LMest (version 2.4.5)

est_lm_cov_latent_cont: Estimate LM model for continuous outcomes with covariates in the latent model

Description

Main function for estimating the LM model for continuous outcomes with covariates in the latent model.

Usage

est_lm_cov_latent_cont(Y, X1 = NULL, X2 = NULL, yv = rep(1,nrow(Y)), k, start = 0,
                 tol = 10^-8, maxit = 1000, param = "multilogit", Mu = NULL, Si = NULL,
                 Be = NULL, Ga = NULL, output = FALSE)

Arguments

Y

array of continuous outcomes (n x TT x r) - with missing responses, data are imputed using mix package

X1

matrix of covariates affecting the initial probabilities (n x nc1)

X2

array of covariates affecting the transition probabilities (n x TT-1 x nc2)

yv

vector of frequencies of the available configurations

k

number of latent states

start

type of starting values (0 = deterministic, 1 = random, 2 = initial values in input)

tol

tolerance level for checking convergence of the algorithm

maxit

maximum number of iterations of the algorithm

param

type of parametrization for the transition probabilities ("multilogit" = standard multinomial logit for every row of the transition matrix, "difflogit" = multinomial logit based on the difference between two sets of parameters)

Mu

initial value of the conditional means (r x k) (if start=2)

Si

initial value of the var-cov matrix common to all states (r x r) (if start=2)

Be

intial value of the parameters affecting the logit for the initial probabilities (if start=2)

Ga

intial value of the parametes affecting the logit for the transition probabilities (if start=2)

output

to return additional output (V,PI,Piv,Ul)

Value

lk

maximum log-likelihood

Be

estimated array of the parameters affecting the logit for the initial probabilities

Ga

estimated array of the parameters affecting the logit for the transition probabilities

Mu

estimate of conditional means of the response variables

Si

estimate of var-cov matrix common to all states

np

number of free parameters

aic

value of AIC for model selection

bic

value of BIC for model selection

lkv

log-likelihood trace at every step

Piv

estimate of initial probability matrix

PI

estimate of transition probability matrices

Ul

matrix containing the predicted sequence of latent states by the local decoding method

Y

optional completed array with imputed (with missing responses)

call

command used to call the function

References

Bartolucci, F., Farcomeni, A. and Pennoni, F. (2013), Latent Markov Models for Longitudinal Data, Chapman and Hall/CRC press.

Examples

# NOT RUN {
# Example based on multivariate longitudinal continuous data 
# load data
require(mmm)
data(multiLongGaussian)
TT=4
res = long2matrices(multiLongGaussian$ID,X=cbind(multiLongGaussian$X,multiLongGaussian$time),
      Y=cbind(multiLongGaussian$resp1, multiLongGaussian$resp2))
Y = res$YY
X1 =res$XX[,1,]
X2 =res$XX[,2:TT,]

# estimate the model
est = est_lm_cov_latent_cont(Y,X1,X2,k=3,output=TRUE)
summary(est)

# average transition probability matrix
PI = round(apply(est$PI[,,,2:TT],c(1,2),mean),4); PI
# }