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On the linear statistical relationship

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Abstract.

The fitting of lines to data, when the relative precision of the measured data is a known constant, is a problem which is of some interest, for example in comparison of measurement procedures. We examine some ways of treating this problem with a view to clarifying the relationship of solutions with the Maximum Likelihood Estimate.

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Acknowledgement. I am grateful to Hans Schneeweiss for suggesting a strengthened form of the definition of f in Section 4.

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Watson, G. On the linear statistical relationship. Metrika 57, 105–114 (2003). https://doi.org/10.1007/s001840200202

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  • DOI: https://doi.org/10.1007/s001840200202

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