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A General Statistical Framework for Multistage Designs
Stockholms universitet, Naturvetenskapliga fakulteten, Matematiska institutionen.
Stockholms universitet, Naturvetenskapliga fakulteten, Matematiska institutionen.
2010 (Engelska)Manuskript (preprint) (Övrigt vetenskapligt)
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.

 

Ort, förlag, år, upplaga, sidor
2010.
Nyckelord [en]
Cost-efficiency, efficient design, Fisher information, Hierarchical multistage model, Multistage sampling
Nationell ämneskategori
Sannolikhetsteori och statistik
Forskningsämne
matematisk statistik
Identifikatorer
URN: urn:nbn:se:su:diva-49327OAI: oai:DiVA.org:su-49327DiVA, id: diva2:377195
Forskningsfinansiär
Vetenskapsrådet, 621-2005-2810Vetenskapsrådet, 621-2008-4946Tillgänglig från: 2010-12-13 Skapad: 2010-12-13 Senast uppdaterad: 2022-02-24Bibliografiskt granskad
Ingår i avhandling
1. Design and analysis of response selective samples in observational studies
Öppna denna publikation i ny flik eller fönster >>Design and analysis of response selective samples in observational studies
2011 (Engelska)Doktorsavhandling, sammanläggning (Övrigt vetenskapligt)
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.

Ort, förlag, år, upplaga, sidor
Stockholm: Department of Mathematics, Stockholm University, 2011. s. 68
Nyckelord
ascertainment, missing data, outcome dependent sampling, response selective samples, sequential design, stochastic EM algorithm
Nationell ämneskategori
Sannolikhetsteori och statistik
Forskningsämne
matematisk statistik
Identifikatorer
urn:nbn:se:su:diva-49328 (URN)978-91-7447-201-1 (ISBN)
Disputation
2011-02-04, sal 14, hus 5, Kräftriket, Roslagsvägen 101, Stockholm, 10:00 (Engelska)
Opponent
Handledare
Anmärkning
At the time of doctoral defense, the following paper was unpublished and had a status as follows: Paper 1: Submitted.Tillgänglig från: 2011-01-13 Skapad: 2010-12-13 Senast uppdaterad: 2022-02-24Bibliografiskt granskad

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Grünewald, MariaHössjer, Ola

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Sannolikhetsteori och statistik

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