summary-MxModel {OpenMx} | R Documentation |

This function returns summary statistics of a model after it has been run

summary(object, ...)

`object` |
A MxModel object. |

`...` |
Any number of named arguments (see below). |

mxSummary allows the user to set or override the following parameters of the model:

- numObs
Numeric. Specify the total number of observations for the model.

- numStats
Numeric. Specify the total number of observed statistics for the model.

- refModels
List of MxModel objects. Specify a saturated and independence likelihoods in single argument for testing.

- SaturatedLikelihood
Numeric or MxModel object. Specify a saturated likelihood for testing.

- SaturatedDoF
Numeric. Specify the degrees of freedom of the saturated likelihood for testing.

- IndependenceLikelihood
Numeric or MxModel object. Specify an independence likelihood for testing.

- IndependenceDoF
Numeric. Specify the degrees of freedom of the independence likelihood for testing.

- indep
Logical. Set to FALSE to ignore independent submodels in summary.

- verbose
logical. Changes the printing style for summary (see Details)

The `verbose`

argument changes the printing style for the `summary`

of a model. When `verbose=FALSE`

, a relatively minimal amount of information is printed: the free parameters, the likelihood, and a few fit indices. When more information is available, more is printed. For example, when the model has a saturated likelihood, several additional fit indices are printed. On the other hand, when `verbose=TRUE`

, the compute plan, the data summary, and additional timing information are always printed. Moreover, available fit indices are printed regarless of whether or not they are defined. The undefined fit indices are printed as `NA`

. Running a saturated model and including it with the call to `summary`

will define these fit indices and they will dislay meaningful values. It should be noted that the `verbose`

argument only changes the printing style, all of the same information is calculated and exists in the output of `summary`

. More information is displayed when `verbose=TRUE`

, and less when `verbose=FALSE`

.

The `Information Criteria`

(AIC, BIC) are reported in a table. The table shows different versions of the information criteria. Each entry in the table is an AIC or BIC obtained using different penalties. In particular, the entries of the table do not show different penalties, but rather different versions of AIC and BIC. For example the AIC is reported with both a Parameters Penalty and a Degrees of Freedom Penalty. AIC generally takes the form *-2LL + 2*k*. With the Parameters Penalty *k* is the number of free parameters. With the Degrees of Freedom Penalty, *k* is the model degrees of freedom. BIC is defined similarly: *-2LL + k*log(N)* where *k* is either the number of free parameters or the degrees of freedom. The Sample-Size Adjusted BIC is only defined for the parameters penalty: *-2LL + k*log((N+2)/24)*.

The `refModels`

, `SaturatedLikelihood`

, `SaturatedDoF`

, `IndependenceLikelihood`

, and `IndependenceDoF`

arguments can be used to obtain further fit statistics (RMSEA, CFI, TLI, Chi-Squared). For covariance data, saturated and independence models are fitted automatically so all fit indices are reported. For raw data, these reference models are not estimated to save computational time. For an easy way to make reference models for most cases is provided by the mxRefModels function. When the `SaturatedLikelihood`

or `IndependenceLikelihood`

arguments are used, the appropriate degrees of freedom are attempted to be calculated by OpenMx. However, depending on the model, it may sometimes behoove the user to also explicity provide the corresponding `SaturatedDoF`

and/or `IndependenceDoF`

. Again, for the vast majority of cases, the mxRefModels function handles these situations effectively and convenietly.

The summary function can report Error codes as follows:

1: The final iterate satisfies the optimality conditions to the accuracy requested, but the sequence of iterates has not yet converged. NPSOL was terminated because no further improvement could be made in the merit function (Mx status GREEN)

2: The linear constraints and bounds could not be satisfied. The problem has no feasible solution.

3: The nonlinear constraints and bounds could not be satisfied. The problem may have no feasible solution.

4: The major iteration limit was reached (Mx status BLUE).

6: The model does not satisfy the first-order optimality conditions to the required accuracy, and no improved point for the merit function could be found during the final linesearch (Mx status RED)

7: The function derivates returned by funcon or funobj appear to be incorrect.

9: An input parameter was invalid

The OpenMx User's guide can be found at http://openmx.psyc.virginia.edu/documentation.

library(OpenMx) data(demoOneFactor) # load the demoOneFactor dataframe manifests <- names(demoOneFactor) # set the manifest to the 5 demo variables latents <- c("G") # define 1 latent variable model <- mxModel(model="One Factor", type="RAM", manifestVars = manifests, latentVars = latents, mxPath(from = latents, to=manifests, labels = paste("b", 1:5, sep = "")), mxPath(from = manifests, arrows = 2, labels = paste("u", 1:5, sep = "")), mxPath(from = latents, arrows = 2, free = FALSE, values = 1.0), mxData(cov(demoOneFactor), type = "cov", numObs = 500) ) model <- mxRun(model) # Run the model, returning the result into model # Show summary of the fitted model summary(model) # Compute the summary and store in the variable "statistics" statistics <- summary(model) # Access components of the summary statistics$parameters statistics$SaturatedLikelihood # Specify a saturated likelihood for testing summary(model, SaturatedLikelihood = -3000) # Add a CI and view it in the summary model = mxRun(mxModel(model=model, mxCI("b5")), intervals = TRUE) summary(model)

[Package *OpenMx* version 2.1.0 Index]