Inverse sampling and triangular sequential designs to compare a small proportion with a reference value.

Víctor Moreno; Isaac Martín; Ferrán Torres; Manuel Horas; José Ríos; Juan R. González

Qüestiió (2002)

  • Volume: 26, Issue: 1-2, page 259-271
  • ISSN: 0210-8054

Abstract

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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.

How to cite

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Moreno, Víctor, et al. "Inverse sampling and triangular sequential designs to compare a small proportion with a reference value.." Qüestiió 26.1-2 (2002): 259-271. <http://eudml.org/doc/40381>.

@article{Moreno2002,
abstract = {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.},
author = {Moreno, Víctor, Martín, Isaac, Torres, Ferrán, Horas, Manuel, Ríos, José, González, Juan R.},
journal = {Qüestiió},
keywords = {Bioestadística; Diseño de experimentos; Tamaño muestral; Muestreo secuencial; Muestreo inverso; sample size; inverse sampling; triangular sequential test},
language = {eng},
number = {1-2},
pages = {259-271},
title = {Inverse sampling and triangular sequential designs to compare a small proportion with a reference value.},
url = {http://eudml.org/doc/40381},
volume = {26},
year = {2002},
}

TY - JOUR
AU - Moreno, Víctor
AU - Martín, Isaac
AU - Torres, Ferrán
AU - Horas, Manuel
AU - Ríos, José
AU - González, Juan R.
TI - Inverse sampling and triangular sequential designs to compare a small proportion with a reference value.
JO - Qüestiió
PY - 2002
VL - 26
IS - 1-2
SP - 259
EP - 271
AB - 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.
LA - eng
KW - Bioestadística; Diseño de experimentos; Tamaño muestral; Muestreo secuencial; Muestreo inverso; sample size; inverse sampling; triangular sequential test
UR - http://eudml.org/doc/40381
ER -

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