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Original Articles

Inference from Stratified Samples: Second-Order Analysis of Three Methods for Nonlinear Statistics

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Pages 620-630 | Received 01 Jun 1983, Published online: 12 Mar 2012

Additional References

  • 1982 . “Agriculture: Quebec” . In 1981 Census of Canada , Ottawa , ON : Statistics Canada . (catalog no. 96–906)
  • Bean , J. A. 1975 . Distribution and Properties of Variance Estimator for Complex Multistage Probability Samples , Washington , DC : U.S. Government Printing Office . Vital and Health Statistics Ser. 2, No. 65
  • Campbell , C. and Meyer , M. “Some Properties of T Confidence Intervals for Survey Data” . Proceedings of the Section on Survey Research Methods . pp. 437 – 442 . American Statistical Association .
  • Dippo , C. S. 1984 . “Variance Estimation for Nonlinear Estimators Based Upon Stratified Samples From Finite Populations” , George Washington University, Dept. of Statistics . unpublished Ph.D. dissertation
  • Dippo , C. S. and Wolter , K. M. “A Comparison of Variance Estimators Using the Taylor Series Approximation” . Proceedings of the Section on Survey Research Methods . pp. 113 – 121 . American Statistical Association .
  • Efron , B. 1982 . The Jackknife, the Bootstrap and Other Resampling Plans , Philadelphia : Society for Industrial and Applied Mathematics .
  • Frankel , M. R. 1971 . Inference From Survey Samples: An Empirical Investigation , Ann Arbor : University of Michigan, Institute for Social Research .
  • Fuller , W. A. 1975 . “Regression Analysis for Sample Survey” . Sankhya , 37 : 117 – 132 . Ser. C
  • Fuller , W. A. 1976 . Introduction to Statistical Time Series , New York : John Wiley .
  • Gurney , M. and Jewett , R. S. 1975 . “Constructing Orthogonal Replications for Variance Estimation” . Journal of the American Statistical Association , 70 : 819 – 821 .
  • Jones , H. L. 1974 . “Jackknife Estimation of Functions of Stratum Means” . Biometrika , 61 : 343 – 348 .
  • Kish , L. and Frankel , M. R. 1974 . “Inference From Complex Samples” . Journal of the Royal Statistical Society , 36 : 1 – 37 . Ser. B, with discussion
  • Krewski , D. 1977 . “Linearization and Replication Methods in Finite Population Sampling” , Carleton University, Dept. of Mathematics and Statistics . unpublished Ph.D. dissertation
  • Krewski , D. and Rao , J. N. K. 1981 . “Inference From Stratified Samples: Properties of the Linearization, Jackknife and Balanced Repeated Replication Methods” . Annals of Statistics , 9 : 1010 – 1019 .
  • Lemeshow , S. and Levy , P. 1978 . “Estimating the Variance of Ratio Estimates in Complex Sample Surveys With Two Primary Units Per Stratum– A Comparison of Balanced Replication and Jackknife Techniques” . Journal of Statistical Computing and Simulation , 8 : 191 – 205 .
  • McCarthy , P. J. 1966 . Replication: An Approach to the Analysis of Data From Complex Surveys , Washington , DC : U.S. Government Printing Office . Vital and Health Statistics Ser. 2, No. 14
  • McCarthy , P. J. 1969 . “Pseudoreplication: Half-Samples” . Review of the International Statistical Institute , 37 : 239 – 264 .
  • McCarthy , P. J. 1979 . “Estimated Variance for the Combined Ratio Estimate: Stratified, Two-Stage Samples” preprint (courtesy of the editor)
  • Quenouille , M. 1956 . “Notes on Bias in Estimation” . Biometrika , 43 : 353 – 360 .
  • Rao , J. N. K. 1969 . “Ratio and Regression Estimators” . In New Developments in Survey Sampling , Edited by: Johnson , N. L. and Smith , H. 213 – 234 . New York : John Wiley .
  • Shah , B. V. , Holt , M. M. and Folsom , R. E. 1977 . “Inference About Regression Models From Sample Survey Data” . Bulletin of the International Statistical Institute , 47 ( 3 ) : 43 – 57 .
  • Wu , C. F. J. “Variance Estimation for the Combined Ratio and Combined Regression Estimators” . Journal of the Royal Statistical Society , 47 (in press), Ser. B
  • Wu , C. F. J. and Deng , L. Y. 1982 . “Estimation of Variance of the Ratio Estimator: An Empirical Study” . In Scientific Inference, Data Analysis and Robustness , Edited by: Box , G. E. P. , Leonard , T. and Wu , C. F. J. 245 – 277 . New York : Academic Press .

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