Doğrusal sınırlamalar ve izdüşüm teorisi yardımıyla çoklu doğrusal regresyonda etkili gözlemlerin belirlenmesi

Bu çalışmada, doğrusal sınırlamalar, izdüşüm teorisi ve Cook uzaklığından oluşan üç aşamalı bir yöntem kullanılarak etkin gözlemlerin tespit edilmesine çalışılmıştır. Önerilen bu üç aşamalı yöntem etkin gözlemlerin belirlenmesinde hesaplama kolaylığı getirmektedir. Özellikle, izdüşüm teorisinin kullanımının hesaplamalardaki matris boyutlarını nasıl küçülttüğü gösterilerek bir örnek üzerinde uygulaması yapılmıştır.

Determining influential observations on multiple linear regression by linear restrictions and projection theory

In this paper, the assessment of influential observations through the use of a three-step method made up of linear restrictions, the projection theory, and the Cook distance was studied. The proposed method facilitates the calculation in the determination of influential observations. Specifically, how the projection theory used here minimizes the size of the matrices was clearly demonstrated and shown in an example as an application.

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