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A General Statistical Framework for Multistage Designs
Stockholm University, Faculty of Science, Department of Mathematics.
Stockholm University, Faculty of Science, Department of Mathematics.
2010 (English)Manuscript (preprint) (Other academic)
Abstract [en]

The efficiency of observational studies may be increased by applying multistage sampling designs. It is however not always transparent how to construct such a design in order to obtain increased efficiency. We here present a general statistical framework for describing and con- structing multistage designs. We also provide tools for efficiency and cost-efficiency comparisons, to facilitate the choice of sampling scheme. The comparisons are based on Fisher information matrices and the results are suggested being presented in graphs, where either efficiency or cost adjusted efficiency is plotted against a normalized measure of cost. The former curve resides in the unit square and is analogous to the receiver operating characteristic curve used for testing.

 

Place, publisher, year, edition, pages
2010.
Keyword [en]
Cost-efficiency, efficient design, Fisher information, Hierarchical multistage model, Multistage sampling
National Category
Probability Theory and Statistics
Research subject
Mathematical Statistics
Identifiers
URN: urn:nbn:se:su:diva-49327OAI: oai:DiVA.org:su-49327DiVA: diva2:377195
Funder
Swedish Research Council, 621-2005-2810Swedish Research Council, 621-2008-4946
Available from: 2010-12-13 Created: 2010-12-13 Last updated: 2010-12-15Bibliographically approved
In thesis
1. Design and analysis of response selective samples in observational studies
Open this publication in new window or tab >>Design and analysis of response selective samples in observational studies
2011 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Outcome dependent sampling may increase efficiency in observational studies. It is however not always obvious how to sample efficiently, and how to analyze the resulting data without introducing bias. This thesis describes a general framework for efficiency calculations in multistage sampling, with focus on what is sometimes referred to as ascertainment sampling. A method for correcting for the sampling scheme in analysis of ascertainment samples is also presented. Simulation based methods are used to overcome computational issues in both efficiency calculations and analysis of data.

Place, publisher, year, edition, pages
Stockholm: Department of Mathematics, Stockholm University, 2011. 68 p.
Keyword
ascertainment, missing data, outcome dependent sampling, response selective samples, sequential design, stochastic EM algorithm
National Category
Probability Theory and Statistics
Research subject
Mathematical Statistics
Identifiers
urn:nbn:se:su:diva-49328 (URN)978-91-7447-201-1 (ISBN)
Public defence
2011-02-04, sal 14, hus 5, Kräftriket, Roslagsvägen 101, Stockholm, 10:00 (English)
Opponent
Supervisors
Note
At the time of doctoral defense, the following paper was unpublished and had a status as follows: Paper 1: Submitted.Available from: 2011-01-13 Created: 2010-12-13 Last updated: 2011-05-26Bibliographically approved

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Citation style
  • apa
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