reliability {cSEM}R Documentation



Compute several reliability estimates. See the Reliability section of the cSEM website for details.


  .object = NULL,
  .model_implied = TRUE,
  .only_common_factors = TRUE,
  .weighted = FALSE

  .object = NULL,
  .alpha = 0.05,
  .closed_form_ci = FALSE,
  .only_common_factors = TRUE,
  .output_type = c("vector", "data.frame"),
  .weighted = FALSE,



An R object of class cSEMResults resulting from a call to csem().


Logical. Should weights be scaled using the model-implied indicator correlation matrix? Defaults to TRUE.


Logical. Should only concepts modeled as common factors be included when calculating one of the following quality criteria: AVE, the Fornell-Larcker criterion, HTMT, and all reliability estimates. Defaults to TRUE.


Logical. Should estimation be based on a score that uses the weights of the weight approach used to obtain .object?. Defaults to FALSE.


An integer or a numeric vector of significance levels. Defaults to 0.05.


Logical. Should a closed-form confidence interval be computed? Defaults to FALSE.


Character string. The type of output. One of "vector" or "data.frame". Defaults to "vector".




Since reliability is defined with respect to a classical true score measurement model only concepts modeled as common factors are considered by default. For concepts modeled as composites reliability may be estimated by setting .only_common_factors = FALSE, however, it is unclear how to interpret reliability in this case.

Reliability is traditionally based on a test score (proxy) based on unit weights. To compute congeneric and tau-equivalent reliability based on a score that uses the weights of the weight approach used to obtain .object use .weighted = TRUE instead.

For the tau-equivalent reliability ("rho_T" or "cronbachs_alpha") a closed-form confidence interval may be computed (Trinchera et al. 2018) by setting .closed_form_ci = TRUE (default is FALSE). If .alpha is a vector several CI's are returned.


For calculateRhoC() and calculateRhoT() (if .output_type = "vector") a named numeric vector containing the reliability estimates. If .output_type = "data.frame" calculateRhoT() returns a data.frame with as many rows as there are constructs modeled as common factors in the model (unless .only_common_factors = FALSE in which case the number of rows equals the total number of constructs in the model). The first column contains the name of the construct. The second column the reliability estimate. If .closed_form_ci = TRUE the remaining columns contain lower and upper bounds for the (1 - .alpha) confidence interval(s).



Trinchera L, Marie N, Marcoulides GA (2018). “A Distribution Free Interval Estimate for Coefficient Alpha.” Structural Equation Modeling: A Multidisciplinary Journal, 25(6), 876–887. doi:10.1080/10705511.2018.1431544.

See Also

assess(), cSEMResults

[Package cSEM version 0.5.0 Index]