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关于广义t统计量和广义秩和统计量在医学研究中的应用。

On the use of the generalized t and generalized rank-sum statistics in medical research.

作者信息

Blair R C, Morel J G

机构信息

Department of Pediatrics, College of Medicine, University of South Florida, Tampa 33620.

出版信息

Stat Med. 1992 Feb 28;11(4):491-501; discussion 503-9. doi: 10.1002/sim.4780110410.

DOI:10.1002/sim.4780110410
PMID:1609180
Abstract

We have used Monte Carlo methods to compare the type I error properties of the conditional and unconditional versions of the generalized t and the generalized rank-sum tests to those of the independent samples t and Wilcoxon rank-sum tests. Results showed inflated type I errors for the conditional generalized tests but not for the unconditional tests. We also compared the power of the unconditional generalized tests to that of the t and Wilcoxon tests under a variety of conditions. Results showed the generalized tests to be much more efficient than their traditional counterparts in some circumstances, but substantially less powerful in others. Based on these and other considerations, we conclude that the application of these newer statistics in medical research needs further consideration.

摘要

我们使用蒙特卡罗方法,将广义t检验和广义秩和检验的条件版本与无条件版本的I型错误属性,与独立样本t检验和威尔科克森秩和检验的I型错误属性进行了比较。结果显示,条件广义检验的I型错误出现膨胀,但无条件检验则不然。我们还在各种条件下,将无条件广义检验的功效与t检验和威尔科克森检验的功效进行了比较。结果表明,广义检验在某些情况下比传统检验更有效,但在其他情况下功效则显著较低。基于这些以及其他考虑因素,我们得出结论,这些较新的统计方法在医学研究中的应用需要进一步考量。

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