A Markov Chain Monte Carlo Approach to Confirmatory Item Factor Analysis

被引:58
作者
Edwards, Michael C. [1 ]
机构
[1] Ohio State Univ, Columbus, OH 43210 USA
关键词
item factor analysis; multidimensional item response theory; Markov chain Monte Carlo; RESPONSE THEORY; MODEL; CONVERGENCE; IRT; DISTRIBUTIONS; MCMC;
D O I
10.1007/s11336-010-9161-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Item factor analysis has a rich tradition in both the structural equation modeling and item response theory frameworks. The goal of this paper is to demonstrate a novel combination of various Markov chain Monte Carlo (MCMC) estimation routines to estimate parameters of a wide variety of confirmatory item factor analysis models. Further, I show that these methods can be implemented in a flexible way which requires minimal technical sophistication on the part of the end user. After providing an overview of item factor analysis and MCMC, results from several examples (simulated and real) will be discussed. The bulk of these examples focus on models that are problematic for current "gold-standard" estimators. The results demonstrate that it is possible to obtain accurate parameter estimates using MCMC in a relatively user-friendly package.
引用
收藏
页码:474 / 497
页数:24
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