Making the most of what we have: A practical application of multidimensional item response theory in test scoring

被引:68
作者
de la Torre, J
Patz, RJ
机构
[1] Rutgers State Univ, Dept Educ Psychol, Grad Sch Educ, New Brunswick, NJ 08901 USA
[2] RJ Patz Inc, Santa Cruz, CA 95062 USA
关键词
ability estimation; Bayesian; estimation; item response theory; Markov chain Monte Carlo; multidensionality;
D O I
10.3102/10769986030003295
中图分类号
G40 [教育学];
学科分类号
040101 [教育学原理]; 120403 [教育经济与管理];
摘要
This article proposes a practical method that capitalizes on the availability of information front multiple tests measuring correlated abilities given in a single test administration. By simultaneously estimating different abilities with the use of a hierarchical Bayesian framework, more precise estimates for each ability dimension are obtained. The efficiency of the proposed method is most pronounced when highly correlated abilities are estimated from multiple short tests. Employing Markov chain Monte Carlo techniques allows for straightforward estimation of model parameters.
引用
收藏
页码:295 / 311
页数:17
相关论文
共 23 条
[1]
MARGINAL MAXIMUM-LIKELIHOOD ESTIMATION OF ITEM PARAMETERS - APPLICATION OF AN EM ALGORITHM [J].
BOCK, RD ;
AITKIN, M .
PSYCHOMETRIKA, 1981, 46 (04) :443-459
[2]
EXPLAINING THE GIBBS SAMPLER [J].
CASELLA, G ;
GEORGE, EI .
AMERICAN STATISTICIAN, 1992, 46 (03) :167-174
[3]
UNDERSTANDING THE METROPOLIS-HASTINGS ALGORITHM [J].
CHIB, S ;
GREENBERG, E .
AMERICAN STATISTICIAN, 1995, 49 (04) :327-335
[4]
Gamerman D., 1997, MARKOV CHAIN MONTE C
[5]
Gelman A, 2013, BAYESIAN DATA ANAL, DOI DOI 10.1201/9780429258411
[6]
Gilks W., 1996, MARKOV CHAINS MONTE
[7]
Hambleton RK, 1985, ITEM RESPONSE THEORY
[8]
JOHNSON EG, 1994, 23TR20 NAEP
[9]
ABILITY ESTIMATION FOR CONVENTIONAL TESTS [J].
KIM, JK ;
NICEWANDER, WA .
PSYCHOMETRIKA, 1993, 58 (04) :587-599
[10]
ON JOINTLY ESTIMATING PARAMETERS AND MISSING DATA BY MAXIMIZING THE COMPLETE-DATA LIKELIHOOD [J].
LITTLE, RJA ;
RUBIN, DB .
AMERICAN STATISTICIAN, 1983, 37 (03) :218-220