CAJ | 학술논문

本研究主要探讨MCMC算法在IRT模型参数估计中的实现及其估计精度。通过模拟多种实验条件（人少题少、人题适中、人多题多、被试数及其参数固定情况下项目数变化、项目数及其参数固定情况下人数变化），考察两参数和叁参数Logistic模型的MCMC算法对其参数估计的精度，并与国际通用测量程序-Bilog程序（E—M算法）进行比较研究。模拟实验研究表明，上述各种实验条件下，MCMC算法均可用于IRT模型参数估计，且其估计的精度均较Bilog程序（E—M算法）高，值得推广。
본연구주요탐토MCMC산법재IRT모형삼수고계중적실현급기고계정도。통과모의다충실험조건（인소제소、인제괄중、인다제다、피시수급기삼수고정정황하항목수변화、항목수급기삼수고정정황하인수변화），고찰량삼수화참삼수Logistic모형적MCMC산법대기삼수고계적정도，병여국제통용측량정서-Bilog정서（E—M산법）진행비교연구。모의실험연구표명，상술각충실험조건하，MCMC산법균가용우IRT모형삼수고계，차기고계적정도균교Bilog정서（E—M산법）고，치득추엄。
This paper demonstrates the MCMC method, which is now widely used in parameter estimation in the IRT model abroad and discusses its application in the parameter estimation of IRT models. M-H algorithm within Gibbs samplings to estimate the parameters of 2PLM and 3PLM under some conditions such as small, medium or large samples was wsed. To test the feasibility and veracity of the MCMC method, the Monte Carlo simulation method was used. The simulation researches show （ 1 ） the MCMC method can be used in the parameter estimation of 2PLM and 3PLM; （2） the MCMC method is better than E-M in the veracity of parameter estimation; （3） the MCMC method will take more time to estimate parameters; （4） the MCMC method can be used to estimate parameters of other IRT.