mokken (version 2.4)

check.reliability: Compaction of reliability statistics

Description

Returns a list of three reliability statistics: Molenaar Sijtsma (1984, 1988) statistic (a.k.a rho), Cronbach's (1951) alpha, and Guttman's (1945) lambda 2.

Usage

check.reliability(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

• MS
  Molenaar Sijtsma statistic (a.k.a. rho).
• alpha
  Cronbach's alpha
• lambda.2
  Lambda 2

References

Cronbach, L. (1951). Coefficient alpha and the internal structure of tests. Psychometrika, 16, 297-334. Guttman, L. (1945). A basis for analyzing test-retest reliability. Psychometrika, 10,255-282. Molenaar, I. W. and K. Sijtsma (1984). Internal consistency and reliability in Mokken's nonparametric item response model. Tijdschrift voor onderwijsresearch, 9, 257--268. Molenaar, I. W. and K. Sijtsma (1988). Mokken's approach to reliability estimation extended to multicategory items. Kwantitatieve methoden, 9(28), 115-126. Sijtsma, K. and I. W. Molenaar (1987). Reliability of test scores in nonparametric item response theory. Psychometrika, 52,79-97. Van der Ark, L. A. (2007). Mokken scale analysis in R. Journal of Statistical Software. http://www.jstatsoft.org Van der Ark, L. A. (2010). Computation of the Molenaar Sijtsma statistic. In A. Fink, B. Lausen, W. Seidel, & A. Ultsch (Eds.), Advances in data analysis, data handling and business intelligence (pp. 775-784). Berlin: Springer.

See Also

coefH, check.iio, check.monotonicity, check.pmatrix, check.restscore

Examples

data(acl)
Communality <- acl[,1:10]
check.reliability(Communality)