Open AccessAN ALTERNATIVE THREE‐PARAMETER LOGISTIC ITEM RESPONSE MODEL
Author(s) -
Pashley Peter J.
Publication year - 1991
Publication title -
ets research report series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.235
H-Index - 5
ISSN - 2330-8516
DOI - 10.1002/j.2333-8504.1991.tb01376.x
Subject(s) - asymptote , logistic regression , hyperbola , logistic distribution , logit , logistic function , mathematics , function (biology) , statistics , basis (linear algebra) , multinomial logistic regression , econometrics , transformation (genetics) , mathematical analysis , chemistry , evolutionary biology , biochemistry , geometry , gene , biology
Birnbaum's three‐parameter logistic function has become a common basis for item response theory modeling, especially within situations where significant guessing behavior is evident. This model is formed through a linear transformation of the two‐parameter logistic function in order to facilitate a lower asymptote. This paper discusses an alternative three‐parameter logistic model in which the asymptote parameter is a linear component within the logit of the function. This alternative is derived from a more general four‐parameter model based on a transformed hyperbola.