Aggregate versus Disaggregate Data in Measuring School Quality

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Variance Estimates Dis. Within Sch. 0.560 0.018 Dis. Between Sch. 0.070 0.015 Agg.Within Sch. 0.537 0.358 Agg Between Sch. 0.066 0.026 Note: Results are for 100 simulations, each including 100 schools. The number of students per school is a lognormal random variable with mean 20 and variance 250. Mean is the average over all simulations, RMSE is root mean squared error, Top Ten is the average number of schools ranked top ten with the estimator, that belong to the true top ten set. 5
Table 4. Estimates of school quality using aggregate vs. disaggregate data for large schools. Measure Type of estimator Mean Std.Dev. Spearman Disaggregate 0.9560 0.0153 Std. disaggregate 0.9557 0.0155 Aggregate 0.9425 0.0198 Std. aggregate 0.9438 0.0195 OLS 0.9437 0.0197 RMSE Disaggregate 0.0744 0.0123 Std. disaggregate 0.2913 0.0480 Aggregate 0.0904 0.0200 Std. aggregate 0.3280 0.0529 OLS 0.0846 0.0139 Top Ten Disaggregate 8.08 1.020 Std. disaggregate 8.08 1.020 Aggregate 7.66 1.151 Std. aggregate 7.77 1.069 OLS 7.81 1.085 School Size Avg. Real Group 301.07 96.76 In Top Ten Group Disaggregate 313.28 101.81 Std. disaggregate 302.47 100.95 Aggregate 330.69 102.75 Std. aggregate 313.33 96.67 OLS 297.42 99.50 6
Page 1 and 2: Aggregate versus Disaggregate Data
Page 3 and 4: Aggregate versus Disaggregate Data
Page 5 and 6: Another problem with using aggregat
Page 7 and 8: iefly here. However, little effort
Page 9 and 10: and dividing by the number of stude
Page 11 and 12: 2 4 −1 ' −1 ' −1 (7) Cov( u |
Page 13 and 14: y V a . Following a procedure analo
Page 15 and 16: equation (2). Then measurement erro
Page 17 and 18: is 1 2 2 σ u + σ e / n ) such as
Page 19 and 20: Results show that when many small s
Page 21 and 22: References Clotfelter, C. T., & Lad
Page 23 and 24: Table 1. Estimates of school qualit
Page 25 and 26: Table 2. Estimates of school qualit
Page 27: Table 3. Estimates of school qualit
Page 31 and 32: Appendix Derivation of the aggregat
Page 33: 2 ⎡u⎤ ⎛ ⎡ ⎜ ⎡0 ⎤ σ u

Aggregate versus Disaggregate Data in Measuring School Quality

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