Regression analysis with partially labelled regressors: carbon dating of the Shroud of Turin

@article{Riani2013RegressionAW,
  title={Regression analysis with partially labelled regressors: carbon dating of the Shroud of Turin},
  author={Marco Riani and Anthony Curtis Atkinson and Giulio Fanti and Fabio Crosilla},
  journal={Statistics and Computing},
  year={2013},
  volume={23},
  pages={551-561}
}
The twelve results from the 1988 radio carbon dating of the Shroud of Turin show surprising heterogeneity. We try to explain this lack of homogeneity by regression on spatial coordinates. However, although the locations of the samples sent to the three laboratories involved are known, the locations of the 12 subsamples within these samples are not. We consider all 387,072 plausible spatial allocations and analyse the resulting distributions of statistics. Plots of robust regression residuals… 

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