[EM] Apportionment bias simulation

2006-12-25 Thread Dan Bishop
This was performed in response to Mike's argument that Hill's apportionment method is more biased than Webster's. (As you will see, he's right.) In my simulation, I assumed: * There are 50 states and 435 seats. * Each state is guaranteed one seat. That is, a state with population p is given

Re: [EM] Apportionment bias

2006-12-11 Thread Abd ul-Rahman Lomax
At 11:39 PM 12/10/2006, Warren Smith wrote: > claim by this same (standard) definition, all other apportionment >methods so far discussed, generically exhibit bias. Note that Asset Voting with precinct-based vote transfers produces virtual districts and practically exact proportional representat

[EM] Apportionment bias

2006-12-10 Thread Warren Smith
To clarify: I claim my randomized rounding method has zero bias. This is based on the mathematical defintion of bias used by statisticians: a quantity whose expectation value is the value it is supposed to be, is "unbiased" otherwise it is "biased." You can design it to leave X unbiased where X i