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Category: Dynamic Models

Dynamic factor models. Supplement materials for the paper \"Comparisons of Four Methods for Estimating a Dynamic Factor Model\" and  \"Bayesian Estimation of Categorical Dynamic Factor Models\".


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Contents
Codes for Mplus using MLE based on block-Toeplitz to estimate Dynamic factor models
Codes for DyFA using least square method to estimate Dynamic factor models
Codes for WinBUGS using Bayesian method to estimate Dynamic factor models
Codes for MKFM6 using Kalman filter method to estimate Dynamic factor models
The R function to simulate data for the direct autoregressive factor score model
The R function to simulate data for the direct autoregressive factor score model. This is a supplement for the paper "Comparisons of Four Methods for Estimating a Dynamic Factor Model".
Comparisons of Four Methods for Estimating a Dynamic Factor Model
Methods to be compared:
1. Bayesian estimation
2. MLE using the Kalman filter
3. MLE using the block-Toeplitz matrix
4. Least squares using the block-Toeplitz matrix
Bayesian Estimation of Categorical Dynamic Factor Models
Abstract
Dynamic factor models have been used to analyze continuous time series data. Motivated
by a categorical time series data set, we extend two main kinds of dynamic factor models
?C the direct autoregressive factor score (DAFS) model and the white noise factor score
(WNFS) model ?C to categorical DAFS and WNFS models in the framework of the
underlying variable method. To estimate the categorical dynamic factor models, a
Bayesian method via Gibbs sampling is used. The applications of the proposed models
are demonstrated with an empirical data set. The validities of results from the empirical
study are then evaluated by means of simulation studies. Differences between continuous
and categorical dynamic factor models are evaluated and discussed.
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