2.8 Summary: Chapter 2

The differences are philosophical, including as pertains to the role of probability; pedagogical, in particular as relates to the use of inference to inform decision making; and methodological. Although at methodological level, the debate has become considerably muted, except for some aspects of inference, with the recognition that each approach has a great deal to contribute to statistical practice ((Good 1992), (M. J. Bayarri and Berger 2004), (R. Kass 2011)). As Bradly Efron said “Computer-age statistical inference at its most successful combines elements of the two philosophies” (Efron and Hastie 2016, p.~ 35-36).

References

Bayarri, M. J., and J. Berger. 2004. “The Interplay of Bayesian and Frequentist Analysis.” Statistical Science 19 (1): 58–80.
Efron, Bradley, and Trevor Hastie. 2016. Computer Age Statistical Inference. Vol. 5. Cambridge University Press.
Good, I. J. 1992. “The Bayes/Non Bayes Compromise: A Brief Review.” Journal of the American Statistical Association 87 (419): 597–606.
Kass, R. 2011. “Statistical Inference: The Big Picture.” Statistical Science 26 (1): 1–9.