Strycker oregon research institute concepts, issues, and applications second edition lawrence erlbaum associates, publishers 2006 mahwah, new jersey london. Table of contents for an introduction to latent variable growth curve modeling. Linear growth models nonlinear growth models multivariate growth models. Latent growth curve modeling as an integrative approach to. This study presents a basic introduction to a latent growth modeling approach for analyzing repeated measures data. Article in structural equation modeling a multidisciplinary journal 144. Discrete latent profile growth mixture latent class analysis, regression general software. An introduction to latent variable growth curve modeling terry e. R sem latent growth curve modeling class assignment. Latent growth curve analysis columbia university mailman. An introduction to latent variable growth curve modeling free download as pdf file. An introduction to growth curve analysis using structural. Article information, pdf download for latent growth curve models.
It is designed to take advantage of the readers familiarity with analysis of variance and structural equation. Conventional, but popular, methods of analyzing change over time, such as the. An introduction to latent class growth analysis and growth. An introduction to latent class growth analysis and growth mixture modeling tony jung and k. Growth modeling with latent variables using mplus idre stats. However, it also teaches students how to incorporate latent variable growth curves into models latent growth curve models lgcm. Bibliographic record and links to related information available from the library of congress catalog. Latent growth curve models estimate each individuals initial status in the form of an intercept, and rate of growth in the form of a slope, and they estimate population group intercepts and slopes in the form of latent variables. Divided into five sections, the first provides a broad introduction to the field that serves as a framework for understanding the latter chapters. Introduction to latent variable growth curve modeling. Participants will learn basic skills to analyze data with structural equation modeling. One such framework is latent growth modeling, perhaps the most important and influential statistical revolution to have recently occurred in the social and behavioral sciences.
Growth modeling in mplus overview longitudinal research foundations of latent growth curve modeling data preparation growth modeling. Topic covers how program different types of latent curve models linear only including fit indices, random slopes and intercepts, and their. Growth modeling in mplus steps in growth modeling preliminary descriptive statistics means, variances, correlations, distributions, outliers determine the shape of the growth curve from theory andor data individual plots mean plots fit unconditional growth model modify models as needed add covariatesthe conditional model. Once the random coefficient model has been placed within the latent variable framework, many general forms of longitudinal analyses can be studied. Concepts, issues, and applications, 2nd edition by t. Strycker this book provides a comprehensive introduction to latent variable growth curve modeling lgm for analyzing repeated measures. An introduction to latent class growth analysis and growth mixture modeling. Aug 31, 2007 an introduction to latent variable growth curve modeling. The general latent variable growth mixture model can be represented as follows. Wickrama iowa state university abstract in recent years, there has been a growing interest among researchers in the use of latent class and growth mixture modeling techniques for applications in the. Flora and others published an introduction to latent variable growth curve modeling. Twelve frequently asked questions about growth curve modeling. Mortimer street, london w1t 3jh, uk an introduction to latent. Overview of latent growth modeling meredith and tisak 1984, 1990 proposed the latent growth modeling approach for analyzing repeated measures data based on the pioneering work of rao 1958 and tucker 1958.
Voelkle 1 abstract latent growth curve models lgcm are discussed as a general dataanalytic approach to the analysis of change. A sas macro for latent growth curve modeling peichin lu, university of northern colorado. For a linear latent growth curve model, there are two latent factors. Will introduce the basics of growth curve analysis gca and the fundamental questions that are asked using it. A structural equation modeling approach chapel hill, nc june 26, 2014. Masyn1, hanno petras2 and weiwei liu3 1harvard graduate school of education, cambridge, ma, usa 2research and development, jbs international, north bethesda, md, usa 3norc at the university of chicago, bethesda, md, usa overview motivated by the limited available literature on. Longitudinal latent class growth analysis and growth mixture models kristoffer s. Multivariate latent growth curve models mlgms could then be applied for testing mediation longitudinally, that is they model longitudinal change. Concepts, issues, and application, second edition quantitative methodology series terry e. Although the name latent growth model contains the term growth, the lgm can be applied to any repeated measures data.
An introduction to factor, path, and structural equation analysis introduces latent variable models by utilizing path diagrams to explain. The latent growth modeling lgm framework allows more flexibility to fully examine questions often posited by developmental and behavioral researchers. It presents the statistical basis for lgm and its various methodological extensions, including a number of practical examples of its use. Latent growth curve modeling as an integrative approach to the analysis of change manuel c. Table of contents for an introduction to latent variable. An introduction to latent growth curve modeling 337 specification of the lgm the simplest latent growth curve model involves one variable e. An introduction to latent variable mixture modeling part 2. An introduction to latent variable modeling karen bandeenroche qianli xue johns hopkins departments of biostatistics and medicine october 27, 2016.
A largely independent tradition to analysis of longitudinal data has been conducted within the latent variable structural equation modeling sem framework. Repeated measures aov is a form of a latent growth curve model. This course will offer a conceptual introduction to lgc models, its theories and applications. Introduction to latent variable mixture modeling part 2. Wellused latent variable models latent variable scale observed variable scale continuous discrete continuous factor analysis lisrel discrete fa irt item response discrete latent profile growth mixture latent class analysis, regression general software.
This article presents a basic latent growth modeling approach for analyzing repeated measures data and delineates several of its extensions, including analyses for multiple populations, accelerated designs, multivariate associative models, and a framework for sample size selection and power estimation. Chapter 1 the unconditional linear latent curve model. An introduction to latent variable growth curve modeling. Pdf latent variable modeling using r download full pdf. Part 2 focuses on multilevel latent variable modeling including item response theory and mixture modeling. However, within the past decade or so, this term has primarily come to define a. Mplus short courses topic 3 growth modeling with latent. From there, each chapter is dedicated to a different latent variable model including exploratory and confirmatory factor analysis cfa, structural equation modeling sem, multiple groups cfasem, least squares estimation, growth curve models, mixture models, item response theory both dichotomous and polytomous items, differential item. Pdf introducing multilevel modeling download full pdf. The growth mixture model in figure 2 consists of the following components. Multilevel and sem approaches to growth curve modeling 3 e 0 s 01 h 0 h 1 l 00 1 l 01 1 l 02 1 l 03 1 l 10 0 l 11 1 l 12 2 l 3 e 1 e 2 e 3 y 0 y 1 y 2 y 3 figure 1 path diagram of a fourwave latent growth curve model the aim of the study is testing the hypothesis that there exists substantial growth in language acquisition. Concepts, issues, and application, second edition quantitative methodology series 9780805855470 by duncan, terry e duncan, susan c strycker, lisa a. Growth modeling in mplus introduction to growth modeling in mplus xin feng, ph.
It presents the statistical basis for lgm and its various methodological extensions, including a number of practical examples. Multilevel and sem approaches to growth curve modeling. Growth curve models with categorical outcomes katherine e. This volume presents latent variable growth curve modeling for analyzing repeated measures. It is likely that most readers have already mastered many of lgms underpinnings, in as much as repeated measures analysis of variance anova models are special cases of lgms that focus only on the factor means.
Latent curve analysis latent growth curve modeling l patrick j. It presents the statistical basis for lgm and its various methodological extensions, including a number of practical examples of. An introduction to latent growth curve modeling 347 modeling betweensubjects effects multiple sample growth models in the typical lgm application it is assumed that individuals whose data are being analyzed represent a random sample of observations from a single population. Introduction to latent variable models lecture 1 francesco bartolucci department of economics, finance and statistics. Buchanan missouri state university summer 2016 this video is a lecture that covers latent growth curve modeling including the steps for random intercepts and slopes taken. An introduction to growth curve analysis using structural equation modeling. Dec 01, 2009 the latent growth modeling lgm framework allows more flexibility to fully examine questions often posited by developmental and behavioral researchers. Examples include path analysis regression, repeated measures analysislatent growth curve modeling, and confirmatory factor analysis. Mortimer street, london w1t 3jh, uk an introduction to. The latent growth curve model lgcm is a useful tool in analyzing longitudinal data. Hypothesized singledomain latent growth curve model of perceived math. An introduction to factor, path, and structural equation analysis, fifth edition. Berlin, phd 1 department of psychology, the university of memphis, 2 department of psychology, the university of southern mississippi, and 3 department of child, youth and family studies, the university.