Growth mixture models (GMMs) are prevalent for modeling unknown population heterogeneity via distinct latent classes. However, GMMs are riddled with convergence issues, often requiring researchers to atheoretically alter the model with cross-class constraints to obtain convergence. We discuss how within-class random effects in GMMs exacerbate…

This article distinguishes three measures of intergenerational economic mobility that emerge when the population is divided into groups: overall individual mobility, within-group mobility, and between-group mobility. We clarify their properties and the relationship between them. We then evaluate Clark's use of surname between-group persistence as…

Misclassification means the observed category is different from the underlying one and it is a form of measurement error in categorical data. The measurement error in continuous, especially normally distributed, data is well known and studied in the literature. But the misclassification in a binary outcome variable has not yet drawn much attention…

The increasing availability of massive administrative datasets linking postsecondary enrollees with post-college earnings records has stimulated a wealth of new research on the returns to college, and has accelerated state and federal efforts to hold institutions accountable for students' labor market outcomes. Many of these new research and…

Since the seminal introduction of the propensity score (PS) by Rosenbaum and Rubin, PS-based methods have been widely used for drawing causal inferences in the behavioral and social sciences. However, the PS approach depends on the ignorability assumption: there are no unobserved confounders once observed covariates are taken into account. For…

The increasing availability of massive administrative datasets linking postsecondary enrollees with post-college earnings records has stimulated a wealth of new research on the returns to college, and has accelerated state and federal efforts to hold institutions accountable for students' labor market outcomes. Many of these new research and…

This article presents a multiple-group latent class-profile analysis (LCPA) by taking a Bayesian approach in which a Markov chain Monte Carlo simulation is employed to achieve more robust estimates for latent growth patterns. This article describes and addresses a label-switching problem that involves the LCPA likelihood function, which has…

Educational attainment sits at the core of research on social stratification in the United States. An extensive literature details the inequalities in access to levels of education, the socioeconomic rewards conferred upon those reaching higher levels of schooling, and the prospects for social mobility among those able to attain a college degree.…

Growth curve models with different types of distributions of random effects and of intraindividual measurement errors for robust analysis are compared. After demonstrating the influence of distribution specification on parameter estimation, 3 methods for diagnosing the distributions for both random effects and intraindividual measurement errors…

"Growth mixture models" (GMMs) with nonignorable missing data have drawn increasing attention in research communities but have not been fully studied. The goal of this article is to propose and to evaluate a Bayesian method to estimate the GMMs with latent class dependent missing data. An extended GMM is first presented in which class…

Despite the widespread popularity of growth curve analysis, few studies have investigated robust growth curve models. In this article, the "t" distribution is applied to model heavy-tailed data and contaminated normal data with outliers for growth curve analysis. The derived robust growth curve models are estimated through Bayesian…

Nearly one in five U.S. youths will run away from home before age 18. Almost 30 percent of these youth will do so three or more times, greatly increasing their risk of violence, crime, drugs, prostitution, STDs, and many other problems. Employing new methodology to yield estimates not available elsewhere, this paper follows a nationally…

Bayesian methods for analyzing longitudinal data in social and behavioral research are recommended for their ability to incorporate prior information in estimating simple and complex models. We first summarize the basics of Bayesian methods before presenting an empirical example in which we fit a latent basis growth curve model to achievement data…

Policies governing divorce and parenting, such as child support orders and enforcement, child custody regulations, and marital dissolution requirements, can have a large impact on the welfare of parents and children. Recent research has produced evidence on the responses of divorce rates to unilateral divorce laws and child support enforcement. In…