This note examines two modeling alterations of Barabas and Jerit's (2004) analysis of the influence of redistricting principles on minority representation in congressional districts. The size of states and the fact that some states cannot have majority-minority or minority-influence districts is taken into account in these new analyses. Overall, even with these two important alterations, Barabas and Jerit's findings are largely replicated. However, two of their most prominently reported findings—that a compactness requirement for redistricting is associated with both fewer majority-minority and minority-influence districts—are not corroborated.