This article introduces a new measure of bureaucratic representation that p
rovides a more complete view of a demographic group's potential to be effec
tively represented by its members in a bureaucracy. It does so by combining
information about a group's overall presence in the bureaucracy (penetrati
on) with information that reflects its distribution over the hierarchy (str
atification). Specifically, we focus on how groups are distributed in the r
egular (i.e., career) bureaucratic hierarchies of American state government
s. By comparing our measure to the most frequently used measure of represen
tation (the penetration ratio), we demonstrate that it successfully capture
s both presence and stratification information, and thereby it offers an im
proved tool for analyzing representation in bureaucratic hierarchies.