Contents 



XI 



TABLE PAGE PAGE 



XXX. Tables to facilitate the Determination of Tetrachoric 



Correlation : Supplementary Tables for determining 



high Tetrachoric Correlations (?- = '80 to 1-00) for 



given positions of the dichotomic lines . . liii 52-57 



XXXI. Table of the Logarithms of the Gamma Function, 



logr(p) from p = l to ^ = 2 . . . . Iv 58-61 



XXXII. Table to deduce the Subtense from a knowledge of Arc 



and Chord in the Case of the Common Catenary Ivi 62-63 



XXXIII. A, Extension of Table XXXII for very flat Catenaries; 



B, Extension of Table XXXII for very narrow 



Catenaries Ivi 64! 



XXXIV. Diagram to find the Correlation Coefficient r from the 



Mean Positive Contingency on the Hypothesis of 



a Normal Distribution Ivii 65 



XXXV. Diagram to determine the Type of a Frequency Distri- 



bution from a Knowledge of the Constants /3i and 



/3o. Cu.stomary Values of ySj and ySo . . • Ixiii 66 



XXXVI. Diagram showing Distribution of Frequency Types for 



High or Unusual Values of /3i and yS, . . . Ixiii 67 



XXXVII. Probable Errors of Frequency Constants: Table for the 



Probable Error of ^^ for given Values of /Si and /3., . Ixii 68-69 



XXXVIII. Probable Errors of Frequency Constants : Table for the 



Probable Error of /Sa for given values of /3i and /Sj . Ixii 70-71 

 XXXIX. Probable Errors of Frequency Constants : Values of the 

 Correlation of Deviations in /3, and /3o(-R^^^j) for 

 given values of /3i and ^^ . . . . . Ixii 72-73 



XL. Probable Errors of Frequency Constants : Probable Error 

 of the Distance between Mean and Mode for given 

 Values of ;8, and /go Ixii 74-75 



XLI. Probable Errors of Frequency Constants : Probable Error 



of the Skewness for given Values of /8, and /Sa • Ixii 76-77 



XLII. Values of the Frequency Constants /Sj, ^^, /Ss and yS^ 

 for given Values of /8i and ^^ on the Assumption that 

 the Frequency can be described by one or other of 

 Pearson's Frequency Types ..... Ixii 78-79 

 XLIII. Probable Errors of the Frequency Constants : Probable 

 Error of the Criterion of Type, k.^, for given Values 



of j8, and /3„ Ixii 80-81 



XLIV. Probable Error of the Determination of Frequency Type : 

 Value of Semi-minor Axis of Probability Ellipse for 

 given Values of jS, and jS. Ixiv 82-83 



6—2 



