The weighted average log odds ratio (R) across all treated sites:

R = n w i R i n w i = 1005.99 4187.19 = 0.24 (total crashes), and R = n w i R i n w i = 247.69 814.66 = 0.30 (fatal and injury crashes)

The overall effectiveness of the treatment expressed as an odds ratio or CMF across all sites:

OR = e R = e 0.240 = 1.27 (for total crashes)

OR = e R = e 0.304 = 1.35 (for fatal and injury crashes)

The overall safety effectiveness as percentage of change across all sites (*):

Safetyeffectiveness = 100 × ( 1 OR ) = 100 × ( 1 1.271 ) = 27.12 % (for total crashes)

Safetyeffectiveness = 100 × ( 1 OR ) = 100 × ( 1 1.355 ) = 35.53 % (for fatal and injury crashes)

The standard error of treatment effectiveness is:

SE ( safetyeffectivenss ) = 100 × OR n w i = 100 × 1.271 4187.19 = 1.96 % (for total crashes)

SE ( safetyeffectivenss ) = 100 × OR n w i = 100 × 1.355 814.66 = 4.74 % (for fatal and injury crashes)

The statistical significance of estimated safety effectiveness is assessed as:

Abs ( | safetyeffectiveness SE ( safetyeffectivenss ) | ) = 27.12 1.96 = 13.80 2 , the treatment effect is significant at 95% confidence level (for total crashes).

Abs ( | safetyeffectiveness SE ( safetyeffectivenss ) | ) = 35.53 4.74 = 7.49 2 , the treatment effect is significant at 95% confidence level (for fatal and injury crashes).