Weighted likelihood estimation of ability in item response theory
Applications of item response theory, which depend upon its parameter invariance property, require that parameter estimates be unbiased. A new method, weighted likelihood estimation (WLE), is derived, and proved to be less biased than maximum likelihood estimation (MLE) with the same asymptotic vari...
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| Veröffentlicht in: | Psychometrika 1989-09, Vol.54 (3), p.427-450 |
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| container_end_page | 450 |
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| container_issue | 3 |
| container_start_page | 427 |
| container_title | Psychometrika |
| container_volume | 54 |
| creator | WARM, T. A |
| description | Applications of item response theory, which depend upon its parameter invariance property, require that parameter estimates be unbiased. A new method, weighted likelihood estimation (WLE), is derived, and proved to be less biased than maximum likelihood estimation (MLE) with the same asymptotic variance and normal distribution. WLE removes the first order bias term from MLE. Two Monte Carlo studies compare WLE with MLE and Bayesian modal estimation (BME) of ability in conventional tests and tailored tests, assuming the item parameters are known constants. The Monte Carlo studies favor WLE over MLE and BME on several criteria over a wide range of the ability scale. |
| doi_str_mv | 10.1007/BF02294627 |
| format | Article |
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A</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Weighted likelihood estimation of ability in item response theory</atitle><jtitle>Psychometrika</jtitle><date>1989-09-01</date><risdate>1989</risdate><volume>54</volume><issue>3</issue><spage>427</spage><epage>450</epage><pages>427-450</pages><issn>0033-3123</issn><eissn>1860-0980</eissn><coden>PSMTA2</coden><abstract>Applications of item response theory, which depend upon its parameter invariance property, require that parameter estimates be unbiased. A new method, weighted likelihood estimation (WLE), is derived, and proved to be less biased than maximum likelihood estimation (MLE) with the same asymptotic variance and normal distribution. WLE removes the first order bias term from MLE. Two Monte Carlo studies compare WLE with MLE and Bayesian modal estimation (BME) of ability in conventional tests and tailored tests, assuming the item parameters are known constants. 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| identifier | ISSN: 0033-3123 |
| ispartof | Psychometrika, 1989-09, Vol.54 (3), p.427-450 |
| issn | 0033-3123 1860-0980 |
| language | eng |
| recordid | cdi_proquest_journals_1304600521 |
| source | SpringerLink Journals - AutoHoldings; Periodicals Index Online |
| subjects | Biological and medical sciences Fundamental and applied biological sciences. Psychology Psychology. Psychoanalysis. Psychiatry Psychology. Psychophysiology Psychometrics Psychometrics. Statistics. Methodology |
| title | Weighted likelihood estimation of ability in item response theory |
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