CAJ | 학술논문

项目反应理论一般建立在局部独立的假设之下，当这种假设不能满足时，应采用具有相依性的IRT模型。本文引进了具有相依性的题组模型，同时介绍、实现了项目间相依的探查方法，并采用全新的MCMC算法，自主编程实现了该模型的参数估计。模拟研究表明：当项目间存在相依时，忽视相依的参数估计方法或模型会给参数估计带来较大的不良影响；本文自主编，成功实现了题组模型的参数估计，且估计精度较高；猜测度参数题组模型中的估计精度仍然不是很高，这与标准IRT的3PLM的猜测度参数估计精度不是很高基本一致。
항목반응이론일반건립재국부독립적가설지하，당저충가설불능만족시，응채용구유상의성적IRT모형。본문인진료구유상의성적제조모형，동시개소、실현료항목간상의적탐사방법，병채용전신적MCMC산법，자주편정실현료해모형적삼수고계。모의연구표명：당항목간존재상의시，홀시상의적삼수고계방법혹모형회급삼수고계대래교대적불량영향；본문자주편，성공실현료제조모형적삼수고계，차고계정도교고；시측도삼수제조모형중적고계정도잉연불시흔고，저여표준IRT적3PLM적시측도삼수고계정도불시흔고기본일치。
One important assumption made in standard IRT is the assumption of local independence. Violation of this assumption occurs under some conditions such as testlet or item-bundle in which items have the same stimulation. The testlet response theory is developed to analyze local dependence items within testlets. This paper introduced the testlet response theory, used Q3 index to explore the independence of items and applied MCMC algorithm（ M- H algorithm within Gibbs sampling ）to estimate the parameters of the 3PL testier model. Simulation researches show （ 1 ） the method of simulation in this paper can prove that items in the same testlet are independent while items between different testlets are dependent; （2） a method or model, ignoring independence which fact exits between items, does harm to the estimation of parameters; （3） this paper successfully carried out the estimation of 3PL-testlet model＇ s parameters; （4） the guessing parameter of the 3PL-testlet model is not as accurate as the standard 3PLM.