Philosophy Dictionary of ArgumentsHome
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| Likelihood: likelihood is probability in statistics. The term is used in the context of numerical density and plausibility, whereas in probability distribution the term “probability” is used._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. | |||
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Gerhard Schurz on Likelihood - Dictionary of Arguments
I 160 Likelihood/Likelihood Intuition/L Intuition/Schurz: according to this intuition, the inverse likelihood p(E : H) is the basic criterion for assessing the plausibility of a hypothesis H given outcome E. Terminology: sometimes this is called inverse likelihood: p(E : H). Likelihood Intuition/Schurz: is not to be confused with the likelihood method, but it is much more basic. Method of likelihood maximization: here it is assumed that the higher the likelihood of E given H, the greater the support of a hypothesis H by an evidence E. Likelihood expectation method: here it is assumed that the support of a hypothesis by an evidence E is greater, the closer E is to the expected value of E formed with the likelihoods of E given H. Point method/Interval method/Likelihood/Schurz: can be further distinguished. Statistics/Philosophy/Schurz: the philosophical problem is much deeper: one can consider statistical inference and testing methods as justified only if one considers the likelihood intuition as justified. >Review/Schurz. I 161 Why should inverse probability be considered as a measure of the plausibility of a hypothesis? There is no answer to this within statistical theory. Because plausibility is a subjective epistemic probability w(H I E) about which statistical theory makes no statements. Likelihood intuition/subjective probability/Schurz: within subjective probability theory, the likelihood intuition is explained by the Principal Principle (correspondence of subjective with objective probability, if the latter is known). >Principal Principle. >Bayes-theorem, >Probability, >Probability theory, >Propensity, >Subjective probability._____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Schu I G. Schurz Einführung in die Wissenschaftstheorie Darmstadt 2006 |
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> Counter arguments against Schurz
> Counter arguments in relation to Likelihood
Ed. Martin Schulz, access date 2024-04-28