Advanced Sampling Methods (7 ECTS)

• Sampling with unequal probabilities of selection.
• Sampling with probabilities proportional to size.
• Sampling weights.
• Parameter estimation methods for unequal probability sampling and calculation of estimator variance.
• Cluster sampling with unequal probabilities.
• Use of auxiliary information in estimation
• Ratio estimator.
• Regression estimator.
• Post-stratification estimator
• Variance estimation in complex sample designs.
• Estimation for subpopulations (Domain estimation).
• Estimation for rare populations.
• Treatment of non-sampling errors.
• Adjustment methods for non-response. Reweighting, Imputation.

Recommended Bibliography

• Academic Notes.
• Papageorgiou, I. (2016). Sampling Theory [Electronic Resource]. Hellenic Academic eBooks and Resources - "Kallipos" Repository. (in Greek). https://repository.kallipos.gr/handle/11419/1296
• Lumley, T. (2010). Complex surveys: A guide to analysis using R [Electronic resource]. Wiley. https://onlinelibrary.wiley.com/doi/book/10.1002/9780470580066
• Lehtonen, R., & Pahkinen, E. (2014). Practical methods for design and analysis of complex surveys [Electronic resource]. Wiley. https://onlinelibrary.wiley.com/doi/book/10.1002/0470091649
• Laaksonen, S. (2018). Survey methodology and missing data [Electronic resource]. Springer International Publishing. https://link.springer.com/book/10.1007/978-3-319-79011-4
• Longford, N. T. (2005). Missing data and small-area estimation [Electronic resource]. Springer London. https://link.springer.com/book/10.1007/1-84628-195-4
• Lu, Y., & Lohr, S. L. (2022). R companion for sampling: Design and analysis, third edition [Electronic resource]. Chapman & Hall. https://math.unm.edu/~luyan/rbook/Rbook.pdf