. THEORY OF STATISTICS.
(2) CorswortrH, M. B., The Direct Calculator, Series O. (Product table to
1000 x 1000.) M‘Corquodale & Co., London ; price with thumb index,
25s. ; without index, 21s.
(3) CRELLE, A. L., Rechentafeln. (Multiplication table giving all products up
to 1000x1000.) Can be obtained with explanatory introduction in
German or in English. G. Reimer, Berlin ; price 16s.
(4) ELpERTON, W. P. ‘‘Tables of Powers of Natural Numbers, and of the
Sums of Powers of the Natural Numbers from 1 to 100” (gives
powers up to seventh), Biometrika, vol. ii. p. 474.
(5) PETERS, J., Neue Rechentafeln fir Multiplikation und Division. (Gives
products up to 100 x 10,000 : more convenient than Crelle for forming
four-figure products. Introduction in English, French or German.)
G. Reimer, Berlin ; price 15s.
(6) ZIMMERMANN, H., Rechentafel, nebst Sammlung hidufig gebrauchter
Zahlenwerthe. (Products of all numbers up to 100 x 1000 : subsidiary
tables of squares, cubes, square-roots, cube-roots and reciprocals, ete.
for all numbers up to 1000 at the foot of the page.) W. Ernst & Son,
Berlin ; price 5s. ; English edition, Asher & Co., London, 6s.
B. SPECIAL TABLES OF FUNCTIONS, ETC.
Several tables of service will be found in the works cited in
Appendix II, e.g., a table of Gamma Functions in Elderton’s
book (12) and a table of six-figure logarithms of the factorials
of all numbers from 1 to 1100 in De Morgan’s treatise (11). The
majority of the tables in the list below, which were originally
published in Biometrika, together with others, are contained in
Tables for Statisticians and Biometricians, Part 1., edited by Karl
Pearson (Cambridge University Press, price 15s. net).
(7) Davenreort, C. B., Statistical Methods, wilh especial reference to Biological
 Variation; New York, John Wiley; London, Chapman &
Hall; second edition, 1904. (Tables of area and ordinates of the
normal curve, gamma functions, probable errors of the coefficient of
correlation, powers, logarithms, ete.)
(8) DUFFELL, J. H., “Tables of the Gamma-function,” Biometrika, vol. vii.,
1909, p. 43. (Seven-figure logarithms of the function, proceeding by
differences of 0001 of the argument.)
(9) ELpErTON, W. P., “Tables for Testing the Goodness of Fit of Theory to
Observation,” Biometrika, vol. i., 1902, p. 155.
(10) Everitt, P. F., ‘Tables of the Tetrachoric Functions for Fourfold
 Correlation Tables,” Biometrika, vol. vii., 1910, p. 437, and vol.
viii., 1912, p. 385. (Tables for facilitating the calculation of the correlation
 coefficient of a fourfold table by Pearson’s method on the
assumption that it is a grouping of a normally distributed table; cf.
ref. 14 of Chap. XVI.)
(11) GiBsoN, WINIFRED, ‘‘ Tables for Facilitating the Computation of Probable
 Errors,” Biometrika, vol. iv., 1906, p. 385.
(12) HEroN, D., ¢“ An Abac to determine the Probable Errors of Correlation
Coefficients,” Biometrika, vol. vii., 1910, p. 411. (A diagram giving
the probable error for any number of observations up to 1000.)
(13) Lee, ALICE, ‘‘ Tables of F(r, v) and H(r, v) Functions,” British Association
 Report, 1899. (Functions occurring in connection with Professor
Pearson’s frequency curves.)

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