The lavInspect() and lavTech() functions only differ in the way
they return the results. The lavInspect() function will prettify the
output by default, while the lavTech() will not attempt to prettify the
output by default. The (older) inspect() function is a simplified
version of lavInspect() with only the first two arguments.Below is a list of possible values for the what argument, organized
in several sections:
Model matrices:
"free":- A list of model matrices. The non-zero integers
represent the free parameters. The numbers themselves correspond
to the position of the free parameter in the parameter vector.
This determines the order of the model parameters in the output
of for example
coef() and vcov().
"partable":A list of model matrices. The non-zero integers
represent both the fixed parameters (for example, factor loadings
fixed at 1.0), and the free parameters if we ignore any equality
constraints. They correspond with all entries (fixed or free)
in the parameter table. See parTable.
"se":A list of model matrices. The non-zero numbers
represent the standard errors for the free parameters in the model.
If two parameters are constrained to be equal, they will have the
same standard error for both parameters.
Aliases: "std.err" and "standard.errors".
"start":A list of model matrices. The values represent
the starting values for all model parameters.
Alias: "starting.values".
"est":A list of model matrices. The values represent
the estimated model parameters. Aliases:
"estimates", "coef", "coefficients" and
"x".
"dx.free":A list of model matrices. The values represent
the gradient (first derivative) values of the model parameters.
If two parameters are constrained to be equal, they will have the
same gradient value.
"dx.all":A list of model matrices. The values represent
the first derivative with respect to all possible matrix elements.
Currently, this is only available when the estimator is "ML"
or "GLS".
"std":A list of model matrices. The values represent
the (completely) standardized model parameters (the variances of
both the observed and the latent variables are set to unity).
Aliases: "std.all", "standardized".
"std.lv":A list of model matrices. The values represent
the standardized model parameters (only the variances of the
latent variables are set to unity.)
"std.nox":A list of model matrices. The values represent
the (completely) standardized model parameters (the variances of
both the observed and the latent variables are set to unity;
however, the variances of any observed exogenous variables are not
set to unity; hence no-x.)
Information about the data (including missing patterns):
"data":- A matrix containing the observed variables
that have been used to fit the model. No column/row names are provided.
Column names correspond to the output of
lavNames(object),
while the rows correspond to the output of
lavInspect(object, "case.idx".
"group":A character string. The group variable in
the data.frame (if any).
"ngroups":Integer. The number of groups.
"group.label":A character vector. The group labels.
"nobs":Integer vector. The number of observations
in each group that were used in the analysis.
"norig":Integer vector. The original number of observations
in each group.
"ntotal":Integer. The total number of observations that
were used in the analysis. If there is just a single group, this
is the same as the "nobs" option; if there are multiple groups,
this is the sum of the "nobs" numbers for each group.
"case.idx":The case/observation numbers that were used
in the analysis.
In the case of multiple groups: a list of numbers.
"empty.idx":The case/observation numbers of those
cases/observations that contained missing values only
(at least for the observed variables that were included in the model).
In the case of multiple groups: a list of numbers.
"patterns":A binary matrix. The rows of the matrix
are the missing data patterns where 1 and 0 denote non-missing
and missing values for the corresponding observed variables
respectively (or
TRUE and FALSE if lavTech() is used.)
If the data is complete (no missing values), there will be only
a single pattern. In the case of multiple groups: a list of
pattern matrices.
"coverage":A symmetric matrix where each element contains
the proportion of observed datapoints for the corresponding
pair of observed variables.
In the case of multiple groups: a list of coverage matrices.
Observed sample statistics:
"sampstat":- Observed sample statistics. Aliases:
"samp", "sample", "samplestatistics". In the
presence of missing values, the sample covariance matrix is computed
using use="pairwise", while listwise deletion is used for the
means (and thresholds, if any).
"sampstat.h1":If all variables are continuous, and
missing = "ml" (or "fiml"),
the EM algorithm is used to compute an
estimate of the sample covariance matrix and mean vector under
the unrestricted (H1) model. Aliases: "h1", "missing.h1".
"wls.obs":The observed sample statistics (covariance
elements, intercepts/thresholds, etc.) in a single vector.
"wls.v":The weight vector as used in weighted least
squares estimation.
"gamma":N times the asymptotic variance matrix of the
sample statistics. Alias: "sampstat.nacov".
Model features:
"meanstructure":- Logical.
TRUE if a meanstructure
was included in the model.
"categorical":Logical. TRUE if categorical endogenous
variables were part of the model.
"fixed.x":Logical. TRUE if the exogenous x-covariates
are treated as fixed.
"parameterization":Character. Either "delta" or
"theta".Model-implied sample statistics:
"cov.lv":- The model-implied variance-covariance matrix
of the latent variables. Alias:
"veta" [for V(eta)].
"cor.lv":The model-implied correlation matrix of the
latent variables.
"mean.lv":The model-implied mean vector of the latent
variables. Alias: "eeta" [for E(eta)].
"cov.ov":The model-implied variance-covariance matrix
of the observed variables.
Aliases: "sigma", "sigma.hat".
"cor.ov":The model-implied correlation matrix
of the observed variables.
"mean.ov":The model-implied mean vector of the observed
variables. Aliases: "mu", "mu.hat".
"cov.all":The model-implied variance-covariance matrix
of both the observed and latent variables.
"cor.all":The model-implied correlation matrix
of both the observed and latent variables.
"th":The model-implied thresholds.
Alias: "thresholds".
"wls.est":The model-implied sample statistics (covariance
elements, intercepts/thresholds, etc.) in a single vector.
"vy":The model-implied unconditional variances of the
observed variables.
"rsquare":The R-square value for all endogenous variables.
Aliases: "r-square", "r2".
Optimizer information:
"converged":- Logical.
TRUE if the optimizer has
converged; FALSE otherwise.
"iteratons":Integer. The number of iterations used by the
optimizer.
"optim":List. All available information regarding the
optimization results.
Gradient, Hessian, observed, expected and first.order information matrices:
"gradient":- Numeric vector containing the first derivatives
of the discrepancy function with respect to the (free) model
parameters.
"hessian":Matrix containing the second derivatives
of the discrepancy function with respect to the (free) model
parameters.
"information":Matrix containing either the observed or
the expected information matrix (depending on the information option
of the fitted model.
"information.expected":Matrix containing the expected
information matrix for the free model parameters.
"information.observed":Matrix containing the observed
information matrix for the free model parameters.
"information.first.order":Matrix containing the first.order
information matrix for the free model parameters. This is the
outer product of the gradient elements (the first derivative of
the discrepancy function with respect to the (free) model parameters).
Alias: "first.order".
"augmented.information":Matrix containing either the
observed or the expected augmented (or bordered) information
matrix (depending on the information option of the fitted model.
Only relevant if constraints have been used in the model.
"augmented.information.expected":Matrix containing the
expected augmented (or bordered) information matrix.
Only relevant if constraints have been used in the model.
"augmented.information.observed":Matrix containing the
observed augmented (or bordered) information matrix.
Only relevant if constraints have been used in the model.
"augmented.information.first.order":Matrix containing
the first.order augmented (or bordered) information matrix.
Only relevant if constraints have been used in the model.
"inverted.information":Matrix containing either the
observed or the expected inverted information matrix
(depending on the information option of the fitted model.
"inverted.information.expected":Matrix containing the
inverted expected information matrix for the free model parameters.
"inverted.information.observed":Matrix containing the
inverted observed information matrix for the free model parameters.
"inverted.information.first.order":Matrix containing the
inverted first.order information matrix for the free model parameters.
Variance covariance matrix of the model parameters:
"vcov":- Matrix containing the variance covariance matrix
of the estimated model parameters.
"vcov.std.all":Matrix containing the variance covariance
matrix of the standardized estimated model parameters. Standardization
is done with respect to both observed and latent variables.
"vcov.std.lv":Matrix containing the variance covariance
matrix of the standardized estimated model parameters. Standardization
is done with respect to the latent variables only.
"vcov.std.nox":Matrix containing the variance covariance
matrix of the standardized estimated model parameters. Standardization
is done with respect to both observed and latent variables, but
ignoring any exogenous observed covariates.
Miscellaneous:
"UGamma":- Matrix containing the product of 'U' and 'Gamma'
matrices as used by the Satorra-Bentler correction. The trace of
this matrix, divided by the degrees of freedom, gives the scaling
factor.
"list":The parameter table. The same output as given
by parTable().
"fit":The fit measures. Aliases: "fitmeasures",
"fit.measures", "fit.indices". The same output as
given by fitMeasures().
"mi":The modification indices. Alias: "modindices",
"modification.indices". The same output as given
by modindices().
"options":List. The option list.
"call":List. The call as returned by match.call, coerced to
a list.
"timing":List. The timing (in milliseconds) of various
lavaan subprocedures.
"test":List. All available information regarding the
(goodness-of-fit) test statistic(s).
"post.check":Post-fitting check if the solution is
admissible. A warning is raised if negative variances are found, or if
either lavInspect(fit, "cov.lv") or
lavInspect(fit, "theta") return a non-positive definite matrix.