Radiocarbon dating standard error


radiocarbon dating standard error-59radiocarbon dating standard error-4radiocarbon dating standard error-63

The best results were obtained by averaging the paired errors. Normal statistical and systematic errors are 0.25 %.

[41 45]/2=43 [51 49]/2=50 [57 59]/2=58 [47 47]/2=47 Error on the mean : [1/(1/43^2 1/50^2 1/58^2 1/47^2)]^0.5 = 24. At first, I believed that the error was due to the fact, that Arizona included the error in delta 13C at a later stage. The total error will be : [0.25^2 0.25^2]^0.5 = 0.356 %. 1/n^2) Error x = [1/(1/a^2 ...1/n^2)]^0.5 Chi^2 = (A-X)^2/a^2 ....(N-x)^2/n^2 Calculations : Arizona : Error = [1/0.0062747]^0.5 = 159.37^0.5 = 12.62 = 13 X^2 test: Maximum 5.99 for 95% confidence and (3-1) degrees of freedom.

Here one "forgets" that quoted errors in AMS are deviated from NBS standards and blanks, measured during the SAME run with a series of targets, from the Shroud.

Note that for samples 2, 3 and 4, the limits were obtained in the usual way.

The reason for a statistical analysis of radiocarbon dates, is the FACT that, theoretically, no experimental result is absolute, and to some extent, subject to chance error. The British Museum, selected the Chi^2 to be the criterion for the assessment of the radiocarbon dating results for the Shroud.