The direct use of likelihood for significance testing
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An approach to significance testing by the direct interpretation of likelihood is defined, developed and distinguished from the traditional forms of tail-area testing and Bayesian testing. The emphasis is on conceptual issues. Some theoretical aspects of the new approach are sketched in the two cases of simple vs. simple hypotheses and simple vs. composite hypotheses.
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- Birnbaum, A. (1969) Concepts of statistical evidence. In Philosophy, Science and Method: Essays in Honor of Ernest Nagel. (eds S. Morgenbesser, P. Suppes and M. White) St. Martin's Press, New York.Google Scholar
- Dempster, A. P. (1964) On the diffculties inherent in Fisher's fiducial argument. Journal of the American Statistical Association, 59, 56–66.Google Scholar
- Edwards, A. W. F. (1972) Likelihood. Cambridge University Press, Cambridge.Google Scholar
- Fisher, R. A. (1922) On the mathematical foundations of theoretical statistics. Philosophical Transactions of the Royal Society of London A, 222, 309–68.Google Scholar
- Fisher, R. A. (1958) Statistical methods and scientific inference, 2nd edn. Oliver and Boyd, Edinburgh.Google Scholar