X.—CORRELATION: ILLUSTRATIONS AND METHOD. 209
Roy. Stat. Soc., vol. xlvii,, 1884, p. 34. (This paper was written
before the invention of the correlation coefficient, but is cited because
the method of Illustration v. is used to separate the periodic from the
secular movement: see especially § ix. on the process of averaging
employed.)
Theory of Correlation in the case of Non-linear Regression,
and Curve or Line fitting generally.
(17) PEARSON, KARL, “On the Systematic Fitting of Curves to Observations
and Measurements,” Biometriko, vol. i. p. 265, and vol. ii. p. 1, 1902,
(The second part is useful for the fitting of curves in cases of non-linear
regression. )
(18) Pearson, Karyn, On the @Qeneral Theory of Skew Correlation and Non-
linear Regression, ‘‘ Drapers’ Co. Research Memoirs : Biometric Series,”
11. ; Dulau & Co., London, 1905. (The ‘f correlation ratio.”)
(19) Pearson, KARL, “ On a Correction to be made to the Correlation Ratio,”
Biometrika, vol. viii., 1911, p. 254.
(20) PearsoN, KArL, “On Lines and Planes of Closest Fit to Systems of
Points in Space,” Phil. Mag., 6th Series, vol. ii., 1901, p. 559,
(21) Pearson, Karn, “On a General Theory of the Method of False
Position,” Phil. Mag., June 1903. “(A method of curve fitting by
the use of trial solutions.)
(22) BLAKEMAN, J., “On Tests for Linearity of Regression in Frequency-
distributions,” Biometrika, vol. iv., 1905, p. 332.
(23) Snow, E. C., “On Restricted Lines and Planes of Closest Fit to Systems
of Points in any number of Dimensions,” Phil. Mag., 6th Series, vol.
xxi., 1911, p. 567.
(24) SvuTsky, E., “On the Criterion of Goodness of Fit of the Regression
Lines and the best Method of Fitting them to the Data,” Jour. Roy.
Stat. Soc., vol. Ixxvii., 1913, pp. 78-84.
Abbreviated Methods of Calculation.
See also references to Chapter XVI.
(25) Harris, J. AkTHUR, ‘‘ A Short Method of Calculating the Coefficient
of Correlation in the case of Integral Variates,” Biometrika, vol. vii.,
1909, p. 214. (Notan approximation, but a true short method.)
(26) HARRIS, J. ARTHUR, ‘‘On the Calculation of Intra-class and Inter-class
Coefficients of Correlation from Class-moments when the Number of
possible Combinations is large,” Biometrika, vol. ix., 1914, pp.
446-472.
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