376 Ou the Influence of Vaccination 
In Sheffield, Warrington, Leicester and Gloucester the doubtful cases do not appear 
to be stated separately; in London there were 191 doubtful cases, of whom 44 died, 
and in Dewsbury 24, of whom 2 died. 
The figures for the six towns can then be arranged in the following table : — 
TABLE L 
Epidemics for Six Towns. 
Eecoveries 
Deaths 
Totals 
Vaccinated . . . 
8283 
461 
8744 
Uiivaceinated 
1499 
822 
2321 
Totals 
9782 
1283 
11065 
The constants /; and k were calculated, and the equation for r, the coefficient 
of correlation between degree of effective vaccination and strength to resist 
the disease, found in the usual way. 
A = 1-19554, A- = -80720, 
•032834?-'= + -014289?-= + •148325?-^ - -024924?-^ + •482556?-- + r = -888664, 
whence ?■= -6561 ± -0092. 
On account of the magnitude of the epidemic in Sheffield, I have calculated 
the result for that town separately. 
TABLE II. 
Sheffield. 
Recoveries 
Deaths 
Totals 
Vaccinated . . . 
3951 
200 
4151 
Unvaccinated 
278 
274 
552 
Totals 
4229 
474 
4703 
/( = 1-27716, /.• = 1-18833, 
-097083/-' + •008l70r" + -119614?-^' + ■] 37450?-^ + -043352?-^ 
+ -758844)-2 + ?-= 1-336056, 
whence ?■ = -7694 + -0124. 
The Leicester and Gloucester epidemics are of special interest owing to the 
practice of vaccination having fallen into disuse in these towns for some years 
prior to the epidemic. They are therefore shown separately in the two following- 
tables. 
