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Testing for Heteroscedasticity and/or Autocorrelation in Longitudinal Mixed Effect Nonlinear Models with AR(1) Errors
Authors:Jin-Guan Lin  Bo-Cheng Wei
Institution:1. Department of Mathematics , Southeast University , Nanjing, China;2. Department of Mathematics , Jiangsu Institute of Education , Nanjing, China jglin@seu.edu.cn;4. Department of Mathematics , Southeast University , Nanjing, China
Abstract:The effect of influental observation son the parameter estimates of ordinary least squares regression models has received considerable a t t e n t i o n fn the last decade. However, very little attention has been given to the problem of influential observation sinthea naysis of variace . The purpose of this paper is to show by way of examples that in fluential observations can alter the conclusions of tests of hypotheses in the analysis of variance . Regression diagno stics for identifying both extreme points and out liers can be used toreveal potential data and design problems.
Keywords:AR(1) errors  Autocorrelation  Heteroscedasticity  Longitudinal Data  Maximum likelihood  Nonlinear regression  Random effects  Score test
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