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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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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Modeling Non-Linear Dynamics (2011)

This chapter introduces one approach to describing constructs that consist of easily reversed, short–term changes — data that is often...
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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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An Application of Continuous Time Models to Prevention Research (2021)

Effective interventions may not be limited to changing means, but instead may also include changes to how variables affect each...
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Using Derivatives to Articulate Change Theories (2015)

A wide variety of models can be understood in terms of the level, velocity, and acceleration of constructs: the zeroth,...
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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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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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Gauging Driver Performance (2011)

This paper examines the estimation of derivatives from in-vehicle measures of vehicle control such as steering wheel angle. At very...
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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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The Reservoir Model of Psychological Capacity (2013)

This article describes a model based on a reservoir. This model might be useful for constructs (e.g., stress), where events...
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