ECON 3210 Lecture 8: Econ 3210 Lecture 8

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The short answer is that randomization helps us uncover causal effects or the answers to if-then" type questions. In project star, the question is do smaller classes have an impact on student performance? . We will call this yi where i indexes students. (there are i = 1,,n students: a grouping variable: class sizes. We will call this variable di or the treatment variable. Di has the form: di =1 if class is small (treatment); 0 if class is not small i. e. , regular (control). One way, then, to calculate the impact of the treatment (small class size) is to just compare the test scores between the two groups. To do this we need an average or mean of each group sample mean: yi =1/nn x i yi. The sample mean is an example of a descriptive statistic. It is also an estimator, a point that we will return to shortly.

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