NotesFAQContact Us
Search Tips
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ945610
Record Type: Journal
Publication Date: 2011-Oct
Pages: 20
Abstractor: As Provided
Reference Count: 55
ISSN: ISSN-0033-3123
A Geometric Analysis of when Fixed Weighting Schemes Will Outperform Ordinary Least Squares
Davis-Stober, Clintin P.
Psychometrika, v76 n4 p650-669 Oct 2011
Many researchers have demonstrated that fixed, exogenously chosen weights can be useful alternatives to Ordinary Least Squares (OLS) estimation within the linear model (e.g., Dawes, Am. Psychol. 34:571-582, 1979; Einhorn & Hogarth, Org. Behav. Human Perform. 13:171-192, 1975; Wainer, Psychol. Bull. 83:213-217, 1976). Generalizing the approach of Davis-Stober, Dana, and Budescu (Psychometrika 75:521-541, 2010b), I present an analytic method to determine when a choice of fixed weights will incur less mean squared error than OLS as a function of sample size, error variance, and model predictability. Geometrically, I solve for the region of population [beta] that favors a choice of fixed weights over OLS. I derive closed-form upper and lower bounds on the volume of this region, giving tight bounds on the proportion of population [beta] favoring a choice of fixed weights. I illustrate this methodology with several examples and provide a MATLAB[c] (The MathWorks, Matlab software, version 2009b, 2010) programming implementation of the major results. (Contains 2 footnotes and 4 figures.)
Springer. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A