Xll 



Tables for Statisticians and Biometricians 



TABLE 



XLV. Probable Error of the Determination of Frequency Type : 

 Value of Semi-major Axis of Probability Ellipse for 

 given Values of /3i and /3 2 



XLVI. Probable Error of the Determination of Frequency Type : 

 Value of Angle between Major Axis of Probability 

 Ellipse and Axis of fi 2 for given Values of /9, and /3 2 



XLVII. Probable Error of the Determination of Frequency Type : 

 Diagram to determine for given Values of & and /9 2 , 

 a given Frequency Distribution belongs definitely 

 to a given Type of Frequency .... 



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 . 



XLIX. Logarithm of Factorial |_n from n = 1 to 1000 . 



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

 n x x*, for n = 1 to 400, x = 1 to 19, for Verification 

 of the Calculation of Raw Moments 



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

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

 Numbers." Value of e~ m m x j\x for m = - l to 15'0, 

 and x = up to such figure as makes the Function 

 significant in the sixth decimal Place . 



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

 be used in the Determination of the Probable Errors 

 of Cell Frequencies n = 1 to 30. Percentage of 

 Occurrences in random Samples when the Population 

 proportionately sampled would give actually n to 

 the Cell 



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 



LIV. Table of the G(r,v) Integrals. Values of log.F(r, v) 

 and H(r, v) for r = 1 to 50 and <£ = tan -1 v from 

 0° to 45° 



LV. Miscellaneous Constants in Frequent Use by Statisticians 

 and Biometricians ....... 



PAGE PAGE 



lxiv 84-85 



lxiv 86-87 



lxv 



88 



lxx 89-97 



lxxiii 98-101 



lxxiv 102-112 



lxxvi 113-121 



lxxvii 122-124 



lxxix 125 



lxxxi 126-142 

 lxxxiii 143 



