{"id":3038,"date":"2023-07-19T12:36:01","date_gmt":"2023-07-19T12:36:01","guid":{"rendered":"https:\/\/statorials.org\/tr\/arastirmada-istatistigin-onemi\/"},"modified":"2023-07-19T12:36:01","modified_gmt":"2023-07-19T12:36:01","slug":"arastirmada-istatistigin-onemi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/arastirmada-istatistigin-onemi\/","title":{"rendered":"Ara\u015ft\u0131rmalarda i\u0307statisti\u011fin \u00f6nemi (\u00f6rneklerle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u0130statistik<\/strong> alan\u0131 verilerin toplanmas\u0131, analizi, yorumlanmas\u0131 ve sunumuyla ilgilidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ara\u015ft\u0131rmada istatistikler a\u015fa\u011f\u0131daki nedenlerden dolay\u0131 \u00f6nemlidir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Sebep 1<\/strong> : \u0130statistik, ara\u015ft\u0131rmac\u0131lar\u0131n, \u00e7al\u0131\u015fma sonu\u00e7lar\u0131n\u0131n daha b\u00fcy\u00fck bir pop\u00fclasyona yans\u0131t\u0131labilece\u011fi \u015fekilde \u00e7al\u0131\u015fmalar tasarlamas\u0131na olanak tan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Sebep 2<\/strong> : \u0130statistikler, ara\u015ft\u0131rmac\u0131lar\u0131n yeni bir ila\u00e7, prosed\u00fcr, \u00fcretim y\u00f6ntemi vb. hakk\u0131ndaki belirli iddialar\u0131n ge\u00e7erli olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in hipotez testi yapmalar\u0131na olanak tan\u0131r. ge\u00e7erli. Do\u011frudur.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Sebep 3<\/strong> : \u0130statistikler, ara\u015ft\u0131rmac\u0131lar\u0131n n\u00fcfus tahminleri etraf\u0131ndaki belirsizli\u011fi yakalamak i\u00e7in g\u00fcven aral\u0131klar\u0131 olu\u015fturmas\u0131na olanak tan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu makalenin geri kalan\u0131nda bu nedenlerin her birini a\u00e7\u0131klayaca\u011f\u0131z.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sebep 1: \u0130statistikler ara\u015ft\u0131rmac\u0131lar\u0131n ara\u015ft\u0131rma tasarlamas\u0131na olanak tan\u0131r<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ara\u015ft\u0131rmac\u0131lar genellikle <a href=\"https:\/\/statorials.org\/tr\/populasyon-ve-ornek\/\" target=\"_blank\" rel=\"noopener\">pop\u00fclasyonlarla<\/a> ilgili a\u015fa\u011f\u0131daki gibi sorular\u0131 yan\u0131tlamak isterler:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Belirli bir ku\u015f t\u00fcr\u00fcn\u00fcn ortalama a\u011f\u0131rl\u0131\u011f\u0131 nedir?<\/span><\/li>\n<li> <span style=\"color: #000000;\">Belirli bir bitki t\u00fcr\u00fcn\u00fcn ortalama boyu nedir?<\/span><\/li>\n<li> <span style=\"color: #000000;\">Belirli bir \u015fehirdeki vatanda\u015flar\u0131n y\u00fczde ka\u00e7\u0131 belirli bir yasay\u0131 destekliyor?<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu sorular\u0131 cevaplaman\u0131n bir yolu, ilgilenilen pop\u00fclasyondaki her bir birey hakk\u0131nda veri toplamakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak bu genellikle \u00e7ok maliyetli ve zaman al\u0131c\u0131 oldu\u011fundan ara\u015ft\u0131rmac\u0131lar bunun yerine pop\u00fclasyonun bir <strong>\u00f6rne\u011fini<\/strong> al\u0131r ve \u00f6rnek verileri, pop\u00fclasyonun bir b\u00fct\u00fcn olarak hakk\u0131nda sonu\u00e7lara varmak i\u00e7in kullan\u0131r.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7603 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ciprop1.png\" alt=\"Bir pop\u00fclasyondan \u00f6rnek alma \u00f6rne\u011fi\" width=\"409\" height=\"381\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Ara\u015ft\u0131rmac\u0131lar\u0131n bireyleri bir numuneye dahil etmek i\u00e7in potansiyel olarak kullanabilece\u011fi bir\u00e7ok farkl\u0131 y\u00f6ntem vard\u0131r. Bunlar <strong>\u00f6rnekleme y\u00f6ntemleri<\/strong> olarak bilinir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rnekleme y\u00f6ntemlerinin iki s\u0131n\u0131f\u0131 vard\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Olas\u0131l\u0131kl\u0131 \u00d6rnekleme Y\u00f6ntemleri<\/strong> : Bir pop\u00fclasyonun her \u00fcyesinin, \u00f6rne\u011fin bir par\u00e7as\u0131 olmak \u00fczere se\u00e7ilme olas\u0131l\u0131\u011f\u0131 e\u015fittir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Olas\u0131l\u0131ks\u0131z \u00f6rnekleme y\u00f6ntemleri<\/strong> : Bir pop\u00fclasyonun t\u00fcm \u00fcyelerinin, \u00f6rne\u011fin bir par\u00e7as\u0131 olmak \u00fczere se\u00e7ilme olas\u0131l\u0131\u011f\u0131 ayn\u0131 de\u011fildir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Olas\u0131l\u0131k \u00f6rnekleme y\u00f6ntemlerini kullanarak, ara\u015ft\u0131rmac\u0131lar genel pop\u00fclasyonun <a href=\"https:\/\/statorials.org\/tr\/temsili-ornek-1\/\" target=\"_blank\" rel=\"noopener\">temsili<\/a> bir \u00f6rne\u011fini elde etme \u015fans\u0131n\u0131 en \u00fcst d\u00fczeye \u00e7\u0131karabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, ara\u015ft\u0131rmac\u0131lar\u0131n \u00f6rneklemden elde edilen sonu\u00e7lar\u0131 genel n\u00fcfusa g\u00f6re tahmin etmelerine olanak tan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/ornekleme-yontemleri\/\" target=\"_blank\" rel=\"noopener\">Burada<\/a> iki \u00f6rnekleme y\u00f6ntemi s\u0131n\u0131f\u0131 hakk\u0131nda daha fazla bilgi edinin.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sebep 2: \u0130statistikler ara\u015ft\u0131rmac\u0131lar\u0131n hipotez testi yapmas\u0131na olanak tan\u0131r<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0130statistikler ayn\u0131 zamanda ara\u015ft\u0131rmalarda <a href=\"https:\/\/statorials.org\/tr\/hipotez-testi-1\/\" target=\"_blank\" rel=\"noopener\">hipotez testi<\/a> \u015feklinde de kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunlar, ara\u015ft\u0131rmac\u0131lar\u0131n farkl\u0131 t\u0131bbi prosed\u00fcrler veya tedaviler aras\u0131nda istatistiksel anlaml\u0131l\u0131k olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in kullanabilece\u011fi testlerdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir bilim adam\u0131n\u0131n yeni bir ilac\u0131n obez hastalarda kan bas\u0131nc\u0131n\u0131 d\u00fc\u015f\u00fcrebilece\u011fine inand\u0131\u011f\u0131n\u0131 varsayal\u0131m. Bunu test etmek i\u00e7in 30 hastan\u0131n yeni ilac\u0131 bir ay boyunca kullanmadan \u00f6nce ve kulland\u0131ktan sonra kan bas\u0131nc\u0131n\u0131 \u00f6l\u00e7t\u00fc.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra a\u015fa\u011f\u0131daki varsay\u0131mlar\u0131 kullanarak <a href=\"https:\/\/statorials.org\/tr\/eslestirilmis-ornekler-t-testi\/\" target=\"_blank\" rel=\"noopener\">e\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi<\/a> ger\u00e7ekle\u015ftirir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc <sub>sonra<\/sub> = \u03bc <sub>\u00f6nce<\/sub> (ortalama kan bas\u0131nc\u0131, ilac\u0131 kullanmadan \u00f6nce ve sonra ayn\u0131d\u0131r)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> \u03bc <sub>sonra<\/sub> &lt; \u03bc <sub>\u00f6nce<\/sub> (ilac\u0131 kulland\u0131ktan sonra ortalama kan bas\u0131nc\u0131 daha d\u00fc\u015f\u00fckt\u00fcr)<\/span><\/li>\n<\/ul>\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 seviyesinin alt\u0131ndaysa (\u00f6rn. \u03b1 = 0,05), bu durumda s\u0131f\u0131r hipotezi reddedilebilir ve yeni ilac\u0131n kan bas\u0131nc\u0131nda d\u00fc\u015f\u00fc\u015fe neden oldu\u011fu sonucuna var\u0131labilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not<\/strong> : Bu, ara\u015ft\u0131rmada kullan\u0131lan hipotez testlerinin yaln\u0131zca bir \u00f6rne\u011fidir. Di\u011fer yayg\u0131n testler aras\u0131nda <a href=\"https:\/\/statorials.org\/tr\/ornek-t-testi\/\" target=\"_blank\" rel=\"noopener\">tek \u00f6rnekli t testi<\/a> , <a href=\"https:\/\/statorials.org\/tr\/iki-orneginizi-test-edin\/\" target=\"_blank\" rel=\"noopener\">iki \u00f6rnekli t testi<\/a> , <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">tek y\u00f6nl\u00fc ANOVA<\/a> ve <a href=\"https:\/\/statorials.org\/tr\/iki-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">iki y\u00f6nl\u00fc ANOVA<\/a> bulunur.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sebep 3: \u0130statistikler ara\u015ft\u0131rmac\u0131lar\u0131n g\u00fcven aral\u0131klar\u0131 olu\u015fturmas\u0131na olanak tan\u0131r<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0130statistikler ara\u015ft\u0131rmalarda <a href=\"https:\/\/statorials.org\/tr\/guvenilirlik-araligi\/\" target=\"_blank\" rel=\"noopener\">g\u00fcven aral\u0131klar\u0131<\/a> \u015feklinde de kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">G\u00fcven aral\u0131\u011f\u0131, belirli bir g\u00fcven d\u00fczeyine sahip bir pop\u00fclasyon parametresini i\u00e7ermesi muhtemel bir de\u011fer aral\u0131\u011f\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, ara\u015ft\u0131rmac\u0131lar\u0131n belirli bir kaplumba\u011fa t\u00fcr\u00fcn\u00fcn ortalama a\u011f\u0131rl\u0131\u011f\u0131n\u0131 tahmin etmek istediklerini varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ara\u015ft\u0131rmac\u0131lar, pop\u00fclasyondaki her kaplumba\u011fay\u0131 dola\u015f\u0131p tartmak yerine, a\u015fa\u011f\u0131daki bilgilerle basit, rastgele bir kaplumba\u011fa \u00f6rne\u011fi alabilirler:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc <strong>n = 25<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Ortalama numune a\u011f\u0131rl\u0131\u011f\u0131 <strong><span style=\"text-decoration: overline;\">x<\/span> = 300<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00d6rneklem standart sapmas\u0131 <strong>s = 18,5<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/ortalama-guven-araligi\/\" target=\"_blank\" rel=\"noopener\">Ortalama bir form\u00fcl i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131<\/a> kullanarak ara\u015ft\u0131rmac\u0131lar daha sonra a\u015fa\u011f\u0131daki %95 g\u00fcven aral\u0131\u011f\u0131n\u0131 olu\u015fturabilirler:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>%95 g\u00fcven aral\u0131\u011f\u0131:<\/strong> 300 +\/- 1,96*(18,5\/\u221a <span style=\"text-decoration: overline;\">25<\/span> ) = <strong>[292,75, 307,25]<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Ara\u015ft\u0131rmac\u0131lar daha sonra bu kaplumba\u011fa pop\u00fclasyonunun ger\u00e7ek ortalama a\u011f\u0131rl\u0131\u011f\u0131n\u0131n 292,75 pound ile 307,25 pound aras\u0131nda oldu\u011fundan %95 emin olduklar\u0131n\u0131 iddia edeceklerdir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki makaleler istatisti\u011fin di\u011fer alanlardaki \u00f6nemini a\u00e7\u0131klamaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/saglik-hizmetlerinde-istatistigin-onemi\/\" target=\"_blank\" rel=\"noopener\">Sa\u011fl\u0131kta istatisti\u011fin \u00f6nemi<\/a><br \/><a href=\"https:\/\/statorials.org\/tr\/hemsirelikte-istatistigin-onemi\/\" target=\"_blank\" rel=\"noopener\">Hem\u015firelikte istatisti\u011fin \u00f6nemi<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\" target=\"_blank\" rel=\"noopener\">\u0130\u015fletmelerde istatisti\u011fin \u00f6nemi<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/iktisatta-istatistigin-onemi\/\" target=\"_blank\" rel=\"noopener\">Ekonomide istatisti\u011fin \u00f6nemi<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/egitimde-istatistigin-onemi\/\" target=\"_blank\" rel=\"noopener\">E\u011fitimde istatisti\u011fin \u00f6nemi<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistik alan\u0131 verilerin toplanmas\u0131, analizi, yorumlanmas\u0131 ve sunumuyla ilgilidir. Ara\u015ft\u0131rmada istatistikler a\u015fa\u011f\u0131daki nedenlerden dolay\u0131 \u00f6nemlidir: Sebep 1 : \u0130statistik, ara\u015ft\u0131rmac\u0131lar\u0131n, \u00e7al\u0131\u015fma sonu\u00e7lar\u0131n\u0131n daha b\u00fcy\u00fck bir pop\u00fclasyona yans\u0131t\u0131labilece\u011fi \u015fekilde \u00e7al\u0131\u015fmalar tasarlamas\u0131na olanak tan\u0131r. Sebep 2 : \u0130statistikler, ara\u015ft\u0131rmac\u0131lar\u0131n yeni bir ila\u00e7, prosed\u00fcr, \u00fcretim y\u00f6ntemi vb. hakk\u0131ndaki belirli iddialar\u0131n ge\u00e7erli olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in hipotez testi yapmalar\u0131na [&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-3038","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>Ara\u015ft\u0131rmalarda \u0130statisti\u011fin \u00d6nemi (\u00d6rneklerle) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, ara\u015ft\u0131rmada istatisti\u011fin \u00f6nemi \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\/arastirmada-istatistigin-onemi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Ara\u015ft\u0131rmalarda \u0130statisti\u011fin \u00d6nemi (\u00d6rneklerle) - 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