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TestDesign (version 1.0.2)

theta_EB_single: Calculate an empirical Bayes estimate of theta for a single item

Description

Calculate an empirical Bayes estimate of theta for a single item.

Usage

theta_EB_single(
  nx,
  theta_init,
  theta_prop,
  item_parm,
  resp,
  ncat,
  model,
  prior,
  prior_parm
)

Arguments

nx

The number of MCMC draws.

theta_init

A value for initial estimate of theta.

theta_prop

SD of the proposal distribution.

item_parm

A numeric matrix of item parameters.

resp

A numeric vector of item responses.

ncat

A numeric vector of the number of response categories by item.

model

A numeric vector indicating the IRT models of each item (1: 1PL, 2: 2PL, 3: 3PL, 4: PC, 5: GPC, 6: GR).

prior

The type of prior distribution (1: normal, 2: uniform).

prior_parm

A numeric vector of hyperparameters for the prior distribution, c(mu, sigma) or c(ll, ul).