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Monitoring Countries in a Changing World: A New Look at DIF in International Surveys

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Abstract

This paper discusses the issue of differential item functioning (DIF) in international surveys. DIF is likely to occur in international surveys. What is needed is a statistical approach that takes DIF into account, while at the same time allowing for meaningful comparisons between countries. Some existing approaches are discussed and an alternative is provided. The core of this alternative approach is to define the construct as a large set of items, and to report in terms of summary statistics. Since the data are incomplete, measurement models are used to complete the incomplete data. For that purpose, different models can be used across countries. The method is illustrated with PISA’s reading literacy data. The results indicate that this approach fits the data better than the current PISA methodology; however, the league tables are nearly identical. The implications for monitoring changes over time are discussed.

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Notes

  1. In fact, PISA consists of participating economies. However, since most economies are countries, and since we think that the term countries is easier for the reader, we use the term countries instead of economies.

  2. The parameters of polytomous items are connected with a dotted line.

  3. The data were retrieved from http://pisa2003.acer.edu.au/downloads.php and http://pisa2006.acer.edu.au/downloads.php on August 22nd, 2013.

  4. The item numbering is according to the order in which the items appear in booklet 6 of PISA 2006.

  5. Around 2000, it has been discussed whether this construct should be part of the PISA survey.

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Correspondence to Robert J. Zwitser.

Appendix

Appendix

See Table 5.

Table 5 Item parameters of the models explained in Section 4.1.

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Zwitser, R.J., Glaser, S.S.F. & Maris, G. Monitoring Countries in a Changing World: A New Look at DIF in International Surveys. Psychometrika 82, 210–232 (2017). https://doi.org/10.1007/s11336-016-9543-8

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