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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...
Autores principales: | , , , |
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Lenguaje: | eng |
Publicado: |
CERN
2011
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.5170/CERN-2011-006.177 http://cds.cern.ch/record/2203250 |
_version_ | 1780951360426999808 |
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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 |