XII 



Tablf* for Statist t'ritnt* <ui<l Ii!<nnrtrii-'nnis 



TABLE I' A " K 



XLV. Probable Error of the Determination of Frequency Type : 

 Value of Semi-major Axis of Probability Ellipse for 

 given Value's of /3, and & Ixiv 84-85 



\ I. VI. Probable Error of the Determination of Frequency Type: 

 Value of Angle between Major Axis of Probability 

 Ellipse and Axis of & for given Values of /9, and /8, Ixiv 86-87 



X L V 1 1. Probable Error of the Determination of Frequency Type : 

 Diagram to determine for given Values of /9, and j8 s , 

 a given Frequency Distribution belongs definitely 

 to a given Type of Frequency . . . . Ixv 88 



XLVIII. Probable Occurrences in Second Small Samples. Per- 

 centage Frequency of each number of Successes in 

 a Second Small Sample of m after p Successes in 

 a First Small Sample of n Ixx 89-97 



XLIX. Logarithm of Factorial |_n from n = 1 to 1000 . . Ixxiii !8-101 



L. Table of Fourth Moments of Subgroup Frequencies, i.e. 

 n x ar 4 , for n = 1 to 400, oc = 1 to 19, for Verification 

 of the Calculation of Raw Moments . . . Ixxiv 102-112 



LI. General Term of Poisson's Exponential Limit to the 

 Binomial, i.e. of the so-called " Law of Small 

 Numbers." Value of e~ 1 "m x /[x for m = 'l to lo'O, 

 and a; = up to such figure as makes the Function 

 significant in the sixth decimal Place . . . Ixxvi 113-121 



LII. Table of Poisson's Exponential Limit to the Binomial to 

 be used in the Determination of the Probable Errors 

 of Cell Frequencies 7; = 1 to 30. Percentage of 

 Occurrences in random Samples when the Population 

 proportionately sampled would give actually n to 

 the Cell Ixx vii 122-1 24 



LIII. Angles, Arcs and Decimals of Degrees. Table giving 

 (a) the Arc for each Degree from 1 to 180, (b) the 

 Arc for each Minute and Second of Angle and (c) 

 the Value in Decimals of a Degree of each Arc and 

 Second of Angle Ixxix 125 



LIV. Table of the 0(r,v) Integrals. Values of \ogF(r, v) 

 and H(r, v) for r = l to 50 and </>=tan~'i> from 

 to 45 Ixxxi 12G-142 



LV. Miscellaneous Constants in Frequent Use by Statisticians 



and Biometricians . Ixxxiii 143 



