H. E. SoPKii, A. W. Young, B. M. Cave, A. Lee, K. Pearson 405 
TABLE B*. To assist the calculation of the Ordinates of the Correlation Frequency Curves 
from Expansion Formulae. 
n-2 p = 0. 
Vn-i' log (l-p2)i = 0. 
n 
11-2 
n 
, n-2 
n 
_ — 
n-2 
r 
logxi 
log X2 
</>2 
•^3 
^og , 
y % — 1 
log - 
y n — \ 
Jog / 
\l n — V 
3 
_ 
1-8494850 
42 
■7956681 
81 
•9460821 
-•95 
•5054977 
_ 
2^8825969 
4 
■0624694 
43 
■8011592 
82 
•9488475 
-■90 
•3606232 
1^3172203 
5 
•1760913 
44 
•8065151 
83 
•9515781 
- -85 
•2783685 
1-5639844 
6 
•2525750 
45 
•8117421 
84 
•9542748 
-■SO 
•2218487 
1^7335437 
7 
•3098944 
46 
•8168464 
85 
■9569384 
-■75 
■1795110 
1-8605570 
8 
•3556022 
47 
•8218336 
86 
■9595698 
-■70 
■1462149 
1-9604452 
9 
•3935530 
48 
•8267089 
87 
■9621697 
-■65 
■1192240 
-0414179 
10 
•4259687 
49 
•8314772 
88 
■9647388 
-■60 
■0969100 
-1083599 
11 
■4542425 
50 
•8361432 
89 
•9672779 
-■55 
■0782279 
-1644063 
12 
•4793037 
51 
•8407111 
90 
•9697877 
-■50 
■0624694 
-2116818 
13 
•5018021 
52 
•8451849 
91 
•9722688 
-•45 
•0491347 
-2516860 
U 
5222096 
53 
•8495685 
92 
•9747218 
-■40 
•0378604 
-2855089 
15 
•5408793 
54 
•8538654 
93 
•9771475 
- ^35 
■0283764 
-3139606 
16 
■5580824 
55 
•8580790 
94 
•9795464 
- ^30 
•0204793 
-3376520 
17 
■5740313 
56 
•8622124 
95 
•9819190 
- ^25 
•0140144 
-3570469 
18 
■5888955 
57 
■8662687 
96 
■9842661 
-■20 
•0088644 
•3724968 
19 
■6028127 
58 
■8702506 
97 
■9865880 
-■15 
•0049416 
•3842651 
O 
CO 
lO 
20 
■6158957 
59 
■8741609 
98 
■9888854 
- ■lO 
■0021824 
•3925427 
o 
<M 
o 
21 
•6282386 
60 
■8780020 
99 
■9911587 
-■05 
•0005435 
•3974593 
CO 
9 
22 
•6399203 
61 
■8817764 
100 
■9934085 
■00 
•0 
•3990899 
c;l 
9 
1 
1 
23 
•6510080 
62 
•8854863 
400 
b2993966 
+ ■05 
■0005435 
■3974593 
II 
11 
II 
24 
•6615588 
63 
•8891340 
+ ■10 
■0021824 
•3925427 
■©^ 
II 
25 
■6716222 
64 
•8927214 
+ ■15 
•0049416 
•3842651 
-e^ 
zo 
•6812412 
65 
■89oz50o 
+ •CO 
•o /Z4yoo 
27 
•6904533 
66 
■8997233 
+ ■25 
•0140144 
■3570469 
28 
•6992915 
67 
■9031414 
+ ■30 
■0204793 
■3376520 
29 
•7077847 
68 
■9065065 
+ ■35 
■0283764 
■3139606 
30 
•7159590 
69 
•9098203 
+ •40 
•0378604 
•2855089 
31 
■7238374 
70 
■9130844 
+ ■45 
•0491347 
•2516860 
1 
32 
■7314404 
71 
■9163001 
+ ■50 
•0624694 
•2116818 
33 
■7387867 
72 
•9194689 
+ ■55 
•0782279 
•1644063 
73 
■9225921 
+ ■60 
•0969100 
•1083599 
35 
■7527745 
74 
•9256711 
+ ■65 
•1192240 
•0414179 
00 
■7594449 
75 
•9287070 
+ ■70 
•1462149 
r9604452 
37 
■7659168 
76 
•9317011 
+ ■75 
•1795110 
!• 8605570 
38 
•7722016 
77 
•9346545 
+ ■80 
■2218487 
r7335437 
39 
•7783099 
78 
•9375682 
+ •85 
■2783685 
I ^5639844 
40 
•7842513 
79 
■9404434 
+ ■90 
■31)06232 
1-3172203 
41 
■7900346 • 
80 
•9432811 
+ ■95 
■5054977 
2-8825969 
1 
* If 
tlie oi'dinate at 
r be 
then (see 
p. 348) 
.'/=!' 
(l+ 
+ ~-^- + 
04 \ 
{n-lf 
("-1)V' 
where 
log 
F=Iog-|=i + log(l-p2)- 
--(» -l)logXi-logX2^ 
V /( ■- 1 
All these 
quantities 
arc given for f = - 
- -95 to 
+ ■95 and 
/5 = 0-0 to 0^9 in tin 
s Table 
B. 
