1. Calculation of the thyroid doses from ¹³¹I for a given test series

The arithmetic mean thyroid dose, m(D(i,ts)), from ¹³¹I in county, i, resulting from a given test series, ts, for a given type of diet, is obtained by adding the arithmetic mean thyroid doses from each test, te, in the series:
 

where nte is the number of tests in the series, ts (3 for Ranger; 6 for Buster-Jangle; 8 for Tumbler-Snapper; 11 for Upshot-Knothole; 11 for Teapot; 18 for Plumbbob; 9 for Hartack-Phase II; 17 for "Underground Era). The variance of D(i,ts) is calculated as:
 
   

The distribution of D(i,te) is assumed to be lognormal and the doses from each test are assumed to be independent variables. The arithmetic mean thyroid doses for each test, m(D(i,te), are therefore derived from the medians, <D(i,te)>, which are the values reported in the Tables, using:
 
   

with
 

while the variances for each test, s²(D(i,te)), are obtained as:
 

The medians of the thyroid doses for the test series and the geometric standard deviations of the distribution of the dose, which are the quantities to be tabulated in the report, are:
 

and
 

computed using  derived from
 
 

2. Calculation of the thyroid doses from ¹³¹I for all tests

Thyroid doses for all tests were calculated by treating all tests as a single series and applying the method described above.