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

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 ωh, 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 ωh 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.

Anahtar Kelimeler:

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

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 ωh, 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 ωh 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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