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Asymptotic Properties of the Robustified Jackknifed Estimator IRT

Author(s):
Jones, Douglas H.
Publication Year:
1984
Report Number:
RR-84-41, PSRTR-84-53
Source:
ETS Research Report
Document Type:
Report
Page Count:
21
Subject/Key Words:
Office of Naval Research, United States Air Force Human Resources Laboratory, Error of Measurement, Item Response Theory (IRT), Jackknife Estimation, Maximum Likelihood Statistics, Statistical Analysis, Statistical Bias

Abstract

This report describes several properties of Wainer and Wright's (1980) jackknifed ability estimator. These properties are as follows: the first order asymptotic behavior of the standard jackknife, including consistency properties; the first order asymptotic behavior of the general M-type robustified jackknife including consistency properties and formulas for the standard error; and a small sample distribution-free formula for the standard error of the standard jackknife. (21pp.)

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