- Docente: Daniela Cocchi
- Credits: 10
- SSD: SECS-S/01
- Language: Italian
- Moduli: Daniela Cocchi (Modulo 1) Daniela Cocchi (Modulo 2)
- Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2)
- Campus: Bologna
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Corso:
Second cycle degree programme (LM) in
Statistics, Economics and Business (cod. 8876)
Also valid for Second cycle degree programme (LM) in Statistics, Economics and Business (cod. 8876)
Second cycle degree programme (LM) in Statistical Sciences (cod. 8875)
Learning outcomes
The course offers intermediate and advanced topics in finite population inference. The student will be able to plan a new survey design and to analyze and summarize the obtained information by a survey with advanced theoretical tools
Course contents
Part one
The source of randomness in sampling from finite populations: design based and model based inference. The predictive approach.
Design based inference for structured populations. Sampling of complex units.
Cluster sampling for clusters of equal and different size. Cluster sampling with varying probability, ratio estimation in cluster sampling. Systematic sampling as a special case of cluster sampling.
Two stage sampling with varying probability, simple random sampling in two stage sampling and primary units with constant size.
Small area inference: design based estimators and Best Linear Unbiased Predictors.
The basic superpopulation models: estimators and their variances.
Area level and unit level models for small area inference.
Part two
Approximated bias and variance in design based ratio and regression estimation.
Model assisted design based inference. Generalized regression estimators (GREG) for design-based model-assisted inference. Calibration and balancing.
Multiphase sampling. Consequences of estimating population synthetic quantities in a first sampling phase.
Sampling in space.
Estimation in the presence of non sampling errors.
Readings/Bibliography
A syllabus (by Daniela Cocchi, in Italian) is downloadable. Chapters 1-7 correspond to an introductory course. Download the complete syllabus from the course teaching materials.
The content of the first part goes through Chapters 8, 9, 10, 12 and 13.
Part of the content of the second part is in Chapter 11. Further indications will be provided during the course.
Teaching methods
lectures
Assessment methods
Written and oral test .
Teaching tools
A file with the most important formulae can be downloaded
Office hours
See the website of Daniela Cocchi