Modelling Figural Analogies Test with the Item Response Theory
DOI:
https://doi.org/10.24310/espsiescpsi.v4i3.13324Keywords:
Analogies, Matrices, Item Response TheoryAbstract
The psychometric properties of a Figural Analogies Test are described within the framework of Item Response Theory. Thirty-six 2x2 matrix figures were constructed by using location, distortion and number rules. The sample included 499 psychology students from the University of Buenos Aires, 79% of whom were women. The 3-Parameter Logistic Model was used obtaining a highly satisfactory global fit at 5% (p = .47). Only 3 items did not fit the model. It had good overall discriminatory power (a: M = 1.02, SD = .33), a medium level of difficulty (b: M = -.03, SD = .63) and the c level was slightly lower than expected with six possible answers (c: M = .14, SD = .05). The conditions for modelling the test and possible disadvantages of the present study are discussed.
Downloads
Metrics
References
Birnbaum, A. (1968). Some latent trait models and their use in inferring an examinee’s ability. En F. M. Lord & M. R. Novick (Eds.). Statistical Theories of Mental Test Scores (pp. 397-479). Reading, MA: Addison Wesley.
Blum, G.D.; Abal, F.J.P.; Lozzia, G.S.; Picón Janeiro, J.C. & Attorresi, H.F. (2011). Analogías de figuras: Teoría y construcción de ítemes. Interdisciplinaria. Revista de psicología y ciencias afines, 28 (1), 131-144.
Brown, L., Sherbenou, R.J. & Johnsen, S.K. (2000). TONI 2. Test de Inteligencia No Verbal. Apreciación de la habilidad cognitiva sin influencia del lenguaje. Manual. Madrid: TEA.
Carmines, E.G. & Zeller, R.A. (1979). Reiability and validity assessment. Londres: Sage.
Cattell, R.B. (1971). Abilities: Their structure, growth and action. Boston: Houghton Mifflin.
Cattell, R.B. & Cattell, A.K.S. (1997). Factor “g” 2 y 3 Manual. Adaptación española: A. Cordero, M.V. De la Cruz, M. González & N. Seisdedos. Madrid: TEA.
Cohen, J. (1988). Statistical power Analysis for the behavioral sciences (2nd Ed.). Hillsdale, N.J., Erlbaum.
Coe, R. & Merino, C. (2003) Magnitud del efecto: Una guía para investigadores y usuarios. Revista de Psicología - PUCP, 21, 147-177.
Cubillo, J.C. & González Labra, M.J. (1998). El razonamiento analógico como solución de problemas. En M.J. González Labra (Ed.), Introducción a la psicología del pensamiento (pp. 409-451). Madrid: Trotta.
Elosua, P. (2003). Sobre la validez de los tests. Psicothema, 15, 315-321.
Embretson, S.E. (1983). Construct validity: Construct representation versus nomothetic span. Psychological bulletin, 93, 179-197. http://dx.doi.org/10.1037/0033-2909.93.1.179
Embretson, S.E. (1984). A general latent trait model for response processes. Psychometrika, 49, 175-186. http://dx.doi.org/10.1007/BF02294171
Embretson, S.E. (1991). A multidimensional item response model for learning processes. Psychometrika, 56, 495-515. http://dx.doi.org/10.1007/BF02294487
Embretson, S.E. & Reise, S.P. (2000). Item response theory for psychologists. Mahwah: Lawrence Erlbaum Associates Inc.
Enzmann, D. (2005). Dirk Enzmann – Statistical Software (Some Useful Things). Extraído el 1 de setiembre de 2010 de http://www2.jura.uni-hamburg.de/instkrim/kriminologie/Mitarbeiter/Enzmann/Software/Enzmann_Software.html.
Fischer, G. (1973). Linear logistic test model as an instrument in educational research. Acta Psychologica, 37, 359-374. http://dx.doi.org/10.1016/0001-6918(73)90003-6
Freund, P.A., Hofer, S. & Holling, H. (2008). Explaining and controlling for the psychometric properties of computer-generated figural matrix items. Applied Psychological Measurement, 32, 195-210. http://dx.doi.org/10.1177/0146621607306972
García-Cueto, E. & Fidalgo, A.M. (2005). Análisis de los ítems. En J. Muñiz, A.M. Fidalgo, E. García-Cueto, R. Martínez y R. Moreno (Eds.), Análisis de los ítems (pp. 53-130). Madrid: La Muralla.
Hanson, B.A. & Beguin, A.A. (2002). Obtaining a common scale for item response theory item parameters using separate versus concurrent estimation in the common-item equating design. Applied Psychological Measurement, 26, 3-24. http://dx.doi.org/10.1177/0146621602026001001
Lazarsfeld, P.F. (1950). The logical and mathematical foundation of latent structure analysis. En S. A. Stoufer et al. (Eds.). Measurement and Prediction. Princeton: Princeton University Press.
Lord, F.M. & Novick, M.R. (1968). Statistical theories of mental tests scores. Reading, MA: Addison-Wesley.
Martínez Arias, R. (1995). Psicometría: Teoría de los tests psicológicos y educativos. Madrid: Síntesis.
Martínez Arias, R., Hernández Lloreda, M.V. & Hernández Lloreda, M.J. (2006). Psicometría. Madrid: Alianza.
Mulholland, T.M., Pellegrino, J.W. & Glaser, G. (1980). Components of geometric analogy solution. Cognitive Psychology, 12, 252-84. http://dx.doi.org/10.1016/0010-0285(80)90011-0
Muñiz, J. (1994). Teoría clásica de test. Madrid: Pirámide.
Pereda Marín, S. (1987). Psicología Experimental. Madrid: Pirámide.
Rasch, G. (1960). Probabilistic models for some intelligence and attainment tests. Copenhague: The Danish Institute for Educational Research.
Raven, J.C., Court, J.H. & Raven, J. (1993). Test de matrices progresivas. Escalas coloreada, general y avanzada. Manual. Buenos Aires: Paidós.
Raven, J., Raven, J.C. & Court, J.H. (1991). Manual for Raven’s Progressive Matrices and Vocabulary Scales. Sections 1, 2, 3 and 4. Oxford: Oxford Psychologists Press.
Rivera, S. (2000). Las ciencias formales en la era posmoderna. En E. Díaz (Ed.). La posciencia: el conocimiento científico en las postrimetrías de la modernidad (pp. 83-113). Buenos Aires: Biblos.
Spearman, C.E. (1904). General intelligence objectively determined and measured. American Journal of Psychology, 15, 201-293. http://dx.doi.org/10.2307/1412107
Spearman, C.E. (1907). Demonstration of formulae for true measurement of correlation. American Journal of Psychology, 18, 161-169. http://dx.doi.org/10.2307/1412408
Spearman, C.E. (1913). Correlations of sums and differences. British Journal of Psychology, 5, 417-126.
Spearman, C.E. (1923). The Nature of intelligence and the principles of cognition. Londres: MacMillan.
Sternberg, R.J. (1977). Intelligence, information processing and analogical reasoning: the componential analysis of human abilities. Hillsdale, NJ: Lawrence Erlbaum Associates.
Sternberg, R.J. (1987). Inteligencia humana II: Cognición, personalidad e inteligencia. Barcelona: Paidós.
Thurstone, L.L. (1928). Attitudes can be measured. American Journal of Sociology, 33, 529-554. http://dx.doi.org/10.1086/214483
Waller, N.G. (1995). MicroFact 1.1 A microcomputer factor analysis program for ordered polytomous data and mainframe size problems. St. Paul Minessota: Assessment System Corporation.
Whitely, S.E. & Schneider, L.M. (1981). Information structure for geometric analogies: A test theory approach. Applied Psychological Measurement, 5, 383-397. http://dx.doi.org/10.1177/014662168100500312
Wolf Nelson, N. & Gillespie, L.L. (1991). Analogies for thinking and talking. Words, pictures and figures. Tucson: Communication Skill Builders.
Yen, W.M. (1987). A comparison of the efficiency and accuracy of BILOG and LOGIST. Psychometrika, 52, 275-291. http://dx.doi.org/10.1007/BF02294241
Zimowski, M., Muraki, E., Mislevy, R. y Bock, R. (1996). BILOG-MGTM: Multiple-group IRT analysis and test maintenance for binary items [Computer program]. Chicago, IL: Scientific Software International.
Downloads
Published
How to Cite
Issue
Section
License
All contents published in Escritos de Psicología are protected under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) license. All about this license is available in the following link: <http://creativecommons.org/licenses/by-nc-sa/4.0>
Users can copy, use, redistribute, share and exhibit publicly as long as:
- The original source and authorship of the material are cited (Journal, Publisher and URL of the work).
- It is not used for comercial purposes.
- The existence of the license and its especifications are mentioned.
There are two sets of authors’ rights: moral and property rights. Moral rights are perpetual prerogatives, unrenounceable, not-transferable, unalienable, imprescriptible and inembargable. According to authors’ rights legislation, Escritos de Psicología recognizes and respects authors moral rights, as well as the ownership of property rights. The property rights are referred to the benefits that are gained by the use or the dissemination of works. Escritos de Psicología is published in an open access form and it is exclusively licenced by any means for doing or authorising distribution, dissemination, reproduction, , adaptation, translation or arrangement of works.
Authors are responsable for obtaining the necessary permission to use copyrighted images.