Item response theory (IRT) provides procedures for scoring
tests including any combination of rated constructed-response
and keyed multiple-choice items, in that each
response pattern is associated with some modal or expected
a posteriori estimate of trait level. However,
various considerations that frequently arise in large-scale
testing make response-pattern scoring an undesirable
solution. Methods are described based on IRT that provide
scaled scores, or estimates of trait level, for each
summed score for rated responses, or for combinations
of rated responses and multiple-choice items. These methods
may be used to combine the useful scale properties of
IR’r-based scores with the practical virtues of a scale based
on a summed score for each examinee. Index terms:
graded response model, item response theory, ordered
responses, polytomous models, scaled scores.
Thissen, David, Pommerich, Mary, Billeaud, Kathleen & Williams, Valerie S. L. (1995). Item response theory for scores on tests including polytomous items with ordered responses. Applied Psychological Measurement, 19, 39-49. doi:10.1177/014662169501900105
Thissen, David; Pommerich, Mary; Billeaud, Kathleen; Williams, Valerie S. L..
Item response theory for scores on tests including polytomous items with ordered responses.
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