Statistics of positive impact of TDD/BDD

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Everyone knows about some relevant statistics about positive impact of using test/behavior driven development in real projects. I know statistics can be very misleading, but it would be nice to see something like:

"when started using TDD, we rose productivity and reduced bugs introduction by XY %...".

It would be really nice to show this numbers to managers/customers, when explaining need of writing tests (there are still some people thinking we don't have time for this...)

Thanks

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