THEORY OF STATISTICS. REFERENCES. Illustrative Applications, principally to Economic Statistics, and Practical Methods. (1) Yue, G. U., ‘‘ On the Correlation of total Pauperism with Proportion ot Out-relief,” Economic Jour., vol. v., 1895, p. 603, and vol. vi., 1896, p. 613. (2) YuLg, G. U., “An Investigation into the Causes of Changes in Pauperism : in England chiefly during the last two Intercensal Decades,” Jour. Roy. Stat. Soec., vol. Ixii., 1899, p. 249. (Cf. Illustration i.) (3) PEARSON, KARL, ArLicE Lrg, and L. BRAMLEY MooRrE, ‘‘Genetic (reproductive) Selection: Inheritance of Fertility in Man and of Fecundity in Thoroughbred Racehorses,” Phil. Trans. Roy. Soc., Series A, vol. cxcii., 1899, p. 257. (Cf. lllustration ii.) (4) CAVE-BROWNE-CAVE, F. E., “On the Influence of the Time-factor on the Correlation between the Barometric Heights at Stations more than 1000 miles apart,” Proc. Roy. Soc., vol. Ixxiv., 1904, pp. 403-413. (The difference-method of Illustration iv. used.) (5) Hooker, R. H., “On the Correlation of the Marviage-rate with Trade,” Jour. Roy. Stat, Soc., vol. lxiv., 1901, p. 485. (The method of Illustration v.) (6) Hooker, R. H., ¢ On the Correlation of Successive Observations : illus- trated by Corn-prices,” ¢bid., vol. lxviii., 1905, p. 696. (The method of Illustration iv.) (7) HooxkEr, R. H., “The Correlation of the Weather and the Crops,” 4bsd., vol. Ixx., 1907, p. 1. (Cf. Illustration iii.) (8) Norron, J. P., Statistical Studies in the New York Money Market; Macmillan Co., New York, 1902. (Applications to financial statistics : an instantaneous average;method, analogous to that of illustration v., is employed, but the instantaneous average is obtained by an interpolated logarithmic curve.) (9) MarcH, L., ‘‘Comparaison numérique de courbes statistiques,” Jour. de la soctété de statistique de Paris, 1905, pp. 255 and 306. (Uses the methods of Illustrations iv. and v., but obtaining the instantaneous average in the latter case by graphical interpolation.) (10) Youre, G. U., “On the Changes in the Marriage and Birth Rates in England and Wales during the past Half Century, with an Inquiry as to their probable Causes,” Jour. Roy. Stat. Soc., vol. Ixix., 1906, p. 88. (11) HEroN, D., On the Relation of Fertility in Man to Social Status, ‘* Drapers’ Co. Research Memoirs: Studies in National Deterioration,” I. ; Dulau & Co., London, 1906. (12) Jacos, S. M., “On the Correlations of Areas of Matured Crops and the Rainfall,” Mem. Asiatic Soc. Bengal, vol. ii., 1910, p. 847. (18) ““ STupENT,” ¢‘ The Elimination of Spurious Correlation due to Position in Time or Space,” Biometrika, vol. x., 1914, pp. 179-180. (The extension of the difference-method by the use of successive differences.) (14) ANDERSON, O., ‘‘Nochmals iiber ¢ The Elimination of Spurious Correla- tion due to Position in Time or Space,”” Biometrika, vol. x., 1914, pp. 269-279. (Detailed theory of the same extended method.) (15) Cave, BEATRICE M., and KARL PEARSON, ‘‘ Numerical Illustrations of the Variate-difference Correlation Method,” Biometrika, vol. x., 1914, pp. 340-3855. (16) PoynTING, J. H., ‘“ A Comparison of the Fluctuations in the Price of Wheat, and in the Cotton and Silk Imports into Great Britain,” Jour. 208