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Define The β^1diffs-in-diffs \hat { \beta } _ { 1 } ^ { \text {diffs-in-diffs } }

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Define the β^1diffs-in-diffs \hat { \beta } _ { 1 } ^ { \text {diffs-in-diffs } } in terms of observable differences in the treatment and control group, before and after the treatment. Explain why this presentation is the equivalent of calculating the coefficient in a regression framework.

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