Search results for "Bayes factor"

showing 4 items of 24 documents

Bayesian measures of surprise for outlier detection

2003

From a Bayesian point of view, testing whether an observation is an outlier is usually reduced to a testing problem concerning a parameter of a contaminating distribution. This requires elicitation of both (i) the contaminating distribution that generates the outlier and (ii) prior distributions on its parameters. However, very little information is typically available about how the possible outlier could have been generated. Thus easy, preliminary checks in which these assessments can often be avoided may prove useful. Several such measures of surprise are derived for outlier detection in normal models. Results are applied to several examples. Default Bayes factors, where the contaminating…

Statistics and Probabilitybusiness.industryApplied MathematicsBayesian probabilityPosterior probabilityPattern recognitionBayes factorStatisticsPrior probabilityOutlierNuisance parameterAnomaly detectionArtificial intelligenceStatistics Probability and UncertaintybusinessMathematicsStatistical hypothesis testingJournal of Statistical Planning and Inference
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贝叶斯因子及其在JASP中的实现

2018

Statistical inference plays a critical role in modern scientific research, however, the dominant method for statistical inference in science, null hypothesis significance testing (NHST), is often misunderstood and misused, which leads to unreproducible findings. To address this issue, researchers propose to adopt the Bayes factor as an alternative to NHST. The Bayes factor is a principled Bayesian tool for model selection and hypothesis testing, and can be interpreted as the strength for both the null hypothesis H0 and the alternative hypothesis H1 based on the current data. Compared to NHST, the Bayes factor has the following advantages: it quantifies the evidence that the data provide for…

business.industryAlternative hypothesisBayesian probabilityBayes factorMachine learningcomputer.software_genreBayesian statisticsFrequentist inferenceStatistical inferenceArtificial intelligenceNull hypothesisbusinessGeneral Economics Econometrics and FinancecomputerStatistical hypothesis testingAdvances in Psychological Science
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Natural induction: An objective bayesian approach

2009

The statistical analysis of a sample taken from a finite population is a classic problem for which no generally accepted objective Bayesian results seem to exist. Bayesian solutions to this problem may be very sensitive to the choice of the prior, and there is no consensus as to the appropriate prior to use.

education.field_of_studyAlgebra and Number Theorybusiness.industryApplied MathematicsBayesian probabilityPopulationBayes factorSample (statistics)Machine learningcomputer.software_genreBinomial distributionBayesian statisticsComputational MathematicsEconometricsBayesian hierarchical modelingGeometry and TopologyArtificial intelligencebusinesseducationcomputerAnalysisJeffreys priorMathematicsRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
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A Bayesian Mixed-Methods Analysis of Basic Psychological Needs Satisfaction through Outdoor Learning and Its Influence on Motivational Behavior in Sc…

2017

Research has shown that outdoor educational interventions can lead to students' increased self-regulated motivational behavior. In this study, we searched into the satisfaction of basic psychological needs (BPN), i.e., autonomy support, the learners' experience of competence, and relatedness, both within the peer group and with their teachers, through outdoor learning. From 2014 to 2016, n = 281 students attended “research weeks” at a Student Science Lab in the Alpine National Park Berchtesgaden (Germany). The program is a curriculum-based one-week residential course, centered on a 2-day research expedition. Both before and after the course, students completed a composite questionnaire addr…

mixed methodsbarnBayesian probabilityApplied psychologylcsh:BF1-990050109 social psychologymotivasjonmotivationchildren:Samfunnsvitenskap: 200::Pedagogiske fag: 280 [VDP]ComputingMilieux_COMPUTERSANDEDUCATIONPsychology0501 psychology and cognitive sciencesoutdoor learningCurriculumCompetence (human resources)General Psychologycompetence supportOriginal ResearchContextualization05 social sciencesscience teaching050301 educationPeer groupRandom effects modelPeer reviewutendørs læringBayes factorlæringlcsh:PsychologyBasic needs:Samfunnsvitenskap: 200::Psykologi: 260 [VDP]Psychology0503 educationFrontiers in Psychology
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