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Extending Edwards likelihood ratios to simple one sided hypothesis tests. (English) Zbl 1306.62061

Summary: With regard to the one sided hypothesis test, we propose a likelihood ratio that might be viewed as a Bayes/Non-Bayes compromise in the spirit of I. J. Good [Good thinking. The foundations of probability and its applications. Minneapolis: University of Minnesota Press (1983; Zbl 0583.60001)] The influence of A. W. F. Edwards [Likelihood. An account of the statistical concept of likelihood and its application to scientific inference. Cambridge: At the University Press (1972; Zbl 0231.62005)] will also be apparent. Although we will develop some general ideas, most of our effort will focus on tests of a single unknown mean and the specific case of a sample from a normal population with unknown mean and known variance.

MSC:

62F03 Parametric hypothesis testing
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References:

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