The 2009 Public Employment Survey uses a new multi-stage sample method which combines cut-off sampling based on unit size with stratified sampling to reduce the sample size, save resources, and improve the precision of the estimates. In this paper, we propose fitting either two separate linear models within size-based strata or one overall, based on the results of a hypothesis test of equality of the model coefficients. We will study the properties and variance of this estimation method. Data from the 2007 Census of Government Employment will be used to compare our method to previous regression method.