registr (version 1.0.0)

simulate_functional_data: Simulate functional data

Description

This function simulates functional data. The data it outputs is generated from a mean function and two orthogonal principal component basis functions. The mean and principal components are based on sine and cosine functions. Subject-specific scores for each PC are drawn from normal distributions with standard deviation lambda1 and lambda2.

Usage

simulate_functional_data(
  lambda1 = 2,
  lambda2 = 1,
  I = 50,
  D = 100,
  seed = 1988,
  vary_D = FALSE
)

Value

A list containing:

Y

Simulated dataframe with variables id, value, index, and latent_mean.

psi1

True values for first principal component.

psi2

True values for second principal component.

alpha

True values for population-level mean.

A list containing:

Y

A dataframe of simulated data.

psi1

The first simulated eigenfunction.

psi2

The second simulated eigenfunction.

alpha

The population mean.

Arguments

lambda1

Standard deviation for PC1 scores.

lambda2

Standard deviation for PC2 scores.

I

Number of subjects. Defaults is 50.

D

Number of grid points per subject. Default is 100.

seed

Seed for reproducibility. Default is 1988.

vary_D

Indicates if grid length vary by subject. If FALSE all subjects have grid length D.

Author

Julia Wrobel