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

  title={Regression analysis with partially labelled regressors: carbon dating of the Shroud of Turin},
  author={Marco Riani and Anthony C. Atkinson and Giulio Fanti and Fabio Crosilla},
  journal={Statistics and Computing},
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… Expand
An instructive inter-laboratory comparison: The 1988 radiocarbon dating of the Shroud of Turin
Abstract We review the statistical method cited in the report of the radiocarbon dating of the Shroud of Turin. Following strict analytical protocol, we find the Shroud data to be heterogeneous,Expand
Statistical and Proactive Analysis of an Inter-Laboratory Comparison: The Radiocarbon Dating of the Shroud of Turin
These analyses suggest that the 1988 radiocarbon dating does not match the current accuracy requirements and it would be interesting to know the accurate age of the Shroud of Turin. Expand
The Shroud of Turin: A Historiographical Approach
Criteria of historical assessment are applied to the Turin Shroud to determine which hypothesis relating to the image formation process is the most likely. To implement this, a ‘Minimal Facts’Expand
Is the Shroud of Turin in Relation to the Old Jerusalem Historical Earthquake
Phillips and Hedges suggested, in the scientific magazine Nature (1989), that neutron radiation could be liable of a wrong radiocarbon dating, while proton radiation could be responsible of theExpand
RETRACTED ARTICLE: Is the Shroud of Turin in relation to the Old Jerusalem historical earthquake?
Phillips and Hedges suggested, in the scientific magazine Nature (1989), that neutron radiation could be liable of a wrong radiocarbon dating, while proton radiation could be responsible of theExpand
Uncovering the sources of DNA found on the Turin Shroud
The analyses detected sequences from multiple subjects of different ethnic origins, which clustered into a number of Western Eurasian haplogroups, including some known to be typical of Western Europe, the Near East, the Arabian Peninsula and the Indian sub-continent. Expand
A comparison of robust methods with small sample experimental data
The goal of this work is to compare alternative approaches to robust regression estimation in a small sample situation, where asymptotics become of very little help. Expand
Monte Carlo method applied to the mechanical dating of the Turin Shroud
Alternative dating methods to radiocarbon have been recently developed to study the Turin Shroud (TS), the linen sheet that according to the tradition enveloped the dead body of Jesus Christ; amongExpand
Mechanical ond opto-chemical dating of the Turin Shroud
The TS (Turin Shroud) is a linen cloth which enveloped the dead body of a tortured and crucified man that is believed by many to be the burial cloth of Jesus Christ. The linen fabric has beenExpand
Analysis of micro-particles vacuumed from the Turin Shroud
The results of some Turin Shroud particles (3 to 30 µm) examination are presented. A research was performed with the aim to classify the particles in order to correlate them with the environmentsExpand


Investigating a Dated Piece of the Shroud of Turin
We present a photomicrographic investigation of a sample of the Shroud of Turin, split from one used in the radiocarbon dating study of 1988 at Arizona. In contrast to other reports onExpand
The use of a similar approach for other kinds of correlated offset (such as overall measurement bias or regional offsets in the calibration curve) is discussed and the implementation of these methods in OxCal v 4.0 is presented. Expand
Formal Statistical Models for Estimating Radiocarbon Calibration Curves
We report on the development and implementation of a model-based statistical method for the estimation of radiocarbon calibration curves using diverse data. The method takes account of uncertainty onExpand
A New Robust Statistical Model for Radiocarbon Data
The general method currently used to analyze radiocarbon data (y) is conditional on the standard deviation (σ), reported by 14C laboratories, which reflects the uncertainty in the dating process.Expand
Radiocarbon dating of the Shroud of Turin
Very small samples from the Shroud of Turin have been dated by accelerator mass spectrometry in laboratories at Arizona, Oxford and Zurich. As controls, three samples whose ages had been determinedExpand
Intcal04 Terrestrial Radiocarbon Age Calibration, 0–26 Cal Kyr BP
A new calibration curve for the conversion of radiocarbon ages to calibrated (cal) ages has been constructed and internationally ratified to replace IntCal98, which extended from 0–24 cal kyr BPExpand
Robust Diagnostic Regression Analysis
This book is about using graphs to understand the relationship between a regression model and the data to which it is fitted. Because of the new way in which models are fitted, for example by leastExpand
Summarizing a Set of Radiocarbon Determinations: A Robust Approach
A general (Bayesian) method for summarizing sets of radiocarbon determinations is presented, combining archaeological a priori considerations with the radiocarbon determinations to obtain dates onExpand
The forward search: theory and data analysis
The Forward Search is a powerful general method, incorporating flexible data-driven trimming, for the detection of outliers and unsuspected structure in data and so for building robust models.Expand
Microscopic and Macroscopic Characteristics of the Shroud of Turin Image Superficiality
The "superficiality" of the Turin Shroud body image is described at the fabric, thread and fiber levels to help formulate future hypotheses about the body image formation process. Expand