Örneklem Büyüklüğü, Korelasyon Tekniği ve Faktör Çıkarma Yönteminin Güvenirlik Katsayılarına Etkisi

Year 2018, Volume: 26 Issue: 3, 697 - 706, 15.05.2018

Nuri Doğan Abdullah Faruk Kılıç

https://doi.org/10.24106/kefdergi.413303

Cited By: 2

Abstract

Bu araştırmanın amacı, güvenirlik katsayılarını örneklem
büyüklüğüne (250, 500, 1000, 2500, 5000 ve 9773), EFA faktör çıkarma yöntemine
(PCA, PA, ULS, WLS ve MLE); CFA kestirim yöntemine (UL, ML ve GL) ve korelasyon
matrisine (Pearson, phi ve tetrakorik) göre karşılaştırmaktır. Bu amaçla temel
araştırma yöntemine başvurulmuştur. Araştırma gerçek verilerle yürütülmüş olup
araştırma verileri, 2014 yılında uygulanan Temel Eğitimden Ortaöğretime Geçiş
sınavları Türkçe alt testine cevap veren öğrenci cevaplarından oluşturulmuştur.
Araştırmada McDonald ω, McDonald ω_h, Maximal güvenirlik, Armor Ɵ,
Heise ve Bohrnstedt Ω, Revelle β ve Standartlaştırılmış Alfa katsayıları
karşılaştırılmıştır. Araştırma sonucunda aynı korelasyon matrisi için örneklem
büyüklüğünün çok değişikliğe neden olmadığı gözlenmiştir. Tetrakorik
korelasyonla hesaplanan McDonald ω_h ve Revelle β katsayılarının
1’den büyük olduğu bazı koşulların bulunduğu araştırmanın bir diğer bulgusudur.
Araştırma sonuçlarına göre bu katsayıların konjerik tek faktörlü yapılar için
phi korelasyonuyla hesaplanmasını önerilmiştir. Diğer bulgular literatür
eşliğinde tartışılmış ve önerilerde bulunulmuştur.

Keywords

güvenirlik, McDonald ω, maximal güvenirlik, Armor Ɵ, Heise ve Bohrnstedt Ω, Revelle β, standartlaştırılmış alfa

The Effects of Sample Size, Correlation Technique, and Factor Extraction Method on Reliability Coefficients

Abstract

This
study aims to compare reliability coefficients according to sample size (250,
500, 1,000, 2,500, 5,000, and 9,773), EFA factor extraction methods (PCA, PA,
ULS, WLS, and MLE), CFA estimation methods (UL, ML, and GL), and correlation
matrices (Pearson, phi, and tetrachoric). Therefore, it employs a basic research
method. The study was conducted with
real data, and the data were collected from students’ answers to a Turkish
sub-test in the Test for Transition from Basic Education into Secondary
Education administered in 2014. Within the scope of the study, McDonald ω,
McDonald ω_h, maximal reliability, Armor Ɵ, Heise and Bohrnstedt Ω,
Revelle β, and standardized alpha coefficients were compared. Consequently, it
was found that sample size in the same correlation matrices did not lead to
serious changes. It was also found that McDonald ω_h and Revelle β
coefficients calculated with a tetrachoric correlation were bigger than 1 in some
conditions. It was recommended in consequence that those coefficients should be
calculated through phi correlations for congeric one-factor structures. Other
findings obtained support the literature, and necessary suggestions are made. 

Keywords

: reliability, McDonald ω, maximal reliability, Armor Ɵ, Heise and Bohrnstedt Ω, Revelle β, standardized alpha

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