{"id":1259,"date":"2023-07-27T02:47:50","date_gmt":"2023-07-27T02:47:50","guid":{"rendered":"https:\/\/statorials.org\/tr\/aralik-kisitlamasi\/"},"modified":"2023-07-27T02:47:50","modified_gmt":"2023-07-27T02:47:50","slug":"aralik-kisitlamasi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/aralik-kisitlamasi\/","title":{"rendered":"Kapsam k\u0131s\u0131tlamas\u0131 nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistiklerde s\u0131kl\u0131kla iki de\u011fi\u015fken aras\u0131ndaki <a href=\"https:\/\/statorials.org\/tr\/pearson-korelasyon-katsayisi-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">korelasyonu<\/a> \u00f6l\u00e7meye \u00e7al\u0131\u015f\u0131r\u0131z. Bu, a\u015fa\u011f\u0131dakileri anlamam\u0131za yard\u0131mc\u0131 olur:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fken aras\u0131ndaki ili\u015fkinin <strong>y\u00f6n\u00fc<\/strong> . <em>De\u011fi\u015fkenlerden biri artarken di\u011fer de\u011fi\u015fken artma m\u0131 yoksa azalma m\u0131 e\u011filimindedir?<\/em><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fken aras\u0131ndaki ili\u015fkinin <strong>g\u00fcc\u00fc<\/strong> . <em>\u0130ki de\u011fi\u015fkenin de\u011feri ne kadar de\u011fi\u015fir?<\/em><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ne yaz\u0131k ki, iki de\u011fi\u015fken aras\u0131ndaki korelasyon \u00f6l\u00e7\u00fcl\u00fcrken ortaya \u00e7\u0131kabilecek soruna <strong>aral\u0131k k\u0131s\u0131tlamas\u0131<\/strong> denir. Bu, de\u011fi\u015fkenlerden birinin \u00f6l\u00e7\u00fclen de\u011fer <em>aral\u0131\u011f\u0131n\u0131n<\/em> bir nedenden dolay\u0131 k\u0131s\u0131tlanmas\u0131 durumunda ortaya \u00e7\u0131kar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir okuldaki \u00f6\u011frencilerin <em>ders \u00e7al\u0131\u015fma saatleri<\/em> ile <em>s\u0131nav puanlar\u0131<\/em> aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7mek istedi\u011fimizi varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Okuldaki 1000 \u00f6\u011frencinin tamam\u0131 i\u00e7in bu iki de\u011fi\u015fkene ili\u015fkin veri toplarsak, <em>\u00e7al\u0131\u015f\u0131lan saatlerle<\/em> <em>s\u0131nav puanlar\u0131<\/em> aras\u0131ndaki korelasyonun <strong>0,73<\/strong> oldu\u011funu bulabiliriz.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12432 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/plage-restreinte0.png\" alt=\"\" width=\"453\" height=\"448\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu korelasyonun olduk\u00e7a y\u00fcksek olmas\u0131, iki de\u011fi\u015fken aras\u0131nda g\u00fc\u00e7l\u00fc bir pozitif ili\u015fkiye i\u015faret etmektedir. \u00d6\u011frenciler daha fazla \u00e7al\u0131\u015ft\u0131k\u00e7a s\u0131navlarda daha iyi performans g\u00f6sterme e\u011filimi g\u00f6sterirler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak sadece \u00fcst\u00fcn ba\u015far\u0131 derslerindeki \u00f6\u011frenciler hakk\u0131nda veri toplad\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m. Bu \u00f6\u011frencilerin tamam\u0131 en az 6 saat ders \u00e7al\u0131\u015fm\u0131\u015f olabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla, bu \u00f6\u011frencilerin <em>\u00e7al\u0131\u015f\u0131lan saatlerle<\/em> <em>s\u0131nav puanlar\u0131<\/em> aras\u0131ndaki ili\u015fkiyi hesaplarsak, <em>\u00e7al\u0131\u015f\u0131lan de\u011fi\u015fken saatler<\/em> i\u00e7in dar bir aral\u0131k kullan\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12433 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/plage-restreinte1.png\" alt=\"K\u0131s\u0131tl\u0131 aral\u0131k \u00f6rne\u011fi\" width=\"442\" height=\"439\" srcset=\"\" sizes=\"auto, \"><\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>Saatlerin<\/em> 6&#8217;dan b\u00fcy\u00fck oldu\u011fu aral\u0131k i\u00e7in da\u011f\u0131l\u0131m grafi\u011fini yak\u0131nla\u015ft\u0131r\u0131rsak, grafik \u015f\u00f6yle g\u00f6r\u00fcn\u00fcr:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12434 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/plage-restreinte2.png\" alt=\"K\u0131s\u0131tl\u0131 bir aral\u0131k i\u00e7in nokta bulutu \u00f6rne\u011fi\" width=\"448\" height=\"439\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu grafikte iki de\u011fi\u015fken aras\u0131ndaki korelasyon <strong>0,37<\/strong> olarak ortaya \u00e7\u0131k\u0131yor ve bu da <strong>0,73&#8217;ten<\/strong> olduk\u00e7a d\u00fc\u015f\u00fck.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu nedenle, \u00fcst\u00fcn nitelikli derslerde okuyan \u00f6\u011frencilerin yaln\u0131zca ders <em>\u00e7al\u0131\u015fma saatleri<\/em> ve <em>s\u0131nav puanlar\u0131<\/em> hakk\u0131nda veri toplasayd\u0131k, \u00e7al\u0131\u015f\u0131lan saatler ile s\u0131nav puanlar\u0131 aras\u0131nda zay\u0131f bir ili\u015fki oldu\u011funu varsayabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak de\u011fi\u015fkenlerden biri i\u00e7in <strong>k\u0131s\u0131tl\u0131 bir aral\u0131k<\/strong> kulland\u0131\u011f\u0131m\u0131zdan bu sonu\u00e7 yan\u0131lt\u0131c\u0131 olacakt\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>K\u0131s\u0131tl\u0131 aral\u0131\u011f\u0131n ger\u00e7ek d\u00fcnyadan \u00f6rnekleri<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">S\u0131n\u0131rl\u0131 aral\u0131k sorunu pratikte bir\u00e7ok farkl\u0131 ara\u015ft\u0131rma \u00e7al\u0131\u015fmas\u0131nda ortaya \u00e7\u0131kabilir. \u0130\u015fte baz\u0131 \u00f6rnekler:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Y\u00fcksek performansl\u0131 sporcular \u00fczerinde yap\u0131lan \u00e7al\u0131\u015fmalar<\/strong> . Ara\u015ft\u0131rmac\u0131lar, belirli bir antrenman program\u0131n\u0131n belirli bir standart programdan daha fazla kas k\u00fctlesi \u00fcretip \u00fcretmedi\u011fini ara\u015ft\u0131rmakla ilgilenebilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">E\u011fer ara\u015ft\u0131rmac\u0131lar yaln\u0131zca elit sporcular hakk\u0131nda veri topluyorsa, bu sporcular\u0131n hepsinin zaten y\u00fcksek kas k\u00fctlesine sahip olmas\u0131 muhtemeldir. Bu nedenle, antrenman program\u0131 ile \u00fcretilen kas k\u00fctlesi aras\u0131ndaki korelasyonu hesaplamak i\u00e7in dar bir de\u011fer aral\u0131\u011f\u0131 olacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Y\u00fcksek ba\u015far\u0131l\u0131 \u00f6\u011frencilerle ilgili \u00e7al\u0131\u015fmalar.<\/strong> Ara\u015ft\u0131rmac\u0131lar belirli bir \u00f6zel ders program\u0131n\u0131n notlar \u00fczerinde olumlu bir etkisi olup olmad\u0131\u011f\u0131n\u0131 ara\u015ft\u0131rmak isteyebilirler. Do\u011fas\u0131 gere\u011fi notlar\u0131n\u0131 y\u00fckseltmeye ve \u00f6zel ders program\u0131na kat\u0131lmaya istekli \u00f6\u011frenciler zaten y\u00fcksek ba\u015far\u0131l\u0131 \u00f6\u011frenciler olabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla bu \u00f6\u011frencilerin notlar\u0131nda iyile\u015ftirmeye pek yer kalmayabilir. Ara\u015ft\u0131rmac\u0131lar \u00f6zel ders program\u0131nda harcanan saat ile bunun sonucunda ortaya \u00e7\u0131kan not art\u0131\u015f\u0131 aras\u0131ndaki ili\u015fkiyi hesaplarken, not iyile\u015ftirme alan\u0131 k\u0131s\u0131tl\u0131 oldu\u011fundan ger\u00e7ek korelasyon hafife al\u0131nabilir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>K\u0131s\u0131tl\u0131 aral\u0131klar nas\u0131l hesaba kat\u0131l\u0131r?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">K\u0131s\u0131tl\u0131 aral\u0131klar\u0131 a\u00e7\u0131klaman\u0131n pop\u00fcler bir yolu, psikometrist Robert L. Thorndike taraf\u0131ndan geli\u015ftirilen bir form\u00fcl olan <strong>Thorndike Vakas\u0131 2<\/strong> olarak bilinir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu form\u00fcl, iki de\u011fi\u015fken aras\u0131ndaki ger\u00e7ek korelasyona ili\u015fkin bir tahmin sa\u011flar ve a\u015fa\u011f\u0131daki hesaplamay\u0131 kullan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Do\u011fru korelasyon = \u221a(1-(SD <sup>2<\/sup> <sub>y k\u0131s\u0131tl\u0131<\/sub> -SD <sup>2<\/sup> <sub>y s\u0131n\u0131rs\u0131z<\/sub> )) * (1-r <sup>2<\/sup> <sub>k\u0131s\u0131tl\u0131<\/sub> )<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">SD <sup>2<\/sup> <sub>s\u0131n\u0131rl\u0131 y<\/sub> : Yan\u0131t de\u011fi\u015fkeni y&#8217;ye ili\u015fkin mevcut verilerin standart sapmas\u0131n\u0131n karesi.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><sub>K\u0131s\u0131tlanmam\u0131\u015f<\/sub> SD <sup>2<\/sup> y: Pop\u00fclasyon i\u00e7in yan\u0131t de\u011fi\u015fkeninin bilinen kare standart sapmas\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\">r <sup>2<\/sup> <sub>k\u0131s\u0131tl\u0131<\/sub> : Mevcut k\u0131s\u0131tl\u0131 veriler \u00fczerindeki ikinci dereceden korelasyon.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu form\u00fcl\u00fcn, de\u011fi\u015fkenlerden biri s\u0131n\u0131rl\u0131 bir aral\u0131\u011fa sahip oldu\u011funda, iki de\u011fi\u015fken aras\u0131ndaki ger\u00e7ek korelasyona ili\u015fkin tarafs\u0131z tahminler \u00fcretmede etkili oldu\u011fu g\u00f6sterilmi\u015ftir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu form\u00fcl\u00fc kullanmak i\u00e7in yan\u0131t de\u011fi\u015fkenine ili\u015fkin ger\u00e7ek pop\u00fclasyon standart sapmas\u0131na ili\u015fkin bir tahmine sahip olman\u0131z gerekti\u011fini unutmay\u0131n.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistiklerde s\u0131kl\u0131kla iki de\u011fi\u015fken aras\u0131ndaki korelasyonu \u00f6l\u00e7meye \u00e7al\u0131\u015f\u0131r\u0131z. Bu, a\u015fa\u011f\u0131dakileri anlamam\u0131za yard\u0131mc\u0131 olur: \u0130ki de\u011fi\u015fken aras\u0131ndaki ili\u015fkinin y\u00f6n\u00fc . De\u011fi\u015fkenlerden biri artarken di\u011fer de\u011fi\u015fken artma m\u0131 yoksa azalma m\u0131 e\u011filimindedir? \u0130ki de\u011fi\u015fken aras\u0131ndaki ili\u015fkinin g\u00fcc\u00fc . \u0130ki de\u011fi\u015fkenin de\u011feri ne kadar de\u011fi\u015fir? Ne yaz\u0131k ki, iki de\u011fi\u015fken aras\u0131ndaki korelasyon \u00f6l\u00e7\u00fcl\u00fcrken ortaya \u00e7\u0131kabilecek soruna aral\u0131k k\u0131s\u0131tlamas\u0131 [&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-1259","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>Kapsam k\u0131s\u0131tlamas\u0131 nedir? - Statoryaller<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, ara\u015ft\u0131rma \u00e7al\u0131\u015fmalar\u0131nda s\u0131kl\u0131kla ortaya \u00e7\u0131kan bir olgu olan kapsam k\u0131s\u0131tlamas\u0131n\u0131n basit bir a\u00e7\u0131klamas\u0131 sa\u011flanmaktad\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\/aralik-kisitlamasi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Kapsam k\u0131s\u0131tlamas\u0131 nedir? 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