# 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

## Access Full Article

top## Abstract

top## How to cite

topMoreno, 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.