Changing Statistical Significance with the Amount of Information: The Adaptive α Significance Level
- PMID: 24511173
- PMCID: PMC3912868
- DOI: 10.1016/j.spl.2013.10.018
Changing Statistical Significance with the Amount of Information: The Adaptive α Significance Level
Abstract
We put forward an adaptive alpha which changes with the amount of sample information. This calibration may be interpreted as a Bayes/non-Bayes compromise, and leads to statistical consistency. The calibration can also be used to produce confidence intervals whose size take in consideration the amount of observed information.
Keywords: Bayes-non Bayes compromise; Posterior Probability Principle; Significance Principle; adaptive confidence level; p-value calibration.
References
-
- Abramowitz M, Stegun I. Handbook of Mathematical Functions. 9. New York: Dover Publications; 1972.
-
- Berger JO, Pericchi LR. Objective Bayesian Model Selection. Introduction and Comparisons. In: Lahiri P, editor. Model Selection. Vol. 38. Beachwood, OH: Institute of Mathematical Statistics; 2001. pp. 135–207. Lecture Notes–Monograph Series.
-
- Berger JO, Bayarri MJ, Pericchi LR. The Effective Sample Size. Econometrics Review. 2012 (to appear)
-
- Casella G, Berger RL. Statistical Inference. 2. Pacific Grove, CA: Duxbury Press; 2002.
-
- Cox DR, Hinkley DV. Theoretical Statistics. Boca Raton, FL: Chapman and Hall; 1979.
Grants and funding
LinkOut - more resources
Full Text Sources
Other Literature Sources