Fieller's theorem, Scheffe simultaneous confidence intervals, and ratios of parameters of linear and nonlinear mixed-effects models

被引：24

作者：

Young, DA ^{[1
]}

Zerbe, GO ^{[1
]}

Hay, WW ^{[1
]}

机构：

[1] UNIV COLORADO,SCH MED,DEPT PEDIAT,DIV PERINATAL MED,DENVER,CO 80262

来源：

BIOMETRICS | 1997年 / 53卷 / 03期

关键词：

EM algorithm; fetal physiology; Fieller's theorem; longitudinal data; mixed-effects models; nonlinear models; ratios; simultaneous confidence intervals; slope-ratio bioassay;

D O I：

10.2307/2533546

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The issue of joint confidence region and simultaneous confidence interval estimation for ratios of the parameters of a nonlinear mixed-effects model is addressed using a Fieller's theorem approach. The method presented is similarly applicable to linear mixed-effects models. In addition, previous work on linear fixed-effects models is demonstrated to be a special case of the present method. The methodology is applied to the ratios of slopes in a study of gestational maturation of placental glucose transfer capacity in sheep.

引用

页码：838 / 847

页数：10

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