## Properties of Weighted Least Squares Regression for Cutoff Sampling in Establishment Surveys

### by James R. Knaub, Jr.

**Abstract:**Ordinary least squares (OLS) regression gets most of the attention in the statistical literature, but for cases of regression through the origin, say for use with skewed establishment survey data, weighted least squares (WLS) regression is needed. Here will be gathered some information on properties of weighted least squares regression, particularly with regard to regression through the origin for establishment survey data, for use in periodic publications.
**Key Words: ** classical ratio estimator; coefficient of heteroscedasticity; model-based estimation; regression through the origin; regression weights; sample; survey

**Author:**

James R. Knaub, Jr., James.Knaub@eia.doe.gov

**Editor:**Richard G. Graf, rgraf@sunstroke.sdsu.edu

NOTE: This article was revised on November 25, 2013.

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