مقارنة معاملات ثبات درجات الاختبار في ظل مجموعة من الاشتراطات : دراسة محاكاة مونت كارلو

الملخص EN

In this study, a comparison was made between the values and relative bias ratios of thirteen different types of reliability coefficients, which are the Guttman reliability lower bounds coefficients (λ₁, λ₂, λ₃, λ₄, λ₅, λ₆), and the Cronbach alpha reliability coefficient (α), and the Total Omega coefficient (ω_t), Hierarchical Omega-asymptotic coefficient (ω_h), Greatest lower bound coefficient (glb), Polychoric alpha coefficient (α_poly), Worst split half coefficient (β), Alpha-stratified coefficient (α_strata), and Maximal Reliability Coefficient (H) through data generated by Monte Carlo method with two measurement frames unidimensional and multidimensional models through four data conditions (Data Type - Response Options - Test Length - Sample Size), and it became clear from the results that there are four types of reliability coefficients that give the highest estimation coefficient of measurement reliability and can be considered non-bias reliability coefficients as it outperforms the traditional Cronbach alpha coefficient, making it the best for use in different data cases, namely the total omega reliability coefficient (ω_t), the greatest lower bound reliability coefficient (glb), the maximum Guttman lower bound reliability coefficient (λ₄), and the polychoric alpha reliability coefficient (α_poly).

The best performance among them was Total Omega Coefficient performance (ω_t), which gave the highest values of reliability with the lowest relative bias for the majority of interactions between cases of data types and tests, and the diversity of sample sizes.