Calculate composite weights using generalized structure component analysis (GSCA). The first version of this approach was presented in Hwang2004;textualcSEM. Since then, several advancements have been proposed. The latest version of GSCA can been found in Hwang2014;textualcSEM. This is the version cSEMs implementation is based on.

calculateWeightsGSCA(
  .X                           = args_default()$.X,
  .S                           = args_default()$.S,
  .csem_model                  = args_default()$.csem_model,
  .conv_criterion              = args_default()$.conv_criterion,
  .iter_max                    = args_default()$.iter_max,
  .starting_values             = args_default()$.starting_values,
  .tolerance                   = args_default()$.tolerance
   )

Arguments

.X

A matrix of processed data (scaled, cleaned and ordered).

.S

The (K x K) empirical indicator correlation matrix.

.csem_model

A (possibly incomplete) cSEMModel-list.

.conv_criterion

Character string. The criterion to use for the convergence check. One of: "diff_absolute", "diff_squared", or "diff_relative". Defaults to "diff_absolute".

.iter_max

Integer. The maximum number of iterations allowed. If iter_max = 1 and .approach_weights = "PLS-PM" one-step weights are returned. If the algorithm exceeds the specified number, weights of iteration step .iter_max - 1 will be returned with a warning. Defaults to 100.

.starting_values

A named list of vectors where the list names are the construct names whose indicator weights the user wishes to set. The vectors must be named vectors of "indicator_name" = value pairs, where value is the (scaled or unscaled) starting weight. Defaults to NULL.

.tolerance

Double. The tolerance criterion for convergence. Defaults to 1e-05.

Value

A named list. J stands for the number of constructs and K for the number of indicators.

$W

A (J x K) matrix of estimated weights.

$E

NULL

$Modes

A named vector of Modes used for the outer estimation, for GSCA the mode is automatically set to "gsca".

$Conv_status

The convergence status. TRUE if the algorithm has converged and FALSE otherwise.

$Iterations

The number of iterations required.

References