Biometrika centenary: Sample surveys

Biometrika

Volumn 88, Issue 1, 2001, Pages 167-194

  Smith, T M F ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

Analytic inference; Capture recapture; Case control study; Distribution function; Ignorable design; itps design; Missing values; Model based inference; Optimal design; Randomisation inference; Variance estimation

Indexed keywords

EID: 0042062522     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/88.1.167     Document Type: Article

References (126)

1. ALHO, J. M. (1990). Adjusting for nonresponse bias using logistic regression. Biometrika 77, 617-24.
2. ALTHAM, P. M. E. (1976). Discrete variable analysis for individuals grouped into families. Biometrika 63,263-9.
3. ANDERSON, J. A. (1972). Separate sample logistic discrimination. Biometrika 59, 19-35.
4. ARMITAGE, P. (1947). A comparison of stratified with unrestricted random sampling from a finite population. Biometrika 34, 273-80.
5. BEDRICK, E. J. ( 1983). Adjusted chi-squared tests for cross-classified tables of survey data. Biometrika 70,591-5.
6. BELLHOUSE, D. R. & RAO, J. N. K. ( 1975). Systematic sampling in the presence of a trend. Biometrika 62,694-7.
7. BELLHOUSE, D. R., THOMPSON, M. E. & GODAMBE, V. P. (1977). Two-stage sampling with exchangeable prior distributions. Biometrika 64, 97-103.
8. BETHLEHEM, J. G. & SCHUERHOFF, M. H. (1984). Second-order inclusion probabilities in sequential sampling without replacement with unequal probabilities. Biometrika 71, 642-4.
9. BINDER, D. A. (1992). Fitting Cox's proportional hazards model from survey data. Biometrika 79, 139-47.
10. BLIGHT, B. J. N. (1973). Sampling from an autocorrelated finite population. Biometrika 60, 375-85.
11. BRIER, S. S. (1980). Analysis of contingency tables under cluster sampling. Biometrika 67, 591-6.
12. CASSEL, C. M., SäRNDAL, C. E. & WRETMAN, J. H. (1976). Some results on generalised difference estimation and generalized regression estimation for finite populations. Biometrika 63, 615-20.
13. CASTLEDINE, B. J. (1981). A Bayesian analysis of multiple-recapture sampling for a closed population. Biometrika 68, 197-210.
14. CHAMBERS, R. L., DORFMAN, A. H. & HALL, P. (1992). Properties of estimators of the finite population distribution function. Biometrika 79, 577-82.
15. CHAMBERS, R. L. & DUNSTAN, R. (1986). Estimating distribution functions from survey data. Biometrika 73, 597-604.
16. CHAD, M. T. (1982). A general purpose unequal probability sampling plan. Biometrika 69, 653-6.
17. CHEN, J. & QIN, J. (1993). Empirical likelihood estimation for finite populations and the effective use of auxiliary information. Biometrika 80, 107-16.
18. CHEN, X.-H., DEMPSTER, A. P. & Liu, J. S. (1994). Weighted finite population sampling to maximize entropy. Biometrika 81, 457-69.
19. CHENG, C.-S. & Li, K.-C. (1987). Optimality criteria in survey sampling. Biometrika 74, 337-45.
20. CHESHER, A. (1991). The effect of measurement error. Biometrika 78, 451-62.
21. Cox, D. R. & SNELL, E. J. (1979). On sampling and the estimation of rare errors. Biometrika 66, 125-32.
22. DARROCH, J. N. (1958). The multiple-recapture census I. Estimation of a closed population. Biometrika 45, 343-59.
23. DARROCH, J. N. (1959). The multiple-recapture census II. Estimation when there is immigration or death. Biometrika 46, 336-51.
24. DE GRAFT-JOHNSON, K. T. & SEDRANSK, J. (1973). Estimation of domain means using two-phase sampling. Biometrika 60, 387-93.
25. DEVILLE, J.-C. & TILLE, Y. (1998). Unequal probability sampling without replacement through a splitting method. Biometrika 85, 89-101.
26. Do, K.-A. & HALL, P. (1991). On importance sampling for the bootstrap. Biometrika 78, 161-7.
27. DURBIN, J. (1959). A note on the application of Quenouille's method of bias reduction to the estimation of ratios. Biometrika 46, 477-80.
28. FIENBERG, S. E. (1972). The multiple recapture census for closed populations and incomplete 2contingency tables. Biometrika 59, 591-603.
29. GOLDSTEIN, H. (1991). Nonlinear multilevel models with an application to discrete response data. Biometrika 78, 45-51.
30. GUPTA, V. K. & NIGAM, A. G. ( 1987). Mixed orthogonal arrays for variance estimation with unequal numbers of primary selections per stratum. Biometrika 74, 735-42.
31. HARTLEY, H. O. & RAO, J. N. K. (1968). A new estimation theory for sample surveys. Biometrika 55, 547-57.
32. HASTINGS, W. K. (1970). Monte Carlo sampling methods using Markov chains and their applications. Biometrika 57, 97-109.
33. HASTINGS, W. K. (1974). Variance reduction and normality. Biometrika 61, 143-9.
34. HEILBRON, D. (1978). Comparison of estimators of the variance of systematic sampling. Biometrika 65,429-33.
35. HINKLEY, D. V. & Sin, S. (1989). Importance sampling and the nested bootstrap. Biometrika 76, 435-46.
36. JEWELL, N. P. (1985). Least squares regression with data arising from stratified samples of the dependent variable. Biometrika 72, 11-21.
37. JOLLY, G. M. (1965). Explicit estimates from capture-recapture data with both death and immigrationstochastic model. Biometrika 52, 225-48.
38. JONES, A. E. (1948). Systematic sampling of continuous parameter populations. Biometrika 35, 283-90.
39. JONES, H. L. (1974). Jackknife estimation of functions of stratum means. Biometrika 61, 343-8.
40. KENDALL, M. G. (1948). Continuation of Dr. Jones's paper. Biometrika 35, 291-6.
41. KUK, A. Y. C. (1990). Asking sensitive questions indirectly. Biometrika 77, 436-8.
42. KUK, A. Y. C. (1993). A kernel method for estimating finite population distribution functions using auxiliary information. Biometrika 80, 385-92.
43. LIANG, K.-Y. & ZEGER, S. L. (1986). Longitudinal data analysis using generalized linear models. Biometrika 73. 13-22.
44. LITTLE, R. J. A. (1994). A class of pattern-mixture models for normal incomplete data. Biometrika 81, 471-83.
45. LITTLE, R. J. A. & SCHLUCHTER, M. D. (1985). Maximum likelihood estimation for mixed continuous and categorical data with missing values. Biometrika 72, 497-512.
46. MENG, X.-L. & RUBIN, D. B. (1992). Performing likelihood ratio tests with multiply imputed data sets. Biometrika 79, 103-11.
47. MOLINA, C. E. A. & SMITH, T. M. F. (1986). The effect of sample design on the comparison of associations. Biometrika 73, 23-33.
48. MUKERJEE, R. & SENGUPTA, S. (1989). Optimal estimation of finite population total under a general correlated model. Biometrika 76, 789-94.
49. OLKIN, I. (1958). Multivariate ratio estimation for finite populations. Biometrika 45, 154-65.
50. PALMGREN, J. (1987). Precision of double sampling estimators for comparing two probabilities. Biometrika 74. 687-94.
51. PAPAGEORGIOU, I. & KARAKOSTAS, K. X. (1998). On optimal sampling designs for autocorrelated finite populations. Biometrika 85, 482-6.
52. PEARSON, K. (1928). On a method of ascertaining limits to the actual number of marked members in a population of given size from a sample. Biometrika 20A, 149-74.
53. PFEFFERMANN, D. & KRIEGER, A. M. (1991). Poststratification using regression estimators when information on strata means and sizes is missing. Biometrika 78, 409-19.
54. PLACKETT, R. L. & BURMAN, J. P. (1946). The design of optimum multifactorial experiments. Biometrika 33, 305-25.
55. PORTEOUS, B. T. (1987). The mutual independence hypothesis for categorical data in complex sampling schemes. Biometrika 74, 857-64.
56. PRENTICE, R. L. & PYKE, R. (1979). Logistic disease incidence models and case-control studies. Biometrika 66,403-11.
57. QAQISH, B. F., Znou, H. & CAI, J. (1997).. On case-control sampling of clustered data. Biometrika 84, 983-6.
58. QUENOUILLE, M. H. (1956). Notes on bias in estimation. Biometrika 43, 353-60.
59. QUESENDERRY, C. P. & JEWELL, N. P. (1986). Regression analysis based on stratified samples. Biometrika 73, 605-14.
60. RAAB, G. M. & ZHOU, Y. J. (1987). The effect of changes of location on least-squares estimators for sample stratified on the dependent variable. Biometrika 74, 216-9.
61. RAMSEY, F. L. (1979). Parametric models for line transect surveys. Biometrika 66, 505-12.
62. RAO, J. N. K. (1973). On double sampling for stratification and analytical surveys. Biometrika 60, 125-33.
63. RAO, J. N. K., KOVAR, J. G. & MANTEL, H. (1990). On estimating distribution functions and quantiles from survey data using auxiliary information. Biometrika 77, 365-75.
64. RAO, J. N. K. & NIGAM, A. K. (1990). Optimal controlled sampling designs. Biometrika 77, 807-14.
65. RAO, J. N. K. & SHAO, J. (1992). Jackknife variance estimation with survey data under hot deck imputation. Biometrika 79, 811-22.
66. RAO, J. N. K. & SHAO, J. (1999). Modified balanced repeated replication for complex survey data. Biometrika 86, 403-15.
67. RAO, J. N. K. & SITTER, R. R. (1995). Variance estimation under two-phase sampling with application to imputation for missing data. Biometrika 82, 453-60.
68. RAO, J. N. K. & WEBSTER, J. T. (1966). On two methods of bias reduction in the estimation of ratios. Biometrika 53, 571-7.
69. ROBERTS, G., RAO, J. N. K. & KUMAR, S. ( 1987). Logistic regression analysis of sample survey data. Biometrika 74, 1-12.
70. ROTNITZKY, A. & JEWELL, N. P. (1990). Hypothesis testing of regression parameters in semiparametric generalized linear models for cluster correlated data. Biometrika 77, 485-97.
71. ROYALL, R. M. (1970). On finite population sampling theory under certain linear regression models. Biometrika 57, 377-87.
72. ROYALL, R. M. (1976). Likelihood functions in finite population sampling theory. Biometrika 63, 605-14.
73. ROYALL, R. M. & PFEFFERMANN, D. (1982). Balanced samples and robust Bayesian inference in finite population sampling. Biometrika 69, 401-9.
74. RUBIN, D. B. (1976). Inference and missing data. Biometrika 63, 581-92.
75. SAMPFORD, M. R. (1967). On sampling without replacement with unequal probabilities of selection. Biometrika 54,499-513.
76. SANDLAND, R. L. & CORMACK, R. M. (1984). Statistical inference for Poisson and multinomial models for capture-recapture experiments. Biometrika 71, 27-33.
77. SäRNDAL, C. E., SWENSSON, B. & WRETMAN, J. H. (1989). The weighted residual technique for estimating the variance of the general regression estimator of the finite population total. Biometrika 76, 527-37.
78. SCOTT, A. J. & SMITH, T. M. F. (1975). Minimax designs for sample surveys. Biometrika 62, 353-7.
79. SCOTT, A. J. & WILD, C. J. (1997). Fitting regression models to case-control data by maximum likelihood. Biometrika 84, 57-71.
80. SEDER, G. A. F. (1965). A note on the multiple recapture census. Biometrika 52, 249-59.
81. SEDRANSK, J. (1966). An application of sequential sampling to analytical surveys. Biometrika 53, 85-98.
82. SENGUPTA, S. (1989). On Chao's unequal probability sampling plan. Biometrika 76, 192-6.
83. SHUSTER, J. J. & DOWNING, D. -J. (1976). Two-way contingency tables for complex sampling schemes. Biometrika 63, 271-6.
84. SITTER, R. R. (1993). Balanced repeated replications based on orthogonal multi-arrays. Biometrika 80, 211-21.
85. SKINNER, C. J. (1983). Multivariate prediction from selected samples. Biometrika 70, 289-92.
86. SKINNER, C. J. (1988). On conditioning for model-based inference in survey sampling. Biometrika 75, 275-86.
87. STENGER, H. (1990). Asymptotic minimaxity of the ratio strategy. Biometrika 77, 389-95.
88. STONE, M. (1969). The role of experimental randomization in Bayesian statistics: Finite sampling and two Bayesians. Biometrika 56, 681-3.
89. SUGDEN, R. A. (1993). Partial exchangeability and survey sampling inference. Biometrika 80, 451-5.
90. SUGDEN, R. A. & SMITH, T. M. F. (1984). Ignorable and informative designs in survey sampling inference. Biometrika 71, 495-506.
91. SUNDBERG, R. (1994). Precision estimation in sample survey inference: A criterion for choice between variance estimators. Biometrika 81, 157-72.
92. TAM, S. M. (1988). Asymptotically design-unbiased predictors in survey sampling. Biometrika 75, 175-7.
93. TAMURA, H. (1988). Estimation of rare errors using expert judgement. Biometrika 75, 1-9.
94. THOMPSON, S. K. (1991). Stratified adaptive cluster sampling. Biometrika 78, 389-97.
95. TILLE, Y. (1996). An elimination procedure for unequal probability sampling without replacement. Biometrika 63, 238-41.
96. WANG, N. & ROBINS, J. M. (1998). Large-sample theory for parametric multiple imputation procedures. Biometrika 85, 935-48.
97. WANG, S. (1993). Saddlepoint expansions in finite population problems. Biometrika 80, 583-90.
98. WANG, S. & DORFMAN, A. H. (1996). A new estimator for the finite population distribution. Biometrika 83, 639-52.
99. WILD, C. J. (1991). Fitting prospective regression models to case-control data. Biometrika 78, 705-17.
100. Wu, C.-F. J. (1982). Estimation of variance of the ratio estimator. Biometrika 69, 183-9.
101. Wu, C.-F. J. (1991). Balanced repeated replications based on mixed orthogonal arrays. Biometrika 78, 181-8.
102. WYNN, H. P. (1976). Connected finite population sampling plans. Biometrika 63, 208-10.
103. OTHER BLACKWELL, D. & GIRSHICK, M. A. (1954). Theory of Games and Statistical Decisions. New York: Wiley.
104. BOWLEY, A. L. (1906). Address to the Economic Science & Statistics Section of the British Association for the Advancement of Science, York 1906. J. R. Statist. Soc. 69, 540-58.
105. BOWLEY, A. L. (1925). Measurement of the precision attained in sampling. Appendix to the Report on the representative method in statistics. In Bulletin de l'Institut International de Statistique: Proceedings of the 16th Session (Rome), Book 1. The Hague: International Statistical Institute.
106. BREWER, K. W. R. (1963). A model of systematic sampling with unequal probabilities. Aust. J. Statist. 5, 5-13.
107. COCHRAN, W. G. (1946). Relative accuracy of systematic and stratified random samples for a certain class of populations. Ann. Math. Statist. 17, 164-77.
108. COCHRAN, W. G. (1977). Sampling Techniques. New York: Wiley.
109. DURBIN, J. ( 1967). Design of multi-stage surveys for the estimation of sampling errors. Appl. Statist. 16,152-64.
110. ERICSON, W. A. (1969). Subjective Bayesian models in sampling finite populations. J. R. Statist. Soc. B 31, 195-233.
111. GODAMBE, V. P. (1955). A unified theory of sampling from finite populations. J. R. Statist. Soc. B 17, 269-78.
112. HANSEN, M. H. & HURWITZ, W. N. (1943). On the theory of sampling from finite populations. Ann. Math. Statist. 14, 333-62.
113. HORVITZ, D. G. & THOMPSON, D. J. (1952). A generalization of sampling without replacement from a finite universe. J. Am. Statist. Assoc. 47, 663-85.
114. ISAKI, C. T. & FULLER, W. A. (1982). Survey design under the regression superpopulation model. J. Am. Statist. Assoc. 77, 89-96.
115. KI/ER, A. N. (1897). The representative method of statistical surveys. Norwegian Academy of Science and Letters: The Historical, Philosophical Section, 1897, No. 4.
116. MADOW, W. G. & MADOW, L. H. (1944). On the theory of systematic sampling. Ann. Math. Statist. 15, 1-24.
117. MAHALANOBIS, P. C. (1946). Recent experiments in statistical sampling in the Indian Statistical Institute. J. R. Statist. Soc. 109, 325-70.
118. MCCARTHY, P. J. (1966). Replication: An Approach to the Analysis of Data from Complex Surveys, Vital and Health Statistics, Series 2, Data Evaluation and Methods Research, no. 14. Washington, D.C.: US Department of Health, Education, and Welfare, Public Health Service.
119. NEYMAN, J. (1934). On the two different aspects of the representative method: The method of stratified sampling and the method of purposive selection. J. R. Statist. Soc. 97, 558-606.
120. QUENOUILLE, M. H. (1949). Problems in plane sampling. Ann. Math. Statist. 20, 355-75.
121. RAO, J. N. K., HARTLEY, H. O. & COCHRAN, W. G. (1962). A simple procedure of unequal probability sampling without replacement. J. R. Statist. Soc. B 24, 482-91.
122. RAO, J. N. K. & SCOTT, A. J. (1981). The analysis of categorical data from complex surveys: Chi-squared tests for goodness of fit and independence in two-way tables. J. Am. Statist. Assoc. 76, 221-30.
123. RUBIN, D. B. (1987). Multiple Imputation for Nonresponse in Surveys. New York: Wiley.
124. SEBER, G. A. F. (1982). The Estimation of Animal Abundance and Related Parameters, 2nd ed. London: Griffin.
125. TUKEY, J. W. (1958). Bias and confidence in not-quite large samples (). Ann. Math. Statist. 29, 614.
126. WOLTER, K. M. (1985). Introduction to Variance Estimation. New York: Springer-Verlag.