Abstract: The problem of estimating a proportion has important
applications in the field of economics, and in general, in many areas
such as social sciences. A common application in economics is
the estimation of the headcount index. In this paper, we define the
general headcount index as a proportion. Furthermore, we introduce
a new quantitative method for estimating the headcount index. In
particular, we suggest to use the logistic regression estimator for the
problem of estimating the headcount index. Assuming a real data set,
results derived from Monte Carlo simulation studies indicate that the
logistic regression estimator can be more accurate than the traditional
estimator of the headcount index.