05_IntroMultiLevelCh - HDFS 597K Overview 1 Multilevel model of Change = Growth Curve Analysis Individual-level data Regression Model with Time as

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1 MULTILEVEL MODEL OF CHANGE INDIVIDUAL LEVEL HDFS 597K February 09, 2009 HDFS 597K Applied Longitudinal Data Analysis Overview 1. Multilevel model of Change = Growth Curve Analysis 2. Individual-level data 3. Regression Model with Time as a Predictor Individual Level 4. Collecting them together Sample Level Intraindividual Change: Latent Growth Curve Analysis R. Mapplethorpe, Thomas & Dovanna , 1987 Growth Curve Analysis – Latent Growth Curve (LGC) – Hierarchical Linear Modeling (HLM) – Multi-level models of change (MLMC) • Class of methods used to study change – explicit testing of hypotheses regarding the structure of longitudinal data Latent Growth Curve Modeling • Origins: • Rao (1958), Tucker (1958), Meredith & Tisak (1984) • Expansions: • Browne & DuToit, (1991), McArdle (1988), McArdle & Epstein (1987) t (1987), etc. •O v e r v i ew s : • McArdle & Nesselroade (2003), Preacher, Wichman, MacCallum, & Briggs (2008); Singer & Willet (2003) • Our “didactic” series: – Ram & Grimm (2007); Grimm & Ram (in press); – Ram & Grimm (submitted); Grimm & Ram (in press) f 1 level f 2 slope μ leve l μ slop e σ level, slope = 1 = 1 = 1 = 1 = 1 = 1 = 0 α 1 α 2 α 3 α 4 σ 2 level σ 2 slope 1 y 0 e 0 y 1 e 1 y 2 e 2 y 3 e 3 y 4 e 4 y e 5 σ 2 e σ 2 e σ 2 e σ 2 e σ 2 e σ 2 e = 1 = 1 = 1 = 1 = 1 = 1 Y ti = β 0i + β 1i time ti + e ti β 0i = γ 00 + u 0i β 1i = γ 10 + u 1i
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2 INDIVIDUAL LEVEL DATA Intraindividual Data Persons Variables Nesselroade & Ram, 2004, RHD Occasions Individual Variables Occasions P-Data: Multivariate, Multi-occasion, Single Individual Intraindividual Data Individual Variables Occasions P-slice:
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This note was uploaded on 01/27/2011 for the course HDFS 597 taught by Professor P during the Spring '11 term at Pennsylvania State University, University Park.

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05_IntroMultiLevelCh - HDFS 597K Overview 1 Multilevel model of Change = Growth Curve Analysis Individual-level data Regression Model with Time as

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