H. Waite 
83 
TABLE VI. 
Age and Form. 
Age. 
10 
11 
12 
IS 
I* 
25 
16 
17 
Totals 
Ill 
3 
4 
3 
4 
2 
16 
IV o 
5 
7 
7 
7 
1 
= 
- 
27 
IVb 
3 
3 
14 
5 
1 
2 
28 
IV a 
2 
9 
7 
4 
3 
2 
2 
29 
Vb 
3 
10 
7 
5 
1 
26 
Va 
5 
13 
12 
30 
L. VI 
7 
6 
2 
1 
16 
VI 
2 
2 
6 
10 
Totals 
3 
14 
25 
47 
45 
30 
9 
9 
182 
Remarks on the Tables. 
Table I. Intelligence and Examination Place. The correlation, worked by the 
correlation ratio method, is v = — 'C89. The negative sign is due to the method 
of fixing Examination Place, the lowest numerical value denoting the highest place 
in the examination. If this order were reversed the sign would be positive, but at 
the same time the signs of r u and r u of Tables II and III would be changed ; 
finally the coefficient of partial correlation would be of the same numerical value 
but of opposite sign. 
Table II. Age and Examination Place. The correlation ratio method gives 
77 = "233 ; by the method of moments we obtain r= - 044, while a fourfold table 
gives the value '130. The results suggest that the real relationship between Age 
and Examination Place is in any case small*. The partial correlation has been 
worked out for each of these values, and the differences found are slight. 
Table III. Form and Examination Place. The correlation ratio is 97 = '011, 
and since the probable error is + '05, it will be taken as zero. 
Table IV. Age and Intelligence. The mean General Intelligence for different 
ages, based on the assumption that the scale adopted is roughly quantitative, is : — 
Age 10 11 12 13 14 15 16 17 
Intelligence ... 11-6 115 10-9 1T8 11 '7 12"2 H"5 12'4 
The mean for all ages is 11 7, so that the only considerable deviations are at 
the ages 12 and 17, and these are probably partially due to the small numbers 
investigated. 
Worked by the correlation ratio method, rj = -343, while a fourfold table gives 
r = "189. The regression is not linear, and it is probable that the smaller value is 
* The material is a good deal selected as an examination of the arrays of boys in Table II. aged 
14 and 15 will show ; able boys stay on working for scholarships or competitive examinations, duller 
boys in the hope of completing their training. This accounts for the differences between ij and r. 
11—2 
