Keywords and phrases: interval null hypothesis, one-sided test, p-value, Schervish phenomenon, two-sided test.
Received: May 5, 2024; Accepted: June 20, 2024; Published: June 25, 2024
How to cite this article: Michael P. Cohen, Interval null hypotheses when different intervals are considered, Far East Journal of Theoretical Statistics 68(2) (2024), 263-269. https://doi.org/10.17654/0972086324016
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References: [1] Michael P. Cohen, Why not an interval null hypothesis? Journal of Data Science 17(2) (2019), 363-390. [2] Thomas S. Ferguson. Mathematical Statistics: A Decision Theoretic Approach, Academic Press, New York, 1967. [3] S. Hansen and K. Rice, Coherent tests for interval null hypotheses, Amer. Statist. 77 (2023), 20-28. [4] J. H. Kim and A. P. Robinson, Interval-based hypothesis testing and its applications to economics and finance, Econometrics 7(2) (2019), 1-22. [5] E. L. Lehmann and J. P. Romano, Testing Statistical Hypotheses, Springer, New York, 3rd ed., 2005. [6] Mark J. Schervish, P values: what they are and what they are not, Amer. Statist. 50 (1996), 203-206.
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