XIII.—SIMPLE SAMPLING OF ATTRIBUTES. 273
(2) WesTERGAARD, H., Die Grundzige der Theorie der Statistik ; Fischer,
Jena, 1890.
(3) EpceworrH, F. Y., Article on the Law of Error” in the Tenth Edition
of the Encyclopedia Britannica, vol. xxviii., 1902, p. 280; or on
“‘ Probability,” Eleventh Edition, vol. xxii. (especially Part IIL,
Pp. 390 et seq. ).
(4) DARBISHIRE, A. D., ‘‘Some Tables for illustrating Statistical Correlation,”
Mem. and Proc. of the Manchester Lit. and Phil. Soc., vol. 1i., 1907.
General : and applications to sex-ratio of births.
(5) Porsson, 8. D., “Sur la proportion des naissances des filles et des
gargons,” Mémoires de Acad. des Sciences, vol. ix., 1829, p. 239.
(Principally theoretical : the statistical illustrations very slight.)
(6) Lexis, W., Zur Theorie der Massenerscheinungen in der menschlichen
Gesellschaft ; Freiburg, 1877.
(7) Lexis, W., dbhandlungen zur Theorie der Bevilkerungs und Moralstati-
stik ; Fischer, Jena, 1903. (Contains, with new matter, reprints of
some of Professor Lexis’ earlier papers in a form convenient for
reference. )
(8) EpceworTH, F.Y., ‘Methods of Statistics,” Jour. Roy. Stat. Soc.,
jubilee volume, 1885, p. 181.
(9) VeNN, JouN, The Logic of Chance, 3rd edn. ; Macmillan, London, 1888.
(Cf. the data regarding the distribution of sexes in families on p. 264,
to which reference was made in § 9.)
(10) Pearson, KARL, ‘Skew Variation in Homogeneous Material,” Phil.
Trans. Roy. Soc., Series A, vol. clxxxvi., 1895, p. 343. (Sections 2 to
6 on the binomial distribution.)
(11) EpceEworTH, F. Y., ‘“ Miscellaneous Applications of the Calculus of
Probabilities,” Jour. Roy. Stat. Soec., vols. Ix., Ixi., 1897-8 (especially
part ii., vol. Ixi. p. 119).
(12) Vicor, H. D., and G. U. YULE, “On the Sex-ratios of Births in the
Registration Districts of England and Wales, 1881-90,” Jour. Roy.
Stat. Soc., vol. Ixix., 1906, p. 576. (Use of the harmonic mean as in
§ 11.)
As regards the sex-ratio, reference may also be made to papers in
vols. v. and vi. of Biometrika by Heron, Weldon, and Woods.
(13) Yur, G. U., “Fluctuations of Sampling in Mendelian Ratios,” Proc.
Camb. Phil. Soc., vol. xvii., 1914, p. 425.
The law of small chances (§ 12).
(14) Poisson, S. D., Recherches sur la probabilité des jugements, ete. ; Paris,
1837. (Pp. 205-7.)
(15) BORTKEWITSCH, L. VON, Das Geseiz der kleinen Zahlen ; Teubner,
Leipzig, 1898.
(16) STUDENT, ““On the Error of Counting with a Hemacytometer,” Bio-
metrika, vol. v. p. 851, 1907.
(17) RurHERFORD, E., and H. GEIGER, with a note by H. BATEMAN,
*‘ The probability variations in the distribution of a particles,” Phil.
Mag., Series 6, vol. xx., 1910, p. 698. (The frequency of particles
emitted during a small interval of time follows the law of small
chances: the law deduced by Bateman in ignorance of previous work.)
(18) Sorkr, H. E., “Tables of Poisson’s Exponential Binomial Limit,” Bio-
metrika, vol. x., 1914, pp. 25-35.
(19) WHITAKER, Lucy, “On Poisson’s Liaw of Small N umbers,” Biometrika,
vol. x., 1914, pp. 36-71.
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