Open AccessCONJUNCTIVE AND DISJUNCTIVE ITEM RESPONSE FUNCTIONS
Author(s) -
Lord Frederic M.
Publication year - 1984
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.2330-8516.1984.tb00085.x
Subject(s) - item response theory , function (biology) , equating , differential item functioning , disjunctive normal form , mathematics , conjunctive normal form , item analysis , statistics , discrete mathematics , psychometrics , rasch model , evolutionary biology , biology
Given that the examinee knows the answer to item i if and only if he knows the answer to both item g and item h, a ‘conjunctive’ item response model is required such that items g, h, and i all have the same mathematical form of response function. Since such items may occur in practice, it is desirable that item response models satisfy this condition. For models with two parameters per item, the most general functional form satisfying this condition is found. A third, ‘guessing’ parameter may be added. The corresponding disjunctive model is also derived.