Krishnamoorthy K, Lu Yong
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504, USA.
Biometrics. 2003 Jun;59(2):237-47. doi: 10.1111/1541-0420.00030.
This article presents procedures for hypothesis testing and interval estimation of the common mean of several normal populations. The methods are based on the concepts of generalized p-value and generalized confidence limit. The merits of the proposed methods are evaluated numerically and compared with those of the existing methods. Numerical studies show that the new procedures are accurate and perform better than the existing methods when the sample sizes are moderate and the number of populations is four or less. If the number of populations is five or more, then the generalized variable method performs much better than the existing methods regardless of the sample sizes. The generalized variable method and other existing methods are illustrated using two examples.
本文介绍了几个正态总体共同均值的假设检验和区间估计程序。这些方法基于广义p值和广义置信限的概念。对所提方法的优点进行了数值评估，并与现有方法进行了比较。数值研究表明，当样本量适中且总体数量为四个或更少时，新程序是准确的，并且比现有方法表现更好。如果总体数量为五个或更多，那么无论样本量大小，广义变量法都比现有方法表现得好得多。通过两个例子说明了广义变量法和其他现有方法。
