Contents 



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TABLE PAGE PAGE 



XXX. Tables to facilitate the Determination of Tetrachoric 



Correlation : Supplementary Tables for determining 



high Tetrachoric Correlations (- = '80 to I'OO) for 



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



XXX [. Table of the Logarithms of the Gamma Function, 



loglXp) from p = \ to p=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 



X X X I V. 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 ft and 



ft. Customary Values of ft and ft . . . Ixiii 66 



XXXVI. Diagram showing Distribution of Frequency Types for 



High or Unusual Values of ft and ft . . . Ixiii 67 



XXXVII. Probable Errors of Frequency Constants: Table for the 



Probable Error of ft for given Values of ft and ft . Ixii 68-69 



XXXVIII. Probable Errors of Frequency Constants : Table for the 



Probable Error of ft for given values of ft and ft . Ixii 70-71 

 XXXIX. Probable Errors of Frequency Constants: Values of the 

 Correlation of Deviations in ft and ft(fl^ iPi ) for 

 given values of ft and ft ..... Ixii 72-73 



XL. Probable Errors of Frequency Constants : Probable Error 

 of the Distance between Mean and Mode for given 

 Values of ft and ft ... . Ixii 74-75 



XLI. Probable Errors of Frequency Constants : Probable Error 



of the Skewness for given Values of ft and ft . Ixii 76-77 

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

 for given Values of ft and ft 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, , for given Values 

 of ft and ft . . . ..... Ixii 80-81 



XLI V. Probable Error of the Determination of Frequency Type : 

 Value of Semi-minor Axis of Probability Ellipse for 

 given Values of ft and ft ..... Ixiv 82-83 



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