On the Extended Specific Objectivity of Some Pseudo-Rasch Models Applied in Testing Scenarios

The design of a Computer Adaptive Testing (CAT) system assumes the existence of an item pool containing properly calibrated items. The calibration is based on an Item Characteristic Curve (ICC). In this paper two mathematical ICC models, and how these models properly fit into the concept of extended Rasch specific objectivity, are under analysis. The results make clear that the comparison between two items depends on subdomains of the complete domain of the corresponding ICC’s. The introduced models are also useful to describe the characteristics of skewness and bimodality in the population, where classical models commonly fail.

[1]  R. Hambleton,et al.  Handbook of Modern Item Response Theory , 1997 .

[2]  H. Irtel.  An extension of the concept of specific objectivity , 1995 .

[3]  Aharon Yadin,et al.  Using unique assignments for reducing the bimodal grade distribution , 2013, INROADS.

[4]  Albert Maydeu-Olivares,et al.  Goodness-of-Fit Testing , 2010 .

[5]  Allan S. Cohen,et al.  IRT Model Selection Methods for Dichotomous Items , 2007 .

[6]  H. Scheiblechner.  Rasch and Pseudo-Rasch Models: Suitableness for Practical Test Applications1 , 2009 .

[7]  H. Bolfarine,et al.  Bayesian Estimation of the Logistic Positive Exponent IRT Model , 2010 .

[8]  D. Magis.  A Note on the Item Information Function of the Four-Parameter Logistic Model , 2013 .

[9]  Anthony V. Robins,et al.  Learning edge momentum: a new account of outcomes in CS1 , 2010, Comput. Sci. Educ..

[10]  Wim J. van der Linden.  Linking Response-Time Parameters onto a Common Scale. , 2010 .

[11]  Fotis Lazarinis,et al.  Creating personalized assessments based on learner knowledge and objectives in a hypermedia Web testing application , 2010, Comput. Educ..

[12]  G. Hecht,et al.  Myosin regulation of NKCC1: effects on cAMP-mediated Cl- secretion in intestinal epithelia. , 1999, American journal of physiology. Cell physiology.

[13]  Eduardo Guzmán,et al.  A Model for Student Knowledge Diagnosis Through Adaptive Testing , 2004, Intelligent Tutoring Systems.

[14]  P. Gottschalk,et al.  The five-parameter logistic: a characterization and comparison with the four-parameter logistic. , 2005, Analytical biochemistry.

[15]  Geoffrey A Head,et al.  A five-parameter logistic equation for investigating asymmetry of curvature in baroreflex studies. , 1999, American journal of physiology. Regulatory, integrative and comparative physiology.

[16]  H. Bolfarine,et al.  A skew item response model , 2006 .

[17]  Andrej Favia,et al.  Data Analysis Using Item Response Theor y Methodology: An Introduction to Selected Programs and Applications. , 2012 .

[18]  Ngoc Thanh Nguyen,et al.  A Computer Adaptive Testing Method for Intelligent Tutoring Systems , 2010, KES.

[19]  H. Wainer.  A Test of Graphicacy in Children , 1980 .