Inverse sampling and triangular sequential designs to compare a small proportion with a reference value
PublisherInstitut d'Estadística de Catalunya
Rights accessOpen Access
Inverse sampling and formal sequential designs may prove useful in reducing the sample size in studies where a small population proportion p is compared with a hypothesized reference proportion p0. These methods are applied to the design of a cytogenetic study about chromosomal abnormalities in men with a daughter affected by Turner's syndrome. First it is shown how the calculated sample size for a classical design depends on the parameterization used. Later this sample size is compared with the required sample size in an inverse sampling design and a triangular sequential design using four different parameterizations (absolute differences, log-odds ratio, angular transform and Sprott's transform). The expected savings in sample size, when the alternative hypothesis is true, are 20% of the fixed sample size for the inverse sampling design and 40% for the triangular sequential design.
CitationMoreno Aguado, Víctor; Martín, Isaac; Torres, Ferrán; Horas, Manuel; Ríos, José; González, Juan R. "Inverse sampling and triangular sequential designs to compare a small proportion with a reference value". Qüestiió. 2002, vol. 26, núm. 1-2
ISSN0210-8054 (versió paper)