*** This website is an archived version from 2011 ***
FWF Project: PKSIRT
 
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Department of Psychology
School of Natural Sciences  
University of Graz            
Projects                               
  Overview                         
  Mathematical Modelling     
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Mathematical Modeling

The aim of this project is to develop probabilistic versions of Knowledge Space Theory models 'surmise relation' and 'surmise system'. The approach pursued is nonparametric. Model evaluation criteria are derived. The probabilistic models are compared with existing models in Knowledge Space Theory and Nonparametric Item Response Theory.

Publications

  » Ünlü, A. (in press). Estimation of careless error and lucky guess probabilities for dichotomous test items: A psychometric application of a biometric latent class model with random effects. Journal of Mathematical Psychology (Special Falmagne Celebration Issue).
  »

Ünlü, A. (2005). Analysis of multinomial response data: a measure for evaluating knowledge structures. Proceedings of the 11th International Symposium on Applied Stochastic Models and Data Analysis, accepted for publication. [PDF, restricted access]

  » Ünlü, A., & Kickmeier-Rust, M.D. (2005). EPM: a strategy for principal axis minimization. Proceedings of the 14th Hellenic European Conference on Computer Mathematics & its Applications, accepted for publication. Athens, Greece: Lea Publishers. [PDF, restricted access]


Working Papers

  » Papers in progress (restricted access)


Presentations

  » Aug. 2004 Ünlü, A. (2004a). Formal modeling in cross-cultural psychology: Selecting among knowledge structures using the coefficient kappa. Poster presented at the 28th International Congress of Psychology, Beijing, China.
  » Sept. 2004 Ünlü, A. (2004b). Estimating response error rates by means of latent class modeling with random effects. Talk at the 35th European Mathematical Psychology Group Meeting, Ghent, Belgium. [PDF, restricted access]
  » April 2005 Ünlü, A. (2005a). Probabilistic Models. Talk at the Erasmus IP Course on Formal Modelling in the Behavioural Sciences (Knowledge Space Theory and Item Response Theory), Graz, Austria. [PDF, 118 kB]
  » April 2005 Ünlü, A. (2005b). Goodman-Kruskal-type model evaluation in knowledge space theory. Invited talk at Purdue University (Prof. Ehtibar N. Dzhafarov), USA. [PDF, restricted access]
  » May 2005 Ünlü, A. (2005c). Analysis of multinomial response data: a measure for evaluating knowledge structures. Talk at the 11th International Symposium on Applied Stochastic Models and Data Analysis, Brest, France.
[PDF, restricted access]
  » July 2005 Ünlü, A. (2005d). The basic local independence model in knowledge space theory and axioms / properties in nonparametric item response theory.
Talk at the 14th International Meeting of the Psychometric Society, Tilburg,
The Netherlands. [PDF, restricted access]
  » Sep. 2005 Ünlü, A., & Albert, D. (2005a, September). Towards a nonparametric probabilistic approach in knowledge space theory. Talk at the 36th European Mathematical Psychology Group Meeting, Padua, Italy.
  » Oct. 2005 Kickmeier-Rust, M. D., & Ünlü, A. (2005, October). An extension of the principal axis minimization algorithm. Talk at the 2nd Research Symposium of the Center for Quantitative and Computational Sciences, Graz, Austria.
  » Nov. 2005 Ünlü, A., & Albert, D. (2005b, November). Some relations between item response theory and knowledge space theory. Talk at the 1st ASO Workshop on Cognitive Systems: Experiments, Model-ling and Testing in Vision, Judgement and Knowledge, Graz, Austria.
  » Jan. 2006 Ünlü, A. (2006, January). Multi-parameter models, estimation, identifiability, and model selection. Invited talk at the Center for Adaptive Behavior and Cognition, Max Planck Institute for Human Development, Berlin, Germany.

Internal Reports

  » Latent class analysis and probabilistic knowledge space theory [PDF, restricted access]
  »

Popular models in parametric and nonparametric item response theory and probabilistic knowledge space theory for dichotomous items [PDF, restricted access]

  » Linear basic local independence model and important relationships from nonparametric item response theory [PDF, restricted access]
  » Estimating response error rates by means of latent class modeling with random effects
[PDF, restricted access]
  » Popular models in parametric and nonparametric item response theory and probabilistic knowledge space theory, and the linear basic local independence model and the important
axioms of monotonicity and nonintersection in nonparametric item response theory
[PDF, restricted access]

Miscellaneous

  » April 3-12, 2005 CSS hosted the Erasmus IP Course on Formal Modelling in the Behavioural Sciences (Knowledge Space Theory and Item Response Theory).
  » July 4, 2005 Participation (Ali Ünlü) at the preconference workshop at the 14th International Meeting of the Psychometric Society, Tilburg, The Netherlands on Bayesian Data Analysis with WinBugs.
Organizer: Matthew Johnson (City University of New York).
  » July 9, 2005 Participation (Ali Ünlü) at the postconference workshop at the 14th International Meeting of the Psychometric Society, Tilburg, The Netherlands on A nonlinear mixed framework for explanatory item response models.
Organizers: Paul De Boeck, Frank Rijmen, Francis Tuerlinckx (K.U.Leuven, Belgium), Mark Wilson (UC, Berkeley).

 

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