek oranl\u0131 Z testi nas\u0131l yap\u0131l\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/eslestirilmis-ornekler-t-testi-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de e\u015fle\u015ftirilmi\u015f \u00f6rnekler t testi nas\u0131l yap\u0131l\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rde-welch-t-testi\/\" target=\"_blank\" rel=\"noopener\">Welch&#8217;in t testi R&#8217;de nas\u0131l ger\u00e7ekle\u015ftirilir?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>R&#8217;de bir \u00f6rnek ve iki \u00f6rnek z testi ger\u00e7ekle\u015ftirmek i\u00e7in BSDA paketindeki z.test() i\u015flevini kullanabilirsiniz. Bu i\u015flev a\u015fa\u011f\u0131daki temel s\u00f6zdizimini kullan\u0131r: z.test(x, y, alternative=&#8217; two.sided &#8216;, mu= 0 , sigma.x=NULL, sigma.y=NULL,conf.level= .95 ) Alt\u0131n: x : ilk \u00f6rne\u011fin de\u011ferleri y : ikinci \u00f6rnek i\u00e7in de\u011ferler (iki \u00f6rnekli z testi yap\u0131yorsan\u0131z) alternatif : alternatif hipotez (\u201cdaha [&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-2232","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>R - Statorials&#039;de tek \u00f6rnekli ve iki \u00f6rnekli Z testleri nas\u0131l yap\u0131l\u0131r?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, R&#039;de tek \u00f6rnekli ve iki \u00f6rnekli z testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi \u00e7e\u015fitli \u00f6rneklerle birlikte 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\/rde-z-testi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R - 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