The Development of Sample Surveys of Finite Populations

This paper discusses selected topics in the theory and methods of sample surveys which have as their objectives to provide inferences about some characteristics of a finite population (as distinguished from inferences about a causal system which may have produced certain characteristics of the finite population). The paper gives an account of some early developments, considers criteria to guide the choice of sample design, and considers various aspects of probability-sampling designs, including nonsampling error and total survey design. Finally, the paper discusses the role of models in the theory and practice of sample surveys for making inferences about a finite population, and lists some areas for research and development.

[1]  W. G. Cochran.  Laplace's Ratio Estimator , 1978 .

[2]  Frank Yates,et al.  Selection Without Replacement from Within Strata with Probability Proportional to Size , 1953 .

[3]  M. H. Hansen,et al.  The Sampling Procedure of the 1940 Population Census , 1940 .

[4]  T. M. F. Smith,et al.  The Foundations of Survey Sampling: A Review , 1976 .

[5]  Morris H. Hansen,et al.  The Redesign of the Census Current Population Survey , 1955 .

[6]  R. J. Jessen,et al.  Statistical investigation of a sample survey for obtaining farm facts , 1942 .

[7]  Lester R. Frankel,et al.  On the Sample Survey of Unemployment , 1942 .

[8]  Frank Yates,et al.  A review of recent statistical developments in sampling and sampling surveys. , 1946 .

[9]  R. Woodruff.  A Simple Method for Approximating the Variance of a Complicated Estimate , 1971 .

[10]  Morris H. Hansen,et al.  Sample survey methods and theory , 1955 .

[11]  R. Woodruff,et al.  The Use of Rotating Samples in the Census Bureau's Monthly Surveys , 1963 .

[12]  Morris H. Hansen,et al.  THE ESTIMATION AND INTERPRETATION OF GROSS DIFFERENCES AND THE SIMPLE RESPONSE VARIANCE , 1965 .

[13]  Stephen E. Fienberg,et al.  Large‐scale social surveys: Perspectives, problems, and prospects , 1983 .

[14]  Ingram Olkin,et al.  Incomplete data in sample surveys , 1985 .

[15]  P. Mahalanobis.  On large-scale sample surveys , 1944, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.

[16]  V. P. Godambe,et al.  A UNIFIED THEORY OF SAMPLING FROM FINITE POPULATIONS , 1955 .

[17]  Frederick Mosteller,et al.  Representative Sampling, III: The Current Statistical Literature , 1979 .

[18]  P. J. McCarthy,et al.  Replication: an approach to the analysis of data from complex surveys. , 1966, Vital and health statistics. Series 2, Data evaluation and methods research.

[19]  W. Edwards Deming.  Sample design in business research , 1960 .

[20]  M. H. Hansen,et al.  The problem of non-response in sample surveys. , 1946, Journal of the American Statistical Association.

[21]  R. Royall.  On finite population sampling theory under certain linear regression models , 1970 .

[22]  W. Edwards Deming,et al.  On the Efficiency of Deep Stratification in Block Sampling , 1943 .

[23]  C. A. Moser,et al.  Theorie und Technik des Stichprobenverfahrens , 1954 .

[24]  M. H. Hansen.  An Evaluation of Model-Dependent and Probability-Sampling Inferences in Sample Surveys , 1983 .

[25]  K. Brewer.  A MODEL OF SYSTEMATIC SAMPLING WITH UNEQUAL PROBABILITIES , 1963 .

[26]  J. Neyman.  On the Two Different Aspects of the Representative Method: the Method of Stratified Sampling and the Method of Purposive Selection , 1934 .

[27]  W. G. Madow.  On the Theory of Systematic Sampling, II , 1944 .

[28]  J. Neyman.  Contribution to the Theory of Sampling Human Populations , 1938 .

[29]  G. A. Barnard,et al.  Neyman from Life. , 1983 .

[30]  H. A. David.  Contributions to Survey Sampling and Applied Statistics , 1978 .

[31]  D. Horvitz,et al.  A Generalization of Sampling Without Replacement from a Finite Universe , 1952 .

[32]  S. James Press,et al.  International Encyclopedia of Statistics , 1978 .

[33]  J. Durbin,et al.  Design of Multi‐Stage Surveys for the Estimation of Sampling Errors , 1967 .

[34]  Morris H. Hansen,et al.  On the Determination of Optimum Probabilities in Sampling , 1949 .

[35]  T. Postelnicu,et al.  Foundations of inference in survey sampling , 1977 .

[36]  Barbara A. Bailar,et al.  The Effects of Rotation Group Bias on Estimates from Panel Surveys , 1975 .

[37]  W. G. Cochran.  The Use of the Analysis of Variance in Enumeration by Sampling , 1939 .

[38]  Monroe G. Sirken,et al.  Household Surveys with Multiplicity , 1970 .

[39]  A. L. Bowley.  Working-Class Households in Reading , 1913 .

[40]  J. Rao,et al.  Inference From Stratified Samples: Properties of the Linearization, Jackknife and Balanced Repeated Replication Methods , 1981 .

[41]  Beverley D. Causey,et al.  Computerized Method for Approximating the Variance of a Complicated Estimate , 1976 .

[42]  Tore Dalenius.  Sampling in Sweden : contributions to the methods and theories of sample survey practice , 1957 .

[43]  William G. Cochran,et al.  Sampling Theory When the Sampling-Units are of Unequal Sizes , 1942 .

[44]  J. Osborne,et al.  Sampling Errors of Systematic and Random Surveys of Cover-Type Areas , 1942 .

[45]  I. Olkin,et al.  Sampling theory of surveys, with applications , 1955 .

[46]  F. F. Stephan.  History of the Uses of Modern Sampling Procedures , 1948 .

[47]  Frederick Mosteller,et al.  Representative Sampling, IV: The History of the Concept in Statistics, 1895-1939 , 1980 .

[48]  L. Kish,et al.  Inference from Complex Samples , 1974 .

[49]  Roe Goodman,et al.  Controlled Selection—A Technique in Probability Sampling , 1950 .

[50]  P. Whittle,et al.  Lectures and conferences on mathematical statistics and probability , 1952 .

[51]  R. Fisher.  Statistical Methods for Research Workers , 1971 .

[52]  M. H. Hansen,et al.  Sample Survey Methods and Theory. Vol. I. Methods and Applications; Vol. II. Theory , 1954 .

[53]  H. D. Patterson.  Sampling on Successive Occasions with Partial Replacement of Units , 1950 .

[54]  B. Efron.  The jackknife, the bootstrap, and other resampling plans , 1987 .

[55]  W. G. Cochran.  Relative Accuracy of Systematic and Stratified Random Samples for a Certain Class of Populations , 1946 .

[56]  F. Yates,et al.  Sampling Methods for Censuses and Surveys , 1950 .

[57]  J. Neyman,et al.  Research Papers in Statistics. Festschrift for J. Neyman F.N. David editor, assisted by E. Fix. London, New York, Sydney, J. Wiley & Sons, 1966, VIII p. 468 p., 105/–. , 1968, Recherches économiques de Louvain.

[58]  H. F. Smith.  An empirical law describing heterogeneity in the yields of agricultural crops , 1938, The Journal of Agricultural Science.

[59]  Pierre Thionet.  Méthodes statistiques modernes des administrations fédérales aux états-unis , 1946 .

[60]  Ivan P. Fellegi,et al.  Response Variance and its Estimation , 1964 .

[61]  M. H. Hansen,et al.  On the Theory of Sampling from Finite Populations , 1943 .

[62]  J. Neter,et al.  A Study of Response Errors in Expenditures Data from Household Interviews , 1964 .