# Table 1 Examples of weights on same-division states and other-division states

Same division Other division
Weight per state # states Weight per state # states
Example 1
Treatment 1 .24 2 .26 2
Treatment 2 .24 2 .26 2
Treatment 3 .24 2 .26 2
Treatment 4 .24 2 .26 2
Treatment 5 .02 2 .02 48
ADRZ calculation (equation (1)) $\frac{\left\{\frac{8×0.24+2×0.02}{5}\right\}/\left\{\frac{10}{5}\right\}}{\left\{\frac{8×0.26+48×0.02}{5}\right\}/\left\{\frac{56}{5}\right\}}=3.61$
Equation (2) calculation $\frac{\left\{4×\left(\frac{0.48}{2}\right)+1×\left(\frac{0.04}{2}\right)\right\}/5}{\left\{4×\left(\frac{0.52}{2}\right)+1×\left(\frac{0.96}{48}\right)\right\}/5}=0.925$
Example 2
Treatment 1 .24 2 .26 2
Treatment 2 .24 2 .26 2
Treatment 3 .24 2 .26 2
Treatment 4 .24 2 .26 2
Treatment 5 .01 4 .01 96
ADRZ calculation (equation (1)) $\frac{\left\{\frac{8×0.24+4×0.01}{5}\right\}/\left\{\frac{12}{5}\right\}}{\left\{\frac{8×0.26+96×0.01}{5}\right\}/\left\{\frac{104}{5}\right\}}=5.59$
Equation (2) calculation $\frac{\left\{4×\left(\frac{0.48}{2}\right)+1×\left(\frac{0.04}{4}\right)\right\}/5}{\left\{4×\left(\frac{0.52}{2}\right)+1×\left(\frac{0.96}{96}\right)\right\}/5}=0.924$