Formulación y validación de un modelo logístico lineal para la tarea de adición y sustracción de fracciones y números mixtos

• Autores: Paula Elosua Oliden, Alicia López Jauregui
• Localización: Psicothema, ISSN-e 1886-144X, ISSN 0214-9915, Vol. 14, Nº. 4, 2002, págs. 802-809
• Idioma: español
• Enlaces
  • Texto completo (pdf)
• Dialnet Métricas: 2 Citas
• Resumen

  • En este trabajo se analizan los componentes cognitivos implicados en la realización de una tarea matemática de rendimiento, concretamente la adición y sustracción de fracciones y números mixtos, mediante el modelo logístico lineal de Fisher (LLTM, 1973). La validación de la estructura cognitiva propuesta, reflejada en la matriz de pesos de los componentes, se lleva a cabo mediante el análisis QA (asignación cuadrática). Los resultados confirman que dicha matriz describe adecuadamente los componentes cognitivos requeridos para resolver los ítems del test.

• Referencias bibliográficas
  • Andersen, E.B. (1973). A goodness of fit test for the Rasch model. Psy chometrika, 38, 123-140.
  • Anderson, J.R. (1976). Language, Memory and Thought. Hillsdale, NJ: Lawrence Erlbaum Associates.
  • Baker, F.B. y Hubert, L.J. (1977). Inference procedures for ordering theory. Journal of Educational Statistics, 2(3), 217-233.
  • Borgatti, S.P., Everett, M.G. y Freeman, L.C. (1992). Ucinet IV Version 1.35. Columbia, SC: Analytic Technologies.
  • Butter, R. y De Boeck, P. (1998). An item response model with internal restrictions on item difficulty. Psychometrika, 63(1), 47-63.
  • Cliff, A.D. y Ord, J.K. (1981). Spatial processes: Models and aplications. London: Pion.
  • Embretson, S .E. (1983). Construct validity: construct representation versus nomothetic span. Psychological Bulletin, 93(1), 179-197.
  • Embretson, S.E. (1984). A General Latent Trait Model for response process. Psychometrika, 49(2), 175-186.
  • Embretson, S.E. (1985). Introduction to the problem of test design.En S.E. Embretson (Ed.), Test design: Developments in psychology and psychometrics....
  • Embretson, S.E., y Wetzel, D. (1987). Component latent trait models for paragraph comprehension tests. Applied psychological measurement,...
  • Embretson, S.E. (1991). A multidimensional latent trait model for measuring learning and change. Psychometrika, 56, 495-515.
  • Embretson, S.E. (1994). Aplications of Cognitive Design Systems to Test Development. En C.R. Reynolds (Ed.), Cognitive Assessment; A Multidisciplinary...
  • Embretson, S.E. (1995a). A measurement model for linking individual learning to processes and knowledge: application to mathematical reasoning....
  • Embretson, S.E. (1995b). The role of working memory capacity and general control processes in intelligence. Intelligence, 20, 169-189.
  • Embretson, S.E. (1999). Generating items during tests: Psychometric issues and models. Psychometrika, 64(4), 407-433.
  • Embretson, S.E. y Reise, S.P. (2000). IRT applications in cognitive and developmental assessment. En S.E. Embretson y S.P. Reise (Eds.), Item...
  • English, L.D.H. y Halford, G.S. (1995). Mathematics Education. Models And Processes. Mahwah, New Jersey, Lawrence Erlbaum Associates, Publishers.
  • Fisher, G.H. (1973). The linear logistic test model as an instrument in educational research. Acta psychologica, 37, 359-374.
  • Fisher, G.H. (1977). Linear logistic trait models: Theory and application. En H. Spada y W.F. Kempf (Eds.), Structural models of thinking...
  • Fisher, G.H. (1983). Logistitc latent trait models with linear constraints. Psychometrika, 48, 3-26.
  • Fisher, G.H. (1995). The Linear Logistic Test Model. En G.H. Fisher e I. W. Molenaar (Eds.), Rasch models: Foundations, recent developments,...
  • Fisher, G.H. y Ponocny-Seliger, E. (1998). Structural Rasch modeling: Handbook of the usage of LPCM-WIN 1.0. Groningen: ProGAMMA.
  • Frederiksen, N. , Mislevy, R. y Béjar, I.I. (1993 ). Test theory for a new generation of tests. Hillsdale, NJ: Lawrence Erlbaum Associates...
  • Hambleton, R.K., Swaminathan, H. y Rogers, H.J. (1991). Fundamentals of item response theory: Sage Publications.
  • Hornke, L.F. y Habon, M.W. (1986). Rule-based item bank construction and evaluation within the linear logistic framework. Applied psychological...
  • Hubert, L. y Schultz, J. (1976). Quadratic assignment as a general data analysis strategy. British Journal of Mathematical and Statistical...
  • Hubert, L., Golledge, R.G., Costanzo, C.M., Gale, N. y Halperin, W.C. (1984). Nonparametric tests for directional data. En G. Bahrenberg,...
  • Hubert, L.J. (1985). Combinatorial data analysis: Association and partial association. Psychometrika, 50(4), 449-467.
  • Maris, E.M. (1995). Psychometric latent response models. Psychometrika, 60(4), 523-547.
  • Medina Díaz, M. (1993). Analysis of cognitive structure using the linear logistic test model and quadratic assignment. Applied psychological...
  • Mislevy, R.J. y Bock, R.D. (1990). BILOG 3: Item analysis and test sco ring with binary logistic models [Computer program]. Mooresville, IN:...
  • Mislevy, R.J. y Verhelst, N.D. (1990). Modeling item responses when different subjects employ different solution strategies. Psychometrika,...
  • Nandakumar, R. y Stout, W. (1993). Refinements of Stout’s procedure for assessing latent trait unidimensionality. Journal of Educational Statistics,...
  • Newell, A. y Simon, H.A. (1972). Human problem solving. Englewood Cliffs, NJ: Prentice Hall.
  • Pereda, L. (1975). Matemáticas. Desarrollos didácticos. Erein. Prieto, G. y Delgado, A.R. (2000). Utilidad y representación en la psicometría...
  • Rasch, G. (1960). Probabilistic models for some intelligence and attain ment tests. Chicago, IL: University of Chicago Press.
  • Real, E., Olea, J., Ponsoda, V., Revuelta, J. y Abad, F. J. (1999). Análisis de la dificultad de un test de matemáticas mediante un modelo...
  • Revuelta, J. y Ponsoda, V. (1999). Generación automática de ítems. En J. Olea, V. Ponsoda y G. Prieto (Eds.), Tests adaptativos Informatizados:...
  • Rost, J. (1990). Rasch models in latent classes: An integration of two approaches to item analysis. Applied Psychological Measurement, 14(3),...
  • Simon, H.A. (1978). Information - processing tehory of human problem solving. En W.K. Estes (Ed.), Handbook of learning and cognitive processes...
  • Smith, R.M., Kramer, G.A. y Kubiak, A.T. (1992). Components of difficulty in spatial ability test items,Objective Measurement: Theory into...
  • Spada, H. y May, R. (1982). The linear logistic test model and its application in educational research. En D. Spearrit (Ed.), The improvement...
  • Spada, H. y McGaw, B. (1985). The assesment of learning effects with linear logistic test models. En S. Embretson (Ed.), Test design: developments...
  • Stout, W.F. (1987). A nonparametric approach for assessing latent trait unidimensionality. Psychometrika, 52, 589-617.
  • Suárez, J .C. y Martínez, R. (2000). Análisis del funcionamiento de índices de ajuste al item ante la violación del supuesto de curvas paralelas...
  • Tatsuoka, K.K. (1983). Rule space: An approach for dealing with misconceptions based on item response theory. Journal of Educational Measurement,...
  • Tatsuoka, K.K., Birenbaum, M., Yamamoto, K. y Dowd, B. (1984). Analysis of errors in fraction addition and substraction problems (NIE-G-81-...
  • Whitely, S.E. (1980). Multicomponent latent trait models for ability tests. Psychometrika, 45(4), 175-186.
  • Yamamoto, K. y Gitomer, D.H. (1993). Application of a HYBRID model to a test of cognitive skill representation. En N. Frederiksen, R. Mislevy...