A Simple Approach to Fitting Non - Standard GEEs
نویسنده
چکیده
In this paper we present an easy estimation approach for solving non-standard GEEs based on global optimization methods. Our approach has the added advantage that it can be easily implemented using existing software, such as the subroutine nlminb in Splus, which also allows for the inclusion of constraints. To illustrate our approach, we fit a non-linear dose response model with constraints to clustered binary data from a developmental toxicity study.
منابع مشابه
A Recursive Approximation Approach of non-iid Lognormal Random Variables Summation in Cellular Systems
Co-channel interference is a major factor in limiting the capacity and link quality in cellular communications. As the co-channel interference is modeled by lognormal distribution, sum of the co-channel interferences of neighboring cells is represented by the sum of lognormal Random Variables (RVs) which has no closed-form expression. Assuming independent, identically distributed (iid) RVs, the...
متن کاملModel-Fitting Approach to Kinetic Analysis of Non-Isothermal Oxidation of Molybdenite
The kinetics of molybdenite oxidation was studied by non-isothermal TGA-DTA with heating rate 5 ºC.min-1.The model-fitting kinetic approach applied to TGA data .The Coats-Redfern method used for model fitting. The popular model-fitting gives excellent fit for non-isothermal data in chemically controlled regime. The apparent activation energy was determined to be about 34.2 kcalmo...
متن کاملNew Approach in Fitting Linear Regression Models with the Aim of Improving Accuracy and Power
The main contribution of this work lies in challenging the common practice of inferential statistics in the realm of simple linear regression for attaining a higher degree of accuracy when multiple observations are available, at least, at one level of the regressor variable. We derive sufficient conditions under which one can improve the accuracy of the interval estimations at quite affordable ...
متن کاملUsing Generalized Estimating Equations for Longitudinal Data Analysis
The generalized estimating equation (GEE) approach of Zeger and Liang facilitates analysis of data collected in longitudinal, nested, or repeated measures designs. GEEs use the generalized linear model to estimate more efficient and unbiased regression parameters relative to ordinary least squares regression in part because they permit specification of a working correlation matrix that accounts...
متن کاملEffects of the Soil-Foundation-Structure Interaction on the Component Demand Modifier Factor of Concrete Gravity Beams based on ASCE 41-06 Standard
The aim of the present paper is to evaluate the influence of the Soil- Foundation- Structure Interaction (SFSI) effects on the component demand modifier factor of concrete gravity beams based on ASCE 41-06 standard. To this end, the beam on the nonlinear Winkler foundation approach is employed which is a simple and efficient method. At first, four sets of 3-, 6-, 10- and 15-storey concrete mome...
متن کامل