题名

複雜抽樣調查的資料分析及實務應用-以SAS、STATA為例

并列篇名

Analysis of Complex Survey Data: The Application of SAS and STATA

DOI

10.7014/SRMA.2011040003

作者

侯佩君(Pei-Chun Hou)

关键词

複雜抽樣調查 ; 自由度 ; 設計變項 ; 設計效果 ; 變異數估計 ; complex sample survey ; degree of freedom ; design feature ; design effect ; variance estimation

期刊名称

調查研究-方法與應用

卷期/出版年月

25期(2011 / 04 / 01)

页次

90 - 140

内容语文

繁體中文

中文摘要

在複雜抽樣調查資料廣為應用的今日,研究者仍舊慣常地忽略抽樣設計的特性對統計推論的影響,包括分層、分群及加權等因素;而此將導致偏差的標準誤估計及提高型Ⅰ誤差發生的機率。本文企圖彰顯不同的抽樣設計在變異數估計上的差異,以及此差異對信賴區間與檢定統計量等相關估計及推論上的影響;同時,也介紹SAS及STATA統計軟體在複雜抽樣調查資料上的應用。

英文摘要

Since the analysis of complex sample survey data is widespread nowadays, the effect of sample design features on statistical inference such as stratification, clustering, and weighting should be seriously considered accordingly. However, most analysts routinely ignore this issue, resulting in biased estimates of standard errors, as well as increased possibility of Type Ⅰ errors. This paper attempts to illustrate the impact of sample designs on variance estimation, and thereby confidence intervals and test statistics. Also, appropriate software applications are briefly introduced.

主题分类 社會科學 > 社會科學綜合
参考文献
  1. 侯佩君、杜素豪、廖培珊、洪永泰、章英華(2008)。台灣鄉鎮市區類型之研究。調查研究方法與應用,23,7-32。
    連結:
  2. Neyman, J.1934 "On the Two Different Aspects of the Representative Method: The Method of Stratified Sampling and the Method of Purposive Selection," Journal of the Royal Statistical Society 97: 558–625.
  3. Fisher, Ronald A.1918 "The Correlation between Relatives on the Supposition of Mendelian Inheritance," Transactions of the Royal Society of Edinburgh 52: 399–433.
  4. Kaier, A. N. 1895 "Observations Et Expériences Concernant Des Dénombrements Représentatifs,"Bulletin of the International Statistical Institute 9(2): 176–183.
  5. National Health and Nutrition Examination Survey (NHANES)2009 Frequently Asked Questions on Variance Estimation. Retrieved December 21,2009, from http://www.cdc.gov/nchs/tutorials/nhanes/FAQs.htm.
  6. Fisher, Ronald A.1946 "Testing the Difference between Two Means of Observations of Unequal Precision,"Nature 158: 713-714.
  7. Quenouille, M. H.1949 "Approximation Tests of Correlation in Time Series," Journal of the Royal Statistical Society 11(B): 68–84.
  8. Fisher, Ronald A.1925 Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd.
  9. Binder, D. A.(1983).On the Variances of Asymptotically Normal Estimators from Complex Surveys.International Statistical Review,51,279-292.
  10. Chambers, R. L.,Skinner, C. J.(2003).Analysis of Survey Data.New York:Wiley.
  11. Deming, W. E.(1960).Sample Design in Business Research.New York:Wiley.
  12. Efron, Bradley(1979).Bootstrap Methods: Another Look at the Jackknife.The Annals of Statistics,7,1-26.
  13. Efron, Bradley,Tibshirani, R. J.(1993).An Introduction to the Bootstrap.London:Chapman & Hall.
  14. Fellegi, I. P.(1980).On Adjusting the Pearson Chi-Squared Statistic for Cluster Sampling.Journal of the American Statistical Association,71,665-670.
  15. Frankel, M. R.(1971).Inference from Survey Samples.Ann Arbor, MI:Institute for Social Research, University of Michigan.
  16. Fuller, Wayne A.(2009).Sampling Statistics.Hoboken, New Jersey:Wiley.
  17. Glenn, John A.,Littler, Graham H.(1984).A Dictionary of Mathematics.Towata, New Jersey:Barnes and Noble.
  18. Groves, Robert M.,Fowler, F. J.,Couper, Mick P.,Lepkowski, James M.,Singer, Eleanor,Tourangeau, R.(2009).Survey Methodology.New York:Wiley.
  19. Hansen, M. H.,Hurwitz, W. N.,Madow, W. G.(1953).Sample Survey Methods and Theory.New York:Wiley.
  20. Hansen, M. H.,Hurwitz, W. N.,Madow, W. G.(1953).Sample Survey Methods and Theory.New York:Wiley.
  21. Heeringa, Steve G.,West, Brady,Berglund, Patricia A.(2010).Applied Survey Data Analysis.London:Chapman & Hall.
  22. Kish, Leslie(1957).Confidence Intervals for Clustered Samples.American Sociological Review,22,154-165.
  23. Kish, Leslie(1965).Survey Sampling.New York:Wiley.
  24. Kish, Leslie,Frankel, M. R.(1970).Balanced Repeated Replications for Standard Errors.Journal of the American Statistical Association,65,1071-1094.
  25. Kish, Leslie,Frankel, M. R.(1974).Inference from Complex Samples.Journal of the Royal Statistical Society,36(B),1-37.
  26. Korn, E. L.,Graubard, B. I.(1999).Analysis of Health Surveys.New York:Wiley.
  27. Krewski, D.,Rao, J. N. K.(1981).Inference from Stratified Samples: Properties of Linearization, Jackknife, and Balanced Replication Methods.The Annals of Statistics,9(5),1010-1019.
  28. Lee, E. S.,Forthofer, R. N.(2005).Analyzing Complex Survey Data.Thousand Oaks, CA:Sage.
  29. Lee, Kok-Huat(1972).Partially Balanced Designs for Half Sample Replication Method of Variance Estimation.Journal of the American Statistical Association,67,324-334.
  30. McCarthy, Paul J.(1996).Replication: An Approach to the Analysis of Data From Complex Surveys.National Center and Health Statistics,2(14)
  31. McCarthy, Paul J.(1976).The Use of Balanced Half-Sample Replication in Cross-Validation Studies.Journal of the American Statistical Association,71,596-604.
  32. Nathan, G.,Holt, D.(1980).The Effect of Survey Design on Regression Analysis.Journal of the Royal Statistical Society,42(B),377-386.
  33. Rabe-Hesketh, S.,Skrondal, A.(2006).Multilevel Modelling of Complex Survey Data.Journal of the Royal Statistical Society,169(A),805-827.
  34. Rao, J. N. K.,Scott, A. J.(1987).On Simple Adjustments to Chi-Squared Tests with Sample Survey Data.Annals of Statistics,15,385-397.
  35. Rao, J. N. K.,Scott, A. J.(1984).On Chi-Squared Tests for Multi-Way Contingency Tables with Cell Proportions Estimated from Survey Data.Annals of Statistics,12,46-60.
  36. Rao, J. N. K.,Scott, A. J.(1981).The Analysis of Categorical Data from Complex Sample Surveys: Chi-Squared Tests for Goodness of Fit and Independence in Two Ways Tables.Journal of the American Statistical Association,76,221-230.
  37. Rao, J. N. K.,Scott, A. J.(1992).A Simple Method for the Analysis of Clustered Data.Biometrics,48,577-585.
  38. Rao, J. N. K.,Wu, C. F. J.(1988).Resampling Inference with Complex Survey Data.Journal of the American Statistical Association,83,231-241.
  39. Shao, J.,Wu, C. F. J.(1989).A General Theory for Jackknife Variance Estimation.The Annals of Statistics,17,1176-1197.
  40. Skinner, C. J.,Holt, D.,Smith, T. M. F.(1989).Analysis of Complex Surveys.New York:Wiley.
  41. Thomas, D. R.,Rao, J. N. K.(1987).Small-Sample Comparisons of Level and Power for Simple Goodness-of-Fit Statistics Under Cluster Sampling.Journal of the American Statistical Association,82,630-636.
  42. Toothaker, L. E.,Miller, L.(1996).Introductory Statistics for the Behavioral Sciences.Pacific Grove, CA:Brooks/Cole.
  43. Wolter, Kirk M.(2007).Introduction to Variance Estimation.New York:Springer-Verlag.
被引用次数
  1. 蔡奇霖(2022)。雙底冊電話抽樣調查之事後校正:聯立方程式法之理論與實務。台灣政治學刊,26(1),1-55。
  2. 侯佩君(2023)。雙底冊電話調查合併組合加權處理之比較分析。選舉研究,30(1),43-88+ap1。