Premium
INFORMATION CURVES AND EFFICIENCY OF THREE LOGISTIC TEST MODELS
Author(s) -
Hambleton Ronald K.,
Traub Ross E.
Publication year - 1971
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1971.tb00472.x
Subject(s) - statistics , test (biology) , mathematics , logistic regression , item response theory , estimation theory , econometrics , computer science , psychometrics , paleontology , biology
Our purpose was to determine the efficiency of the estimates of ability provided by the one‐parameter logistic model as compared to the estimates provided by the more general two‐ and three‐parameter models. Several tests were simulated with item parameters meeting the assumptions of either the two‐ or three‐parameter model. For each test, the information provided by ability estimates appropriate to the one‐, two‐ and three‐parameter models was compared at several ability levels. The results indicate that it is particularly important, when guessing affects test scores, to use the scoring system of the three‐parameter model for estimating the ability of low‐ability examinees.