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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Resilience-As-Process: Negative Affect & Stress (2010)

Resilience is often considered both a trait and a process. The current study proposes a new way to conceptualize resilience-as-process...
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Differential Equation Modeling Is the Language of Change (2013)

Many applied statistical problems address how change two variables are related. In this chapter derivatives are presented as a language...
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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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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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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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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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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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Smoothing–Independent Estimation of Oscillators (2009)

This article considers the estimation of damped linear oscillators with psychological data. The formulas of the new method presented in...
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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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