This function calculated the DETECT and polyDETECT index (Stout, Habing, Douglas
& Kim, 1996; Zhang & Stout, 1999a; Zhang, 2007). At first,
conditional covariances have to be estimated
using the ccov.np function.
detect.index(ccovtable, itemcluster)A value of ccov.np.
Item cluster for each item. The order of entries must correspond
to the columns in data (submitted to ccov.np).
Stout, W., Habing, B., Douglas, J., & Kim, H. R. (1996). Conditional covariance-based nonparametric multidimensionality assessment. Applied Psychological Measurement, 20, 331-354.
Zhang, J., & Stout, W. (1999a). Conditional covariance structure of generalized compensatory multidimensional items. Psychometrika, 64, 129-152.
Zhang, J., & Stout, W. (1999b). The theoretical DETECT index of dimensionality and its application to approximate simple structure. Psychometrika, 64, 213-249.
Zhang, J. (2007). Conditional covariance theory and DETECT for polytomous items. Psychometrika, 72, 69-91.
For examples see conf.detect.