TY - JOUR
T1 - Comparing simulated and theoretical sampling distributions of the U3 person-fit statistic
AU - Emons, Wilco H.M.
AU - Meijer, Rob R.
AU - Sijtsma, Klaas
PY - 2002
Y1 - 2002
N2 - The accuracy with which the theoretical sampling distribution of van der Flier’s person-fit statistic U3 approaches the empirical U3 sampling distribution is affected by the item discrimination. A simulation study showed that for tests with a moderate or a strong mean item discrimination, the Type I error rates were either too high or too low to be used in practice. It was concluded that the use of standard normal deviates for the standardized version of the U3 statistic may be problematic. Nevertheless, the U3 statistic is suitable for evaluating the relative likelihood of item score patterns, for example, if one wishes to select a fixed percentage of the most improbable patterns.
AB - The accuracy with which the theoretical sampling distribution of van der Flier’s person-fit statistic U3 approaches the empirical U3 sampling distribution is affected by the item discrimination. A simulation study showed that for tests with a moderate or a strong mean item discrimination, the Type I error rates were either too high or too low to be used in practice. It was concluded that the use of standard normal deviates for the standardized version of the U3 statistic may be problematic. Nevertheless, the U3 statistic is suitable for evaluating the relative likelihood of item score patterns, for example, if one wishes to select a fixed percentage of the most improbable patterns.
U2 - 10.1177/0146621602026001006
DO - 10.1177/0146621602026001006
M3 - Article
SN - 0146-6216
VL - 26
SP - 88
EP - 108
JO - Applied psychological measurement
JF - Applied psychological measurement
IS - 1
ER -