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Ziqian Xu; Fei Gao; Anqi Fa; Wen Qu; Zhiyong Zhang – Grantee Submission, 2024
Conditional process models, including moderated mediation models and mediated moderation models, are widely used in behavioral science research. However, few studies have examined approaches to conduct statistical power analysis for such models and there is also a lack of software packages that provide such power analysis functionalities. In this…
Descriptors: Statistical Analysis, Sample Size, Mediation Theory, Monte Carlo Methods
Mai, Yujiao; Xu, Ziqian; Zhang, Zhiyong; Yuan, Ke-Hai – Grantee Submission, 2023
Structural equation modeling (SEM) is widely used in behavioral, social, and education research. Drawing publication-ready path diagrams for SEM is not a pleasant task with the existing software. The article introduces an open-source web-based graphical application, "semdiag," for drawing WYSIWYG SEM path diagrams interactively. The…
Descriptors: Open Source Technology, Web 2.0 Technologies, Freehand Drawing, Path Analysis
Tong, Xin; Zhang, Zhiyong – Grantee Submission, 2020
Despite broad applications of growth curve models, few studies have dealt with a practical issue -- nonnormality of data. Previous studies have used Student's "t" distributions to remedy the nonnormal problems. In this study, robust distributional growth curve models are proposed from a semiparametric Bayesian perspective, in which…
Descriptors: Robustness (Statistics), Bayesian Statistics, Models, Error of Measurement
Qu, Wen; Liu, Haiyan; Zhang, Zhiyong – Grantee Submission, 2020
In social and behavioral sciences, data are typically not normally distributed, which can invalidate hypothesis testing and lead to unreliable results when being analyzed by methods developed for normal data. The existing methods of generating multivariate non-normal data typically create data according to specific univariate marginal measures…
Descriptors: Social Science Research, Statistical Distributions, Multivariate Analysis, Monte Carlo Methods
Qu, Wen; Liu, Haiyan; Zhang, Zhiyong – Grantee Submission, 2020
In social and behavioral sciences, data are typically not normally distributed, which can invalidate hypothesis testing and lead to unreliable results when being analyzed by methods developed for normal data. The existing methods of generating multivariate non-normal data typically create data according to specific univariate marginal measures…
Descriptors: Social Science Research, Multivariate Analysis, Statistical Distributions, Monte Carlo Methods
Zhang, Zhiyong; Yuan, Ke-Hai – Grantee Submission, 2016
Cronbach's coefficient alpha is a widely used reliability measure in social, behavioral, and education sciences. It is reported in nearly every study that involves measuring a construct through multiple items. With non-tau-equivalent items, McDonald's omega has been used as a popular alternative to alpha in the literature. Traditional estimation…
Descriptors: Computation, Error of Measurement, Robustness (Statistics), Statistical Analysis
Zhang, Zhiyong – Grantee Submission, 2016
Growth curve models are widely used in social and behavioral sciences. However, typical growth curve models often assume that the errors are normally distributed although non-normal data may be even more common than normal data. In order to avoid possible statistical inference problems in blindly assuming normality, a general Bayesian framework is…
Descriptors: Bayesian Statistics, Models, Statistical Distributions, Computation
Zhang, Zhiyong; Jiang, Kaifeng; Liu, Haiyan; Oh, In-Sue – Grantee Submission, 2018
To answer the call of introducing more Bayesian techniques to organizational research (e.g., Kruschke, Aguinis, & Joo, 2012; Zyphur & Oswald, 2013), we propose a Bayesian approach for meta-analysis with power prior in this article. The primary purpose of this method is to allow meta-analytic researchers to control the contribution of each…
Descriptors: Bayesian Statistics, Meta Analysis, Correlation, Statistical Analysis
Zhang, Zhiyong; Liu, Haiyan – Grantee Submission, 2018
Latent change score models (LCSMs) proposed by McArdle (McArdle, 2000, 2009; McArdle & Nesselroade, 1994) offer a powerful tool for longitudinal data analysis. They are becoming increasingly popular in social and behavioral research (e.g., Gerstorf et al., 2007; Ghisletta & Lindenberger, 2005; King et al., 2006; Raz et al., 2008). Although…
Descriptors: Sample Size, Monte Carlo Methods, Data Analysis, Models
Cain, Meghan K.; Zhang, Zhiyong – Grantee Submission, 2018
Despite its importance to structural equation modeling, model evaluation remains underdeveloped in the Bayesian SEM framework. Posterior predictive p-values (PPP) and deviance information criteria (DIC) are now available in popular software for Bayesian model evaluation, but they remain under-utilized. This is largely due to the lack of…
Descriptors: Bayesian Statistics, Structural Equation Models, Monte Carlo Methods, Sample Size
Cain, Meghan K.; Zhang, Zhiyong; Bergeman, C.S. – Grantee Submission, 2018
This paper serves as a practical guide to mediation design and analysis by evaluating the ability of mediation models to detect a significant mediation effect using limited data. The cross-sectional mediation model, which has been shown to be biased when the mediation is happening over time, is compared to longitudinal mediation models:…
Descriptors: Mediation Theory, Case Studies, Longitudinal Studies, Measurement Techniques
Testing Autocorrelation and Partial Autocorrelation: Asymptotic Methods versus Resampling Techniques
Ke, Zijun; Zhang, Zhiyong – Grantee Submission, 2018
Autocorrelation and partial autocorrelation, which provide a mathematical tool to understand repeating patterns in time series data, are often used to facilitate the identification of model orders of time series models (e.g., moving average and autoregressive models). Asymptotic methods for testing autocorrelation and partial autocorrelation such…
Descriptors: Correlation, Mathematical Formulas, Sampling, Monte Carlo Methods
Mai, Yujiao; Zhang, Zhiyong; Wen, Zhonglin – Grantee Submission, 2018
Exploratory structural equation modeling (ESEM) is an approach for analysis of latent variables using exploratory factor analysis to evaluate the measurement model. This study compared ESEM with two dominant approaches for multiple regression with latent variables, structural equation modeling (SEM) and manifest regression analysis (MRA). Main…
Descriptors: Structural Equation Models, Multiple Regression Analysis, Comparative Analysis, Statistical Bias
Mai, Yujiao; Zhang, Zhiyong – Grantee Submission, 2018
Multilevel modeling is a statistical approach to analyze hierarchical data, which consist of individual observations nested within clusters. Bayesian methods is a well-known, sometimes better, alternative of Maximum likelihood methods for fitting multilevel models. Lack of user-friendly and computationally efficient software packages or programs…
Descriptors: Hierarchical Linear Modeling, Computer Software, Bayesian Statistics, Efficiency
Cain, Meghan K.; Zhang, Zhiyong; Yuan, Ke-Hai – Grantee Submission, 2017
Nonnormality of univariate data has been extensively examined previously (Blanca et al., 2013; Micceri, 1989). However, less is known of the potential nonnormality of multivariate data although multivariate analysis is commonly used in psychological and educational research. Using univariate and multivariate skewness and kurtosis as measures of…
Descriptors: Multivariate Analysis, Probability, Statistical Distributions, Psychological Studies
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