Sample size determination for interval estimation of the prevalence of a sensitive attribute under non-randomized response models.
Br J Math Stat Psychol
; 2024 Feb 26.
Article
en En
| MEDLINE
| ID: mdl-38409814
ABSTRACT
A sufficient number of participants should be included to adequately address the research interest in the surveys with sensitive questions. In this paper, sample size formulas/iterative algorithms are developed from the perspective of controlling the confidence interval width of the prevalence of a sensitive attribute under four non-randomized response models the crosswise model, parallel model, Poisson item count technique model and negative binomial item count technique model. In contrast to the conventional approach for sample size determination, our sample size formulas/algorithms explicitly incorporate an assurance probability of controlling the width of a confidence interval within the pre-specified range. The performance of the proposed methods is evaluated with respect to the empirical coverage probability, empirical assurance probability and confidence width. Simulation results show that all formulas/algorithms are effective and hence are recommended for practical applications. A real example is used to illustrate the proposed methods.
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1
Colección:
01-internacional
Base de datos:
MEDLINE
Idioma:
En
Revista:
Br J Math Stat Psychol
Año:
2024
Tipo del documento:
Article
País de afiliación:
China
Pais de publicación:
ENGLAND
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ESCOCIA
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GB
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GREAT BRITAIN
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INGLATERRA
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REINO UNIDO
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SCOTLAND
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UK
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UNITED KINGDOM