{"id":498,"date":"2023-07-29T17:16:51","date_gmt":"2023-07-29T17:16:51","guid":{"rendered":"https:\/\/statorials.org\/tr\/dixons-q-testi-aykiri-degerleri\/"},"modified":"2023-07-29T17:16:51","modified_gmt":"2023-07-29T17:16:51","slug":"dixons-q-testi-aykiri-degerleri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/dixons-q-testi-aykiri-degerleri\/","title":{"rendered":"Dixon&#39;\u0131n q testi: tan\u0131m + \u00f6rnek"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Genellikle basit\u00e7e <strong>Q<\/strong> Testi olarak adland\u0131r\u0131lan <strong>Dixon&#8217;\u0131n Q Testi<\/strong> , bir veri k\u00fcmesindeki ayk\u0131r\u0131 de\u011ferleri tespit etmek i\u00e7in kullan\u0131lan istatistiksel bir testtir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Q testi istatisti\u011fi:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Q<\/strong> = |x <sub>a<\/sub> \u2013 <sub>xb<\/sub> | \/R<\/span><\/p>\n<p> <span style=\"color: #000000;\">burada <strong>x <sub>a<\/sub><\/strong> \u015f\u00fcpheli ayk\u0131r\u0131 de\u011ferdir, <strong>x <sub>b<\/sub><\/strong> x <sub>a&#8217;ya<\/sub> en yak\u0131n veri noktas\u0131d\u0131r ve <strong>R<\/strong> veri k\u00fcmesinin aral\u0131\u011f\u0131d\u0131r.<\/span> <span style=\"color: #000000;\">\u00c7o\u011fu durumda <sub>xa<\/sub> , veri k\u00fcmesinin maksimum de\u011feridir ancak minimum de\u011fer de olabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Q testinin genellikle k\u00fc\u00e7\u00fck veri k\u00fcmeleri \u00fczerinde yap\u0131ld\u0131\u011f\u0131n\u0131 ve verilerin normal da\u011f\u0131ld\u0131\u011f\u0131n\u0131 varsayd\u0131\u011f\u0131n\u0131 belirtmek \u00f6nemlidir.<\/span> <span style=\"color: #000000;\">Belirli bir veri seti i\u00e7in Q testinin yaln\u0131zca bir kez yap\u0131lmas\u0131 gerekti\u011fine dikkat etmek de \u00f6nemlidir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Dixon Q Testi Elle Nas\u0131l Yap\u0131l\u0131r?<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>1, 3, 5, 7, 8, 9, 13, 25<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu veri setindeki maksimum de\u011ferin ayk\u0131r\u0131 de\u011fer olup olmad\u0131\u011f\u0131n\u0131 belirlemek amac\u0131yla Dixon&#8217;\u0131n Q testini manuel olarak ger\u00e7ekle\u015ftirmek i\u00e7in standart be\u015f ad\u0131ml\u0131 hipotez testi prosed\u00fcr\u00fcn\u00fc takip edebiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1. Hipotezleri belirtin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">S\u0131f\u0131r hipotezi (H0): Maksimum bir ayk\u0131r\u0131 de\u011fer de\u011fildir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alternatif hipotez: (Ha): Maksimum bir ayk\u0131r\u0131 <em>de\u011ferdir<\/em> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2. Kullan\u0131lacak bir \u00f6nem d\u00fczeyi belirleyin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Ortak se\u00e7enekler 0,1, 0,05 ve 0,01&#8217;dir. Bu \u00f6rnek i\u00e7in 0,05 anlaml\u0131l\u0131k d\u00fczeyini kullanaca\u011f\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3. Test istatisti\u011fini bulun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Q<\/strong> = |x <sub>a<\/sub> \u2013 <sub>xb<\/sub> | \/R<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu durumda maksimum de\u011ferimiz x <sub>a<\/sub> = 25, bir sonraki en yak\u0131n de\u011ferimiz x <sub>b<\/sub> = 13, aral\u0131\u011f\u0131m\u0131z ise R = 25 \u2013 1 = 24 olur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">B\u00f6ylece <strong>Q<\/strong> = |25 \u2013 13| \/ 24 = <strong>0,5<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra bu test istatisti\u011fini, farkl\u0131 \u00f6rneklem boyutlar\u0131 (n) ve g\u00fcven d\u00fczeyleri i\u00e7in a\u015fa\u011f\u0131da g\u00f6sterilen kritik Q testi de\u011ferleriyle kar\u015f\u0131la\u015ft\u0131rabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>%90 %95 %99<\/strong><\/span><br \/> <span style=\"color: #000000;\"><strong>3<\/strong> 0,941 0,970 0,994<\/span><br \/> <span style=\"color: #000000;\"><strong>4<\/strong> 0,765 0,829 0,926<\/span><br \/> <span style=\"color: #000000;\"><strong>5<\/strong> 0,642 0,710 0,821<\/span><br \/> <span style=\"color: #000000;\"><strong>6<\/strong> 0,560 0,625 0,740<\/span><br \/> <span style=\"color: #000000;\"><strong>7<\/strong> 0,507 0,568 0,680<\/span><br \/> <span style=\"color: #000000;\"><strong>8<\/strong> 0,468 0,526 0,634<\/span><br \/> <span style=\"color: #000000;\"><strong>9<\/strong> 0,437 0,493 0,598<\/span><br \/> <span style=\"color: #000000;\"><strong>10<\/strong> 0,412 0,466 0,568<\/span><br \/> <span style=\"color: #000000;\"><strong>11<\/strong> 0,392 0,444 0,542<\/span><br \/> <span style=\"color: #000000;\"><strong>12<\/strong> 0,376 0,426 0,522<\/span><br \/> <span style=\"color: #000000;\"><strong>13<\/strong> 0,361 0,410 0,503<\/span><br \/> <span style=\"color: #000000;\"><strong>14<\/strong> 0,349 0,396 0,488<\/span><br \/> <span style=\"color: #000000;\"><strong>15<\/strong> 0,338 0,384 0,475<\/span><br \/> <span style=\"color: #000000;\"><strong>16<\/strong> 0,329 0,374 0,463<\/span><br \/> <span style=\"color: #000000;\"><strong>17<\/strong> 0,320 0,365 0,452<\/span><br \/> <span style=\"color: #000000;\"><strong>18<\/strong> 0,313 0,356 0,442<\/span><br \/> <span style=\"color: #000000;\"><strong>19<\/strong> 0,306 0,349 0,433<\/span><br \/> <span style=\"color: #000000;\"><strong>20<\/strong> 0,300 0,342 0,425<\/span><br \/> <span style=\"color: #000000;\"><strong>21<\/strong> 0,295 0,337 0,418<\/span><br \/> <span style=\"color: #000000;\"><strong>22<\/strong> 0,290 0,331 0,411<\/span><br \/> <span style=\"color: #000000;\"><strong>23<\/strong> 0,285 0,326 0,404<\/span><br \/> <span style=\"color: #000000;\"><strong>24<\/strong> 0,281 0,321 0,399<\/span><br \/> <span style=\"color: #000000;\"><strong>25<\/strong> 0,277 0,317 0,393<\/span><br \/> <span style=\"color: #000000;\"><strong>26<\/strong> 0,273 0,312 0,388<\/span><br \/> <span style=\"color: #000000;\"><strong>27<\/strong> 0,269 0,308 0,384<\/span><br \/> <span style=\"color: #000000;\"><strong>28<\/strong> 0,266 0,305 0,380<\/span><br \/> <span style=\"color: #000000;\"><strong>29<\/strong> 0,263 0,301 0,376<\/span><br \/> <span style=\"color: #000000;\"><strong>30<\/strong> 0,260 0,290 0,372<\/span><\/p>\n<p> <span style=\"color: #000000;\">8&#8217;lik bir \u00f6rneklem ve %95&#8217;lik bir g\u00fcven d\u00fczeyi i\u00e7in kritik de\u011fer <strong>0,526&#8217;d\u0131r<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 4. Bo\u015f hipotezi reddedin veya reddetmeyin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fimiz Q (0,5) kritik de\u011ferden (0,526) k\u00fc\u00e7\u00fck oldu\u011fundan s\u0131f\u0131r hipotezini reddedemiyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 5. Sonu\u00e7lar\u0131 yorumlay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">S\u0131f\u0131r hipotezini reddetmeyi ba\u015faramad\u0131\u011f\u0131m\u0131z i\u00e7in maksimum <em>25<\/em> de\u011ferinin bu veri setinde ayk\u0131r\u0131 de\u011fer olmad\u0131\u011f\u0131 sonucuna vard\u0131k.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>R&#8217;de Dixon&#8217;\u0131n Q testi nas\u0131l yap\u0131l\u0131r?<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Dixon&#8217;\u0131n Q Testini R&#8217;deki ayn\u0131 veri k\u00fcmesi \u00fczerinde ger\u00e7ekle\u015ftirmek i\u00e7in, a\u015fa\u011f\u0131daki s\u00f6zdizimini kullanan <strong>outliers<\/strong> k\u00fct\u00fcphanesindeki <strong>dixon.test()<\/strong> fonksiyonunu kullanabiliriz:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">dixon.test(veri, , t\u00fcr = 10, kar\u015f\u0131t = YANLI\u015e)<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>veri:<\/strong> veri de\u011ferlerinin say\u0131sal bir vekt\u00f6r\u00fc<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>t\u00fcr:<\/strong> Q istatistiksel testini ger\u00e7ekle\u015ftirmek i\u00e7in kullan\u0131lacak form\u00fcl\u00fcn t\u00fcr\u00fc. Daha \u00f6nce a\u00e7\u0131klanan form\u00fcl\u00fc kullanmak i\u00e7in 10&#8217;a ayarlay\u0131n.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>tersi:<\/strong> YANLI\u015e ise test, maksimum de\u011ferin ayk\u0131r\u0131 de\u011fer olup olmad\u0131\u011f\u0131n\u0131 belirler. DO\u011eRU ise test, minimum de\u011ferin ayk\u0131r\u0131 de\u011fer olup olmad\u0131\u011f\u0131n\u0131 belirler. Bu, varsay\u0131lan olarak YANLI\u015e&#8217;t\u0131r.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><em>Not<\/em> : <em>dixon.test() ile ilgili t\u00fcm belgeleri <a href=\"https:\/\/www.rdocumentation.org\/packages\/outliers\/versions\/0.14\/topics\/dixon.test\" target=\"_blank\" rel=\"noopener\">burada<\/a> bulabilirsiniz.<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, veri k\u00fcmesindeki maksimum de\u011ferin ayk\u0131r\u0131 de\u011fer olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in Dixon Q testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir.<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load the <em>outliers<\/em> library<\/span>\nlibrary(outliers)\n\n<span style=\"color: #008080;\">#create data\n<\/span>data &lt;- c(1, 3, 5, 7, 8, 9, 13, 25)\n\n<span style=\"color: #008080;\">#conduct Dixon's Q Test\n<\/span>dixon.test(data, type = 10)\n\n# Dixon test for outliers\n#\n#data:data\n#Q = 0.5, p-value = 0.06913\n#alternative hypothesis: highest value 25 is an outlier\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonu\u00e7tan test istatisti\u011finin Q = <strong>0,5<\/strong> ve kar\u015f\u0131l\u0131k gelen p de\u011ferinin <strong>0,06913<\/strong> oldu\u011funu g\u00f6rebiliriz. Bu nedenle, s\u0131f\u0131r hipotezini 0,05 anlaml\u0131l\u0131k d\u00fczeyinde reddetmekte ba\u015far\u0131s\u0131z oluyoruz ve <em>25&#8217;in<\/em> ayk\u0131r\u0131 de\u011fer olmad\u0131\u011f\u0131 sonucuna var\u0131yoruz. Bu, manuel olarak elde etti\u011fimiz sonuca kar\u015f\u0131l\u0131k gelir.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Genellikle basit\u00e7e Q Testi olarak adland\u0131r\u0131lan Dixon&#8217;\u0131n Q Testi , bir veri k\u00fcmesindeki ayk\u0131r\u0131 de\u011ferleri tespit etmek i\u00e7in kullan\u0131lan istatistiksel bir testtir. Q testi istatisti\u011fi: Q = |x a \u2013 xb | \/R burada x a \u015f\u00fcpheli ayk\u0131r\u0131 de\u011ferdir, x b x a&#8217;ya en yak\u0131n veri noktas\u0131d\u0131r ve R veri k\u00fcmesinin aral\u0131\u011f\u0131d\u0131r. \u00c7o\u011fu durumda xa [&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-498","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>Dixon&#039;\u0131n Q testi: tan\u0131m + \u00f6rnek - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, ayk\u0131r\u0131 de\u011ferlerin tespit edilmesine y\u00f6nelik Dixon Q testinin basit bir a\u00e7\u0131klamas\u0131n\u0131n yan\u0131 s\u0131ra, testi \u00e7al\u0131\u015f\u0131rken g\u00f6stermek i\u00e7in R&#039;deki bir \u00f6rnek sunulmaktad\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\/dixons-q-testi-aykiri-degerleri\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Dixon&#039;\u0131n Q testi: tan\u0131m + \u00f6rnek - 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