{"id":1551,"date":"2023-07-25T22:24:09","date_gmt":"2023-07-25T22:24:09","guid":{"rendered":"https:\/\/statorials.org\/tr\/cok-terimli-test\/"},"modified":"2023-07-25T22:24:09","modified_gmt":"2023-07-25T22:24:09","slug":"cok-terimli-test","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/cok-terimli-test\/","title":{"rendered":"\u00c7ok terimli test nedir? (tan\u0131m &amp; #038; \u00f6rnek)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Kategorik bir de\u011fi\u015fkenin varsay\u0131msal bir da\u011f\u0131l\u0131m takip edip etmedi\u011fini belirlemek i\u00e7in <strong>\u00e7ok terimli bir test<\/strong> kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu test a\u015fa\u011f\u0131daki bo\u015f ve alternatif <a href=\"https:\/\/statorials.org\/tr\/hipotez-testi-1\/\" target=\"_blank\" rel=\"noopener\">hipotezleri<\/a> kullan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> Kategorik bir de\u011fi\u015fken varsay\u0131msal bir da\u011f\u0131l\u0131m izler.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> Kategorik bir de\u011fi\u015fken varsay\u0131msal da\u011f\u0131l\u0131ma <em>uymaz<\/em> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Testin <a href=\"https:\/\/statorials.org\/tr\/p-degerleri-istatistiksel-anlamlilik\/\" target=\"_blank\" rel=\"noopener\">p de\u011feri<\/a> belirli bir anlaml\u0131l\u0131k d\u00fczeyinin alt\u0131ndaysa (\u00f6rn. \u03b1 = 0,05), o zaman s\u0131f\u0131r hipotezini reddedebilir ve de\u011fi\u015fkenin varsay\u0131lan da\u011f\u0131l\u0131ma uymad\u0131\u011f\u0131 sonucuna varabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu test, bir de\u011fi\u015fken <em>k<\/em> farkl\u0131 sonu\u00e7 alabildi\u011finde kullan\u0131l\u0131r.<\/span> <span style=\"color: #000000;\">\u00c7ok terimli testin klasik bir \u00f6rne\u011fi, belirli zarlar\u0131n adil olup olmad\u0131\u011f\u0131n\u0131 belirlemek istedi\u011fimiz yerdir. Bir zar\u0131 att\u0131\u011f\u0131n\u0131zda, zar\u0131n her say\u0131ya (1&#8217;den 6&#8217;ya kadar) gelme olas\u0131l\u0131\u011f\u0131 1\/6&#8217;d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir zar\u0131n adil olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in onu birka\u00e7 kez atabiliriz ve farkl\u0131 say\u0131lara gelme say\u0131s\u0131n\u0131n bekledi\u011fimizden \u00f6nemli \u00f6l\u00e7\u00fcde farkl\u0131 olup olmad\u0131\u011f\u0131n\u0131 g\u00f6rebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler, R istatistiksel programlama dilini kullanarak \u00e7ok terimli bir testin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Adil Zar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir zar\u0131n adil olup olmad\u0131\u011f\u0131n\u0131 belirlemek istedi\u011fimizi varsayal\u0131m. Bunu test etmek i\u00e7in 30 kez \u00e7al\u0131\u015ft\u0131r\u0131yoruz ve her sonucun s\u0131kl\u0131\u011f\u0131n\u0131 kaydediyoruz. A\u015fa\u011f\u0131daki tablo sonu\u00e7lar\u0131 g\u00f6stermektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15365\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multinomialtest1.png\" alt=\"\u00c7ok terimli test \u00f6rne\u011fi\" width=\"237\" height=\"200\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00c7ok terimli bir test ger\u00e7ekle\u015ftirmek i\u00e7in R&#8217;deki a\u015fa\u011f\u0131daki kod kullan\u0131labilir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #993300;\">library<\/span> (EMT)\n\n<span style=\"color: #008080;\">#specify probability of each outcome\n<\/span>prob &lt;- c(1\/6, 1\/6, 1\/6, 1\/6, 1\/6, 1\/6)\n\n<span style=\"color: #008080;\">#specify frequency of each outcome from experiment\n<\/span>actual &lt;- c(4, 5, 2, 9, 5, 5)\n\n<span style=\"color: #008080;\">#perform multinomial test\n<\/span>multinomial. <span style=\"color: #3366ff;\">test<\/span> (actual, prob)<\/span> \n<span style=\"color: #000000;\">\n Exact Multinomial Test, distance measure: p\n\n    Events pObs p.value\n    324632 0 0.4306<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Testin p de\u011feri <strong>0,4306&#8217;d\u0131r<\/strong> . Bu p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck olmad\u0131\u011f\u0131ndan s\u0131f\u0131r hipotezini reddetmeyece\u011fiz. Yani zarlar\u0131n adil olmad\u0131\u011f\u0131n\u0131 s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z yok.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: \u00dcr\u00fcn sat\u0131\u015flar\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir ma\u011faza sahibinin e\u015fit say\u0131da m\u00fc\u015fterinin d\u00f6rt farkl\u0131 \u00fcr\u00fcn\u00fcn her birini sat\u0131n alaca\u011f\u0131n\u0131 varsayd\u0131\u011f\u0131n\u0131 varsayal\u0131m. Bunu test etmek i\u00e7in belirli bir haftada her \u00fcr\u00fcn\u00fc sat\u0131n alan m\u00fc\u015fteri say\u0131s\u0131n\u0131 kaydeder. A\u015fa\u011f\u0131daki tablo sonu\u00e7lar\u0131 g\u00f6stermektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15366 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multinomialtest2.png\" alt=\"\" width=\"251\" height=\"147\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu veri k\u00fcmesinde \u00e7ok terimli bir test ger\u00e7ekle\u015ftirmek i\u00e7in R&#8217;deki a\u015fa\u011f\u0131daki kod kullan\u0131labilir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #993300;\">library<\/span> (EMT)\n\n<span style=\"color: #008080;\">#specify probability of each outcome\n<\/span>prob &lt;- c(1\/4, 1\/4, 1\/4, 1\/4)\n\n<span style=\"color: #008080;\">#specify frequency of each outcome from experiment\n<\/span>actual &lt;- c(40, 20, 30, 50)\n\n<span style=\"color: #008080;\">#perform multinomial test\n<\/span>multinomial. <span style=\"color: #3366ff;\">test<\/span> (actual, prob)<\/span> \n<span style=\"color: #000000;\">\n Exact Multinomial Test, distance measure: p\n\n    Events pObs p.value\n    477191 0 0.00226<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Testin p de\u011feri <strong>0,00226&#8217;d\u0131r<\/strong> . Bu p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan s\u0131f\u0131r hipotezini reddedece\u011fiz. Yani sat\u0131\u015flar\u0131n her \u00fcr\u00fcn i\u00e7in e\u015fit olmad\u0131\u011f\u0131n\u0131 s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z var.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 3: Bir torbadaki bilyeler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Tom, bir torbadan k\u0131rm\u0131z\u0131, ye\u015fil veya mor bilyeyi se\u00e7me olas\u0131l\u0131\u011f\u0131n\u0131n s\u0131ras\u0131yla 0,2, 0,5 ve 0,3 oldu\u011funu belirtiyor. Bunu test etmek i\u00e7in arkada\u015f\u0131 Mike \u00e7antaya uzan\u0131yor ve 100 farkl\u0131 kez bir misket (yedekleriyle birlikte) \u00e7\u0131kar\u0131yor. A\u015fa\u011f\u0131daki tablo sonu\u00e7lar\u0131 g\u00f6stermektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15367 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multinomialtest3.png\" alt=\"\" width=\"236\" height=\"126\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu veri k\u00fcmesinde \u00e7ok terimli bir test ger\u00e7ekle\u015ftirmek i\u00e7in R&#8217;deki a\u015fa\u011f\u0131daki kod kullan\u0131labilir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #993300;\">library<\/span> (EMT)\n\n<span style=\"color: #008080;\">#specify probability of each outcome\n<\/span>prob &lt;- c(.2, .5, .3)\n\n<span style=\"color: #008080;\">#specify frequency of each outcome from experiment\n<\/span>actual &lt;- c(40, 20, 30, 50)\n\n<span style=\"color: #008080;\">#perform multinomial test\n<\/span>multinomial. <span style=\"color: #3366ff;\">test<\/span> (actual, prob)<\/span> \n<span style=\"color: #000000;\">\n Exact Multinomial Test, distance measure: p\n\n    Events pObs p.value\n      5151 0.0037 0.3999<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Testin p de\u011feri <strong>0,3999&#8217;dur<\/strong> . Bu p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck olmad\u0131\u011f\u0131ndan s\u0131f\u0131r hipotezini reddetmede ba\u015far\u0131s\u0131z olaca\u011f\u0131z. Bu nedenle torbadaki bilyelerin da\u011f\u0131l\u0131m\u0131n\u0131n Tom&#8217;un belirtti\u011finden farkl\u0131 oldu\u011funu s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z yok.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/cok-terimli-dagilim-1\/\" target=\"_blank\" rel=\"noopener\">\u00c7ok Terimli Da\u011f\u0131t\u0131ma Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/cok-terimli-dagilim-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">\u00c7ok Terimli Da\u011f\u0131t\u0131m Hesaplay\u0131c\u0131<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kategorik bir de\u011fi\u015fkenin varsay\u0131msal bir da\u011f\u0131l\u0131m takip edip etmedi\u011fini belirlemek i\u00e7in \u00e7ok terimli bir test kullan\u0131l\u0131r. Bu test a\u015fa\u011f\u0131daki bo\u015f ve alternatif hipotezleri kullan\u0131r: H 0 : Kategorik bir de\u011fi\u015fken varsay\u0131msal bir da\u011f\u0131l\u0131m izler. H A : Kategorik bir de\u011fi\u015fken varsay\u0131msal da\u011f\u0131l\u0131ma uymaz . Testin p de\u011feri belirli bir anlaml\u0131l\u0131k d\u00fczeyinin alt\u0131ndaysa (\u00f6rn. \u03b1 = [&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-1551","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>\u00c7ok terimli test nedir? 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Daha fazlas\u0131n\u0131 bil","sameAs":["https:\/\/statorials.org\/tr"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/1551","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/comments?post=1551"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/1551\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/media?parent=1551"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/categories?post=1551"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/tags?post=1551"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}