Testing Fisher, Neyman, Pearson, and Bayes

被引:82
作者
Christensen, R [1 ]
机构
[1] Univ New Mexico, Dept Math & Stat, Albuquerque, NM 87131 USA
关键词
confidence; Lindley's paradox; most powerful test; p values; significance tests;
D O I
10.1198/000313005X20871
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 [统计学]; 070103 [概率论与数理统计]; 0714 [统计学];
摘要
This article presents a simple example that illustrates the key differences and similarities between the Fisherian, Neyman-Pearson, and Bayesian approaches to testing. Implications for more complex situations are also discussed.
引用
收藏
页码:121 / 126
页数:6
相关论文
共 13 条
[1]
Teaching Bayes' rule: A data-oriented approach [J].
Albert, J .
AMERICAN STATISTICIAN, 1997, 51 (03) :247-253
[2]
[Anonymous], 1971, The Design of Experiments
[3]
Berger J.O., 1984, LIKELIHOOD PRINCIPLE, V6
[4]
Could Fisher, Jeffreys and Neyman have agreed on testing? [J].
Berger, JO .
STATISTICAL SCIENCE, 2003, 18 (01) :1-12
[5]
Bayesian statistics and the efficiency and ethics of clinical trials [J].
Berry, DA .
STATISTICAL SCIENCE, 2004, 19 (01) :175-187
[6]
[7]
SAMPLING AND BAYES INFERENCE IN SCIENTIFIC MODELING AND ROBUSTNESS [J].
BOX, GEP .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES A-STATISTICS IN SOCIETY, 1980, 143 :383-430
[8]
Significantly insignificant F tests [J].
Christensen, R .
AMERICAN STATISTICIAN, 2003, 57 (01) :27-32
[9]
Ferguson TS., 1967, Mathematical statistics: A decision theoretic approach
[10]
Fisher R.A., 1973, Statistical Methods and Scientific Inference, V3rd