Contents 



XI 



TABLE PAOE PAGE 



XXX. Tables to facilitate the Determination of Tetrachoric 

 Correlation : Supplementary Tables for determining 

 high Tetrachoric Correlations (r = "80 to TOO) for 

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



XXXI. Table of the Logarithms of the Gamma Function, 



logF(p) from p-1 to p = 2 . . . . lv 58-61 



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



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



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



B, Extension of Table XXXII for very narrow 



Catenaries lvi 64* 



XXXIV. Diagram to find the Correlation Coefficient r from the 



Mean Positive Contingency on the Hypothesis of 



a Normal Distribution ...... lvii 65 



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



bution from a Knowledge of the Constants fa and 



fa. Customary Values of fa and fa . . . lxiii 66 



XXXVI. Diagram showing Distribution of Frequency Types for 



High or Unusual Values of fa and fa, . . . lxiii 67 



XXXVII. Probable Errors of Frequency Constants: Table for the 



Probable Error of fa for given Values of fa and fa . lxii 68-69 



XXXVIII. Probable Errors of Frequency Constants : Table for the 



Probable Error of fa 2 for given values of fa and fa . lxii 70-71 

 XXXIX. Probable Errors of Frequency Constants : Values of the 

 Correlation of Deviations in fa and fa(Rp v ^) for 

 given values of fa and fa lxii 72-73 



XL. Probable Errors of Frequency Constants : Probable Error 

 of the Distance between Mean and Mode for given 

 Values of fa and fa lxii 74-75 



XLI. Probable Errors of Frequency Constants : Probable Error 



of the Skewness for given Values of fa and fa . lxii 76-77 



XLII. Values of the Frequency Constants fa, fa, fa and fa 

 for given Values of fa and fa on the Assumption that 

 the Frequency can be described by one or other of 

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

 XLI 1 1. Probable Errors of the Frequency Constants : Probable 

 Error of the Criterion of Type, /c 2 , for given Values 



of fa and fa lxii 80-81 



XLIV. Probable Error of the Determination of Frequency Type : 

 Value of Semi-minor Axis of Probability Ellipse for 



given Values of fa and fa lxiv 82-83 



6—2 



