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Abstract：
Much of the research on multiple comparison and simultaneous inference in the past 60 years or so has been for the comparisons of several population means. Spurrier seems to have been the first to investigate multiple comparisons of several simple linear regression lines using simultaneous confidence bands. In this paper, we extend the work of Liu et al. for finite comparisons of several univariate linear regression models using simultaneous confidence bands to finite comparisons of several multivariate linear regression models using simultaneous confidence tubes. We show how simultaneous confidence tubes can be constructed to allow more informative inferences for the comparison of several multivariate linear regression models than the current approach of hypotheses testing. The methods are illustrated with examples.
摘要：
在过去的60年左右的时间里，关于多重比较和同时推断的许多研究都是为了比较几种人口手段。Spurrier似乎是第一个使用同时置信带研究几个简单线性回归线的多重比较的人。在本文中,我们扩展了Liu等人的工作。使用同步置信带对几个单变量线性回归模型进行有限比较，使用同步置信管对几个多变量线性回归模型进行有限比较。与当前的假设检验方法相比，我们展示了如何构建同步置信度管，以便为比较几个多元线性回归模型提供更多的信息推断。通过实例说明了这些方法。
