Abstract
This study explored the effect of item difficulty and sample size on the accuracy of equating by using item response theory. This study used simulation data. The equating method was evaluated using an equating criterion (SEE, RMSE). Standard error of equating between the criterion scores and equated scores, and root mean square error of equating (RMSE) were used as measures to compare the method to the criterion equating. The results indicated that the large sample size reduces the standard error of the equating and reduces residuals. The results also showed that different difficulty models tend to produce smaller standard errors and the values of RMSE. The similar difficulty models tend to produce decreasing standard errors and the values of RMSE.
Keywords
Subject
Publication details
- DOI
- 10.53543/jeps.vol10iss1pp182-200
- Journal
- Journal of Educational and Psychological Studies, 10(1), 182-200
- Publisher
- Sultan Qaboos University
- Open access
- Unknown
Cite this article
APA 7
Al Mahrouq, Y. A. (2016). Effect of Item Difficulty and Sample Size on the Accuracy of Equating by Using Item Response Theory. Journal of Educational and Psychological Studies, 10(1), 182-200. https://doi.org/10.53543/jeps.vol10iss1pp182-200
MLA 9
Al Mahrouq, Yousef A. "Effect of Item Difficulty and Sample Size on the Accuracy of Equating by Using Item Response Theory." Journal of Educational and Psychological Studies, vol. 10, no. 1, 2016, pp. 182-200. https://doi.org/10.53543/jeps.vol10iss1pp182-200.
Chicago (author–date)
Al Mahrouq, Yousef A. 2016. "Effect of Item Difficulty and Sample Size on the Accuracy of Equating by Using Item Response Theory." Journal of Educational and Psychological Studies 10 (1): 182-200. https://doi.org/10.53543/jeps.vol10iss1pp182-200.
Harvard
Al Mahrouq, Y. A. (2016) 'Effect of Item Difficulty and Sample Size on the Accuracy of Equating by Using Item Response Theory', Journal of Educational and Psychological Studies, 10(1), pp. 182-200. doi:10.53543/jeps.vol10iss1pp182-200.
Vancouver
Al Mahrouq YA. Effect of Item Difficulty and Sample Size on the Accuracy of Equating by Using Item Response Theory. Journal of Educational and Psychological Studies. 2016;10(1):182-200. doi:10.53543/jeps.vol10iss1pp182-200
IEEE
Y. A. Al Mahrouq, "Effect of Item Difficulty and Sample Size on the Accuracy of Equating by Using Item Response Theory," Journal of Educational and Psychological Studies, vol. 10, no. 1, pp. 182-200, 2016, doi: 10.53543/jeps.vol10iss1pp182-200.