title: Fieller's theorem, Scheffé simultaneous confidence intervals, and ratios of parameters of linear and nonlinear mixed-effects models.
abstract: 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.
authors.affiliation: Department of Preventive Medicine and Biometrics, University of Colorado School of Medicine, Denver 80262, USA.
authors.forename: D A
authors.initials: DA
authors.lastname: Young
authors.forename: G O
authors.initials: GO
authors.lastname: Zerbe
authors.forename: W W
authors.initials: WW
authors.lastname: Hay
mesh_terms: D000818:Animals; D001699:Biometry / Q000379:methods*; D001786:Blood Glucose / Q000378:metabolism; D016001:Confidence Intervals; D005260:Female; D005333:Fetus; D005865:Gestational Age; D005947:Glucose / Q000378:metabolism; D008431:Maternal-Fetal Exchange; D015233:Models, Statistical; D010920:Placenta; D011247:Pregnancy; D012756:Sheep
chemical_list: D001786:Blood Glucose; D005947:Glucose