A Bayesian Perspective on Hypothesis Testing

Berger J.O. Sellke T. (1987). Testing a point null hypothesis: The irreconcilability of p values and evidence. Journal of the American Statistical Association, 82, 112–139.

Cumming G. (2005). Understanding the average probability of replication: Comment on Killeen (2005). Psychological Science, 16, 1002–1004.

Doros G. Geier A.B. (2005). Probability of replication revisited: Comment on “An alternative to null-hypothesis significance tests.” Psychological Science, 16, 1005–1006.

Edwards W. Lindman H. Savage L.J. (1963). Bayesian statistical inference for psychological research. Psychological Review, 70, 193–242.

Jeffreys H. (1961). Theory of probability. Oxford, England: Oxford University Press.

Killeen P.R. (2005a). An alternative to null-hypothesis significance tests. Psychological Science, 16, 345–353.

Killeen P.R. (2005b). Replicability, confidence, and priors. Psychological Science, 16, 1009–1012.

Macdonald R.R. (2005). Why replication probabilities depend on prior probability distributions: A rejoinder to Killeen (2005). Psychological Science, 16, 1007–1008.

Nickerson R.S. (2000). Null hypothesis statistical testing: A review of an old and continuing controversy. Psychological Methods, 5, 241–301.

O'Hagan A. Forster J. (2004). Kendall's advanced theory of statistics: Vol. 2B. Bayesian inference (2nd ed.). London: Arnold.