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Chapter 2: The Survey and Its Imperfections. |
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2.1 The survey objective. |
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2.2 Sources of error in a survey. |
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Chapter 3: General Principles to Assist Estimation. |
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3.2 The importance of auxiliary information. |
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3.3 Desirable features of an auxiliary vector. |
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Chapter 4: The Use of Auxiliary Information under Ideal Conditions. |
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4.2 The Horvitz–Thompson estimator. |
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4.3 The generalized regression estimator. |
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4.4 Variance and variance estimation. |
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4.5 Examples of the generalized regression estimator. |
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Chapter 5: Introduction to Estimation in the Presence of Nonresponse. |
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5.2 Errors caused by sampling and nonresponse. |
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Appendix: Variance and mean squared error under nonresponse. |
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Chapter 6: Weighting of Data in the Presence of Nonresponse. |
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6.1 Traditional approaches to weighting. |
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6.2 Auxiliary vectors and auxiliary information. |
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6.3 The calibration approach: some terminology. |
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6.4 Point estimation under the calibration approach. |
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6.5 Calibration estimators for domains. |
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6.6 Comments on the calibration approach. |
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6.7 Alternative sets of calibrated weights. |
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6.8 Properties of the calibrated weights. |
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Chapter 7: Examples of Calibration Estimators. |
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7.1 Examples of familiar estimators for data with nonresponse. |
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7.2 The simplest auxiliary vector. |
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7.3 One-way classification. |
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7.4 A single quantitative auxiliary variable. |
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7.5 One-way classification combined with a quantitative variable. |
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7.6 Two-way classification. |
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7.7 A Monte Carlo simulation study. |
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Chapter 8 The Combined Use of Sample Information and Population Information. |
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8.1 Options for the combined use of information. |
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8.2 An example of calibration with information at both levels. |
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8.3 A Monte Carlo simulation study of alternative calibration procedures. |
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8.4 Two-step procedures in practice. |
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Chapter 9 Analysing the Bias due to Nonresponse. |
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9.1 Simple estimators and their nonresponse bias. |
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9.2 Finding an efficient grouping. |
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9.3 Further illustrations of the nonresponse bias. |
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9.4 A general expression for the bias of the calibration estimator. |
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9.5 Conditions for near-unbiasedness. |
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9.6 A review of concepts, terms and ideas. |
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Appendix: Proof of Proposition 9.1. |
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Chapter 10: Selecting the Most Relevant Auxiliary Information. |
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10.2 Guidelines for the construction of an auxiliary vector. |
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10.3 The prospects for near-zero bias with traditional estimators. |
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10.4 Further avenues towards a zero bias. |
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10.5 A further tool for reducing the bias. |
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10.6 The search for a powerful auxiliary vector. |
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10.7 Empirical illustrations of the indicators. |
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Chapter 11: Variance and Variance Estimation. |
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11.1 Variance estimation for the calibration estimator. |
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11.2 An estimator for ideal conditions. |
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11.3 A useful relationship. |
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11.4 Variance estimation for the two-step A and two-step B procedures. |
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11.5 A simulation study of the variance estimation technique. |
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11.6 Computational aspects of point and variance estimation. |
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Appendix: Properties of two-phase GREG estimator. |
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12.3 Multiple study variables. |
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12.4 The full imputation approach. |
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12.5 The combined approach. |
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12.6 The full weighting approach. |
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12.7 Imputation by statistical rules. |
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12.8 Imputation by expert judgement or historical data. |
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Chapter 13: Variance Estimation in the Presence of Imputation. |
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13.1 Issues in variance estimation under the full imputation approach. |
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13.2 An identity of combined and fully weighted approaches. |
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13.3 More on the risk of underestimating the variance. |
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13.4 A broader view of variance estimation for the combined approach. |
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13.5 Other issues arising with regard to item nonresponse. |
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13.6 Further comments on imputation. |
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Appendix: Proof of Proposition 13.1. |
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Chapter 14: Estimation Under Nonresponse and Frame Imperfections. |
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14.2 Estimation of the persister total. |
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14.3 Direct estimation of the target population total. |
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