ECV_SS {BifactorIndicesCalculator}

ECV_SS

Description

Computes an ECV index for all factors which can be interpreted as the proportion of common variance of the items in each factor which is due to that factor; ECV_SS should be read 'ECV of a specific factor with respect to itself.' Here, ECV is computed only with respect to items which load on the factor. Note that ECV_SS of the general factor is simply the ECV. Stucky and Edelen (2015, p. 201) do not refer to this form of ECV. In the Excel version of the bifactor indices calculator (Dueber, 2017), this index is referred to as 'ECV (NEW).' ECV_SS is useful in that it can be computed when there is no general factor, such as in a two-tier model, and interpreted in the same way as ECV for general factors.

Usage

ECV_SS(Lambda)

Arguments

Lambda

is a matrix of factor loadings. Be sure that all factors have the same variance before calling this function.

Details

ECV_SS is called by bifactorIndices and the various convenience functions for exploratory models and/or Mplus output, which are the only functions in this package intended for casual users.“

Value

A vector of ECVs for all factors

References

Dueber, D. M. (2017). Bifactor Indices Calculator: A Microsoft Excel-based tool to calculate various indices relevant to bifactor CFA models. doi: 10.13023/edp.tool.01

Stucky, B. D., & Edelen, M. O. (2015). Using hierarchical IRT models to create unidimensional measures from multidimensional data. In S. P. Reise & D. A. Revicki (Eds.), Handbook of item response theory modeling: Applications to typical performance assessment (pp.183-206). New York: Routledge.

See Also

ECV_SG, ECV_GS, bifactorIndices

Examples

Lambda <- matrix(c(.82, .10,   0,   0,
                   .77, .35,   0,   0,
                   .79, .32,   0,   0,
                   .66, .39,   0,   0,
                   .51,   0, .71,   0,
                   .56,   0, .43,   0,
                   .68,   0, .13,   0,
                   .60,   0, .50,   0,
                   .83,   0,   0, .47,
                   .60,   0,   0, .27,
                   .78,   0,   0, .28,
                   .55,   0,   0, .75),
                   ncol = 4, byrow = TRUE)
colnames(Lambda) <- c("General", "SF1", "SF2", "SF3")
ECV_SS(Lambda)