Investigating the Impact of Uncertainty About Item Parameters on Ability Estimation

  title={Investigating the Impact of Uncertainty About Item Parameters on Ability Estimation},
  author={Jinming Zhang},
Asymptotic expansions of the maximum likelihood estimator (MLE) and weighted likelihood estimator (WLE) of an examinee’s ability are derived while item parameter estimators are treated as covariates measured with error. The asymptotic formulae present the amount of bias of the ability estimators due to the uncertainty of item parameter estimators. A numerical example is presented to illustrate how to apply the formulae to evaluate the impact of uncertainty about item parameters on ability… CONTINUE READING

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Unbiased estimators of ability parameters, of their variance, and of their parallel-forms

F. M. Lord
reliability. Psychometrika, • 1983
View 4 Excerpts
Highly Influenced

Applications of item response theory to practical testing problems

F. M. Lord
View 5 Excerpts
Highly Influenced

The asymptotic posterior normality of the latent trait in an IRT model

H. Chang, W. F. Stout
View 3 Excerpts
Highly Influenced

Weighted likelihood estimation of ability in item response

T. A. Warm
theory. Psychometrika, • 1989
View 6 Excerpts
Highly Influenced

Item parameter measurement error in item response theory models. Unpublished doctoral dissertation, Department of Statistics, Rutgers, The State University

X. Song
View 1 Excerpt

Expected response functions

C. Lewis
Essays on item response theory (pp. 163–171) • 2001
View 3 Excerpts

PARSCALE: IRT item analysis and test scoring for rating scale data [Computer software

E. Muraki, R. D. Bock
Scientific Software, International • 1997
View 2 Excerpts

Probability and measure (3rd ed.)

P. Billingsley
View 1 Excerpt

Dealing with uncertainty about item parameters: Expected response functions (ETS Research Report 94-28-ONR)

R. J. Mislevy, M. S. Wingersky, K. M. Sheehan

The effect of uncertainty of item parameter estimation on ability

R. K. Tsutakawa, J. C. Johnson
estimates. Psychometrika, • 1990
View 3 Excerpts

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