Assessing Nonsuperiority, Noninferiority, or Equivalence When Comparing Two Regression Models Over a Restricted Covariate Region

Assessing Nonsuperiority, Noninferiority, or Equivalence When Comparing Two Regression Models Over a Restricted Covariate Region
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DOI:
10.1111/j.1541-0420.2008.01192.x
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发表时间:
2009-12-01
期刊:
影响因子:
1.9
通讯作者:
Wynn, H. P.
Wynn, H. P.
中科院分区:
数学3区
文献类型:
--
作者:
Liu, W.;Bretz, F.;Wynn, H. P.

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在许多科学问题中,比较两个回归模型(描述两个不同组的相同响应变量和多个相同协变量之间的关系)的目的是证明一个模型并不高于另一个模型可忽略的量,或者证明模型仅具有可忽略不计的差异,因此它们可以被视为描述了响应变量和协变量之间几乎相同的关系。在本文中,提出了基于单侧逐点置信带的方法,用于评估一个模型相对于另一个模型的非优越性以及评估两个回归模型的等效性。使用 QT/QTc 研究和药物稳定性研究的例子来说明这些方法。
P>In many scientific problems the purpose of the comparison of two regression models, which describe the relationship between a same response variable and several same covariates for two different groups, is to demonstrate that one model is no higher than the other by a negligible amount, or to demonstrate that the models have only negligible differences and so they can be regarded as describing practically the same relationship between the response variable and the covariates. In this article, methods based on one-sided pointwise confidence bands are proposed for assessing the nonsuperiority of one model to the other and for assessing the equivalence of two regression models. Examples from QT/QTc study and from drug stability study are used to illustrate the methods.