  Presidential primaries are a critical part of the United States Presidential
electoral process, since they are used to select the candidates in the
Presidential election. While methods differ by state and party, many primaries
involve proportional delegate allocation using the so-called Hamilton method.
In this paper we show how to conduct risk-limiting audits for delegate
allocation elections using variants of the Hamilton method where the viability
of candidates is determined either by a plurality vote or using instant runoff
voting. Experiments on real-world elections show that we can audit primary
elections to high confidence (small risk limits) usually at low cost.
