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TABLET TUTINGUTY OF THE LOT M Depen 0530 - TH 00 011 Sthaath me Schradering per A Preach Reduced price lunch die Respecial de Everceived multi Living with a blocale Attended the Number of application white 112 10 . 0615 . 00 BORS According to the balance table above, are lottery winners and lottery losers good treatment and control groups for estimating the effect of moving schools on grades? Why? O Yes, they are good treatment and control groups. Winning the lottery is a non-random act, so we don't have to worry about the independence assumption. Plus, the balance sheet above shows no significant differences in exogenous characteristics between the treatment and control groups. Yes, they are good treatment and control groups. Winning the lottery is a random act, so it makes the independence assumption plausible. Plus, the balance sheet above shows no significant differences in exogenous characteristics between the treatment and control groups. No, they are good treatment and control groups. Winning the lottery is a non-random act, so the independence assumption is likely not met. Plus, the balance sheet above shows significant differences in exogenous characteristics between the treatment and control groups. No, they are good treatment and control groups. Winning the lottery is a random act, so it makes the independence assumption plausible. However, the balance sheet above shows significant differences in exogenous characteristics between the treatment and control groups.
COMPARISON OF LOTTERY PARTICIPANTS TO EIGHTH GRADE NONAPPLICANTS Lottery Participants (1) Student Characteristic Difference (1)-(2) Standard Error of the Difference White Black Hispanic Male 8th grade math percentile score 8th grade reading percentile score Free lunch eligible Receiving special education Ever received bilingual education Living with a biological parent Tract poverty rate Tract fraction high school graduates 0.119 0.460 0.370 0.423 0.526 0.485 0.725 0.116 0.432 0.800 0.218 0.646 Non- Applicants (2) 0.113 0.526 0.338 0.563 0.389 0.368 0.757 0:456 0.358 0.786 0.250 0.638 0.006 -0.066 0.032 -0.139 0.137 0.117 -0.032 -0.140 0.074 0.013 -0.031 0.009 0.003 0.005 0.005 0.005 0.003 0.002 0.004 0.004 0.005 0.004 0.001 0.001
TABLE III TESTING THE VALIDITY OF THE LOTTERIES Participants Enrolled in 9th Grade the Following Fall Effect of Winning Std. Error (5) Lottery All Lottery Losers Participants Mean of Effect of Dep. Var. Winning Std. Error Dependent Variable (1) (2) (3) Student's characteristics at time of application 8th grade math percentile score 0.520 -0.000 0.005 8th grade reading percentile score 0.479 -0.003 0.005 Age 13.951 0.006 0.011 Free-lunch eligible 0.734 0.005- 0.010 Reduced-price lunch eligible 0.106 0.000 0.007 0.112 0.010 0.008 Receiving special education -0.006 0.418 0.008 Ever received bilingual education 0.800 -0.002 0.010 Living with a biological parent 0.615 0.005 0.011 Attends assigned 8th grade school 3.397 0.002 0.048 Number of applications submitted -0.002 -0.004 0.007 0.003 0.000 0.009 -0.005 -0.004 0.015 0.003 0.006 0.005 0.012 0.011 0.008 0.008 0.009 0.010 0.012 0.051