Bayes theorem

Bayes’ theorem

a theorem stating the probability of an event occurring if another event has occurred. Bayesian statistics is concerned with the revision of opinion in the light of new information, i.e. hypotheses are set up, tested, and revised in the light of the data collected. On each successive occasion there emerges a different probability of the hypothesis being correct – ‘prior opinions are changed by data, through the operation of Bayes’ theorem, to yield posterior opinions’ (Phillips, 1973).

Bayes theorem

Bayes the·o·rem

(bāyz), the impacts of new data on the evidential merits of competing scientific hypotheses are compared by computing for each the product of the antecedent plausibility (the prior probability) and the likelihood of the current data given that hypothesis (the conditional probability) and rescaling them so that their total is unity (the rescaled values being posterior probabilities).
See also: diagnostic sensitivity, diagnostic specificity, predictive value.

Bayes the·o·rem

(bāyz thē'ŏr-ĕm) A method of calculating statistical probability that combines a prior estimate of probability with statistics derived from subsequent events or experiments. Although it lacks mathematical rigor, it is often used to infer degree of risk in various medical settings.
Synonym(s): bayesian analysis.

Bayes,

Thomas, English mathematician, 1702-1761. Bayes theorem - to determine the impact of new data on the evidential merits of competing scientific hypotheses.

单词	bayes theorem
释义	DictionarySeeBayes' theorem Bayes theorem Bayes’ theorem a theorem stating the probability of an event occurring if another event has occurred. Bayesian statistics is concerned with the revision of opinion in the light of new information, i.e. hypotheses are set up, tested, and revised in the light of the data collected. On each successive occasion there emerges a different probability of the hypothesis being correct – ‘prior opinions are changed by data, through the operation of Bayes’ theorem, to yield posterior opinions’ (Phillips, 1973). Bayes theorem Bayes the·o·rem (bāyz), the impacts of new data on the evidential merits of competing scientific hypotheses are compared by computing for each the product of the antecedent plausibility (the prior probability) and the likelihood of the current data given that hypothesis (the conditional probability) and rescaling them so that their total is unity (the rescaled values being posterior probabilities). See also: diagnostic sensitivity, diagnostic specificity, predictive value. Bayes the·o·rem (bāyz thē'ŏr-ĕm) A method of calculating statistical probability that combines a prior estimate of probability with statistics derived from subsequent events or experiments. Although it lacks mathematical rigor, it is often used to infer degree of risk in various medical settings. Synonym(s): bayesian analysis. Bayes, Thomas, English mathematician, 1702-1761. Bayes theorem - to determine the impact of new data on the evidential merits of competing scientific hypotheses.
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