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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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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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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The Modeling of Change and Variability in Nursing Research (2015)

Most methods in statistics are focused on the analysis of mean differences. Mean–difference questions, however, represent only a narrow range...
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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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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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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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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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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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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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