{"id":822,"date":"2023-07-28T15:44:35","date_gmt":"2023-07-28T15:44:35","guid":{"rendered":"https:\/\/statorials.org\/tr\/mahalanobis-mesafe-spss\/"},"modified":"2023-07-28T15:44:35","modified_gmt":"2023-07-28T15:44:35","slug":"mahalanobis-mesafe-spss","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/mahalanobis-mesafe-spss\/","title":{"rendered":"Spss&#39;de mahalanobis mesafesi nas\u0131l hesaplan\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Mahalanobis mesafesi<\/strong> \u00e7ok de\u011fi\u015fkenli bir uzayda iki nokta aras\u0131ndaki mesafedir. Birden fazla de\u011fi\u015fkeni i\u00e7eren istatistiksel analizlerde ayk\u0131r\u0131 de\u011ferleri tespit etmek i\u00e7in s\u0131kl\u0131kla kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde SPSS&#8217;de Mahalanobis mesafesinin nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: SPSS&#8217;de Mahalanobis Mesafesi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">20 \u00f6\u011frencinin s\u0131nav puanlar\u0131n\u0131n yan\u0131 s\u0131ra ders \u00e7al\u0131\u015farak ge\u00e7irdikleri saat say\u0131s\u0131n\u0131, girdikleri uygulama s\u0131navlar\u0131n\u0131n say\u0131s\u0131n\u0131 ve dersteki g\u00fcncel notlar\u0131n\u0131 g\u00f6steren a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9071 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mahal1.png\" alt=\"\" width=\"506\" height=\"550\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00c7ok de\u011fi\u015fkenli ayk\u0131r\u0131 de\u011ferlerin olup olmad\u0131\u011f\u0131n\u0131 belirlemek amac\u0131yla veri k\u00fcmesindeki her g\u00f6zlem i\u00e7in Mahalanobis mesafesini hesaplamak amac\u0131yla a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Do\u011frusal Regresyon se\u00e7ene\u011fini se\u00e7in.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Analiz<\/strong> sekmesine, ard\u0131ndan <strong>Regresyon&#8217;a<\/strong> ve ard\u0131ndan <strong>Do\u011frusal&#8217;a<\/strong> t\u0131klay\u0131n:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-9072 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mahal2.png\" alt=\"\" width=\"575\" height=\"505\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Mahalanobis se\u00e7ene\u011fini se\u00e7in.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Yan\u0131t de\u011fi\u015fkeni <em>puan\u0131n\u0131<\/em> Ba\u011f\u0131ml\u0131 etiketli kutuya s\u00fcr\u00fckleyin. Di\u011fer \u00fc\u00e7 \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkeni Ba\u011f\u0131ms\u0131z(lar) etiketli kutuya s\u00fcr\u00fckleyin. Daha sonra <strong>Kaydet<\/strong> butonuna t\u0131klay\u0131n. A\u00e7\u0131lan yeni pencerede <strong>Mahalanobis&#8217;in<\/strong> yan\u0131ndaki kutunun i\u015faretli oldu\u011fundan emin olun. Daha sonra <strong>Devam&#8217;\u0131<\/strong> t\u0131klay\u0131n. Daha sonra <strong>Tamam&#8217;\u0131<\/strong> t\u0131klay\u0131n.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9073\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mahal3.png\" alt=\"SPSS'de Mahalanobis Mesafesi\" width=\"647\" height=\"439\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Tamam&#8217;a<\/strong> t\u0131klad\u0131\u011f\u0131n\u0131zda veri k\u00fcmesindeki her g\u00f6zlem i\u00e7in Mahalanobis mesafesi <strong>MAH_1<\/strong> ba\u015fl\u0131kl\u0131 yeni bir s\u00fctunda g\u00f6r\u00fcnecektir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-9074 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mahal4.png\" alt=\"\" width=\"555\" height=\"434\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Baz\u0131 mesafelerin di\u011ferlerinden \u00e7ok daha b\u00fcy\u00fck oldu\u011funu g\u00f6rebiliriz. Mesafelerden herhangi birinin istatistiksel olarak anlaml\u0131 olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in p de\u011ferlerini hesaplamam\u0131z gerekir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Her Mahalanobis mesafesinin p de\u011ferlerini hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>D\u00f6n\u00fc\u015f\u00fcm<\/strong> sekmesini ve ard\u0131ndan <strong>De\u011fi\u015fkeni Hesapla&#8217;y\u0131<\/strong> t\u0131klay\u0131n.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-9075 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mahal5.png\" alt=\"\" width=\"510\" height=\"459\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Hedef De\u011fi\u015fken<\/strong> kutusunda, olu\u015fturdu\u011funuz de\u011fi\u015fken i\u00e7in yeni bir ad se\u00e7in. Biz \u201cpvalue\u201d diyoruz. <strong>Say\u0131sal \u0130fade<\/strong> kutusuna a\u015fa\u011f\u0131dakini girin:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1 \u2013 CDF.CHISQ(MAH_1, 3)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra <strong>Tamam&#8217;\u0131<\/strong> t\u0131klay\u0131n.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-9076 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mahal6.png\" alt=\"\" width=\"613\" height=\"489\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu, 3 serbestlik derecesine sahip Ki-kare de\u011ferine kar\u015f\u0131l\u0131k gelen bir p de\u011feri \u00fcretecektir. Regresyon modelimizde 3 adet yorday\u0131c\u0131 de\u011fi\u015fken oldu\u011fundan <strong>3<\/strong> serbestlik derecesi kullan\u0131yoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: p de\u011ferlerini yorumlay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Tamam&#8217;a<\/strong> t\u0131klad\u0131\u011f\u0131n\u0131zda, her Mahalanobis mesafesinin p de\u011feri yeni bir s\u00fctunda g\u00f6r\u00fcnt\u00fclenecektir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9077\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mahal7.png\" alt=\"SPSS'de Mahalanobis mesafesi i\u00e7in P de\u011ferleri\" width=\"556\" height=\"408\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Varsay\u0131lan olarak SPSS yaln\u0131zca iki ondal\u0131k basamakl\u0131 p de\u011ferlerini g\u00f6r\u00fcnt\u00fcler. SPSS&#8217;in alt k\u0131sm\u0131ndaki <strong>De\u011fi\u015fkenleri<\/strong> <strong>G\u00f6r\u00fcnt\u00fcle&#8217;ye<\/strong> t\u0131klayarak ve <strong>Ondal\u0131k<\/strong> Basamaklar s\u00fctunundaki say\u0131y\u0131 art\u0131rarak ondal\u0131k basamak say\u0131s\u0131n\u0131 art\u0131rabilirsiniz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-9078 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mahal8.png\" alt=\"\" width=\"631\" height=\"302\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Veri g\u00f6r\u00fcn\u00fcm\u00fcne<\/strong> d\u00f6nd\u00fc\u011f\u00fcn\u00fczde, her p de\u011ferinin be\u015f ondal\u0131k basamakla g\u00f6r\u00fcnt\u00fclendi\u011fini g\u00f6rebilirsiniz. <strong>0,001&#8217;den k\u00fc\u00e7\u00fck<\/strong> herhangi bir p de\u011feri ayk\u0131r\u0131 de\u011fer olarak kabul edilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk g\u00f6zlemin veri k\u00fcmesindeki tek ayk\u0131r\u0131 de\u011fer oldu\u011funu g\u00f6rebiliriz \u00e7\u00fcnk\u00fc p de\u011feri 0,001&#8217;den k\u00fc\u00e7\u00fckt\u00fcr:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9079 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mahal9.png\" alt=\"\" width=\"640\" height=\"499\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ayk\u0131r\u0131 de\u011ferler nas\u0131l ele al\u0131n\u0131r?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Verilerinizde ayk\u0131r\u0131 de\u011fer varsa birka\u00e7 se\u00e7ene\u011finiz vard\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Ayk\u0131r\u0131 de\u011ferin veri giri\u015fi hatas\u0131ndan kaynaklanmad\u0131\u011f\u0131ndan emin olun.<\/strong><\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">Bazen bir ki\u015fi verileri kaydederken yanl\u0131\u015f veri de\u011ferini girer. Ayk\u0131r\u0131 de\u011fer mevcutsa \u00f6ncelikle veri de\u011ferinin do\u011fru girildi\u011fini ve bunun bir hata olmad\u0131\u011f\u0131n\u0131 do\u011frulay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Ayk\u0131r\u0131 de\u011feri kald\u0131r\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">De\u011fer ger\u00e7ekten ayk\u0131r\u0131 bir de\u011ferse ve genel analiziniz \u00fczerinde \u00f6nemli bir etkisi olacaksa onu kald\u0131rmay\u0131 se\u00e7ebilirsiniz. Son raporunuzda veya analizinizde ayk\u0131r\u0131 bir de\u011feri kald\u0131rd\u0131\u011f\u0131n\u0131z\u0131 mutlaka belirtin.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mahalanobis mesafesi \u00e7ok de\u011fi\u015fkenli bir uzayda iki nokta aras\u0131ndaki mesafedir. Birden fazla de\u011fi\u015fkeni i\u00e7eren istatistiksel analizlerde ayk\u0131r\u0131 de\u011ferleri tespit etmek i\u00e7in s\u0131kl\u0131kla kullan\u0131l\u0131r. Bu e\u011fitimde SPSS&#8217;de Mahalanobis mesafesinin nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. \u00d6rnek: SPSS&#8217;de Mahalanobis Mesafesi 20 \u00f6\u011frencinin s\u0131nav puanlar\u0131n\u0131n yan\u0131 s\u0131ra ders \u00e7al\u0131\u015farak ge\u00e7irdikleri saat say\u0131s\u0131n\u0131, girdikleri uygulama s\u0131navlar\u0131n\u0131n say\u0131s\u0131n\u0131 ve dersteki g\u00fcncel notlar\u0131n\u0131 g\u00f6steren [&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-822","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>SPSS&#039;de Mahalanobis Uzakl\u0131\u011f\u0131 Nas\u0131l Hesaplan\u0131r \u2013 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