The application of Bayesian analysis to issues in developmental research

This article reviews the concepts and methods of Bayesian statistical analysis, which can offer innovative and powerful solutions to some challenging analytical problems that characterize developmental research. In this article, we demonstrate the utility of Bayesian analysis, explain its unique adeptness in some circumstances, address some concerns and misconceptions about the approach, and illustrate some applications of Bayesian analysis to issues that frequently arise in developmental research. The illustrations of the approach provided here reflect several important issues within the domain of moral reasoning development (such as assessing patterns of stage change over time); however, the methods are readily applicable across content areas in developmental research.

[1]  Linda M. Collins,et al.  Latent class and latent transition analysis , 2009 .

[2]  L. Nucci,et al.  The Development of Moral Reasoning , 2007 .

[3]  D. Lapsley Moral stage theory. , 2006 .

[4]  J. Ioannidis Why Most Published Research Findings Are False , 2005, PLoS medicine.

[5]  S. Lipsitz,et al.  Missing-Data Methods for Generalized Linear Models , 2005 .

[6]  Stephanie T. Lanza,et al.  Using data augmentation to obtain standard errors and conduct hypothesis tests in latent class and latent transition analysis. , 2005, Psychological methods.

[7]  Jean-Michel Marin,et al.  Bayesian Modelling and Inference on Mixtures of Distributions , 2005 .

[8]  D. Trafimow Hypothesis testing and theory evaluation at the boundaries: surprising insights from Bayes's theorem. , 2003, Psychological review.

[9]  Peter Congdon,et al.  Applied Bayesian Modelling , 2003 .

[10]  David J. Spiegelhalter,et al.  WinBUGS user manual version 1.4 , 2003 .

[11]  Jeff Gill,et al.  Bayesian Methods : A Social and Behavioral Sciences Approach , 2002 .

[12]  Paul M. Gustafson,et al.  The consolidation/transition model in moral reasoning development. , 2001, Developmental psychology.

[13]  José M Bernardo and Adrian F M Smith,et al.  BAYESIAN THEORY , 2008 .

[14]  N. G. Best,et al.  WinBUGS User Manual: Version 1.4 , 2001 .

[15]  L. Harlow,et al.  What if there were no significance tests , 1997 .

[16]  David B. Dunson,et al.  Bayesian Data Analysis , 2010 .

[17]  Adrian F. M. Smith,et al.  Sampling-Based Approaches to Calculating Marginal Densities , 1990 .

[18]  J. Berger Statistical Decision Theory and Bayesian Analysis , 1988 .

[19]  Anne Colby,et al.  The Measurement Of Moral Judgment , 1987 .

[20]  S. Powers,et al.  The Development of Moral Reasoning , 1983 .

[21]  David Lindley,et al.  The future of statistics-A Bayesian 21st Century , 1974 .

[22]  John K. McCreary,et al.  The Psychology of Moral Development , 1950 .