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ERIC Number: EJ1111002
Record Type: Journal
Publication Date: 2004-Aug
Pages: 23
Abstractor: As Provided
ISSN: EISSN-2330-8516
The Best Linear Predictor for True Score from a Direct Estimate and Several Derived Estimates. Research Report. ETS RR-04-35
Haberman, Shelby J.; Qian, Jiahe
ETS Research Report Series, Aug 2004
Statistical prediction problems often involve both a direct estimate of a true score and covariates of this true score. Given the criterion of mean squared error, this study determines the best linear predictor of the true score given the direct estimate and the covariates. Results yield an extension of Kelley's formula for estimation of the true score to cases in which covariates are present. The best linear predictor is a weighted average of the direct estimate and of the linear regression of the direct estimate onto the covariates. The weights depends on the reliability of the direct estimate and on the multiple correlation of the true score with the covariates. One application of the best linear predictor is to approximate the human true score from the observed holistic score of an essay and from essay features derived from a computer analysis.
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Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Assessments and Surveys: Graduate Management Admission Test; Test of English as a Foreign Language
Grant or Contract Numbers: N/A