Computes Zij-values of item pairs, Zi-values of items, and Z-value of the entire scale,
which are used to test whether Hij, Hi, and H, respectively, are significantly
greater than zero (Molenaar and Sijtsma, 2000, pp. 59-62; Sijtsma and Molenaar, p. 40; Van der Ark, 2007; 2010).
Used in the function aisp
Usage
coefZ(X)
Arguments
X
matrix or data frame of numeric data
containing the responses of nrow(X) respondents to ncol(X) items.
Missing values are not allowed
Value
Zijmatrix containing the z-values of the item-pairs
Zivector containing z-values of the items
Zreal z-value of the entire scale
References
Molenaar, I.W. and Sijtsma, K. (2000)
User's Manual MSP5 for Windows [Software manual].
Groningen, The Netherlands: IEC ProGAMMA.
Sijtsma, K, and Molenaar, I. W. (2002)
Introduction to nonparametric item response theory.
Thousand Oaks, CA: Sage.
Van der Ark, L. A. (2007).
Mokken scale analysis in R.
Journal of Statistical Software.
http://www.jstatsoft.org/v20/i11
Van der Ark, L. A. (2010).
Getting started with Mokken scale analysis in R.
Unpublished manuscript.
http://cran.r-project.org/web/packages/mokken/vignettes/mokken.pdf