Researchers studying item response models are often interested in examining
the effects of local dependency on the validity of the resulting conclusio
n from statistical inference. This paper focuses on the detection of local
dependency. We provide a framework for viewing local dependency within dich
otomous and polytomous items that are clustered by design, and present a te
sting procedure that allows researchers to specifically identify individual
item pairs that exhibit local dependency, while controlling for false posi
tive rate. Simulation results from the study indicate that the proposed met
hod is effective. In addition, a discussion of its relation to other existi
ng methods is provided.