UPI {powerNLSEM} | R Documentation |
Unconstrained Product Indicator approach by Marsh et al. (2004), with extensions by Kelava and Brandt (2009)
Description
Unconstrained Product Indicator approach by Marsh et al. (2004), with extensions by Kelava and Brandt (2009)
Usage
UPI(
lavModel_Analysis,
data,
data_transformations = NULL,
matchPI = TRUE,
PIcentering = "doubleMC",
liberalInspection = FALSE
)
Arguments
lavModel_Analysis |
the lavModel_Analysis object |
data |
set to fit |
data_transformations |
Data transformations |
matchPI |
Logical passed to |
PIcentering |
String indicating which method of centering should be used when constructing product indicators. String is converted to the arguments |
liberalInspection |
Logical whether the inspection of estimation truthworthiness should be very liberal (i.e., allowing for non-positive definite Hessians in standard error estimation or non-positive residual covariance matrices or latent covariance matrices). Default to |
Value
Returns a data.frame
that includes parameter estimates estimated using UPI.
References
Kelava, A., & Brandt, H. (2009). Estimation of nonlinear latent structural equation models using the extended unconstrained approach. Review of Psychology, 16(2), 123–132.
Lin, G. C., Wen, Z., Marsh, H. W., & Lin, H. S. (2010). Structural equation models of latent interactions: Clarification of orthogonalizing and double-mean-centering strategies. Structural Equation Modeling, 17(3), 374–391. doi:10.1080/10705511.2010.488999
Little, T. D., Bovaird, J. A., & Widaman, K. F. (2006). On the merits of orthogonalizing powered and product terms: Implications for modeling interactions among latent variables. Structural Equation Modeling, 13(4), 497–519. doi:10.1207/s15328007sem1304_1
Marsh, H. W., Wen, Z. & Hau, K. T. (2004). Structural equation models of latent interactions: Evaluation of alternative estimation strategies and indicator construction. Psychological Methods, 9(3), 275–300. doi:10.1037/1082-989X.9.3.275
Marsh, H. W., Wen, Z., Hau, K. T., Little, T. D., Bovaird, J. A., & Widaman, K. F. (2007). Unconstrained Structural Equation Models of Latent Interactions: Contrasting Residual- and Mean-Centered Approaches. Structural Equation Modeling: A Multidisciplinary Journal, 14(4), 570-580. doi:10.1080/10705510701303921