theta_FB: (C++) Calculate a theta estimate using FB (Full Bayes) method

In TestDesign: Optimal Test Design Approach to Fixed and Adaptive Test Construction

(C++) Calculate a theta estimate using FB (Full Bayes) method

Description

theta_FB_single() and theta_FB() are functions to calculate a theta estimate using FB (Full Bayes) method.

Usage

theta_FB(
  nx,
  theta_init,
  theta_prop,
  items_list,
  item_init,
  resp,
  ncat,
  model,
  prior,
  prior_parm
)

theta_FB_single(
  nx,
  theta_init,
  theta_prop,
  item_mcmc,
  item_init,
  resp,
  ncat,
  model,
  prior,
  prior_parm
)

Arguments

nx	the number of MCMC draws.
theta_init	the initial estimate to use.
theta_prop	the SD of the proposal distribution.
item_init	item parameter estimates. Must be a vector for theta_FB_single(), and a matrix for theta_FB().
resp	a vector containing responses on each item.
ncat	a vector containing the number of response categories of each item.
model	a vector indicating item models of each item, using 1: 1PL model 2: 2PL model 3: 3PL model 4: PC model 5: GPC model 6: GR model
prior	an integer indicating the type of prior distribution, using 1: normal distribution 2: uniform distribution
prior_parm	a vector containing parameters for the prior distribution.
item_mcmc, items_list	sampled item parameters. Must be a matrix for theta_FB_single(), and a list of matrices for theta_FB().

Details

theta_FB_single() is designed for one item, and theta_FB() is designed for multiple items.

Currently supports unidimensional models.

TestDesign documentation built on Feb. 16, 2023, 7:19 p.m.