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Symmetrical treatment of a case of normal correlation

Published online by Cambridge University Press:  24 October 2008

Harold Jeffreys  and
Kehar Singh
Harold Jeffreys
Affiliation:
St John's College, Cambridge
Kehar Singh
Affiliation:
Emmanuel College, Cambridge
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Extract

1. It often happens that the greater parts of two variables x, y may be connected linearly but there may be other disturbances of both. A treatment given by one of us ((1), section 4·42, pp. 216–17) assumes that the other disturbances are independent, as for observational errors. This is not altogether satisfactory because unless the variations of xr, yr are much greater than the standard errors there is an asymmetry in the treatment corresponding to the well-known distinction between the two regression lines.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 1 , January 1972 , pp. 107 - 109
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

REFERENCE

(1)Jeffreys, H.Theory of probability (Oxford Univ. Press, 1969).Google Scholar