Effect of Item Difficulty and Sample Size on the Accuracy of Equating by Using Item Response Theory
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...
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| Format: | Article |
| Language: | Arabic |
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Sultan Qaboos University
2016-01-01
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| Series: | Journal of Educational and Psychological Studies |
| Subjects: | |
| Online Access: | https://journals.squ.edu.om/index.php/jeps/article/view/953 |
| _version_ | 1819274044566929408 |
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| author | Yousef A. Al Mahrouq |
| author_facet | Yousef A. Al Mahrouq |
| author_sort | Yousef A. Al Mahrouq |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-23T23:02:10Z |
| format | Article |
| id | doaj.art-0f8c0ba968c743b09646ab6ccc42d285 |
| institution | Directory Open Access Journal |
| issn | 2218-6506 2521-7046 |
| language | Arabic |
| last_indexed | 2024-12-23T23:02:10Z |
| publishDate | 2016-01-01 |
| publisher | Sultan Qaboos University |
| record_format | Article |
| series | Journal of Educational and Psychological Studies |
| spelling | doaj.art-0f8c0ba968c743b09646ab6ccc42d2852022-12-21T17:26:53ZaraSultan Qaboos UniversityJournal of Educational and Psychological Studies2218-65062521-70462016-01-0110118220010.24200/jeps.vol10iss1pp182-200909Effect of Item Difficulty and Sample Size on the Accuracy of Equating by Using Item Response TheoryYousef A. Al Mahrouq0Ministry of Education, Kingdom of BahrainThis 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.https://journals.squ.edu.om/index.php/jeps/article/view/953Item Response Theory (IRT), equating test. |
| spellingShingle | Yousef 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 Item Response Theory (IRT), equating test. |
| title | Effect of Item Difficulty and Sample Size on the Accuracy of Equating by Using Item Response Theory |
| title_full | Effect of Item Difficulty and Sample Size on the Accuracy of Equating by Using Item Response Theory |
| title_fullStr | Effect of Item Difficulty and Sample Size on the Accuracy of Equating by Using Item Response Theory |
| title_full_unstemmed | Effect of Item Difficulty and Sample Size on the Accuracy of Equating by Using Item Response Theory |
| title_short | Effect of Item Difficulty and Sample Size on the Accuracy of Equating by Using Item Response Theory |
| title_sort | effect of item difficulty and sample size on the accuracy of equating by using item response theory |
| topic | Item Response Theory (IRT), equating test. |
| url | https://journals.squ.edu.om/index.php/jeps/article/view/953 |
| work_keys_str_mv | AT yousefaalmahrouq effectofitemdifficultyandsamplesizeontheaccuracyofequatingbyusingitemresponsetheory |