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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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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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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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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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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Dynamical systems and models of continuous time (2013)

Historically, it has been easier to describe differences between groups of people, rather than describe the dynamic ways that people...
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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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Mood Oscillations Weather and RCBD (2008)

Rapid Cycling Bipolar Disorder outpatients completed twice-daily mood self-ratings for 3 consecutive months. These ratings were matched with local measurements...
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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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Empirical Bayes Derivative Estimates (2020)

This article proposes a new method for estimating derivatives on calculating the Empirical Bayes estimates of derivatives from a mixed...
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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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