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Purpose: |
To gain insight into the theory of design based estimators, in particular the general regression estimator. |
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Topics: |
1) design based approach,
2) simple random and simple random stratified designs,
3) general regression estimator and general regression estimator based weights,
4) special cases of the general regression estimator,
5) bounding g-weights; the Huang Fuller algorithm (optional). |
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Outline of the course: |
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9.00-9.15 |
Introduction |
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9.15-10.30 |
A typical example |
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Part I - 2 slides per page - 3 slides per page - ppt |
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10.30-10.45 |
Coffee |
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10.45-12.00 |
General theory |
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- Sample space, sample design, sample membership indicator
- First and second order inclusion probabilities
- Design expectation and design variance of estimators |
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Part II - 2 slides per page - 3 slides per page - ppt |
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Part III - 2 slides per page - 3 slides per page - ppt |
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Part IV - 2 slides per page - 3 slides per page - ppt |
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12.00-13.30 |
Lunch |
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13.30-15.00 |
General theory applied on the general regression estimators in case of simple random sampling, special cases like post-stratification, ratio-estimators and sample means. |
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Part V - 2 slides per page - 3 slides per page - ppt |
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Part VI - 2 slides per page - 3 slides per page - ppt |
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15.00-15.15 |
Coffee |
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| 15.15-17.00
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General theory applied on the general regression estimator in case of stratified simple random sampling, special cases like combined and separated general regression estimators. Weighting, including bounding weights (optional). |
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Part VII - 2 slides per page - 3 slides per page - ppt |
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| Course holder: |
Robbert H. Renssen, Statistics Netherlands |
| Course material: |
Robbert H. Renssen, A Course in Sampling Theory |
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| Additional reading material: |
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Cochran, W.G. (1977), Sampling Techniques, 3rd-ed. New York: Wiley. |
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Särndal, C.E., Swensson, B., and Wretman J.H. (1992), Model Assisted Survey Sampling, New York: Wiley. |
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Bethlehem, J.G. and Keller, W.J. (1987), “Linear Weighting of Sample Survey data,” Journal of Official Statistics,” 3, 141-153. |
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Lemaître, G. and Dufour, J. (1987), “An integrated Method for Weighting Persons and Families,” Survey Methodology, 13, 199-207. |
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