Warren Smith wrote:
Mike Ossipoff in the thus-named post failed to provide any definition or any
theorem as usual, while also failing to answer my question about Hamilton's
method.
Concerning further issues related to Apportionment:
1. Ossipoff's "bias free" method can be cast in a global optimization framework,
as can many other methods (I now know how) including my own.
2. I conjecture that the or a reason why Bishop's simulation from US census
data, failed
to yield good performanxce for O's method, was because he was requiring a
1-seat minimum.
I was requiring a 1-seat minimum. I've also done a simulation with no
minimum (see attached).
Year,Jefferson,Webster,Ossipoff,Hill,Dean,Adams
1790,0.625,0.085714285714285715,0.085714285714285715,-0.27857142857142858,-0.27857142857142858,-0.27857142857142858
1800,0.49411764705882355,0.0,0.0,0.0,0.0,-0.54705882352941182
1810,0.23774509803921567,-0.063725490196078427,-0.063725490196078427,-0.063725490196078427,-0.063725490196078427,-0.63725490196078427
1820,0.69565217391304346,0.0095652173913043474,-0.38521739130434784,-0.38521739130434784,-0.44347826086956521,-0.87739130434782608
1830,0.70695652173913048,0.10173913043478261,0.10173913043478261,0.10173913043478261,-0.066956521739130428,-0.888695652173913
1840,0.63692307692307693,0.23213675213675214,0.23213675213675214,0.23213675213675214,0.23213675213675214,-0.49059829059829058
1850,0.71250000000000002,0.072580645161290328,0.072580645161290328,0.072580645161290328,0.043951612903225808,-0.4629032258064516
1860,0.66284582035949979,-0.017570664629488159,-0.21283422459893048,-0.30878533231474409,-0.46401833460656988,-0.71214667685255917
1870,0.55325706931401164,-0.013750592697961118,-0.013750592697961118,-0.33167377904220008,-0.46491228070175439,-0.80464675201517311
1880,0.70193675456833349,0.29204508151876574,0.15242367873946822,0.15242367873946822,0.15242367873946822,-0.53605427289637819
1890,0.60754321715718884,0.1519594038215982,0.039254378261799554,-0.21649048625792811,-0.21649048625792811,-0.67329105003523604
1900,0.71498221730221168,-0.053295563123876136,-0.19591567852437416,-0.33926218708827405,-0.40144927536231884,-0.7561264822134387
1910,0.63979771222870252,-0.38464384828862164,-0.53290163428923831,-0.53290163428923831,-0.53290163428923831,-0.82744372494603757
1920,0.83541418362270359,-0.044832826747720364,-0.044832826747720364,-0.37320885801128961,-0.37320885801128961,-0.74174989144594006
1930,0.75018999465014713,-0.045592705167173252,-0.045592705167173252,-0.17303517151541467,-0.41283108988276163,-0.83293530178028663
1940,0.83280860332290574,-0.21493703864524533,-0.21493703864524533,-0.34498480243161095,-0.34498480243161095,-0.79743812418584459
1950,0.73325372270146072,-0.2809379070777247,-0.40696917064698218,-0.46309161962657402,-0.46309161962657402,-0.816977854971776
1960,0.78907938701384106,-0.11183673469387755,-0.21210084033613447,-0.21210084033613447,-0.21210084033613447,-0.73954381752701082
1970,0.67430190420166281,-0.030876350540216087,-0.10232893157262905,-0.1537094837935174,-0.19990396158463386,-0.74415366146458584
1980,0.83363346082757916,-0.2473469387755102,-0.32033613445378151,-0.32033613445378151,-0.32033613445378151,-0.8254021608643457
1990,0.59241296518607445,0.020504201680672268,-0.024249699879951982,-0.024249699879951982,-0.12067226890756302,-0.65051620648259301
2000,0.65960767384375729,-0.089363745498199282,-0.089363745498199282,-0.089363745498199282,-0.25637454981992797,-0.64302521008403357
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