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refund (version 0.1-1)

gibbs_mult_wish: Multilevel FoSR using a Gibbs sampler and Wishart prior

Description

Fitting function for function-on-scalar regression for multilevel data. This function estimates model parameters using a Gibbs sampler and estimates the residual covariance surface using a Wishart prior.

Usage

gibbs_mult_wish(formula, Kt = 5, data = NULL, verbose = TRUE,
  N.iter = 5000, N.burn = 1000, alpha = 0.1, Az = NULL, Bz = NULL,
  Aw = NULL, Bw = NULL, v = NULL, SEED = NULL)

Arguments

formula
a formula indicating the structure of the proposed model.
Kt
number of spline basis functions used to estimate coefficient functions
data
an optional data frame, list or environment containing the variables in the model. If not found in data, the variables are taken from environment(formula), typically the environment from which the function is called.
verbose
logical defaulting to TRUE -- should updates on progress be printed?
N.iter
number of iterations used in the Gibbs sampler
N.burn
number of iterations discarded as burn-in
alpha
tuning parameter balancing second-derivative penalty and zeroth-derivative penalty (alpha = 0 is all second-derivative penalty)
Az
hyperparameter for inverse gamma controlling variance of spline terms for subject-level effects
Bz
hyperparameter for inverse gamma controlling variance of spline terms for subject-level effects
Aw
hyperparameter for inverse gamma controlling variance of spline terms for population-level effects
Bw
hyperparameter for inverse gamma controlling variance of spline terms for population-level effects
v
hyperparameter for inverse Wishart prior on residual covariance
SEED
seed value to start the sampler; ensures reproducibility

References

Goldsmith, J., Kitago, T. (Under Review). Assessing Systematic Effects of Stroke on Motor Control using Hierarchical Function-on-Scalar Regression.