Bayesian analysis of radiocarbon dates

If radiocarbon measurements are to be used at all for chronological purposes, we have to use statistical methods for calibration. The most widely used method of calibration can be seen as a simple application of Bayesian statistics, which uses both the information from the new measurement and inform...

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Hovedforfatter: Bronk Ramsey, C
Format: Journal article
Udgivet: University of Arizona 2009
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author Bronk Ramsey, C
author_facet Bronk Ramsey, C
author_sort Bronk Ramsey, C
collection OXFORD
description If radiocarbon measurements are to be used at all for chronological purposes, we have to use statistical methods for calibration. The most widely used method of calibration can be seen as a simple application of Bayesian statistics, which uses both the information from the new measurement and information from the 14C calibration curve. In most dating applications, however, we have larger numbers of 14C measurements and we wish to relate those to events in the past. Bayesian statistics provides a coherent framework in which such analysis can be performed and is becoming a core element in many 14C dating projects. This article gives an overview of the main model components used in chronological analysis, their mathematical formulation, and examples of how such analyses can be performed using the latest version of the OxCal software (v4). Many such models can be put together, in a modular fashion, from simple elements, with defined constraints and groupings. In other cases, the commonly used "uniform phase" models might not be appropriate, and ramped, exponential, or normal distributions of events might be more useful. When considering analyses of these kinds, it is useful to be able run simulations on synthetic data. Methods for performing such tests are discussed here along with other methods of diagnosing possible problems with statistical models of this kind.
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spelling oxford-uuid:bbcb620d-af5c-479c-97e3-9d0c6bdb6e482022-03-27T05:19:33ZBayesian analysis of radiocarbon datesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:bbcb620d-af5c-479c-97e3-9d0c6bdb6e48Social Sciences Division - DaisyUniversity of Arizona2009Bronk Ramsey, CIf radiocarbon measurements are to be used at all for chronological purposes, we have to use statistical methods for calibration. The most widely used method of calibration can be seen as a simple application of Bayesian statistics, which uses both the information from the new measurement and information from the 14C calibration curve. In most dating applications, however, we have larger numbers of 14C measurements and we wish to relate those to events in the past. Bayesian statistics provides a coherent framework in which such analysis can be performed and is becoming a core element in many 14C dating projects. This article gives an overview of the main model components used in chronological analysis, their mathematical formulation, and examples of how such analyses can be performed using the latest version of the OxCal software (v4). Many such models can be put together, in a modular fashion, from simple elements, with defined constraints and groupings. In other cases, the commonly used "uniform phase" models might not be appropriate, and ramped, exponential, or normal distributions of events might be more useful. When considering analyses of these kinds, it is useful to be able run simulations on synthetic data. Methods for performing such tests are discussed here along with other methods of diagnosing possible problems with statistical models of this kind.
spellingShingle Bronk Ramsey, C
Bayesian analysis of radiocarbon dates
title Bayesian analysis of radiocarbon dates
title_full Bayesian analysis of radiocarbon dates
title_fullStr Bayesian analysis of radiocarbon dates
title_full_unstemmed Bayesian analysis of radiocarbon dates
title_short Bayesian analysis of radiocarbon dates
title_sort bayesian analysis of radiocarbon dates
work_keys_str_mv AT bronkramseyc bayesiananalysisofradiocarbondates