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Multiple comparisons with the best, with economic applications
Author(s) -
Horrace William C.,
Schmidt Peter
Publication year - 2000
Publication title -
journal of applied econometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.878
H-Index - 99
eISSN - 1099-1255
pISSN - 0883-7252
DOI - 10.1002/(sici)1099-1255(200001/02)15:1<1::aid-jae551>3.0.co;2-y
Subject(s) - inefficiency , confidence interval , population , value (mathematics) , econometrics , frontier , mathematics , mathematical economics , economics , statistics , sociology , geography , microeconomics , demography , archaeology
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 θ i . 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.