Full text: An Introduction to the theory of statistics

XVI.—NORMAL CORRELATION. 
(4) Dickson, J. D. HamirroN, Appendix to (2), Proc. Roy. Soc., vol. xi, 
1886, p. 63. 
(5) Blovnare, F. Y., “On Correlated Averages,” Phil. Mag., 5th Series, 
vol. xxxiv., 1892, p. 190. 
(8) PEARsoN, KARL, ‘Regression, Heredity, and Panmixia,” Phil. Trans. 
Roy. Soc., Series A, vol. clxxxvii., 1896, p. 253. 
(7) Pearson, KARL, “On Lines and Planes of Closest Fit to Systems of Points 
in Space,” Phil. Mag., 6th Series, vol. ii., 1901, p. 559. (On the fitting 
of “ principal axes” and the corresponding planes in the case of more 
than two variables.) 
(8) Pearson, KARL, “On the Influence of Natural Selection on the Variability 
and Correlation of Organs,” Phil. Trans. Roy. Soc., Series A, vol, ce. 
1902, p. 1. (Based on the assumption of normal correlation.) 
(9) PEARSON, KARL, and ALICE LEE, ‘On the Generalised Probable Error in 
Multiple Normal Correlation,” Biometrika, vol. vi., 1908, DP. 59. 
(10) YuLg, G. U., “On the Theory of Correlation,” Jour. Roy. Stat. Soc., 
vol. Ix., 1897, p. 812. 
(11) Yuig, G. U., “On the Theory of Correlation for any number of Variables 
treated by a New System of Notation,” Proc. Roy. Soc., Series A, vol. 
Ixxix., 1907, p. 182. 
(12) SHEPPARD, W. F., “On the Application of the Theory of Error to Cases 
of Normal Distribution and Normal Correlation,” Phil. Trans. Roy. 
Soc., Series A, vol. excii., 1898, p. 101. 
(13) SueppArD, W, F., “On the Galodation of the Double-integral express- 
ing Normal Correlation,” Cambridge Phil. Trans., vol. xix., 1900, p. 23. 
Applications to the Theory of Attributes, etc. 
(14) PEARrsoN, KARL, ‘“On the Correlation of Characters not Quantitatively 
Measurable,” Phil. Trans. Roy. Soc., Series A, vol. exev., 1900, p. 1. 
(Cf. criticism in ref. 3 of Chap. III.) 
(15) PEARSON, KARL, ‘“ On a New Method of Determining Correlation between 
a Measured Character 4 and a Character B, of which only the Percent- 
age of Cases wherein B exceeds (or falls short of) a given Intensity is 
recorded for each grade of 4,” Biometrika, vol. vii., 1909, p. 96. 
(16) PEARSON, KARL, ‘‘On a New Method of Determining Correlation, when 
one Variable is given by Alternative and the other by Multiple 
Categories,” Biometrika, vol. vii., 1910, p. 248. 
See also the memoir (12) by Sheppard. 
Various Methods and their Relation to Normal Correlation. 
(17) Pearson, KARL, ‘‘ On the Theory of Contingency and its Relation to 
Association and Normal Correlation,” Drapers’ Company Research 
Memoirs, Biometric Series I. ; Dulau & Co., London, 1904. 
(18) PEARrsoN, KARL, “On Further Methods of Determining Correlation,” 
Drapers’ Company Research Memoirs, Biometric Series IV. (Methods 
based on correlation of ranks: difference methods.) Dulau & Co., 
London, 1907. 
(19) SpeARrMAN, C., “A Footrule for Measuring Correlation,” Brit. Jour. of 
Psychology, vol. ii., 1906, p. 89. (The suggestion of a *‘ rank ” method : 
see Pearson’s criticism and improved formula in (18) and Spearman’s 
reply on some points in (20).) ) 
(20) SPEARMAN, C., ‘Correlation calculated from Faulty Data,” Brit. Jour. 
of Psychology, vol. iii., 1910, p. 271. 
(21) THORNDIKE, E. L., *“ Empirical Studies in the Theory of Measurement,” 
Archives of Psychology (New York), 1907. 
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