| A | B |
| Adam's Method | uses modified UQ to apportion |
| Jefferson's Method | uses modified LQ to apportion |
| Webster's Method | uses modified Normal Round to apportion |
| Hamilton's Method | uses sort by fraction above LQ to apportion |
| Divisor Methods | result in no paradoxes |
| Largest Fraction Methods | result in no violations of quota rule |
| OR(H4<LQ,H4>UQ) | test for quota rule violation |
| Impossibility Theorm | apportionment methods either can violate quota rule or can result in paradoxes |
| lower quota | rounddown(standard quota) |
| upper quota | roundup(standard quota) |
| modified quota | population/modified divisor |
| new-states paradox | add a state new seats and another state loses seats |
| population paradox | add to population and lose a seat |
| Alabama paradox | add seats and state loses seats |