| model | sq terms | rank | log scale | R2 | standard error | difference: mean female residual | z-score | R2 | standard error | difference: mean female residual | z-score | R2 | standard error | difference: mean female residual | z-score |
| models with rank variable | |||||||||||||||
| 1 | y | y | y | 0.74 | 2.36% | -0.90% | -0.38 | 0.61 | 2.23% | -0.20% | -0.09 | 0.58 | 2.41% | 0.11% | -0.05 |
| 2 | y | y | n | 0.63 | 995 | -291 | -0.29 | 0.51 | 1,826 | -307 | -0.17 | 0.47 | 2334 | -608 | -0.26 |
| 5 | n | y | y | 0.74 | 2.31% | -1.12% | -0.48 | 0.61 | 2.19% | -0.18% | -0.08 | 0.57 | 2.38% | -0.09% | 0.04 |
| 6 | n | y | n | 0.63 | 956 | -345 | -0.36 | 0.51 | 1780 | -277 | -0.16 | 0.45 | 2251 | -372 | -0.17 |
| models without rank variable | |||||||||||||||
| 3 | y | n | y | 0.62 | 2.71% | -3.38% | -1.25 | 0.47 | 2.69% | -2.84% | -1.06 | 0.45 | 2.93% | -0.89% | -0.30 |
| 4 | y | n | n | 0.53 | 1,164 | -1313 | -1.13 | 0.40 | 2,086 | -1726 | -0.82 | 0.38 | 2,673 | -925 | -0.35 |
| 7 | n | n | y | 0.58 | 2.92% | -5.83% | -2.00 | 0.43 | 2.82% | -4.93% | -1,75 | 0.38 | 3.11% | -3.96% | -1.27 |
| 8 | n | n | n | 0.52 | 1,193 | -2095 | -1.76 | 0.38 | 2,091 | -2984 | -1.43 | 0.32 | 2,671 | -2957 | -1.11 |
Note: All of the above models use the original discipline groups used in the initial Washington University study of 1986-87 data supervised by Mary Gray, Professor of Mathematics and Statistics at American University. The original selection of 11 aggregation groups appears to reflect a perception of national faculty characteristics in the 1980's.
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