Two Measures for Sample Size Determination

Social surveys often must estimate the sizes or the proportions of many small groups and differences among them. The discussion of the needed precision of the estimators and the corresponding sample size is difficult, in particular when lay persons are involved. Two measures are developed which help...

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Main Authors: Philippe Eichenberger, Beat Hulliger, Jann Potterat
Format: Article
Language:English
Published: European Survey Research Association 2011-04-01
Series:Survey Research Methods
Subjects:
Online Access:https://ojs.ub.uni-konstanz.de/srm/article/view/4611
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author Philippe Eichenberger
Beat Hulliger
Jann Potterat
author_facet Philippe Eichenberger
Beat Hulliger
Jann Potterat
author_sort Philippe Eichenberger
collection DOAJ
description Social surveys often must estimate the sizes or the proportions of many small groups and differences among them. The discussion of the needed precision of the estimators and the corresponding sample size is difficult, in particular when lay persons are involved. Two measures are developed which help in this discussion of the precision. These measures are called precision resolutions. The first of these measures, the size resolution, is derived from approximations to the probability of not observing a group in a sample and the second measure, the difference resolution, addresses the difference of two proportions. The precision resolutions are operationalisations of the smallest group or difference which can be estimated from a sample. Since they embody elements of statistical hypothesis tests without the need of a complete test specification they are simple to specify and nevertheless contain the necessary elements for sample size determination. The precision resolutions lead to the determination of the sample size for simple random samples but extensions to more complex samples are possible with the help of the design effect. The precision resolutions were developed for the planning of the Swiss Population Survey and this survey as well as the European Social Survey serve as examples of their application.
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spelling doaj.art-d1b20c8bbfc14b9fa2916b148ed21a3a2022-12-22T04:02:32ZengEuropean Survey Research AssociationSurvey Research Methods1864-33612011-04-015110.18148/srm/2011.v5i1.46114494Two Measures for Sample Size DeterminationPhilippe Eichenberger0Beat Hulliger1Jann Potterat2Swiss Federal Statistical OfficeUniversity of Applied Sciences Northwestern SwitzerlandSwiss Federal Statistical OfficeSocial surveys often must estimate the sizes or the proportions of many small groups and differences among them. The discussion of the needed precision of the estimators and the corresponding sample size is difficult, in particular when lay persons are involved. Two measures are developed which help in this discussion of the precision. These measures are called precision resolutions. The first of these measures, the size resolution, is derived from approximations to the probability of not observing a group in a sample and the second measure, the difference resolution, addresses the difference of two proportions. The precision resolutions are operationalisations of the smallest group or difference which can be estimated from a sample. Since they embody elements of statistical hypothesis tests without the need of a complete test specification they are simple to specify and nevertheless contain the necessary elements for sample size determination. The precision resolutions lead to the determination of the sample size for simple random samples but extensions to more complex samples are possible with the help of the design effect. The precision resolutions were developed for the planning of the Swiss Population Survey and this survey as well as the European Social Survey serve as examples of their application.https://ojs.ub.uni-konstanz.de/srm/article/view/4611resolutionsample designprecisionrelevancesmall proportionsmall group
spellingShingle Philippe Eichenberger
Beat Hulliger
Jann Potterat
Two Measures for Sample Size Determination
Survey Research Methods
resolution
sample design
precision
relevance
small proportion
small group
title Two Measures for Sample Size Determination
title_full Two Measures for Sample Size Determination
title_fullStr Two Measures for Sample Size Determination
title_full_unstemmed Two Measures for Sample Size Determination
title_short Two Measures for Sample Size Determination
title_sort two measures for sample size determination
topic resolution
sample design
precision
relevance
small proportion
small group
url https://ojs.ub.uni-konstanz.de/srm/article/view/4611
work_keys_str_mv AT philippeeichenberger twomeasuresforsamplesizedetermination
AT beathulliger twomeasuresforsamplesizedetermination
AT jannpotterat twomeasuresforsamplesizedetermination