Multiple comparisons with the best, with economic applications
向经济学家介绍一种名为“与最佳者的多重比较”的统计方法，该方法为多个总体与最佳总体之间的差异构建联合置信区间，并详细展示了其在面板数据随机前沿模型效率测度及劳动力市场工资差距分析中的应用。
In this paper we discuss a statistical method called multiple comparisons with the best, or MCB. Suppose that we have N populations, and population i has parameter value θi. Let $\theta _{(N)}={\rm max}_{i=1,\ldots ,N}\theta _{i}$\nopagenumbers\end, the parameter value for the 'best' population. Then MCB constructs joint confidence intervals for the differences $[\theta _{(N)}-\theta _{1},\theta _{(N)}-\theta _{2},\ldots ,\theta _{(N)}-\theta _{N}]$\nopagenumbers\end. It is not assumed that it is known which population is best, and part of the problem is to say whether any population is so identified, at the given confidence level. This paper is meant to introduce MCB to economists. We discuss possible uses of MCB in economics. The application that we treat in most detail is the construction of confidence intervals for inefficiency measures from stochastic frontier models with panel data. We also consider an application to the analysis of labour market wage gaps. Copyright © 2000 John Wiley & Sons, Ltd.