EVALUATION OF VARIANCE ESTIMATORS FOR THE CONCENTRATION AND HEALTH ACHIEVEMENT INDICES: A MONTE CARLO SIMULATION
通过蒙特卡洛模拟比较集中指数和健康成就指数的多种方差估计方法，发现解析法和自助法表现良好，而回归法在集中指数较大时可能低估标准误。
Although the concentration index (CI) and the health achievement index (HAI) have been extensively used, previous studies have relied on bootstrapping to compute the variance of the HAI, whereas competing variance estimators exist for the CI. This paper provides methods of statistical inference for the HAI and compares the available variance estimators for both the CI and the HAI using Monte Carlo simulation. Results for both the CI and the HAI suggest that analytical methods and bootstrapping are well behaved. The convenient regression method gives standard errors close to the other methods, provided the CI is not too large (< 0.2), but otherwise tends to understate the standard errors. In our simulation setting, the improvement from the Newey-West correction over the convenient regression method has mixed evidence when the CI ≤ 0.1 and is modest when the CI > 0.1. Published 2011. This article is a US Government work and is in the public domain in the USA.