Intraindividual

Quantitative Modeling of Repeated Observations from Individuals & Groups

Connections

Dynamical Systems

Fun with Attractors: A fun introduction to the concept of attractors

Programming/Statistics

OpenMx: An R package for SEM and Matrix Algebra Optimization  

R: A free program for analyzing data

Statistical Distributions: Figure of the relationships between many distributions

Welcome!


Time-Delay Embedding & Derivative Estimation

Substantive Work

Dynamic and Dynamical Systems

Exact Discrete Model

Other Work


Pascal R. Deboeck

Connections

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Longitudinal Data Analysis (2015)

This essay reviews emerging trends in modeling repeated measures data. Three longitudinal models are discussed: panel model designs, growth curve...
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Derivative Variability Analysis (DVA) (2009)

Intraindividual measures, such as intraindividual standard deviation or coefficient of variation, are incomplete representations variability. Studying variability can be made...
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No Need to be Discrete: Continuous Time Mediation (2015)

Mediation models based on cross-sectional data can produce unexpected estimates, so much so that making longitudinal or causal inferences is...
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Stress dissipation effects on health and well-being (2014)

Daily data from the NDHWB (n = 783; age range 37–90) were analyzed to produce ‘dynamic characteristic’ estimates of stress...
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Generalized Local Linear Approximation (GLLA) (2009)

Brief summary of post contents Generalized Local Linear Approximation is a generalization of local linear approximation of derivatives (LLA, Boker...
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Differing Perspectives on Time Alter Mediation Inferences (2018)

Time is unlike any other variable. This chapter considers the difference in perspectives offered by discrete-time and continuous-time approached to...
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Modeling Noisy Data with Observed and Expected Matrices (2010)

Using embedded and observed data matrices, a statistical approach to differential equation modeling is presented. This approach appears robust to...
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Generalized Orthogonal Derivative Estimates (GOLD) (2010)

The fitting of dynamical systems can be improved by estimating derivatives in a manner similar to that used to fit...
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Integration of Stochastic Differential Equations (2016)

Stochastic differential equation (SDE) models are a promising method for modeling intraindividual change and variability. This method uses structural equation...
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Dynamical Systems Approaches (2016)

This is an introduction to dynamical systems ideas. Dynamical systems are mathematical models of one or more constructs that change...
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