Verify admissibility

Verify admissibility of the results obtained using csem().


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


Results exhibiting one of the following defects are deemed inadmissible: non-convergence of the algorithm used to obtain weights, loadings and/or (congeneric) reliabilities larger than 1, a construct variance-covariance (VCV) and/or model-implied VCV matrix that is not positive semi-definite.

If .object is of class cSEMResults_2ndorder (i.e., estimates are based on a model containing second-order constructs) both the first and the second stage are checked separately.

Currently, a model-implied indicator VCV matrix for nonlinear model is not available. verify() therefore skips the check for positive definitness of the model-implied indicator VCV matrix for nonlinear models and returns "ok".


A logical vector indicating which (if any) problem occurred. A FALSE indicates that the specific problem has not occured. For models containg second-order constructs estimated by a two stage approach, a list of two such vectors (one for the first and one for the second stage) is returned. Status codes are:

  • 1: The algorithm has converged.

  • 2: All absolute standardized loading estimates are smaller than or equal to 1. A violation implies either a negative variance of the measurement error or

  • 3: The construct VCV is positive semi-definite.

  • 4: All reliability estimates are smaller than or equal to 1.

  • 5: The model-implied indicator VCV is positive semi-definite. This is only checked for linear models (including models containing second-order constructs).

See Also

csem(), summarize(), cSEMResults

  • verify
### Without higher order constructs --------------------------------------------
model <- "
# Structural model
eta2 ~ eta1
eta3 ~ eta1 + eta2

# (Reflective) measurement model
eta1 =~ y11 + y12 + y13
eta2 =~ y21 + y22 + y23
eta3 =~ y31 + y32 + y33
# Estimate
out <- csem(threecommonfactors, model)
# Check admissibility
verify(out) # ok!

## Examine the structure of a cSEMVerify object

### With higher order constructs -----------------------------------------------
# If the model containes higher order constructs both the first and the second-
# stage estimates estimates are checked for admissibility

# }
require(cSEM.DGP) # download from
# Create DGP with 2nd order construct. Loading for indicator y51 is set to 1.1
# to produce a failing first stage model
dgp_2ndorder <- "
## Path model / Regressions
eta2 ~ 0.5*eta1
eta3 ~ 0.35*eta1 + 0.4*eta2

## Composite model
eta1 =~ 0.8*y41 + 0.6*y42 + 0.6*y43
eta2 =~ 1.1*y51 + 0.7*y52 + 0.7*y53
c1   =~ 0.8*y11 + 0.4*y12
c2   =~ 0.5*y21 + 0.3*y22

## Higher order composite
eta3 =~ 0.4*c1 + 0.4*c2
dat <- generateData(dgp_2ndorder) # requires the cSEM.DGP package
out <- csem(dat, .model = dgp_2ndorder)

verify(out) # not ok
# }
Documentation reproduced from package cSEM, version 0.1.0, License: GPL-3

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