Using data on U.S. engineers and the position of engineering jobs with
in firms, this paper estimates a model of hierarchies within firms. Th
e model extends Rosen's (1982) model of recursive production to two sk
ills and multiple hierarchy levels. The model generates an empirical m
odel that is nested within a general Roy (1951) model of self-selectio
n. Maximum likelihood estimates of the parameters of the production te
chnology and the skill-experience profiles are estimated. The results
suggest that approximately two-thirds of changes in employment shares
across hierarchy levels across time are explained by demographic shift
s in the stock of engineering skills. Most of the returns to experienc
e and to assignment to higher hierarchy levels within firms are caused
by skill accumulation and self-selection rather than technological di
fferences across hierarchy levels.