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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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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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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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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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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Maternal Depressive Symptomatology and Child Behavior (2011)

This study investigated reciprocal relationships between adolescent mothers and their children’s well-being through an analysis of the coupling relationship of...
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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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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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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 Oscillators Using Surrogate Data Analysis (2008)

Methods for fitting the damped linear oscillator model using differential equation modeling can yield biased parameter estimates when applied to...
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