Karl Pearson and Egon S. Pearson 
137 
The following table gives the corresponding quantities ^(1 +a')'s, A-' s, K's, i/"^. 
t"s, ^t/'s T"s and ^2"'s for the y-variate. 
TABLE II. 
4(1 + a') 
0 
•034 
■335 
-619 
•756 
-861 
-959 
1-000 
/ 
a; 
- 00 
- r82501 
- -42615 
+ -30286 
+ -69349 
+ 1-08482 
+ 1 -73920 
+ 0C 
0 
+ -07545 
+ -36431 
+ •38106 
+ -31367 
+ -22149 
+ -08792 
0 
- Kg _ J - A's 
2\"s "s— 1/ 
_ 2 
•21916 
-95968 
- -05896 
+ -49188 
+ •8- 
"789 
+ 1 -36301 
+ 2-14436 
tJ 
0 
- -034 
- -3 
35 
- -619 
- -756 
- -861 
- -959 
1 
'^l 0 
0 
+ -07545 
+ -36431 
+ •38106 
+ ^31367 
+ -22149 
+ -08792 
0 
0 
- -09737 
- -10978 
+ -08160 
+ •15382 
+ -16990 
+ -10812 
0 
''3 
0 
+ -07179 
- -12172 
- -14130 
- ^06647 
+ -01599 
+ -07268 
0 
■'"4 
0 
~ -00929 
+ -08932 
- -06851 
- ^11185 
- -08942 
+ -00077 
0 
0 
- -04057 
+ -06463 
+ -08551 
+ •00990 
- -05411 
- -04815 
0 
0 
+ -03702 
- -07647 
+ -06061 
+ ^08449 
+ -04134 
- -03475 
0 
^'0 
■034 
- -301 
- -284 
--137 
- ^105 
- -098 
- -041 
+ 
•0 
■545 
+ -28886 
+ -01675 
- -06739 
-•09218 
- -13357 
- -08792 
•09737 
- -01241 
+ -19138 
+ -07222 
+ ^01608 
- -06178 
- -10812 
+ 
•07179 
- -19351 
- -01958 
+ -07483 
+ -08246 
+ -05669 
- -0 
7268 
•00929 
+ -09861 
- -15783 
- -04334 
+ ^02243 
+ -09019 
- -00077 
$T.-' 
•04057 
+ -10520 
+ -02088 
- -07561 
- ^06401 
+ -00596 
+ -04815 
+ 
•03702 
- -11349 
+ -13708 
+ -02388 
- -04315 
- -07609 
+ -03475 
r/ 
0 
- -17170 
- -49025 
- -50360 
- ^53847 
- -62073 
- -80610 
1 
0 
+ -23105 
+ -30439 
+ -29416 
+ ^32847 
+ -34094 
+ -25021 
0 
0 
- -18723 
- -01151 
+ -00432 
+ •04271 
+ -11544 
+ -18882 
0 
0 
+ -05286 
- -09892 
- -09140 
- -11081 
- -08901 
+ -03768 
0 
0 
+ -06989 
+ -01240 
- -00474 
- -04316 
- -09869 
--0 
B340 
0 
0 
- -08412 
+ -05897 
+ -05326 
+ -06263 
+ -02276 
- -08010 
0 
ST,; 
+ 
•07545 
+ -28886 
+ -01675 
- -06739 
- ^092 18 
- -13358 
- -08792 
•17170 
- -31855 
- -01334 
- -03488 
- -OJ 
3225 
- -18537 
- -19391 
ST. I 
+ 
23105 
+ -07334 
- -01023 
+ -03431 
+ •01247 
- -09072 
- -25021 
ST-i 
•18723 
+ -17572 
+ -01583 
+ -03839 
+ -07273 
+ -07338 
- -18882 
Sti 
+ 
•05286 
- -15178 
+ -00752 
- -01941 
+ -02179 
+ -12670 
- -03768 
STi 
+ 
•06989 
- -05749 
- -01714 
- -03842 
- -05553 
+ -10529 
+ -0i 
3340 
•08412 
+ -14309 
- -00571 
+ -00937 
- -03988 
- -10286 
+ -08010 
From Tables I and II we can find from (x) the value of Hss/-^ foi' ^^^Y given 
value of r, and by equating rtssl^ to Hs^jN we should have an equation to determine 
the correlation r from that cell alone. The weighted mean of these 49 r's would ^ 
be Ritchie-Scott's polychoric correlation coefficient. But the labour would be 
immense*. 
We are now in a position to give the product of ^^Tp'^^'Tp : see Table III, p. 138. 
There are certain checks on the accuracy of this table, namely 
^ss' Tp V = ^ except for p = 0, when it = 1. 
* We are not underrating the large amount of arithmetic of the present process. It is not likely to 
be often repeated, and the sole purpose of publisliiug all these tables for an individual case is to impress 
the reader with that fact; while at the same time illustrating the actual numerical processes. The 
amount of arithmetic, great as it is, is relatively small compared with that of solving and weighting the 
resulting r's in the case of a 49-cell table. 
