Genelleştirilmiş lineer modellerde kısmi ve augmented kısmi artıklar ve grafikleri

Year 2021, Volume: 11 Issue: 4, 1145 - 1153, 15.10.2021

Esin Avcı

https://doi.org/10.17714/gumusfenbil.863338

Abstract

Genelleştirilmiş lineer modeller; fen, mühendislik ve sosyal alanlarda sıkça karşılaşılan bağımlı değişkenin kesikli veya sürekli dağılıma sahip olması durumunun, bağımsız değişken(ler)le modellenmesine olanak veren yöntemlerden biridir. Bu çalışmada, bağımsız değişkenlerin modelde yer alma biçimlerinin belirlenmesinde tanısal grafiklerden yararlanılmıştır. Bu amaçla kısmi ve augmented kısmi artıklar ile bu artıklara ait grafikler tanıtılarak, modellemede sıkça kullanılan artık grafikleri ile karşılaştırılmıştır. Uygulama olarak, 1965-1998 yılları arasındaki grev sayılarının sendikalaşma oranı, ücret oranı, işyeri ve kapanan işyeri sayılarıyla olan ilişkisi analiz edilmiş ve en uygun model seçilmeye çalışılmıştır. Analiz sonucunda; kısmi artık ve augmented kısmi artık grafiklerinin, ele alınan tüm bağımsız değişkenlerin modelde yer alma biçimini daha belirgin biçimde gösterdiği sonucuna varılmıştır.

Keywords

Artık, Augmented kısmi artık, Genelleştirilmiş lineer modeller, Grev, Kısmi artık

Partial and augmented partial residuals and plots in generalized linear models

Abstract

Generalized linear models; It is one of the methods that allows the modeling of the dependent variable having discrete or continuous distribution, which is frequently encountered in science, engineering and social fields, with independent variable(s). In this study, diagnostic graphics were used to determine the form of the independent variables were included in the model. For this purpose, partial and augmented partial residuals and graphs of these residuals were introduced and compared with the residual graphs that are frequently used in modeling. As an application, the relationship between the number of strikes between 1965 and 1998 with the unionization rate, wage rate, number of workplaces and closed workplaces was analyzed and the most suitable model was chosen. It is concluded that partial residual and augmented partial residual graphs show the functions of all the independent variables are included in the model more accurately.

Keywords

Residual, Augmented partial residual, Generalized linear models, Strikes, Partial residual

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