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http://dx.doi.org/10.5351/CKSS.2012.19.1.023

Approximate Variance of Least Square Estimators for Regression Coefficient under Inclusion Probability Proportional to Size Sampling  

Kim, Kyu-Seong (Department of Statistics, University of Seoul)
Publication Information
Communications for Statistical Applications and Methods / v.19, no.1, 2012 , pp. 23-32 More about this Journal
Abstract
This paper deals with the bias and variance of regression coefficient estimators in a finite population. We derive approximate formulas for the bias, variance and mean square error of two estimators when we select a fixed-size inclusion probability proportional to the size sample and then estimate regression coefficients by the ordinary least square estimator as well as the weighted least square estimator based on the selected sample data. Necessary and sufficient conditions for the comparison of the two estimators in terms of variance and mean square error are suggested. In addition, a simple example is introduced to numerically compare the variance and mean square error of the two estimators.
Keywords
Approximate bias; approximate variance; inclusion probability proportional to size sampling; ordinary least square estimator; weighted least square estimator;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
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