A BAYESIAN-ANALYSIS OF THE SLOPE RATIO BIOASSAY

The analysis of biological assays has received the attention of statisticians for many years. However, when an indirect assay is considered and a continuous response variable is measured, the standard models lead to the problem of estimating a ratio, which has proved to be rather controversial if th...

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Detalles Bibliográficos
Autor: MENDOZA, M
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1990
País:México
Institución:Universidad Nacional Autónoma de México
Repositorio:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/3621
Acceso en línea:http://hdl.handle.net/11154/3621
Access Level:acceso abierto
Palabra clave:Biology
Mathematical & Computational Biology
Statistics & Probability
BAYESIAN ANALYSIS
BIOASSAY
REGRESSION MODELS
SLOPE RATIO
Descripción
Sumario:The analysis of biological assays has received the attention of statisticians for many years. However, when an indirect assay is considered and a continuous response variable is measured, the standard models lead to the problem of estimating a ratio, which has proved to be rather controversial if the statistical analysis is conducted under the classical approach. In this paper, within the Bayesian framework, the reference posterior distribution of slope ratio is obtained. This is the parameter of interest in a large class of biological assays. The results obtained are provided to avoid the drawbacks of the classical methods and generalize previous Bayesian analysis of the ratio of normal means.