JOURNAL BROWSE
Search
Advanced SearchSearch Tips
Design-Based Properties of Least Square Estimators of Panel Regression Coefficients Based on Complex Panel Data
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Design-Based Properties of Least Square Estimators of Panel Regression Coefficients Based on Complex Panel Data
Kim, Kyu-Seong;
  PDF(new window)
 Abstract
We investigated design-based properties of the ordinary least square estimator(OLSE) and the weighted least square estimator(WLSE) in a panel regression model. Given a complex data we derive the magnitude of the design-based bias of two estimators and show that the bias of WLSE is smaller than that of OLSE. We also conducted a simulation study using Korean welfare panel data in order to compare design-based properties of two estimators numerically. In the study we found the followings. First, the relative bias of OLSE is nearly two times larger than that of WLSE and the bias ratio of OLSE is greater than that of WLSE. Also the relative bias of OLSE remains steady but that of WLSE becomes smaller as the sample size increases. Next, both the variance and mean square error(MSE) of two estimators decrease when the sample size increases. Also there is a tendency that the proportion of squared bias in MSE of OLSE increases as the sample size increase, but that of WLSE decreases. Finally, the variance of OLSE is smaller than that of WLSE in almost all cases and the MSE of OLSE is smaller in many cases. However, the number of cases of larger MSE of OLSE increases when the sample size increases.
 Keywords
Bias ratio;ordinary least square estimator;MSE ratio;relative bias;weighted least square estimator;
 Language
Korean
 Cited by
1.
포함확률비례추출에서 회귀계수 최소제곱추정량의 근사분산,김규성;

Communications for Statistical Applications and Methods, 2012. vol.19. 1, pp.23-32 crossref(new window)
 References
1.
김규성, 이영민, 전병돈 (2009). 패널회귀모형에서 가중치를 활용한 회귀계수 측정, <제2회 한국복지패널 학술대회 논문집>, 413-426.

2.
한국보건사회연구원 (2006). <한국복지패널 1차년도 조사자료 User’s Guide>, 한국보건사회연구원.

3.
Abraham, B. and Ledolter, J. (2006). Introduction to Regression Modeling, Thompson.

4.
Chambers, R. L. and Skinner, C. J. (2003). Analysis of Survey Data, Wiley.

5.
Hill, R. C., Griffiths, W. E. and Lim, G. C. (2008). Principles of Econometrics, Wiley.

6.
Hsiao, C. (2003). Analysis of Panel Data, 2nd Ed., Cambridge Press.

7.
Lohr, S. L. (1989). Sampling: Design and Analysis, Brook.

8.
Sarndal, C. E., Swensson, B. and Wretman, J. (1992). Model Assisted Survey Sampling, Springer.

9.
Skinner, C. J., Holt, D. and Smith, T. M. F. (1989). Analysis of Complex Surveys, Wiley.