Simulate observations from a congeneric one-factor model.

Simulate observations from a one-factor model with specified latent variable and error variable distributions. The error terms are not correlated, hence the model is congeneric.

Usage

simulate_congeneric(
  n,
  k,
  sigma = 1,
  lambda = 1,
  latent = stats::rnorm,
  error = stats::rnorm
)

Arguments

n: Number of observations.
k: Size of matrix or number of testlets.
sigma: Vector of error standard deviations. Repeated to have k elements.
lambda: Vector of factor loadings. Repeated to have k elements.
latent: Distribution of the latent variable.
error: Distribution of the error variable.

Value

Covariance matrix.