Description
Taylor & Francis Ltd Sampling Methodologies With Applications 2000 Edition by Poduri S.R.S. Rao
Sampling methods are integral to the design of surveys and experiments, to the validity of results, and thus to the study of statistics, social science, and a variety other disciplines that use statistical data. Yet most of the available texts on the subject are either quite advanced and theoretical or too applied, descriptive, and lacking statistical results.Sampling Methodologies with Applications offers a balanced, practical treatment of the techniques and applications of the commonly used procedures for sampling from finite populations. It keeps mathematics to a minimum, but does not avoid them entirely: it features the principle results within the text but provides their derivations in the Appendices to each chapter. In an easily followed, step-by-step presentation, the author motivates each topic with illustrations followed by examples and exercises. All of these are constructed from everyday, practical situations covering a wide variety of topics, from scholastic aptitude tests to healthcare expenditures and presidential elections. Why wade through advanced, theoretical tomes when what you need is straightforward, practical information? Why risk missing important statistical results often omitted from more basic texts? Sampling Methodologies with Applications has everything you need, presented clearly and logically for quick access to topics central to actual practice. INTRODUCTIONCensuses and SurveysTypes of SurveysSampling FrameQuestionnaires, Interviews, and Sample SizesProbability SamplingNonprobability SamplingSampling in PracticeSIMPLE RANDOM SAMPLING: ESTIMATION OF MEANS AND TOTALSPopulation Total, Mean and VarianceSampling without ReplacementSample Mean and VarianceProperties of Simple Random SamplingUnbiasedness of the Sample Mean and VarianceStandard Error of the Sample MeanDistribution of the Sample MeanConfidence Limits for the MeanEstimating the TotalCoefficient of Variation of the Sample MeanSample Size DeterminationSample Sizes for Individual GroupsSIMPLE RANDOM SAMPLING: RELATED TOPICSBias, Variance and Mean Square Error (MSE) of an EstimatorPrecision, Accuracy and ConsistencyCovariance and CorrelationLinear Combination of Two CharacteristicsSystematic SamplingNonresponseInference Regarding the MeansSampling with ReplacementPROPORTIONS, PERCENTAGES, AND COUNTSTwo ClassesTotal Number or CountConfidence LimitsSample Sizes for Specified RequirementsPolitical and Public PollsEstimation for more than Two ClassesCombining Estimates from SurveysCovariances of ProportionsDifference between ProportionsSample Sizes for more than Two ClassesEstimating Population SizeSTRATIFICATIONNotationEstimation for a Single StratumEstimation of the Population Mean and TotalConfidence LimitsProportions and TotalsPopulation Total and ProportionProportional and Equal Allocation of the SampleNeyman AllocationGains from Neyman AllocationSummary on the Precisions of the AllocationsSample Size Allocation to Estimate ProportionsSample Size to Estimate Means and TotalsSample Sizes to Estimate ProportionsSample Sizes for Minimizing Variance or CostFurther TopicsSUBPOPULATIONSTotals, Means, and VariancesEstimation of the Means and their DifferencesTotals of SubpopulationsSample Sizes for Estimating the Means and TotalsProportions and CountsSubpopulations of a StratumTotals and Means of Subpopulations in StrataStratification: Proportions and Counts of SubpopulationsCLUSTER SAMPLINGClusters of Equal SizesEstimation of the MeansComparison with Simple Random SamplingEstimation of the Standard ErrorOptimum Cluster and Sample SizesUnequal Size ClustersAlternative Estimation with Unequal SizesProportions and PercentagesStratificationUnequal Probability SelectionHorvitz-Thompson EstimatorAlternative ApproachesSAMPLING IN TWO STAGESEqual Size First Stage UnitsEstimating the MeanSample Size Determination - Equal size PSUsUnequal Size Primary UnitsSample Sizes - Unequal Size PSUsRatio Adjustment for the SizesProportions and TotalsUnequal Probability SelectionRATIOS AND RATIO ESTIMATORSBias and Variance of the Sample RatioConfidence Limits for the Ratio of MeansRatio Estimators for the Mean and TotalConfidence Limits for the Mean and TotalDifferences between Ratios, Means, or TotalsRegression through the Origin and the BLUEsRatio Estimation versus StratificationRatio Estimation with StratificationBias ReductionTwo-phase or Double Sampling Ratio EstimatorsRatio Estimator with Unequal Probability SelectionMultivariate Ratio EstimatorREGRESSION ESTIMATIONThe Regression EstimatorEstimation from the SampleClassical Linear RegressionDifferences between Regression EstimatorsRegression Estimation versus StratificationStratification and Regression EstimatorMultiple Regression EstimatorDouble Sampling Regression EstimatorGeneralized Regression and Calibration EstimatorsNONRESPONSE AND REMEDIESEffects of Survey Topics and Interviewing MethodsResponse RatesBias and MSEEstimating ProportionsSubsampling the NonrespondentsEstimating the Missing ObservationsRatio and Regression EstimatorsPoststratification and WeightingResponse Probabilities and WeightingImputationRelated TopicsFURTHER TOPICSLinearizationThe JackknifeThe BootstrapBalanced Repeated Replication (BRR)Small Area EstimationComplex SurveysSOLUTIONS TO EXERCISESBIBLIOGRAPHYAPPENDIX OF TABLESNOTE: Each chapter also contains an Introduction, Exercises and Appendix