A Bayesian approach to sample size selection in a multiple hypotheses test for the Bernoulli model

被引：0
|
作者：
Huerta, G
Mendoza, M
机构：
[1] INST TECNOL AUTONOMO MEXICO, DEPT ESTADIST, MEXICO CITY 01000, DF, MEXICO
[2] Univ Nacl Autonoma Mexico, IIMAS, DEPT STAT, MEXICO CITY, DF, MEXICO
来源：
JOURNAL OF APPLIED STATISTICS | 1996年 / 23卷 / 04期
关键词：
D O I：
10.1080/02664769624125
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
The situation where a certain type of seed need to be classified into one of three different categories, according to its germination level, can be formulated as the simultaneous test of three statistical hypotheses. In this paper, the problem of assessing an optimal sample size for the simultaneous test of several hypotheses on a Bernoulli process is studied within the Bayesian framework, and a solution is obtained for a wide class of prior distributions and a logarithmic loss function.
引用
收藏
页码：385 / 394
页数：10
相关论文
共 50 条
  • [1] Bayesian inference in a sample selection model with multiple selection rules
    Rezaee, Alireza
    Ganjali, Mojtaba
    Samani, Ehsan Bahrami
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2024, 53 (12) : 4290 - 4310
  • [2] Sample size determination for Bayesian ANOVAs with informative hypotheses
    Fu, Qianrao
    Moerbeek, Mirjam
    Hoijtink, Herbert
    [J]. FRONTIERS IN PSYCHOLOGY, 2022, 13
  • [3] Dependence of Bayesian Model Selection Criteria and Fisher Information Matrix on Sample Size
    Dan Lu
    Ming Ye
    Shlomo P. Neuman
    [J]. Mathematical Geosciences, 2011, 43 : 971 - 993
  • [4] Dependence of Bayesian Model Selection Criteria and Fisher Information Matrix on Sample Size
    Lu, Dan
    Ye, Ming
    Neuman, Shlomo P.
    [J]. MATHEMATICAL GEOSCIENCES, 2011, 43 (08) : 971 - 993
  • [5] Bayesian inference in a sample selection model
    van Hasselt, Martijn
    [J]. JOURNAL OF ECONOMETRICS, 2011, 165 (02) : 221 - 232
  • [6] An introduction to Bayesian model selection for evaluating informative hypotheses
    van de Schoot, Rens
    Mulder, Joris
    Hoijtink, Herbert
    van Aken, Marcel A. G.
    Dubas, Judith Semon
    de Castro, Bram Orobio
    Meeus, Wim
    Romeijn, Jan-Willem
    [J]. EUROPEAN JOURNAL OF DEVELOPMENTAL PSYCHOLOGY, 2011, 8 (06) : 713 - 729
  • [7] Bayesian model selection of informative hypotheses for repeated measurements
    Mulder, Joris
    Klugkist, Irene
    van de Schoot, Rens
    Meeus, Wim H. J.
    Selfhout, Maarten
    Hoijtink, Herbert
    [J]. JOURNAL OF MATHEMATICAL PSYCHOLOGY, 2009, 53 (06) : 530 - 546
  • [8] Transformation model selection by multiple hypotheses testing
    Lehmann, Ruediger
    [J]. JOURNAL OF GEODESY, 2014, 88 (12) : 1117 - 1130
  • [9] Transformation model selection by multiple hypotheses testing
    Rüdiger Lehmann
    [J]. Journal of Geodesy, 2014, 88 : 1117 - 1130
  • [10] A Bayesian decision theoretic approach to directional multiple hypotheses problems
    Bansal, Naveen K.
    Miescke, Klaus J.
    [J]. JOURNAL OF MULTIVARIATE ANALYSIS, 2013, 120 : 205 - 215
12345