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.
@article{urn:eudml:doc:40381,
title = {Inverse sampling and triangular sequential designs to compare a small proportion with a reference value.},
journal = {Q\"uestii\'o},
volume = {26},
year = {2002},
pages = {259-271},
zbl = {1040.62067},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40381}
}
Moreno, 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, Tome 26 (2002) pp. 259-271. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40381/