  We discuss difficulties of evaluating partisan gerrymandering in the
congressional districts in Utah and the failure of many common metrics in Utah.
We explain why the Republican vote share in the least-Republican district
(LRVS) is a good indicator of the advantage or disadvantage each party has in
the Utah congressional districts. Although the LRVS only makes sense in
settings with at most one competitive district, in that setting it directly
captures the extent to which a given redistricting plan gives advantage or
disadvantage to the Republican and Democratic parties. We use the LRVS to
evaluate the most common measures of partisan gerrymandering in the context of
Utah's 2011 congressional districts. We do this by generating large ensembles
of alternative redistricting plans using Markov chain Monte Carlo methods. We
also discuss the implications of this new metric and our results on the
question of whether the 2011 Utah congressional plan was gerrymandered.
