Russell, N., Cook, G. T., Ascough, P. L., Scott, E. Marian. and Dugmore, A. J. (2011). Examining the inherent variability in ΔR. Radiocarbon 53 (2). Vol 53(2), pp. 277-288.

Title
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Title:
Examining the inherent variability in ΔR
Subtitle
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Subtitle:
new methods of presenting ΔR values and implications for MRE studies
Issue
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Issue:
Radiocarbon 53 (2)
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Series:
Radiocarbon
Volume
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Volume:
53 (2)
Number of Pages
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Number of Pages:
198
Page Start/End
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Page Start/End:
277 - 288
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Abstract
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Abstract:
Demonstrates the large range in ΔR values (+34 to -122) that can be obtained from a single, secure archaeological context when using the multiple paired sample approach, despite the fact that the terrestrial entities were of statistically indistinguishable 14C ages, as were the marine samples. This is argued to demonstrate the inherent variability in the ΔR calculations themselves and it is proposed that, together with calculation of mean ΔR, the distribution of ΔR values should be displayed, as - for example - histograms in order to illustrate the full data range. This spread is only apparent when employing a multiple paired sample approach, as the uncertainty derived on a single pair of samples taking account only of the errors on the individual 14C ages will never truly represent the overall variability in ΔR that results from the intrinsic variability in the population of 14C ages in samples that might have been used. Consequently, it is argued that ΔR values and the associated uncertainty calculated from single pairs should be treated with some caution. It is proposed that, where possible when using paired archaeological samples, that a multiple paired approach should be employed as it will test the context security of the material used in the ΔR calculations. When summarizing the values by the weighted average, it is also proposed that the standard error for predicted values should be employed as this will fully encompass the uncertainty of a future ΔR calculation, using different samples for a similar time and location. Finally, future publishing of ΔR values using the histogram format is encouraged, making all of the data available. It is suggested that this will help ensure that ΔR values are comparable across the literature and should provide a framework for standardization of publication methods.\r\n
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Author:
N Russell
Gordon T Cook
Philippa L Ascough
E Marian Scott
Andrew J Dugmore
Year of Publication
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Year of Publication:
2011
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BIAB (biab_online)
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URI: https://journals.uair.arizona.edu/index.php/radiocarbon/article/view/3461
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23 Feb 2013