Classical Approach to Zero-Inflated Dynamic Panel Ordered Probit Model with an Application in Drug Abuse
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Date
2022
Authors
Kung’u, John
Odongo, Leo
Kube, Ananda
Journal Title
Journal ISSN
Volume Title
Publisher
science publishing group
Abstract
The Zero inflated ordered categorical data with time series structure are often a characteristic of behavioral
research attributed to non-participation decision and zero consumption of substance such as drugs among the participants. The
existing Semi-parametric zero inflated dynamic panel probit model with selectivity have exhibited biasness and inconsistency
in estimators as a result of poor treatment of initial condition and exclusion of selectivity in the unobserved individual effects
respectively. The model assumed that the cut points are known to address heaping in the data and therefore cannot be used
when the cut points are unknown. In this paper, a Zero inflated dynamic panel ordered probit models have been developed to
address the above challenges. Average partial effects that presents the impacts on the specific probabilities per unit change in
the covariates are also given. Since the solutions are not of closed form, Maximum likelihood estimation based on Newton
Raphson algorithm was used to estimate the parameters of the model. A Monte Carlo study was carried out to investigate some
theoretical properties of the estimators in the models. The study found that the Zero inflated dynamic panel ordered probit
models with independent and correlated error terms produced consistent estimators. The Zero inflated dynamic panel ordered
probit models with independent and correlated error terms had more accurate estimators than the Dynamic panel ordered probit
model. The Zero inflated dynamic panel ordered probit model with correlated error terms fitted the National Longitudinal
Survey of Youth 1997 better than Zero inflated dynamic panel ordered probit model with independent error terms and Dynamic
panel ordered probit model. The Zero inflated dynamic panel ordered probit model with independent error terms fitted the
National Longitudinal Survey of Youth 1997 better the Dynamic panel ordered probit model.
Description
research article
Keywords
Correlated Zero Inflated Dynamic Panel Ordered Probit Model (ZIDPOPC), State Dependence, Unobserved Heterogeneity, Initial Condition Problem
Citation
John Kung’u, Leo Odongo, Ananda Kube. Classical Approach to Zero-Inflated Dynamic Panel Ordered Probit Model with an Application in Drug Abuse. American Journal of Theoretical and Applied Statistics. Vol. 11, No. 2, 2022, pp. 58-74. doi: 10.11648/j.ajtas.20221102.11