Evaluation of Scale Reliability With Binary Measures Using Latent Variable Modeling

A method for interval estimation of scale reliability with discrete data is outlined. The approach is applicable with multi-item instruments consisting of binary measures, and is developed within the latent variable modeling methodology. The procedure is useful for evaluation of consistency of single measures and of sum scores from item sets following the 2-parameter logistic model or the 1-parameter logistic model. An extension of the method is described for construction confidence intervals of change in reliabiltiy due to instrument revision. The proposed procedure is illustrated with an example.