Testing fisher, neyman, pearson, and bayes

American Statistician

Volumn 59, Issue 2, 2005, Pages 121-126

  Christensen, Ronald ^a  

^a UNIVERSITY OF NEW MEXICO   (United States)

Author keywords

Confidence; Lindley's paradox; Most powerful test; P values; Significance tests

Indexed keywords

EID: 18144416216     PISSN: 00031305     EISSN: None     Source Type: Journal    
DOI: 10.1198/000313005X20871     Document Type: Article

References (13)

1. Albert, J, (1997), "Teaching Bayes' Rule: A Data-Oriented Approach," The American Statistician, 51, 247-253.
2. Berger, J. O. (2003), "Could Fisher, Jeffreys and Neyman have Agreed on Testing?" Statistical Science, 18, 1-32.
3. Berger, J. O., and Wolpert, R. (1984), The Likelihood Principle, Hayward, CA: Institute of Mathematical Statistics.
4. Berry, D. A. (1997), "Teaching Elementary Bayesian Statistics With Real Applications in Science," The American Statistician, 51, 241-246.
5. _ (2004), "Bayesian Statistics and the Efficiency and Ethics of Clinical Trials," Statistical Science, 19, 175-187.
6. Box, G. E. P. (1980), "Sampling and Bayes' Inference in Scientific Modelling and Robustness," Journal of the Royal Statistical Society, Ser. A, 143, 383-404.
7. Christensen, R. (2003). "Significantly Insignificant F Tests," The American Statistician, 57, 27-32.
8. Ferguson, T. S. (1967), Mathematical Statistics: A Decision Theoretical Approach, New York: Academic Press.
9. Fisher, R. A. (1935), The Design of Experiments (9th ed., 1971), New York: Hafner Press.
10. _ (1956), Statistical Methods and Scientific Inference (3rd. ed., 1973), New York: Hafner Press.
11. Hubbard, R., and Bayarri, M. J. (2003), "Confusion Over Measures of Evidence (p's) Versus Errors (α's) in Classical Statistical Testing, " The American Statistician, 57, 171-177.
12. Lehmann, E. L. (1997), Testing Statistical Hypotheses (2nd ed.), New York: Springer.
13. Moore, D. ( 1997), "Bayes for Beginners? Some Reasons to Hesitate," The American Statistician, 51, 254-261.