Some of the distributional properties of the moment estimator (ρ*) for the shape parameter, ρ, of the two parameter gamma distribution are determined and compared with previously known results for the maximum likelihood estimatorand Thom’s estimator (ρT). Methods are described for finding approximations to the percentage points and cumulative distribution function of ρ*. Two graphs are given which permit the computation of confidence Intervals for ρ based on ρ*computed from a sample of n observations. The first four sampling moments of p*, found by Monte Carlo simulation, are compared, are compared with previously known sampling moments forand ρT.