THEORY OF STATISTICS. 
REFERENCES. 
The probable errors of various special coefficients, etc., are generally dealt 
with in the memoirs concerning them, reference to which has been made in 
the lists of previous chapters: reference has also been made before to most of 
the memoirs concerning errors of sampling in proportions or percentages. 
The following is a classification of some of the memoirs in the list below :-— 
General : 18, 20. 
Theory of fit of two distributions: 9, 19, 23. 
Averages and percentiles: 5, 6, 7, 30, 32, 35, 36. 
Standard deviation: 17, 26. 
Coefficient of correlation (product-sum and partial correlations): 10, 
12, 13, 28, 31, 33, 34. 
Coefficient of correlation, other methods, normal coefficient, ete. : 24, 29. 
Cocfficients of association: 34. 
Coefficient of contingency: 2, 25. 
As regards the conditions under which it becomes valid to assume that the 
distribution of errors is normal, ¢f. ref. 14. 
(1) BLAREMAN, J., “On Tests for Linearity of Regression in Frequency 
Distributions,” Biometrika, vol. iv., 1905, p. 332. 
(2) BLAKEMAN, J., and KARL PEARSON, ‘On the Probable Error of the 
Coefficient of Mean Square Contingency,” Biometrika, vol. v., 1906, 
pol. 
(3) BowLEY, A. L., The Measurement of Groups and Sertes ; C. & E. Layton, 
London, 1903. 
(4) BowLEYy, A. L., Address to Section I of the British Association, 1906. 
(5) EpcEworTH, F. Y., “Observations and Statistics: An Essay on the 
Theory of Errors of Observation and the First Principles of Statistics,” 
Cambridge Phil. Trans., vol. xiv., 1885, p. 139. 
(6) EpceworrH, F. Y., ¢ Problems in Probabilities,” Phil. Mag., 5th Series, 
vol. xxii., 1886, p. 371. 
(7) EpceEworrtH, F, Y., ‘The Choice of Means,” Phil. Mag., 5th Series, 
vol. xxiv., 1887, p. 268. 
(8) EpcewortH, F. Y., “On the Probable Errors of Frequency Constants,” 
Jour. Roy. Stat. Soc., vol. lxxi., 1908, pp. 381, 499, 651; and 
Addendum, vol. Ixxii., 1909, p. 81. 
(9) EupErTON, W. PALIN, ‘Tables for Testing the Goodness of Fit of Theory 
to Observation,” Biometrika, vol. i., 1902, p. 155. 
(10) FisHER, R. A., ‘‘The Frequency Distribution of the Values of the 
Correlation Coefficient in Samples from an Indefinitely large Popula- 
tion.” Biometrika, vol. x., 1915, p. 507. 
(11) GresoN, 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 probabl« error for any number of observations up to 1000.) 
(18) Heron, D., “On the Probable Error of a Partial Correlation Coefficient,” 
Biometrika, vol. vii., 1910, p. 411. (A proof, on ordinary algebraic 
lines, for the case of three variables, of the result given in (33).) 
(14) IssErLIs, L., “On the Conditions under which the ‘ Probable Errors’ of 
» Frequency Distributions have a real Significance,” Proc. Roy. Soc., 
Series A, vol. xeii., 1915, p. 23. 
(15) LAPLACE, PIERRE SIMON, Marquis de, Théorie des probabilités, 2¢ édn., 
1814. (With four supplements.) 
(16) PrArL, RayMoND, ‘‘The Calculation of Probable Errors of Certain 
Constants of the Normal Curve,” Biometrika, vol. v., 1906, p. 190. 
254,