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p-values for Model Evaluation

A quantitative procedure to decide whether a model provides a good descriptionof data is often based on a specific test statistic and a p-value summarizingboth the data and the statistic's sampling distribution. We provide a Bayesianmotivation for using p-values in the goodness-of-fit problem w...

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Detalles Bibliográficos
Autores principales: Beaujean, Frederik, Caldwell, Allen, Kollár, D, Kröninger, K
Lenguaje:eng
Publicado: CERN 2011
Materias:
Acceso en línea:https://dx.doi.org/10.5170/CERN-2011-006.177
http://cds.cern.ch/record/2203250
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author Beaujean, Frederik
Caldwell, Allen
Kollár, D
Kröninger, K
author_facet Beaujean, Frederik
Caldwell, Allen
Kollár, D
Kröninger, K
author_sort Beaujean, Frederik
collection CERN
description A quantitative procedure to decide whether a model provides a good descriptionof data is often based on a specific test statistic and a p-value summarizingboth the data and the statistic's sampling distribution. We provide a Bayesianmotivation for using p-values in the goodness-of-fit problem with no explicitalternative models considered. Some typical pitfalls encountered with commonstatistics are reviewed for Poisson and Gaussian uncertainties. Finally, wepresent a new test statistic for ordered Gaussian data, the runs statistic.
id oai-inspirehep.net-1478285
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2011
publisher CERN
record_format invenio
spelling oai-inspirehep.net-14782852019-09-30T06:29:59Zdoi:10.5170/CERN-2011-006.177http://cds.cern.ch/record/2203250engBeaujean, FrederikCaldwell, AllenKollár, DKröninger, Kp-values for Model EvaluationParticle Physics - ExperimentDetectors and Experimental TechniquesA quantitative procedure to decide whether a model provides a good descriptionof data is often based on a specific test statistic and a p-value summarizingboth the data and the statistic's sampling distribution. We provide a Bayesianmotivation for using p-values in the goodness-of-fit problem with no explicitalternative models considered. Some typical pitfalls encountered with commonstatistics are reviewed for Poisson and Gaussian uncertainties. Finally, wepresent a new test statistic for ordered Gaussian data, the runs statistic.CERNoai:inspirehep.net:14782852011
spellingShingle Particle Physics - Experiment
Detectors and Experimental Techniques
Beaujean, Frederik
Caldwell, Allen
Kollár, D
Kröninger, K
p-values for Model Evaluation
title p-values for Model Evaluation
title_full p-values for Model Evaluation
title_fullStr p-values for Model Evaluation
title_full_unstemmed p-values for Model Evaluation
title_short p-values for Model Evaluation
title_sort p-values for model evaluation
topic Particle Physics - Experiment
Detectors and Experimental Techniques
url https://dx.doi.org/10.5170/CERN-2011-006.177
http://cds.cern.ch/record/2203250
work_keys_str_mv AT beaujeanfrederik pvaluesformodelevaluation
AT caldwellallen pvaluesformodelevaluation
AT kollard pvaluesformodelevaluation
AT kroningerk pvaluesformodelevaluation