A Comparison of Jackknife Estimators ofVariance for GEE
نویسندگان
چکیده
Marginal regression modeling with generalised estimating equations became very popular in the last decade. While the mean structure is of primary interest in rst-order generalised estimating equations (GEE1), second-order generalised estimating equations (GEE2) allow the estimation of both the mean and the association structure. It has repeatedly been shown that the usual robust variance estimator for the GEE1 is conservative , especially in small samples. As an alternative, the jackknife estimator of variance can be used. In this discussion paper, we extend the diierent jackknife estimators of variance to GEE2 models. The variance estimators are compared in a simulation study. While there is only little diierence in the variance estimates of the mean structure across simulated models, the results diier substantially with respect to the association structure. The fully iterated jackknife estimator seems to be the most appropriate when focusing on the GEE2.
منابع مشابه
A covariance estimator for GEE with improved small-sample properties.
In this paper, we propose an alternative covariance estimator to the robust covariance estimator of generalized estimating equations (GEE). Hypothesis tests using the robust covariance estimator can have inflated size when the number of independent clusters is small. Resampling methods, such as the jackknife and bootstrap, have been suggested for covariance estimation when the number of cluster...
متن کاملEstimation Methods for the Parameters of Birnbaum-Saunders Distribution
Abstract: Depending on the type of distribution, estimation of parameters are not sometimes simple in practice. In particular, this is the case for Birnbaum-Saunders distribution (BS). In this article, we present four different methods for estimating the parameters of a BS distribution. First, a simple graphical technique, analogous to probability plotting, is used to estimate the parameters an...
متن کاملEstimating Variance of the Sample Mean in Two-phase Sampling with Unit Non-response Effect
In sample surveys, we always deal with two types of errors: Sampling error and non-sampling error. One of the most common non-sampling errors is nonresponse. This error happens when some sample units are not observed or viewed but they do not answer some of the questions. The complete prevention of this error is not possible, but it can be significantly reduced. The non-response causes bias and ...
متن کامل1984: a Comparison of Variance Estimators Using the Taylor Series Approximation
The selection of a variance estimator for large complex sample surveys is not straightforward. Most of the methods of variance estimstion for such surveys are b~sed upon some form of repeated subsampling. The random group, jackknife and balanced repeated replication methods differ primarily in the procedures for forming the subsamples. Previous comparative studies have been primarily empirical....
متن کاملThe Efficiency of Modified Jackknife and Ridge Type Regression Estimators: a Comparison
A common problem in multiple regression models is multicollinearity, which produces undesirable effects on the least squares estimator. To circumvent this problem, two well known estimation procedures are often suggested in the literature. They are Generalized Ridge Regression (GRR) estimation suggested by Hoerl and Kennard [8] and the Jackknifed Ridge Regression (JRR) estimation suggested by S...
متن کامل