Activity Number:
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178
- Contributed Poster Presentations: Royal Statistical Society
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Type:
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Contributed
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Date/Time:
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Monday, July 31, 2017 : 10:30 AM to 12:20 PM
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Sponsor:
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Royal Statistical Society
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Abstract #325426
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Title:
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Implementing Monte Carlo Tests with Multiple Thresholds
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Author(s):
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Georg Hahn* and Axel Gandy and Dong Ding
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Companies:
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Imperial College London and Imperial College London and Imperial College London
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Keywords:
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Algorithm ;
Finite time ;
Hypothesis ;
P-value ;
Significance
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Abstract:
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Software packages usually report the significance of statistical tests using p-values. We are interested in computing the significance of a hypothesis H with respect to several thresholds simultaneously -- with the caveat that the p-value p corresponding to H is unknown and can only be approximated using Monte Carlo simulation. Instead of considering a set of thresholds, this poster presents a more general construction which allows to compute a decision of p with respect to user-specified intervals (called "p-value buckets"): Whereas non-overlapping buckets lead to classical decisions in expected infinite runtime, suitably chosen overlapping buckets allow guaranteed decisions in finite time which are reported in a new fashion that extends the widespread */**/*** significance notation.
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Authors who are presenting talks have a * after their name.