HuntingtonHill
Method
Also known as the Method of Equal Proportions.
 Current method used to apportion U.S. House
 Developed around 1911 by Joseph A. Hill, Chief
Statistician of the Bureau of the Census and Edward V. Huntington, Professor of Mechanics
& Mathematics, Harvard
 Preliminary terminology: The Geometric Mean
Procedure:
 Calculate the Standard Divisor.
 Calculate each state’s Standard Quota.
 Initially assign a state its Lower Quota if the fractional part
of its Standard Quota is less than the Geometric Mean of the two whole numbers that the
Standard Quota is immediately between (for example, 16.47 is immediately between 16 and
17).
Initially assign a state its Upper
Quota if the fractional part of its Standard Quota is greater than or equal to the
Geometric Mean of the two whole numbers that the Standard Quota is immediately between
(for example, 16.47 is immediately between 16 and 17).
[In other words, round down or up based on the geometric mean.]
 Check to see if the sum of the Quotas (Lower and/or Upper
from Step 3) is equal to the correct number of seats to be apportioned.
 If the sum of the Quotas (Lower and/or Upper from Step 3)
is equal to the correct number of seats to be apportioned, then apportion to each state
the number of seats equal to its Quota (Lower or Upper from Step 3).
 If the sum of the Quotas (Lower and/or Upper from Step 3)
is NOT equal to the correct number of seats to be apportioned, then, by trial and error,
find a number, MD, called the Modified Divisor to use in place of the
Standard Divisor so that when the Modified Quota, MQ, for each
state (computed by dividing each State's Population by MD instead of SD)
is rounded based on the geometric mean, the sum of all the rounded Modified Quotas
is the exact number of seats to be apportioned. Apportion each state its Modified Rounded
Quota.
Problem:
