TABLE OF THE GAUSSIAN "TAIL" FUNCTIONS; 
WHEN THE "TAIL" IS LAEGEE THAN THE BODY. 
By ALICE LEE, D.Sc. 
In a paper published in Biometrika, Vol. vi. pp. 59 — 68, tables for the in- 
complete normal moment functions were printed, and they have since been 
reproduced in Tables for Statisticians and Biometricians recently issued from the 
Cambridge University Press. From these tables values of the Gaussian "Tail" 
functions were deduced and a short table of -v|ri and -v/r^ appeared in Biometrika, 
Vol. VI. p. 68. The value of these functions being demonstrated in practice 
during the last few years, a more complete table of -v/^j, y^.^, -yjr-j has appeared in the 
Tables for Statisticians and Biometricians. 
In the introduction to those tables, however, Professor Pearson indicated that 
it was important to have a similar table when the "tail" forms more than half the 
entire curve, and gave the fundamental formulae for obtaining the numerical 
values of the functions. The present table has been calculated to supply the 
want thus indicated. 
D 
E BOH C 
Let the figure represent a Gaussian curve of total population N and standard 
deviation a. Let AB he the ordinate at which it is truncated and let 
OB = h = h'x (7. 
Let GH be the ordinate through the mean G of the truncated portion and BH=d, 
the distance of the mean from the line of truncation, let 2 be the standard 
deviation of the truncated portion about GH, and n = the area of the truncated 
portion, or of the population observed. Then if any material be supposed to 
