An Introduction to Model-Based Survey Sampling with Applications

This text brings together important ideas on the model-based approach to sample survey, which has been developed over the last twenty years. Suitable for graduate students and professional statisticians, it moves from basic ideas fundamental to sampling to more rigorous mathematical modellingand data analysis and includes exercises and solutions.

Part I: Basics of Model-Based Survey Inference
1. Introduction
2. The Model-Based Approach
3. Homogeneous Populations
4. Stratified Populations
5. Populations with Regression Structure
6. Clustered Populations
7. The General Linear Population Model
Part II: Robust Model-Based Inference
8. Robust Prediction under Model Misspecification
9. Robust Estimation of the Prediction Variance
10. Outlier Robust Prediction
Part III: Applications of Model-Based Survey Inference
11. Inference for Nonlinear Population Parameters
12. Survey Inference via Sub-Sampling
13. Estimation for Multipurpose Surveys
14. Inference for Domains
15. Prediction for Small Areas
16. Model-Based Inference for Distributions and Quantiles
17. Using Transformations in Sample Survey Inference
Exercises