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

  • Autores: Víctor Moreno Alvado Árbol académico, Isaac Martín Árbol académico, Ferrán Torres, Manuel Horas, José Ríos, Juan R. González
  • Localización: Questiió: Quaderns d'Estadística, Sistemes, Informatica i Investigació Operativa, ISSN 0210-8054, Vol. 26, Nº. 1-2, 2002, págs. 259-271
  • Idioma: inglés
  • Títulos paralelos:
    • Muestreo inverso y diseños secuenciales triangulares para comparar una pequeña proporción con un valor de referencia
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  • Resumen
    • 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


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