On the General Theory of Skew Correlation And Non-Linear Regression

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Peerin* has pointed out, a good interpolation curve is usually a bad extra- polation curve.
We might sum up our results for auricular height with age in girls by saying : That the correlation is non-linear, effectively cubic ; heteroscedastic, there being increasing variability with growth ; that while the total height frequency is not very far from normal the array frequencies are slightly heteroclitic, but so very irregular in sign, that probably we are dealing with a case of isocurtic homocl
...isy, to which the sparsity of data in the extreme arrays gives an appearance of anomic heteroclisy.
(10.) Illustration C. — On the Skew Correlation between Size of Cell and Size of Body in Daphnia magna.
Dr. E. Warren has dealt with this point in a memoir published in ' Biometrika,' vol. II., pp. 2.55-9. The resulting regression curve of size of cell for given size of body is very far from linear, and it is quite clear that the correlation is skew. It has already been noted in ' Biometrika ' that the relationship is considerably obscured by the irregularities produced by ecdysis.


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