caa a22 4500 606241841 CHVBK 20210128101315.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s11336-013-9371-z doi (NATIONALLICENCE)springer-10.1007/s11336-013-9371-z A Priori Reliability of Tests with Cut Score [Elektronische Daten] [Guido Magnano, Chiara Tannoia, Chiara Andrà] The theoretical probability of misclassification in a mastery test is exactly computed using the raw score probability distribution (in the Rasch model) as a function of the examinee's latent ability. The resulting misclassification probability curve, together with the latent ability distribution in the group of examinees, completely determines the expected rate of classification errors. It is shown that several distinct ability thresholds, playing different roles in connection to classification reliability, can be associated to a test with a single cut score. In particular, it is possible to define (and compute) two relevant ability intervals, which encapsulate the functioning of a mastery test (about and far from the cut score, respectively); the dependence of these intervals on the item difficulty spectrum is investigated. Extension to the 2PL model is also discussed, with emphasis on the effects of weighted scoring. The Psychometric Society, 2013 Rasch model nationallicence mastery tests nationallicence cut score nationallicence reliability nationallicence classification consistency nationallicence Magnano Guido Department of Mathematics, University of Turin, Via Carlo Alberto 10, 10123, Torino, Italy aut Tannoia Chiara Department of Mathematics, University of Turin, Via Carlo Alberto 10, 10123, Torino, Italy aut Andrà Chiara Department of Mathematics, University of Turin, Via Carlo Alberto 10, 10123, Torino, Italy aut Psychometrika Springer US; http://www.springer-ny.com 80/1(2015-03-01), 44-64 0033-3123 80:1<44 2015 80 11336 https://doi.org/10.1007/s11336-013-9371-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11336-013-9371-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Magnano Guido Department of Mathematics, University of Turin, Via Carlo Alberto 10, 10123, Torino, Italy aut NATIONALLICENCE 700 1- Tannoia Chiara Department of Mathematics, University of Turin, Via Carlo Alberto 10, 10123, Torino, Italy aut NATIONALLICENCE 700 1- Andrà Chiara Department of Mathematics, University of Turin, Via Carlo Alberto 10, 10123, Torino, Italy aut NATIONALLICENCE 773 0- Psychometrika Springer US; http://www.springer-ny.com 80/1(2015-03-01), 44-64 0033-3123 80:1<44 2015 80 11336