Using the Rasch Model to Place Scores from Different Tests on the Same Scale

Authors

  • Gerardo Prieto Adánez Universidad de Salamanca, Facultad de Psicología Author
  • Angela Dias Velasco Universidad Estadual Paulista, São Paulo Author

DOI:

https://doi.org/10.15517/m995dm73

Keywords:

Test anchoring, test linking, test equating, Rasch model

Abstract

Test users have to link scores of different instruments in several practical situations, such as academic assessment, personnel selection, change studies, item banking, cross-cultural validity studies, and differential item functioning analyses. Test linking is one of the main utilities of the Rasch model. In this paper, we show the process of linking two tests (design, data analysis and interpretation) using as anchor a commom set of items.

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References

Adams, R.J. & Khoo, S. (1996). Quest: The interactive test analysis system. Victoria: ACER.

American Educational Research Association (AERA), American Psychological Association (APA) & National Council on Measurement in Education (NCME). (1999). Standards for educational and psychological testing. Washington, DC: AERA.

American Psychological Association (1979). Standards for educational and psychological tests and manuals. Wahshington, DC: Autor.

Andrich, D. (1988). Rasch models for measurement. Newbury Park: Sage.

Angoff, W. H. (1984). Scales, Norms and Equivalent Scores. Princeton, NJ: Educational Testing Service.

Assessment Systems Corporation (1995). The Rasch model item calibration program. User´s manual for the MicroCAT testing system. St. Paul, Minnesota.

Bond, T.G. & Fox, C.M. (2001). Applying the Rasch model: fundamental measurement in the human sciences. Mahwah, NJ: LEA.

Burke, C.J. (1963). Measurement scale and statistical models. En M.H. Marx (Ed.). Theories in contemporary psychology. New York: Macmillan.

Embretson, S.E. (1996). Cognitive Design Principles and the Successful Performer: A Study on Spatial Ability. Journal of Educational Measurement, 33, 29-39.

Embretson, S.E. & Hershberger, S.L. (1999). The new rules of measurement. Mahwah, NJ: LEA.

Embretson, S.E. & Reise, S.P. (2000) Item response theory for psychologists. Mahwah, NJ: LEA.

Gulliksen, H. (1950). Theory of mental tests. New York: Wiley.

Hambleton, R. K., Swaminathan, H. & Rogers, H. J. (1991). Fundamentals of item response theory. Beverly Hills, CA: Sage.

Hui, C. H. & Triandis, H. C. (1985). Measurement in cross-cultural psychology: a review and comparison of strategies. Journal of Cross-Cultural Psychology, 16, 131-152.

Irvine, S.H. & Kyllonen, P. (2002). Item generation for test development. Mahwah, NJ: LEA.

Karabatsos, G. (2000a). A critique of Rasch residual fit statistics. Journal of Applied Measurement, 1, 152-176.

Karabatsos, G. (2000b). Using Rasch measures for Rasch model fit analysis. Popular Measurement, 3, 70-71.

Logie, R.H. (1995). Visuo-Spatial Working Memory. Hove: LEA.

Lohman, D.F. (1979). Spatial ability: A review and reanalysis of the correlational literature (Tech. Rep. No. 8). Stanford, CA: Stanford University Press.

Lohman, D.F. (1988). Spatial abilities as traits, processes and knowledge. En R.J. Sternberg (Ed.), Advances in the psychology of human intelligence, Vol. 4. Hillsdale, NJ: Lawrence Erlbaum Associates.

Lohman, D.F. (2000). Complex information processing and intelligence. En R.J.Sternberg (Ed.) Handbook of Intelligence. (pp. 285-340). Cambridge, UK: Cambridge University Press.

Lord, F.M. & Novick, M.R. (1968). Statistical theories of mental tests scores, Reading, Mass.: Addison-Wesley.

Masters, G.N. & Wright, B.D. (1982). Rating scale analysis. Chicago: MESA Press.

Masters, G.N. & Wright, B.D. (1996). The partial credit model. En W.J. van der Linden y R.K. Hambleton (Eds.). Handbook of modern item response theory. New York: Springer.

Meijer, R.R. & Sijtsma, K. (2001). Methodology review: Evaluating person fit. Applied Psychological Measurement, 25, 107-135.

Miyake, A. & Shah, P. (1999). Toward unified theories of working memory. Emerging general consensus, unresolved theoretical issues, and future research directions. En A. Miyake & P. Shah (Eds.), Models of working memory. Mechanisms of active mainenance and executive control. Cambridge, UK: Cambridge University Press.

Muñiz, J. (1997). Introducción a la teoría de respuesta a los ítems. Madrid: Pirámide.

Navas, M.J. (1996). Equiparación de puntuaciones. En J. Muñiz (Coord.) Psicometria. Madrid: Universitas.

Navas, M.J. (2000). Equiparación de puntuaciones: exigencias actuales y retos de cara al futuro. Metodología de las Ciencias del Comportamiento, 2, 151-165.

Peterson, N., Marco, G. & Steward, E. (1982). A test of the adecuacy of linear score equating models. En P. Holland & D. Rubin (Eds.), Tests equating. New York: Academic Press.

Prieto, G. & Almeida, L.S. (1997). Equivalência de puntuaçoes nos testes: Uma solução psicométrica para o dilema émic-étic na avalição psicológica. Psicologia. Teoria, investigaçao e práctica, 2, 19-29.

Prieto, G. & Delgado, A.R. (2002). Diseño cognitivo de un banco de ítems de visualización espacial.

Metodología de las Ciencias del Comportamiento, volumen especial, 452-455.

Prieto, G. & Delgado, A.R. (2003). Análisis de un test mediante el modelo de Rasch. Psicothema, 15, 94-100.

Prieto, G. & Velasco, A. D. (2002). Construção de um teste de visualização a partir da psicologia cognitiva. Avaliação Psicologica,1, 39-47.

Rasch, G. (1960). Probabilistic models for some intelligence and attainment tests. Copenhagen: Danish Institute for Educational Research.

Rasch, G. (1977). On specific objectivity: An attempt at formalizing the request for generality and validity of scientific statements. En M. Glegvad (Ed.). The Danish Yearbook of Philosophy. Copenhagen: Munksgarrd.

Santisteban, C. & Alvarado, J.M. (2001). Modelos psicométricos. Madrid: UNED.

Sheridan, B., Andrich, D. & Luo, G. (1996). Welcome to RUMM: A windows-based item analysis program employing Rasch unidimensional measurement models. User´s Guide.

Smith, R.M. (2000). Fit analysis in latent trait measurement models. Journal of Applied Measurement, 1, 199-218.

Smith, R.M., Schumaker, R.E. & Bush, M.J. (1998). Using item mean squares to evaluate fit to the Rasch model. Journal of Outcome Measurement, 2, 66-78.

Spindler, L.G. (1975). Researching the psychology of cultural-change. En T. R.Williams (Ed.). Psychological Anthropology. The Hague: Mouton.

Torgerson, W.S. (1958). Theory and methods of scaling. New York: Wiley.

Wright, B.D. & Linacre, J.M. (1998). WINSTEPS: A Rasch computer program. Chicago: MESA Press.

Wright, B.D. & Stone, M.H. (1979). Best test design. Rasch measurement. Chicago: MESA Press.

Wu, M.L., Adams, R.J. & Wilson, M.R. (1998). ConQuest: Generalised Item Response Modelling Software. Victoria: ACER.

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Published

2026-09-10

How to Cite

Prieto Adánez , G., & Dias Velasco, A. (2026). Using the Rasch Model to Place Scores from Different Tests on the Same Scale. Actualidades En Psicología, 19(106), 5-23. https://doi.org/10.15517/m995dm73