LikelihoodDr Edwards' stimulating and provocative book advances the thesis that the appropriate axiomatic basis for inductive inference is not that of probability, with its addition axiom, but rather likelihood - the concept introduced by Fisher as a measure of relative support amongst different hypotheses. Starting from the simplest considerations and assuming no more than a modest acquaintance with probability theory, the author sets out to reconstruct nothing less than a consistent theory of statistical inference in science. |
Contents
I | 1 |
1 | 43 |
The Method of Support for several parameters | 103 |
Expected information and the distribution of evaluates | 144 |
1 | 162 |
Support tests | 174 |
Miscellaneous topics | 199 |
Epilogue | 211 |
68 | 213 |
References | 219 |
31 | 223 |
Tables of support limits for t and x² | 225 |
163 | 227 |
Common terms and phrases
accept adopt alternative applied appropriate approximation argument Bayes Bayesian binomial boys chapter combined concept conditional consider constant continuous corresponding curve defined derived discussion distribution equal equation estimation estimation theory evaluates example expected experiment expressed fact fiducial figure Fisher formation frequencies function given gives hypothesis ignorance increase independent inference interest interpretation inverse involving iteration Jeffreys known likelihood likelihood ratio matrix maximum mean measure Method of Support natural Normal null hypothesis observed obtained parameter particular population possible Principle prior probability problem proportion quadratic question random reasonable reference regarded relative respect sample score shows similar simply single situation solution statement statistical successes sufficient support curve support function support surface Suppose theorem theory tion transformation trial true variance zero