x Tables for Statisticians and Biometricians 



TABLE PAGE PAGE 



XII. Table of the Gaussian "Tail" Functions when the "Tail" is 



larger than the Body t . . Ixxxviii 146 



XIII. Table of the llth and 12th Incomplete Normal Moment 



Functions, for use in ascertaining the value of the 



Incomplete B-Function, and other Investigations . xci 147 



XIV. Values of /3 3 , /3 4 , /9 5 and /3 6 in terms of /3i and /3 2 for 



Pearson-Type Curves ....... xci 148 



XV. Ratio of Standard Error of Mode to Standard Error of Mean 



for Pearson-Type Curves . . . . . . xcv 156 



XVI and XVI bis. Standard Error of a Correlation Coefficient found 



from a Biserial Table . . . . . . . ci 158 



XVII. Values of the Frequency Constants for Standard Deviations 



of Samples from a Normal Population .... ciii 159 



XVIII. Constants of the Curves which closely represent the Distri- 

 bution of Differences between the First and Second, 

 and Second and Third Individuals in Samples of size n 

 from a Normal Population . . . . . . cv 159 



XIX. Values of PI (X), or the Probability that the interval from 

 First to Second Individual in a Sample of n from a 

 Normal Population differs by more than X-times the 

 Standard Deviation of the Original Population . . cvii 160 



XX. Values of P 2 (X), or the Probability that the interval from 

 Second to Third Individual in a Sample of n from a 

 Normal Population differs by more than X-times the 

 Standard Deviation of the Original Population . . cvii 161 



XXI and XXI bis. Probability Integral of Distribution of Extreme 

 Individuals in Samples of size n taken from a Normal 

 Population ex 162 



XXII. Mean Range of Samples of size n taken from a Normal 



Population (given in terms of its Standard Deviation) . ex 165 



XXIII. Constants of the Distribution of Ranges in small Samples 



from sundry Types of Symmetrical Curves. Results in 



part Theoretical, in part Experimental . . . cxix 167 



XXIV. Probability Integral for the Distribution of Ranges in small 



Samples from sundry Types of Symmetrical Curves. 

 Results in part Theoretical, in part Experimental . cxix 168 

 XXV and XXV bis. Probability Integral of the Pearson Symmetrical 



Curves, /3j = 0, /9 2 = 1 '8 onwards . . cxxi 169 



