tsdlvm1_family: Lag-1 dynamic latent variable model family of psychonetrics...

tsdlvm1R Documentation

Lag-1 dynamic latent variable model family of psychonetrics models for time-series data

Description

This is the family of models that models a dynamic factor model on time-series. There are two covariance structures that can be modeled in different ways: contemporaneous for the contemporaneous model and residual for the residual model. These can be set to "cov" for covariances, "prec" for a precision matrix, "ggm" for a Gaussian graphical model and "chol" for a Cholesky decomposition. The ts_lvgvar wrapper function sets contemporaneous = "ggm" for the graphical VAR model.

Usage

tsdlvm1(data, lambda, contemporaneous = c("cov", "chol",
                    "prec", "ggm"), residual = c("cov", "chol", "prec",
                    "ggm"), beta = "full", omega_zeta = "full", delta_zeta
                    = "full", kappa_zeta = "full", sigma_zeta = "full",
                    lowertri_zeta = "full", omega_epsilon = "empty",
                    delta_epsilon = "empty", kappa_epsilon = "empty",
                    sigma_epsilon = "empty", lowertri_epsilon = "empty",
                    nu, mu_eta, identify = TRUE, identification =
                    c("loadings", "variance"), latents, beepvar, dayvar,
                    idvar, vars, groups, covs, means, nobs, missing =
                    "listwise", equal = "none", baseline_saturated = TRUE,
                    estimator = "ML", optimizer, storedata = FALSE,
                    sampleStats, covtype = c("choose", "ML", "UB"),
                    centerWithin = FALSE, standardize = c("none", "z",
                    "quantile"), verbose = FALSE)

ts_lvgvar(...)

Arguments

data

A data frame encoding the data used in the analysis. Can be missing if covs and nobs are supplied.

lambda

A model matrix encoding the factor loading structure. Each row indicates an indicator and each column a latent. A 0 encodes a fixed to zero element, a 1 encoding a free to estimate element, and higher integers encoding equality constrains. For multiple groups, this argument can be a list or array with each element/slice encoding such a matrix.

contemporaneous

The type of contemporaneous model used. See description.

residual

The type of residual model used. See description.

beta

A model matrix encoding the temporal relationships (transpose of temporal network) between latent variables. A 0 encodes a fixed to zero element, a 1 encoding a free to estimate element, and higher integers encoding equality constrains. For multiple groups, this argument can be a list or array with each element/slice encoding such a matrix. Can also be "full" for a full temporal network or "empty" for an empty temporal network.

omega_zeta

Only used when contemporaneous = "ggm". Either "full" to estimate every element freely, "empty" to set all elements to zero, or a matrix of the dimensions node x node with 0 encoding a fixed to zero element, 1 encoding a free to estimate element, and higher integers encoding equality constrains. For multiple groups, this argument can be a list or array with each element/slice encoding such a matrix.

delta_zeta

Only used when contemporaneous = "ggm". Either "full" to estimate every element freely, "empty" to set all elements to zero, or a matrix of the dimensions node x node with 0 encoding a fixed to zero element, 1 encoding a free to estimate element, and higher integers encoding equality constrains. For multiple groups, this argument can be a list or array with each element/slice encoding such a matrix.

kappa_zeta

Only used when contemporaneous = "prec". Either "full" to estimate every element freely, "empty" to only include diagonal elements, or a matrix of the dimensions node x node with 0 encoding a fixed to zero element, 1 encoding a free to estimate element, and higher integers encoding equality constrains. For multiple groups, this argument can be a list or array with each element/slice encoding such a matrix.

sigma_zeta

Only used when contemporaneous = "cov". Either "full" to estimate every element freely, "empty" to only include diagonal elements, or a matrix of the dimensions node x node with 0 encoding a fixed to zero element, 1 encoding a free to estimate element, and higher integers encoding equality constrains. For multiple groups, this argument can be a list or array with each element/slice encoding such a matrix.

lowertri_zeta

Only used when contemporaneous = "chol". Either "full" to estimate every element freely, "empty" to only include diagonal elements, or a matrix of the dimensions node x node with 0 encoding a fixed to zero element, 1 encoding a free to estimate element, and higher integers encoding equality constrains. For multiple groups, this argument can be a list or array with each element/slice encoding such a matrix.

omega_epsilon

Only used when residual = "ggm". Either "full" to estimate every element freely, "empty" to set all elements to zero, or a matrix of the dimensions node x node with 0 encoding a fixed to zero element, 1 encoding a free to estimate element, and higher integers encoding equality constrains. For multiple groups, this argument can be a list or array with each element/slice encoding such a matrix.

delta_epsilon

Only used when residual = "ggm". Either "full" to estimate every element freely, "empty" to set all elements to zero, or a matrix of the dimensions node x node with 0 encoding a fixed to zero element, 1 encoding a free to estimate element, and higher integers encoding equality constrains. For multiple groups, this argument can be a list or array with each element/slice encoding such a matrix.

kappa_epsilon

Only used when residual = "prec". Either "full" to estimate every element freely, "empty" to only include diagonal elements, or a matrix of the dimensions node x node with 0 encoding a fixed to zero element, 1 encoding a free to estimate element, and higher integers encoding equality constrains. For multiple groups, this argument can be a list or array with each element/slice encoding such a matrix.

sigma_epsilon

Only used when residual = "cov". Either "full" to estimate every element freely, "empty" to only include diagonal elements, or a matrix of the dimensions node x node with 0 encoding a fixed to zero element, 1 encoding a free to estimate element, and higher integers encoding equality constrains. For multiple groups, this argument can be a list or array with each element/slice encoding such a matrix.

lowertri_epsilon

Only used when residual = "chol". Either "full" to estimate every element freely, "empty" to only include diagonal elements, or a matrix of the dimensions node x node with 0 encoding a fixed to zero element, 1 encoding a free to estimate element, and higher integers encoding equality constrains. For multiple groups, this argument can be a list or array with each element/slice encoding such a matrix.

nu

Optional vector encoding the intercepts of the observed variables. Set elements to 0 to indicate fixed to zero constrains, 1 to indicate free intercepts, and higher integers to indicate equality constrains. For multiple groups, this argument can be a list or array with each element/column encoding such a vector.

mu_eta

Optional vector encoding the means of the latent variables. Set elements to 0 to indicate fixed to zero constrains, 1 to indicate free intercepts, and higher integers to indicate equality constrains. For multiple groups, this argument can be a list or array with each element/column encoding such a vector.

identify

Logical, should the model be automatically identified?

identification

Type of identification used. "loadings" to fix the first factor loadings to 1, and "variance" to fix the diagonal of the latent variable model matrix (sigma_zeta, lowertri_zeta, delta_zeta or kappa_zeta) to 1.

latents

An optional character vector with names of the latent variables.

beepvar

Optional string indicating assessment beep per day. Adding this argument will cause non-consecutive beeps to be treated as missing!

dayvar

Optional string indicating assessment day. Adding this argument makes sure that the first measurement of a day is not regressed on the last measurement of the previous day. IMPORTANT: only add this if the data has multiple observations per day.

idvar

Optional string indicating the subject ID

vars

An optional character vector encoding the variables used in the analyis. Must equal names of the dataset in data.

groups

An optional string indicating the name of the group variable in data.

covs

A sample variance–covariance matrix, or a list/array of such matrices for multiple groups. Make sure covtype argument is set correctly to the type of covariances used.

means

A vector of sample means, or a list/matrix containing such vectors for multiple groups.

nobs

The number of observations used in covs and means, or a vector of such numbers of observations for multiple groups.

missing

How should missingness be handled in computing the sample covariances and number of observations when data is used. Can be "listwise" for listwise deletion, or "pairwise" for pairwise deletion.

equal

A character vector indicating which matrices should be constrained equal across groups.

baseline_saturated

A logical indicating if the baseline and saturated model should be included. Mostly used internally and NOT Recommended to be used manually.

estimator

The estimator to be used. Currently implemented are "ML" for maximum likelihood estimation, "FIML" for full-information maximum likelihood estimation, "ULS" for unweighted least squares estimation, "WLS" for weighted least squares estimation, and "DWLS" for diagonally weighted least squares estimation.

optimizer

The optimizer to be used. Can be one of "nlminb" (the default R nlminb function), "ucminf" (from the optimr package), and C++ based optimizers "cpp_L-BFGS-B", "cpp_BFGS", "cpp_CG", "cpp_SANN", and "cpp_Nelder-Mead". The C++ optimizers are faster but slightly less stable. Defaults to "nlminb".

storedata

Logical, should the raw data be stored? Needed for bootstrapping (see bootstrap).

standardize

Which standardization method should be used? "none" (default) for no standardization, "z" for z-scores, and "quantile" for a non-parametric transformation to the quantiles of the marginal standard normal distribution.

sampleStats

An optional sample statistics object. Mostly used internally.

centerWithin

Logical, should data be within-person centered?

covtype

If 'covs' is used, this is the type of covariance (maximum likelihood or unbiased) the input covariance matrix represents. Set to "ML" for maximum likelihood estimates (denominator n) and "UB" to unbiased estimates (denominator n-1). The default will try to find the type used, by investigating which is most likely to result from integer valued datasets.

verbose

Logical, should messages be printed?

...

Arguments sent to tsdlvm1

Value

An object of the class psychonetrics (psychonetrics-class)

Author(s)

Sacha Epskamp

Examples


# Note: this example is wrapped in a dontrun environment because the data is not 
# available locally.
## Not run: 
# Obtain the data from:
#
# Epskamp, S., van Borkulo, C. D., van der Veen, D. C., Servaas, M. N., Isvoranu, A. M., 
# Riese, H., & Cramer, A. O. (2018). Personalized network modeling in psychopathology: 
# The importance of contemporaneous and temporal connections. Clinical Psychological 
# Science, 6(3), 416-427.
# 
# Available here: https://osf.io/c8wjz/
tsdata <- read.csv("Supplementary2_data.csv")

# Encode time variable in a way R understands:
tsdata$time <- as.POSIXct(tsdata$time, tz = "Europe/Amsterdam")

# Extract days:
tsdata$Day <- as.Date(tsdata$time, tz = "Europe/Amsterdam")

# Variables to use:
vars <- c("relaxed", "sad", "nervous", "concentration", "tired", "rumination", 
          "bodily.discomfort")

# Create lambda matrix (in this case: one factor):
Lambda <- matrix(1,7,1)

# Estimate dynamical factor model:
model <- tsdlvm1(
  tsdata, 
  lambda = Lambda,
  vars = vars, 
  dayvar = "Day",
  estimator = "FIML"
)

# Run model:
model <- model %>% runmodel

# Look at fit:
model %>% print
model %>% fit # Pretty bad fit

## End(Not run)

psychonetrics documentation built on Oct. 3, 2023, 5:09 p.m.