Bayesian analysis


Also found in: Encyclopedia, Wikipedia.

Bayesian analysis

A decision analysis which permits the calculation of the probability that one treatment is superior to another based on the observed data and prior beliefs. In Bayesian analysis, subjectivity is not a liability, but rather explicitly allows different opinions to be formally expressed and evaluated.

Bayesian analysis

A decision-making analysis that '…permits the calculation of the probability that one treatment is superior based on the observed data and prior beliefs…subjectivity of beliefs is not a liability, but rather explicitly allows different opinions to be formally expressed and evaluated.' See Algorithm, Critical pathway, Decision analysis.

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.
References in periodicals archive ?
Today's publication of the first-ever Bayesian analysis of weight-loss dietary therapy, based upon data from 17 randomized-controlled trials of 1,797 obese and overweight participants, demonstrates superior weight loss and greater reduction in predicted risk of cardiovascular disease for participants following a low-carbohydrate diet rather than a low-fat diet.
The periconceptional use of some selective serotonin reuptake inhibitors (SSRIs) appears to have no impact on the development of birth defects, but some birth defects occur more frequently among infants of women treated with paroxetine or fluoxetine early in pregnancy, results from a Bayesian analysis demonstrated.
The model structures generated for the closed, open, and desensitized states will be validated 1) by comparison of the QM/MM spectroscopic properties of the model with experimental observations; and 2) by comparison to electron microscopy structures using a Bayesian analysis method recently developed in the host group.
The article "Manage Toward Success" proposes a statistical methodology called Bayesian analysis to orient the enormous amount of acquisition data and evidence to support decision making.
Bayesian analysis of a matched case-control study with expert prior information on both the misclassification of exposure and the exposure-disease association.
Gelman, Carlin, Stern, Dunson, Vehtari, and Rubin present this third edition Bayesian analysis text with both introductory and in-depth components.
Bayesian analysis has gained some of its popularity due to its inherent advantages in the applied loss forecasting context.
He also claims that Bayesian analysis is more common than standard mixed-models analysis (frequentist, employing reduced maximal likelihood estimation), although the latter is extensively used in industry.
A Bayesian analysis of whether your partner is cheating on you requires a hypothesis (cheating), an alternative hypothesis or reason why the underwear would be there, and a prior probability you would have assigned to the cheating hypothesis before finding the underwear.
As will be shown, Bayesian analysis allows the interval to be determined to any desired degree of accuracy.
Bayesian analysis suggested that the time of divergence of RVFV isolates from a most recent common ancestor dated to 1880-1890, the colonial period when the introduction of large concentrations of susceptible sheep and cattle would have facilitated exploitation of a new niche by an unknown progenitor virus.