MIKE OSSIPOFF wrote: > > For instance, someone recently posted that Webster and Hill gave the > same allocation for 2000. But, in the censuses where they differ, how > does their bias compare? And if anyone is going to do such comparisons, > I'd suggest testing Bias-Free along with Hamilton, Hill, and Webster.
I've computed apportionment based on the 1790 census (http://www.thirty-thousand.org/pages/first_veto.htm), considering the five divisor methods (Jefferson, Webster, Hill, Dean, and Adams) plus Hamilton (both Hare and Droop Quota versions). For a historically-accurate House size of 105, these seven methods produce only three unique apportionments: (1) Hamilton (Droop), Hamilton (Hare), and Webster give the apportionment Connecticut: 7 Delaware: 2 Georgia: 2 Kentucky: 2 Maryland: 8 Massachusetts: 14 New Hampshire: 4 New Jersey: 5 New York: 10 North Carolina: 10 Pennsylvania: 13 Rhode Island: 2 South Carolina: 6 Vermont: 2 Virginia: 18 Most underrepresented state: Vermont (42,766.5 persons/district) Most overrepresented state: Delaware (27,770 persons/district) Greatest representation disparity ratio: 1.5400 Large-state bias (Pearson): -0.0111 Large-state bias (Spearman): +0.0857 (2) Hill, Dean, and Adams give the apportionment Connecticut: 7 Delaware: 2 Georgia: 2 Kentucky: 2 Maryland: 8 Massachusetts: 14 New Hampshire: 4 New Jersey: 5 New York: 10 North Carolina: 10 Pennsylvania: 12 Rhode Island: 2 South Carolina: 6 Vermont: 3 Virginia: 18 Most underrepresented state: Pennsylvania (36073.25 persons/district) Most overrepresented state: Delaware (27,770 persons/district) Greatest representation disparity ratio: 1.2990 Large-state bias (Pearson): -0.3842 Large-state bias (Spearman): -0.2786 (3) Jefferson's method gives the apportionment Connecticut: 7 Delaware: 1 Georgia: 2 Kentucky: 2 Maryland: 8 Massachusetts: 14 New Hampshire: 4 New Jersey: 5 New York: 10 North Carolina: 10 Pennsylvania: 13 Rhode Island: 2 South Carolina: 6 Vermont: 2 Virginia: 19 Most underrepresented state: Delaware (55,540 persons/district) Most overrepresented state: New York (33,158.9 persons/district) Greatest representation disparity ratio: 1.6750 Large-state bias (Pearson): +0.4963 Large-state bias (Spearman): +0.6250 ---- election-methods mailing list - see http://electorama.com/em for list info
