The Annals of Mathematical Statistics · 1949 · 359 citations · 3 references
Natural SciencesMathematicsCensus AnalysisPopulation StudiesStatisticsEstimation TheoryInferential StatisticsSampling DesignSampling MethodsSampling TechniquesSampling TheoryCorrelation FunctionsRandom SamplingSamplingSampling ErrorSampling Error EstimationStratified Random SamplingStratified SamplingSystematic Sampling
The paper discusses estimating linear sampling error by comparing systematic and stratified random sampling accuracies in one dimension. The authors propose area sampling methods, derive accuracy expressions, and provide examples of sampling error estimation. For large samples, systematic sampling outperforms stratified random sampling, correlation functions are justified, and the study discusses sampling error estimation and population trend issues.
After consideration of the relative accuracies of systematic and stratified random sampling in one dimension the problem of estimation of linear sampling error is discussed. Methods of sampling an area are proposed, and expressions for the accuracies of these methods are derived. These expressions are compared for large samples, with special reference to correlation functions which appear to be theoretically and practically justified, and systematic sampling is found to be more accurate than stratified random sampling in many cases. Methods of estimating sampling errors are again considered, and examples given. The paper concludes with some remarks on the problem of trend in the population sampled.
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Contributions to the Study of Oscillatory Time-Series.
H. S. Booker, M. G. Kendall · Economica · 1946 · 55 citations