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In the Context of a Controlled Experiment, Consider the Simple Yi=β0+β1Xi+uiY _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { i } + u _ { i }

question 33

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In the context of a controlled experiment, consider the simple linear regression formulation Yi=β0+β1Xi+uiY _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { i } + u _ { i }
Let the YiY _ { \mathrm { i } } be the outcome, XiX _ { \mathrm { i } } the treatment level when the treatment is binary, and ui contain all the additional determinants of the outcome. Then calling β^1\widehat { \beta } _ { 1 } a differences estimator


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