residuals.matrixpls: Residual diagnostics for matrixpls results

Description

The matrixpls method for generic function residuals computes the residual covariance matrix and various fit indices.

Usage

## S3 method for class 'matrixpls':
residuals(object, ..., observed = TRUE)

Arguments

object

matrixpls estimation result object produced by the matrixpls function.

...

All other arguments are ignored.

observed

If TRUE (default) the observed residuals from the outer model regressions (indicators regressed on composites) are returned. If FALSE, the residuals are calculated by combining inner, reflective, and

Value

A list with three elements: inner, outer, and indices elements containing the residual covariance matrix of regressions of composites on other composites, the residual covariance matrix of indicators on composites, and various indices calculated based on the residuals.

Details

The residuals can be either observed empirical residuals as presented by Lohmöller (1989, ch 2.4) or model implied residuals as used by Henseler et al. (2014). Two versions of the SRMR index are provided, the traditional SRMR that includes all residual covariances, and the version proposed by Henseler et al. (2014) where the within-block residual covariances are ignored.

References

Lohmöller J.-B. (1989) Latent variable path modeling with partial least squares. Heidelberg: Physica-Verlag.

Henseler, J., Dijkstra, T. K., Sarstedt, M., Ringle, C. M., Diamantopoulos, A., Straub, D. W., … Calantone, R. J. (2014). Common Beliefs and Reality About PLS Comments on Rönkkö and Evermann (2013). Organizational Research Methods, 17(2), 182–209. doi:10.1177/1094428114526928