{"id":1816,"date":"2023-07-24T21:14:08","date_gmt":"2023-07-24T21:14:08","guid":{"rendered":"https:\/\/statorials.org\/tr\/rde-hipotez-testi\/"},"modified":"2023-07-24T21:14:08","modified_gmt":"2023-07-24T21:14:08","slug":"rde-hipotez-testi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rde-hipotez-testi\/","title":{"rendered":"Tam k\u0131lavuz: r&#39;de hipotez testi"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/hipotez-testi-1\/\" target=\"_blank\" rel=\"noopener\">Hipotez testi,<\/a> istatistiksel bir hipotezi reddetmek veya reddetmek i\u00e7in kulland\u0131\u011f\u0131m\u0131z resmi bir istatistiksel testtir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde R&#8217;de a\u015fa\u011f\u0131daki hipotez testlerinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6rnek bir t testi<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130ki \u00f6rnekli T testi<\/span><\/li>\n<li> <span style=\"color: #000000;\">E\u015fle\u015ftirilmi\u015f \u00f6rnekler t testi<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Her test t\u00fcr\u00fcn\u00fc ger\u00e7ekle\u015ftirmek i\u00e7in R&#8217;deki <strong>t.test()<\/strong> i\u015flevini kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#one sample t-test<\/span>\nt. <span style=\"color: #3366ff;\">test<\/span> (x, y = NULL,\n       alternative = c(\" <span style=\"color: #ff0000;\">two.sided<\/span> \", \" <span style=\"color: #ff0000;\">less<\/span> \", \" <span style=\"color: #ff0000;\">greater<\/span> \"),\n       mu = 0, paired = FALSE, var.equal = <span style=\"color: #008000;\">FALSE<\/span> ,\n       conf.level = 0.95, \u2026)<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x, y:<\/strong> iki veri \u00f6rne\u011fi.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>alternatif:<\/strong> Testin alternatif hipotezi.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>mu:<\/strong> Ortalaman\u0131n ger\u00e7ek de\u011feri.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>e\u015fle\u015ftirilmi\u015f:<\/strong> e\u015fle\u015ftirilmi\u015f bir t testi ger\u00e7ekle\u015ftirilip ger\u00e7ekle\u015ftirilmeyece\u011fi.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>var.equal:<\/strong> \u00f6rnekler aras\u0131ndaki <a href=\"https:\/\/statorials.org\/tr\/esit-veya-esit-olmayan-varyansi-belirlemek\/\" target=\"_blank\" rel=\"noopener\">varyanslar\u0131n e\u015fit oldu\u011funun<\/a> varsay\u0131l\u0131p kabul edilmeyece\u011fi.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>conf.level:<\/strong> Kullan\u0131lacak <a href=\"https:\/\/statorials.org\/tr\/guven-duzeyi-ve-guven-araligi\/\" target=\"_blank\" rel=\"noopener\">g\u00fcven d\u00fczeyi<\/a> .<\/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<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: R&#8217;de tek \u00f6rnekli t testi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/ornek-t-testi\/\" target=\"_blank\" rel=\"noopener\">Tek \u00f6rnekli t testi,<\/a> bir pop\u00fclasyonun ortalamas\u0131n\u0131n belirli bir de\u011fere e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir kaplumba\u011fa t\u00fcr\u00fcn\u00fcn ortalama a\u011f\u0131rl\u0131\u011f\u0131n\u0131n 310 pound olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m. D\u0131\u015far\u0131 \u00e7\u0131k\u0131p a\u015fa\u011f\u0131daki a\u011f\u0131rl\u0131klara sahip basit ve rastgele bir kaplumba\u011fa \u00f6rne\u011fi topluyoruz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>A\u011f\u0131rl\u0131k<\/strong> : 300, 315, 320, 311, 314, 309, 300, 308, 305, 303, 305, 301, 303<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, bu t testi \u00f6rne\u011finin R&#8217;de nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define vector of turtle weights\n<span style=\"color: #000000;\">turtle_weights &lt;- c(300, 315, 320, 311, 314, 309, 300, 308, 305, 303, 305, 301, 303)<\/span>\n\n#perform one sample t-test<\/span>\nt. <span style=\"color: #3366ff;\">test<\/span> (x=turtle_weights,mu=310)\n\n\tOne Sample t-test\n\ndata: turtle_weights\nt = -1.5848, df = 12, p-value = 0.139\nalternative hypothesis: true mean is not equal to 310\n95 percent confidence interval:\n 303.4236 311.0379\nsample estimates:\nmean of x \n 307.2308<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonu\u00e7tan \u015funu g\u00f6rebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">t-testi istatisti\u011fi: <strong>-1,5848<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">serbestlik derecesi: <strong>12<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">p de\u011feri: <strong>0,139<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Ger\u00e7ek ortalama i\u00e7in %95 g\u00fcven aral\u0131\u011f\u0131: <strong>[303.4236, 311.0379]<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Kaplumba\u011falar\u0131n ortalama a\u011f\u0131rl\u0131\u011f\u0131: <strong>307.230<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Testin p de\u011feri (0,139) 0,05&#8217;ten az olmad\u0131\u011f\u0131ndan s\u0131f\u0131r hipotezini reddedemiyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, bu kaplumba\u011fa t\u00fcr\u00fcn\u00fcn ortalama a\u011f\u0131rl\u0131\u011f\u0131n\u0131n 310 pounddan ba\u015fka bir \u015fey oldu\u011funu s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z olmad\u0131\u011f\u0131 anlam\u0131na geliyor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: R&#8217;de iki \u00f6rnekli t testi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/iki-orneginizi-test-edin\/\" target=\"_blank\" rel=\"noopener\">\u0130ki \u00f6rneklem t testi,<\/a> iki pop\u00fclasyonun ortalamalar\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin iki farkl\u0131 kaplumba\u011fa t\u00fcr\u00fcn\u00fcn ortalama a\u011f\u0131rl\u0131\u011f\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m. Bunu test etmek i\u00e7in her t\u00fcrden a\u015fa\u011f\u0131daki a\u011f\u0131rl\u0131klara sahip basit ve rastgele bir kaplumba\u011fa \u00f6rne\u011fi topluyoruz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek 1<\/strong> : 300, 315, 320, 311, 314, 309, 300, 308, 305, 303, 305, 301, 303<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek 2<\/strong> : 335, 329, 322, 321, 324, 319, 304, 308, 305, 311, 307, 300, 305<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, bu iki t testi \u00f6rne\u011finin R&#8217;de nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define vector of turtle weights for each sample\n<span style=\"color: #000000;\">sample1 &lt;- c(300, 315, 320, 311, 314, 309, 300, 308, 305, 303, 305, 301, 303)<\/span>\n<span style=\"color: #000000;\">sample2 &lt;- c(335, 329, 322, 321, 324, 319, 304, 308, 305, 311, 307, 300, 305)<\/span>\n\n#perform two sample t-tests<\/span>\nt. <span style=\"color: #3366ff;\">test<\/span> (x = sample1, y = sample2)\n\n\tWelch Two Sample t-test\n\ndata: sample1 and sample2\nt = -2.1009, df = 19.112, p-value = 0.04914\nalternative hypothesis: true difference in means is not equal to 0\n95 percent confidence interval:\n -14.73862953 -0.03060124\nsample estimates:\nmean of x mean of y \n 307.2308 314.6154<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonu\u00e7tan \u015funu g\u00f6rebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">t-testi istatisti\u011fi: <strong>-2.1009<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">serbestlik derecesi: <strong>19.112<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">p-de\u011feri: <strong>0,04914<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Ger\u00e7ek ortalama fark i\u00e7in %95 g\u00fcven aral\u0131\u011f\u0131: <strong>[-14,74, -0,03]<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">1. numunenin ortalama a\u011f\u0131rl\u0131\u011f\u0131: <strong>307.2308<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">2. numunenin ortalama a\u011f\u0131rl\u0131\u011f\u0131: <strong>314.6154<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Testin p de\u011feri (0,04914) 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan s\u0131f\u0131r hipotezini reddediyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, iki t\u00fcr aras\u0131ndaki ortalama a\u011f\u0131rl\u0131\u011f\u0131n e\u015fit olmad\u0131\u011f\u0131n\u0131 s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z oldu\u011fu anlam\u0131na geliyor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 3: R&#8217;de e\u015fle\u015ftirilmi\u015f \u00f6rnekler t testi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/eslestirilmis-ornekler-t-testi\/\" target=\"_blank\" rel=\"noopener\">E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi,<\/a> bir \u00f6rnekteki her g\u00f6zlemin di\u011fer \u00f6rnekteki bir g\u00f6zlemle ili\u015fkilendirilebildi\u011fi durumlarda iki \u00f6rne\u011fin ortalamalar\u0131n\u0131 kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir antrenman program\u0131n\u0131n basketbolcular\u0131n maksimum dikey s\u0131\u00e7ramas\u0131n\u0131 (in\u00e7 cinsinden) art\u0131rma kapasitesine sahip olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu test etmek i\u00e7in, 12 kolej basketbol oyuncusundan olu\u015fan basit rastgele bir \u00f6rnek alabilir ve onlar\u0131n maksimum dikey s\u0131\u00e7ramalar\u0131n\u0131n her birini \u00f6l\u00e7ebiliriz. Daha sonra her oyuncunun bir ay boyunca antrenman program\u0131n\u0131 kullanmas\u0131n\u0131 sa\u011flayabiliriz ve ay sonunda maksimum dikey s\u0131\u00e7ramalar\u0131n\u0131 tekrar \u00f6l\u00e7ebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki veriler, her oyuncunun antrenman program\u0131n\u0131 kullanmadan \u00f6nceki ve sonraki maksimum atlama y\u00fcksekli\u011fini (in\u00e7 cinsinden) g\u00f6sterir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6n<\/strong> : 22, 24, 20, 19, 19, 20, 22, 25, 24, 23, 22, 21<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Sonra<\/strong> : 23, 25, 20, 24, 18, 22, 23, 28, 24, 25, 24, 20<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, bu e\u015fle\u015ftirilmi\u015f \u00f6rnekler t testinin R&#8217;de nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define before and after max jump heights\n<span style=\"color: #000000;\">before &lt;- c(22, 24, 20, 19, 19, 20, 22, 25, 24, 23, 22, 21)<\/span>\n<span style=\"color: #000000;\">after &lt;- c(23, 25, 20, 24, 18, 22, 23, 28, 24, 25, 24, 20)<\/span>\n\n#perform paired samples t-test<\/span>\nt. <span style=\"color: #3366ff;\">test<\/span> (x = before, y = after, paired = <span style=\"color: #008000;\">TRUE<\/span> )\n\n\tPaired t-test\n\ndata: before and after\nt = -2.5289, df = 11, p-value = 0.02803\nalternative hypothesis: true difference in means is not equal to 0\n95 percent confidence interval:\n -2.3379151 -0.1620849\nsample estimates:\nmean of the differences \n                  -1.25<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonu\u00e7tan \u015funlar\u0131 g\u00f6rebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">t-testi istatisti\u011fi: <strong>-2,5289<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">serbestlik derecesi: <strong>11<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">p-de\u011feri: <strong>0,02803<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Ger\u00e7ek ortalama fark i\u00e7in %95 g\u00fcven aral\u0131\u011f\u0131: <strong>[-2,34, -0,16]<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00d6ncesi ve sonras\u0131 aras\u0131ndaki ortalama fark: <strong>-1,25<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Testin p de\u011feri (0,02803) 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan s\u0131f\u0131r hipotezini reddediyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, antrenman program\u0131n\u0131 kullanmadan \u00f6nceki ve sonraki ortalama atlama y\u00fcksekli\u011finin e\u015fit olmad\u0131\u011f\u0131n\u0131 s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z oldu\u011fu anlam\u0131na gelir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00c7e\u015fitli t testlerini otomatik olarak ger\u00e7ekle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki \u00e7evrimi\u00e7i hesap makinelerini kullan\u0131n:<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/tr\/ornek-bir-t-testi-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">Bir t-testi hesap makinesi \u00f6rne\u011fi<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/ta-test-hesap-makinesi-iki-ornek\/\" target=\"_blank\" rel=\"noopener\">\u0130ki \u00f6rnekli t testi hesaplay\u0131c\u0131s\u0131<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/eslestirilmis-ornekler-t-testi-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">E\u015fle\u015ftirilmi\u015f \u00d6rnekler t-Testi Hesaplay\u0131c\u0131<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Hipotez testi, istatistiksel bir hipotezi reddetmek veya reddetmek i\u00e7in kulland\u0131\u011f\u0131m\u0131z resmi bir istatistiksel testtir. Bu e\u011fitimde R&#8217;de a\u015fa\u011f\u0131daki hipotez testlerinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r: \u00d6rnek bir t testi \u0130ki \u00f6rnekli T testi E\u015fle\u015ftirilmi\u015f \u00f6rnekler t testi Her test t\u00fcr\u00fcn\u00fc ger\u00e7ekle\u015ftirmek i\u00e7in R&#8217;deki t.test() i\u015flevini kullanabiliriz: #one sample t-test t. test (x, y = NULL, alternative = [&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-1816","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>Tam K\u0131lavuz: R&#039;de Hipotez Testi<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, 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