A Note on Bias Correction in Maximum likelihood Estimation With logistic Discrimination

Technometrics ◽  
1980 ◽  
Vol 22 (4) ◽  
pp. 621-627 ◽  
Author(s):  
G. J. McLachlan
2017 ◽  
Vol 41 (6) ◽  
pp. 456-471 ◽  
Author(s):  
Yinhong He ◽  
Ping Chen ◽  
Yong Li ◽  
Shumei Zhang

Online calibration technique has been widely employed to calibrate new items due to its advantages. Method A is the simplest online calibration method and has attracted many attentions from researchers recently. However, a key assumption of Method A is that it treats person-parameter estimates [Formula: see text] (obtained by maximum likelihood estimation [MLE]) as their true values [Formula: see text], thus the deviation of the estimated [Formula: see text] from their true values might yield inaccurate item calibration when the deviation is nonignorable. To improve the performance of Method A, a new method, MLE-LBCI-Method A, is proposed. This new method combines a modified Lord’s bias-correction method (named as maximum likelihood estimation-Lord’s bias-correction with iteration [MLE-LBCI]) with the original Method A in an effort to correct the deviation of [Formula: see text] which may adversely affect the item calibration precision. Two simulation studies were carried out to explore the performance of both MLE-LBCI and MLE-LBCI-Method A under several scenarios. Simulation results showed that MLE-LBCI could make a significant improvement over the ML ability estimates, and MLE-LBCI-Method A did outperform Method A in almost all experimental conditions.


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