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Data Generation Functions

GenData()
Simulate Data
IllustrationGenData()
Simulate Data (Illustration)
RandomMeasurement()
Simulate Random Measurement

Model Fitting Functions

FitDynr()
Fit the Model using the dynr Package
FitMx()
Fit the Model using the OpenMx Package
IllustrationFitDynr()
Fit the Model using the dynr Package (Illustration)
IllustrationFitMx()
Fit the Model using the OpenMx Package (Illustration)
IllustrationMCPhiSigma()
Generate a Sampling Distribution of Drift Matrices and Process Noise Covariance Matrices (Illustration)
IllustrationPrepData()
Prepare Data Before Model Fitting (Illustration)
PhiHat()
Estimated Drift Matrix
ThetaHat()
Estimated Drift Matrix and Process Noise

Confidence Interval Functions

BootPara()
Parametric Bootstrap
BootParaStdXMY()
Parametric Bootstrap Confidence Intervals for X-M-Y (Standardized)
BootParaStdXYM()
Parametric Bootstrap Confidence Intervals for X-Y-M (Standardized)
BootParaStdYMX()
Parametric Bootstrap Confidence Intervals for Y-M-X (Standardized)
BootParaXMY()
Parametric Bootstrap Confidence Intervals for X-M-Y
BootParaXYM()
Parametric Bootstrap Confidence Intervals for X-Y-M
BootParaYMX()
Parametric Bootstrap Confidence Intervals for Y-M-X
DeltaStdXMY()
Delta Method Confidence Intervals for X-M-Y (Standardized)
DeltaStdXYM()
Delta Method Confidence Intervals for X-Y-M (Standardized)
DeltaStdYMX()
Delta Method Confidence Intervals for Y-M-X (Standardized)
DeltaXMY()
Delta Method Confidence Intervals for X-M-Y
DeltaXYM()
Delta Method Confidence Intervals for X-Y-M
DeltaYMX()
Delta Method Confidence Intervals for Y-M-X
IllustrationBootPara()
Parametric Bootstrap (Illustration)
MCStdXMY()
Monte Carlo Method Confidence Intervals for X-M-Y (Standardized)
MCStdXYM()
Monte Carlo Method Confidence Intervals for X-Y-M (Standardized)
MCStdYMX()
Monte Carlo Method Confidence Intervals for Y-M-X (Standardized)
MCXMY()
Monte Carlo Method Confidence Intervals for X-M-Y
MCXYM()
Monte Carlo Method Confidence Intervals for X-Y-M
MCYMX()
Monte Carlo Method Confidence Intervals for Y-M-X

Illustration Functions

IllustrationBootPara()
Parametric Bootstrap (Illustration)
IllustrationFigScatterPlotCoverage()
Illustration Plot Coverage Probabilities
IllustrationFigScatterPlotPower()
Illustration Plot Statistical Power
IllustrationFigScatterPlotSeBias()
Illustration Plot Standard Error Bias
IllustrationFitDynr()
Fit the Model using the dynr Package (Illustration)
IllustrationFitMx()
Fit the Model using the OpenMx Package (Illustration)
IllustrationGenData()
Simulate Data (Illustration)
IllustrationMCPhiSigma()
Generate a Sampling Distribution of Drift Matrices and Process Noise Covariance Matrices (Illustration)
IllustrationPrepData()
Prepare Data Before Model Fitting (Illustration)
SimIllustration()
Simulation Replication (Illustration)
SimIllustrationDynrBootPara()
Simulation Replication - BootPara
SimIllustrationDynrBootParaStdXMY()
Simulation Replication - BootParaStdXMY
SimIllustrationDynrBootParaXMY()
Simulation Replication - BootParaXMY
SimIllustrationDynrDeltaStdXMY()
Simulation Replication - Illustration (DynrDeltaStdXMY)
SimIllustrationDynrDeltaXMY()
Simulation Replication - Illustration (DynrDeltaXMY)
SimIllustrationDynrMCPhiSigma()
Simulation Replication - Illustration (MCPhiSigma)
SimIllustrationDynrMCStdXMY()
Simulation Replication - Illustration (DynrMCStdXMY)
SimIllustrationDynrMCXMY()
Simulation Replication - Illustration (DynrMCXMY)
SimIllustrationFitDynr()
Simulation Replication - IllustrationFitDynr
SimIllustrationFitMx()
Simulation Replication - IllustrationFitMx
SimIllustrationGenData()
Simulation Replication - IllustrationGenData
SimIllustrationPara()
Simulation Replication Parametric Bootstrap (Parallel)
SumIllustration()
Summary (Illustration)
SumIllustrationDynrBootParaStdXMY()
Summary - Illustration (DynrBootParaStdXMY)
SumIllustrationDynrBootParaXMY()
Summary - Illustration (DynrBootParaXMY)
SumIllustrationDynrDeltaStdXMY()
Summary - Illustration (DynrDeltaStdXMY)
SumIllustrationDynrDeltaXMY()
Summary - Illustration (DynrDeltaXMY)
SumIllustrationDynrMCStdXMY()
Summary - Illustration (DynrMCStdXMY)
SumIllustrationDynrMCXMY()
Summary - Illustration (DynrMCXMY)
SumIllustrationFitDynr()
Summary - Illustration (FitDynr)
illustration_dist
Illustration Sampling Distribution
illustration_dist_dt
Illustration Sampling Distribution Discrete Time - Time Interval of 1
illustration_dist_dt_mc
Illustration Sampling Distribution Discrete Time - Time Interval of 1 (Monte Carlo Method)
illustration_dist_mc
Illustration Sampling Distribution (Monte Carlo Method)
illustration_dist_med
Illustration Sampling Distribution Total, Direct, and Indirect Effects - Time Interval of 1
illustration_dist_med_mc
Illustration Sampling Distribution Total, Direct, and Indirect Effects - Time Interval of 1 (Monte Carlo Method)
illustration_dist_med_std
Illustration Sampling Distribution Standardized Total, Direct, and Indirect Effects - Time Interval of 1
illustration_dist_med_std_mc
Illustration Sampling Distribution Standardized Total, Direct, and Indirect Effects - Time Interval of 1 (Monte Carlo Method)
illustration_results
Illustration Small Scale Simulation Results

Simulation Functions

Sim()
Simulation Replication
SimDynrBootPara()
Simulation Replication - BootPara
SimDynrBootParaStdXMY()
Simulation Replication - BootParaStdXMY
SimDynrBootParaStdYMX()
Simulation Replication - BootParaStdYMX
SimDynrBootParaXMY()
Simulation Replication - BootParaXMY
SimDynrBootParaYMX()
Simulation Replication - BootParaYMX
SimDynrDeltaStdXMY()
Simulation Replication - DynrDeltaStdXMY
SimDynrDeltaStdYMX()
Simulation Replication - DynrDeltaStdYMX
SimDynrDeltaXMY()
Simulation Replication - DynrDeltaXMY
SimDynrDeltaYMX()
Simulation Replication - DynrDeltaYMX
SimDynrMCStdXMY()
Simulation Replication - DynrMCStdXMY
SimDynrMCStdYMX()
Simulation Replication - DynrMCStdYMX
SimDynrMCXMY()
Simulation Replication - DynrMCXMY
SimDynrMCYMX()
Simulation Replication - DynrMCYMX
SimFN()
Simulation File Name
SimFitDynr()
Simulation Replication - FitDynr
SimFitMx()
Simulation Replication - FitMx
SimGenData()
Simulation Replication - GenData
SimPara()
Simulation Replication Parametric Bootstrap (Parallel)
SimProj()
Simulation Project Name
Sum()
Summary
SumDynrDeltaStdXMY()
Summary (DynrDeltaStdXMY)
SumDynrDeltaStdYMX()
Summary (DynrDeltaStdYMX)
SumDynrDeltaXMY()
Summary (DynrDeltaXMY)
SumDynrDeltaYMX()
Summary (DynrDeltaYMX)
SumDynrMCStdXMY()
Summary (DynrMCStdXMY)
SumDynrMCStdYMX()
Summary (DynrMCStdYMX)
SumDynrMCXMY()
Summary (DynrMCXMY)
SumDynrMCYMX()
Summary (DynrMCYMX)
SumFitDynr()
Summary (FitDynr)

Summary Functions

Sum()
Summary
SumDynrDeltaStdXMY()
Summary (DynrDeltaStdXMY)
SumDynrDeltaStdYMX()
Summary (DynrDeltaStdYMX)
SumDynrDeltaXMY()
Summary (DynrDeltaXMY)
SumDynrDeltaYMX()
Summary (DynrDeltaYMX)
SumDynrMCStdXMY()
Summary (DynrMCStdXMY)
SumDynrMCStdYMX()
Summary (DynrMCStdYMX)
SumDynrMCXMY()
Summary (DynrMCXMY)
SumDynrMCYMX()
Summary (DynrMCYMX)
SumFitDynr()
Summary (FitDynr)
SumIllustration()
Summary (Illustration)
SumIllustrationDynrBootParaStdXMY()
Summary - Illustration (DynrBootParaStdXMY)
SumIllustrationDynrBootParaXMY()
Summary - Illustration (DynrBootParaXMY)
SumIllustrationDynrDeltaStdXMY()
Summary - Illustration (DynrDeltaStdXMY)
SumIllustrationDynrDeltaXMY()
Summary - Illustration (DynrDeltaXMY)
SumIllustrationDynrMCStdXMY()
Summary - Illustration (DynrMCStdXMY)
SumIllustrationDynrMCXMY()
Summary - Illustration (DynrMCXMY)
SumIllustrationFitDynr()
Summary - Illustration (FitDynr)

Compression Functions

Compress()
Compress Replication
IllustrationCompress()
Compress Replication (Illustration)

Data

illustration_dist
Illustration Sampling Distribution
illustration_dist_dt
Illustration Sampling Distribution Discrete Time - Time Interval of 1
illustration_dist_dt_mc
Illustration Sampling Distribution Discrete Time - Time Interval of 1 (Monte Carlo Method)
illustration_dist_mc
Illustration Sampling Distribution (Monte Carlo Method)
illustration_dist_med
Illustration Sampling Distribution Total, Direct, and Indirect Effects - Time Interval of 1
illustration_dist_med_mc
Illustration Sampling Distribution Total, Direct, and Indirect Effects - Time Interval of 1 (Monte Carlo Method)
illustration_dist_med_std
Illustration Sampling Distribution Standardized Total, Direct, and Indirect Effects - Time Interval of 1
illustration_dist_med_std_mc
Illustration Sampling Distribution Standardized Total, Direct, and Indirect Effects - Time Interval of 1 (Monte Carlo Method)
illustration_results
Illustration Small Scale Simulation Results
params
Simulation Parameters
results
Simulation Results

Figures

FigPlotEffects()
Plot Total, Direct, and Indirect Effects
FigScatterPlotCoverage()
Plot Coverage Probabilities
FigScatterPlotPower()
Plot Statistical Power
FigScatterPlotSeBias()
Plot Standard Error Bias
FigScatterPlotType1()
Plot Type I Error
IllustrationFigPlotEffects()
Plot Total, Direct, and Indirect Effects (Illustration)
IllustrationFigScatterPlotCoverage()
Illustration Plot Coverage Probabilities
IllustrationFigScatterPlotPower()
Illustration Plot Statistical Power
IllustrationFigScatterPlotSeBias()
Illustration Plot Standard Error Bias

All Functions

BootPara()
Parametric Bootstrap
BootParaStdXMY()
Parametric Bootstrap Confidence Intervals for X-M-Y (Standardized)
BootParaStdXYM()
Parametric Bootstrap Confidence Intervals for X-Y-M (Standardized)
BootParaStdYMX()
Parametric Bootstrap Confidence Intervals for Y-M-X (Standardized)
BootParaXMY()
Parametric Bootstrap Confidence Intervals for X-M-Y
BootParaXYM()
Parametric Bootstrap Confidence Intervals for X-Y-M
BootParaYMX()
Parametric Bootstrap Confidence Intervals for Y-M-X
Compress()
Compress Replication
DeltaStdXMY()
Delta Method Confidence Intervals for X-M-Y (Standardized)
DeltaStdXYM()
Delta Method Confidence Intervals for X-Y-M (Standardized)
DeltaStdYMX()
Delta Method Confidence Intervals for Y-M-X (Standardized)
DeltaXMY()
Delta Method Confidence Intervals for X-M-Y
DeltaXYM()
Delta Method Confidence Intervals for X-Y-M
DeltaYMX()
Delta Method Confidence Intervals for Y-M-X
FigPlotEffects()
Plot Total, Direct, and Indirect Effects
FigScatterPlotCoverage()
Plot Coverage Probabilities
FigScatterPlotPower()
Plot Statistical Power
FigScatterPlotSeBias()
Plot Standard Error Bias
FigScatterPlotType1()
Plot Type I Error
FitDynr()
Fit the Model using the dynr Package
FitMx()
Fit the Model using the OpenMx Package
GenData()
Simulate Data
IllustrationBootPara()
Parametric Bootstrap (Illustration)
IllustrationCompress()
Compress Replication (Illustration)
IllustrationFigPlotEffects()
Plot Total, Direct, and Indirect Effects (Illustration)
IllustrationFigScatterPlotCoverage()
Illustration Plot Coverage Probabilities
IllustrationFigScatterPlotPower()
Illustration Plot Statistical Power
IllustrationFigScatterPlotSeBias()
Illustration Plot Standard Error Bias
IllustrationFitDynr()
Fit the Model using the dynr Package (Illustration)
IllustrationFitMx()
Fit the Model using the OpenMx Package (Illustration)
IllustrationGenData()
Simulate Data (Illustration)
IllustrationMCPhiSigma()
Generate a Sampling Distribution of Drift Matrices and Process Noise Covariance Matrices (Illustration)
IllustrationPrepData()
Prepare Data Before Model Fitting (Illustration)
MCStdXMY()
Monte Carlo Method Confidence Intervals for X-M-Y (Standardized)
MCStdXYM()
Monte Carlo Method Confidence Intervals for X-Y-M (Standardized)
MCStdYMX()
Monte Carlo Method Confidence Intervals for Y-M-X (Standardized)
MCXMY()
Monte Carlo Method Confidence Intervals for X-M-Y
MCXYM()
Monte Carlo Method Confidence Intervals for X-Y-M
MCYMX()
Monte Carlo Method Confidence Intervals for Y-M-X
PhiHat()
Estimated Drift Matrix
RandomMeasurement()
Simulate Random Measurement
Sim()
Simulation Replication
SimDynrBootPara()
Simulation Replication - BootPara
SimDynrBootParaStdXMY()
Simulation Replication - BootParaStdXMY
SimDynrBootParaStdYMX()
Simulation Replication - BootParaStdYMX
SimDynrBootParaXMY()
Simulation Replication - BootParaXMY
SimDynrBootParaYMX()
Simulation Replication - BootParaYMX
SimDynrDeltaStdXMY()
Simulation Replication - DynrDeltaStdXMY
SimDynrDeltaStdYMX()
Simulation Replication - DynrDeltaStdYMX
SimDynrDeltaXMY()
Simulation Replication - DynrDeltaXMY
SimDynrDeltaYMX()
Simulation Replication - DynrDeltaYMX
SimDynrMCStdXMY()
Simulation Replication - DynrMCStdXMY
SimDynrMCStdYMX()
Simulation Replication - DynrMCStdYMX
SimDynrMCXMY()
Simulation Replication - DynrMCXMY
SimDynrMCYMX()
Simulation Replication - DynrMCYMX
SimFN()
Simulation File Name
SimFitDynr()
Simulation Replication - FitDynr
SimFitMx()
Simulation Replication - FitMx
SimGenData()
Simulation Replication - GenData
SimIllustration()
Simulation Replication (Illustration)
SimIllustrationDynrBootPara()
Simulation Replication - BootPara
SimIllustrationDynrBootParaStdXMY()
Simulation Replication - BootParaStdXMY
SimIllustrationDynrBootParaXMY()
Simulation Replication - BootParaXMY
SimIllustrationDynrDeltaStdXMY()
Simulation Replication - Illustration (DynrDeltaStdXMY)
SimIllustrationDynrDeltaXMY()
Simulation Replication - Illustration (DynrDeltaXMY)
SimIllustrationDynrMCPhiSigma()
Simulation Replication - Illustration (MCPhiSigma)
SimIllustrationDynrMCStdXMY()
Simulation Replication - Illustration (DynrMCStdXMY)
SimIllustrationDynrMCXMY()
Simulation Replication - Illustration (DynrMCXMY)
SimIllustrationFitDynr()
Simulation Replication - IllustrationFitDynr
SimIllustrationFitMx()
Simulation Replication - IllustrationFitMx
SimIllustrationGenData()
Simulation Replication - IllustrationGenData
SimIllustrationPara()
Simulation Replication Parametric Bootstrap (Parallel)
SimPara()
Simulation Replication Parametric Bootstrap (Parallel)
SimProj()
Simulation Project Name
Sum()
Summary
SumDynrDeltaStdXMY()
Summary (DynrDeltaStdXMY)
SumDynrDeltaStdYMX()
Summary (DynrDeltaStdYMX)
SumDynrDeltaXMY()
Summary (DynrDeltaXMY)
SumDynrDeltaYMX()
Summary (DynrDeltaYMX)
SumDynrMCStdXMY()
Summary (DynrMCStdXMY)
SumDynrMCStdYMX()
Summary (DynrMCStdYMX)
SumDynrMCXMY()
Summary (DynrMCXMY)
SumDynrMCYMX()
Summary (DynrMCYMX)
SumFitDynr()
Summary (FitDynr)
SumIllustration()
Summary (Illustration)
SumIllustrationDynrBootParaStdXMY()
Summary - Illustration (DynrBootParaStdXMY)
SumIllustrationDynrBootParaXMY()
Summary - Illustration (DynrBootParaXMY)
SumIllustrationDynrDeltaStdXMY()
Summary - Illustration (DynrDeltaStdXMY)
SumIllustrationDynrDeltaXMY()
Summary - Illustration (DynrDeltaXMY)
SumIllustrationDynrMCStdXMY()
Summary - Illustration (DynrMCStdXMY)
SumIllustrationDynrMCXMY()
Summary - Illustration (DynrMCXMY)
SumIllustrationFitDynr()
Summary - Illustration (FitDynr)
ThetaHat()
Estimated Drift Matrix and Process Noise