Calculate a fully Bayesian estimate of theta for a single item.
theta_FB_single(nx, theta_init, theta_prop, item_mcmc, item_init, resp,
ncat, model, prior, prior_parm)The number of MCMC draws.
A value for initial estimate of theta.
SD of the proposal distribution.
A matrix of sampled item parameters for a single item.
A matrix of item parameter estimates (one row per item).
A numeric vector of item responses.
A numeric vector of the number of response categories by item.
A numeric vector indicating the IRT models of each item (1: 1PL, 2: 2PL, 3: 3PL, 4: PC, 5: GPC, 6: GR).
The type of prior distribution (1: normal, 2: uniform).
A numeric vector of hyperparameters for the prior distribution, c(mu, sigma) or c(ll, ul).