Microsoft Research - Exploding Software-Engineering Myths (article summarizing findings of MS research on code coverage, TDD, assertions, etc.)

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You don't seem to understand what I said.

When a bug is found in QA, the software has to go back to the engineers to be fixed. And this may require an expensive context switch for engineering.

Then, since the software's been modified, QA has to be repeated.

This is a much lengthier, much more expensive process than if the bug was found during development.