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Detection of Measurement Equivalence by Structural Equation Modeling and Item Response Theory

Oya Somer, Mediha Korkmaz, Seda Dural, Seda Can
2009; 24(64):61-75

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The purpose of the present study was to investigate measurement equivalence for male and female comparison groups in the DIF and MACS methods by using the data obtained from a personality subscale and to discuss the estimated parameter results obtained from these two methods. The participants were 500 females and 500 males from the adult norm sample of Big Five Personality Inventory Proneness to Anxiety subscale developed by Somer and her colleagues (2004). MACS analyses were conducted by using LISREL 8.8; DIF analyses were conducted by using PARSCALE 4.1 computer programs. MACS results showed that the factor loadings were found to be invariant for male and female groups however it was seen in the DIF results that the 10th item was functioning differentially between comparison groups. Moreover, the results concerning the invariance of the intercepts estimated in the MACS and the item location parameters estimated in the DIF analyses showed that the 5th, 6th, 9th and 11th items were differentiated signifcantly between males and females in both methods. Although the results obtained from both methods revealed similar results, when the advantages and disadvantages of these methods were taken into consideration, the application of both methods together in measurement equivalence studies is suggested.

Keywords: Measurement equivalence, mean and covariance structure model, differential item functioning