W. E. Macdonell 
197 
Therefore the mean is 
11 15 + -392842 = 11-542842, 
and the probable error of a = -0075. 
Head Lmgth and Head Breadth. The 4-fold table is Table XIV., p. 222 
(see also Table I, p. 214). 
/i = - -03761; ^• = - -36114; e = -408616. 
•408619 = ^ + •006791^'^ - -021942^^5 + -002606^^ - 008325^^ 
whence 6' = •4090070, r = -3977. 
For s.D. of Head Length, we have from the 9-fold Table XV., p. 222, 
?ii - 463, «2 = 2043, «3 = 494, 
/ii = 1-018019, /;3 = -975451, 77 = 1^2. 
'-H^7 = -««'««°*' 
and j9i = V = -6128122, 
therefore Mean = 18-55 + -6128122 = 19-1628122, 
and the probable error of a is -007 1. 
(11) Comparison of Results. We can now compare the results obtained by 
the new method with those obtained from the full correlation tables : 
TABLE 16. 
Coefficient of Correlation. 
Old Method 
New Method 
Head Length and Head Breadth 
Head Breadth and Height 
L. M. Finger and Height 
•4016+ •0103 
•1831 + ^0119 
•6608 + ^0069 
•3977 + .0176 
•1811 + -0210 
•6633 + .0142 
TABLE 17. 
S.D. and Mean. 
Standard Deviation 
Mean 
Old Method 
New Method 
Old Method 
New Method 
Head Length (cm.) 
Head Breadth (cm.) 
Finger (cm.) 
Height (ins.) 
•6046 + ^0053 
•5014+^0044 
•5479 + ^0048 
2^5410 + ^0221 
•6020+ -0071 
-5152 + -0101 
-5446 + -0075 
2-5357 + -0495 
19-1663 + ^0075 
15^0442 + ^0062 
1 1^5474 + ^0068 
65^5355 + ^0313 
19^1628 + ^0086 
15-0361 + -0072 
11 -5428 + -0075 
65-5304 + -0352 
