The battle began when Utah sued the U.S. Census Bureau over census data-gathering techniques that cost Utah a congressional seat, handing it to North Carolina.
The showdown -- Utah v. Evans -- made its way to the U.S. Supreme Court Wednesday and had the justices questioning the constitutionality of "hot deck" imputation -- a practice used to gather census data.
Hot deck imputation is the process of assigning occupancy to a residence based on the data of the nearest neighbor.
The U.S. Census Bureau has used hot deck imputation to determine population in past censuses, but the standards for the 2000 census were less stringent than in previous years. The looser standards are constitutionally suspect as they might qualify as a form of sampling, which the Supreme Court has previously ruled unconstitutional.
In 1999, the Supreme Court ruled 5-4 to prohibit "the use of statistical sampling in calculating a population for purposes of apportionment" but did not strike down the use of any statistical methods whatsoever.
During the hearing Wednesday, Utah counsel Thomas Lee argued that inferring the population of a home based on that of a neighboring residence is unconstitutional because making such an inference goes beyond using a mere statistical method for gathering data.
"That's sampling," he said. "Sampling is taking information about a part to make an inference about the whole."
But U.S. Solicitor General Theodore Olson, who represented the federal government, argued that estimating occupancy in a select few cases is not a form of sampling.
"Sampling technique is completely discrete from the imputation technique," Olson said. "In my thinking of it, it is drawing logical inference from the data available."