Estimation of group means in generalized linear mixed models

04/12/2019
by   Jiexin Duan, et al.
0

In this manuscript, we investigate the group mean estimation and prediction for generalized linear models with a subject-wise random effect. Generalized linear models are commonly used to analyze categorical data. The model-based mean for a treatment group usually estimates the response at the mean covariate. It has been argued recently in the literature that the mean response for the treatment group for studied population is at least equally important in the context of clinical trials. New methods were proposed to estimate such a mean response in generalized linear models; however, this has only been done when there are only fixed effects present in the model. We propose a new set of methods that allow both estimation and prediction of the mean response for the treatment group in GLMM models with a univariate subject-wise random effect. Our methods also suggest an easy way of constructing corresponding confidence and prediction intervals for the mean response for the treatment group. Simulation shows that proposed confidence and prediction intervals provide correct empirical coverage probability under most circumstances. Proposed methods have also been applied to analyze hypoglycemia data from diabetes clinical trials.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
02/03/2022

Valid predictions of group-level random effects

Gaussian linear models with random group-level effects are the standard ...
research
07/23/2021

A hierarchical prior for generalized linear models based on predictions for the mean response

There has been increased interest in using prior information in statisti...
research
02/04/2022

Model Averaging for Generalized Linear Models in Fragmentary Data Prediction

Fragmentary data is becoming more and more popular in many areas which b...
research
07/26/2018

Optimal Designs in Multiple Group Random Coefficient Regression Models

The subject of this work is multiple group random coefficients regressio...
research
11/25/2020

Generalized Single Index Models and Jensen Effects on Reproduction and Survival

Environmental variability often has substantial impacts on natural popul...
research
09/22/2020

Application of Dynamic Linear Models to Random Allocation Clinical Trials with Covariates

A recent method using Dynamic Linear Models to improve preferred treatme...
research
08/17/2022

Natural cubic splines for the analysis of Alzheimer's clinical trials

Mixed model repeated measures (MMRM) is the most common analysis approac...

Please sign up or login with your details

Forgot password? Click here to reset