J. F. TuCHER 
305 
The general " goodness of fit " of skew and normal curves for the "entire insane" 
population may next be considered. Taking first the normal curves, we find that 
in every case the fit is extremely bad ; the skew curves show fairly good fits 
for head breadth and $ ), tolerable perhaps for H (</ and % ) and bad for 
stature and L and $ ). If now the values for the "general insane" population 
are examined, it is found that the fit of normal curves is very bad for stature and H 
((/" and % ), poor for B, and tolerable only for L. It must therefore be concluded 
that the rejection of the medically defined exceptionals does not convert the 
distributions into good normal curves. This can be seen from Table I., where the 
analytical constants are calculated for the " general insane " population. It is 
found that (i) the skewness still remains significant for L ((/), H (</) and H (^) 
and perhaps for B ((/"), (ii) the leptokurtosis is still significant for B ( J' and $), 
H ((/) and possibly for L {J" and $ ). Summarising, good normal fits are not 
obtained for the "entire insane" population whether "general goodness of fit" is 
considered as in Table III., or the values of the analytical constants as in Table I. 
TABLE III. 
Goodness of Fit. Entire Insane Population. Summary of Tests. 
1 
2 
■6 
4 
5 
6 
7 
8 
9 
10 
Character 
Sex 
Unit 
Number 
No. of in- 
dividuals 
especially' 
affecting Fit 
Percentage 
especially 
affecting Fit 
Points affected 
X axis 
Nature of 
Curve fitted 
X" 
P 
L 
$ 
3 mm. 
4436 
5 
•11 
(-4-79 
^4-95 
Type IV 
67^75 
Very Small 
B 
H 
S 
6 
2 mm. 
2 mm. 
4436 
4436 
23 
18 
■52 
•41 
(- 2^53 to -4^34 
( + 4^34 
-3^29 + 2^87 
)> 
)1 
26^60 
35-20 
•304 
•110 
S 
L 
6 
? 
2 in. 
3 mm. 
4401 
3951 
73 
25 
1-66 
•63 
j-5^75 
| + l"84to+3^22 
j-5^67 
H2^03 
)) 
51 
65^90 
54^10 
Very Small 
>) 
B 
E 
S 
$ 
? 
9 
3 mm. 
2 mm. 
2 in. 
3951 
3951 
3915 
3 
7 
93 
•08 
•18 
2^38 
-4^41 
-2-79 to - 3^88 
(-1-43 to -4-37 
| + 2^24 
71 
18 •SO 
32^10 
68^50 
•328 
•115 
Very Small 
L 
B 
H 
S 
L 
B 
H 
S 
i 
6 
? 
? 
? 
9 
3 mm. 
2 mm. 
2 mm. 
2 in. 
3 mm. 
3 mm. 
2 mm. 
2 in. 
4381 
4381 
4381 
4393 
3925 
3925 
3925 
3890 
10 
8 
42 
38 
29 
15 
37 
20 
•23 
•18 
•96 
•87 
•74 
•38 
•94 
•52 
-3^12 to -4^03 
-3 36 
+ 2^30 to +3^73 
-3^13 to -4^54 
- 1^89 
-3-30 + 3-40 
(-2^49 &-3^23 
) + 2^68 &4-3^42 
j-3^17 &-3^94 
/ + 3^81 &+4^58 
Normal 
ji 
n 
22^10 
39^10 
84-20 
495^80 
23-50 
43-00 
54-40 
325-50 
•140 
Small 
Very Small 
•170 
Small 
Very Small 
* J/=Mean. A' = Absolute magnitude of character. Relative scale is - 
