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  • 标题:Local Curvature and Centering Effects in Nonlinear Regression Models
  • 本地全文:下载
  • 作者:Michael Brimacombe
  • 期刊名称:Open Journal of Statistics
  • 印刷版ISSN:2161-718X
  • 电子版ISSN:2161-7198
  • 出版年度:2016
  • 卷号:06
  • 期号:01
  • 页码:76-84
  • DOI:10.4236/ojs.2016.61010
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要:The effects of centering response and explanatory variables as a way of simplifying fitted linear models in the presence of correlation are reviewed and extended to include nonlinear models, common in many biological and economic applications. In a nonlinear model, the use of a local approximation can modify the effect of centering. Even in the presence of uncorrelated explanatory variables, centering may affect linear approximations and related test statistics. An approach to assessing this effect in relation to intrinsic curvature is developed and applied. Mis-specification bias of linear versus nonlinear models also reflects this centering effect.
  • 关键词:Nonlinear Regression;Centering Data;Model Mis-Specification;Bias;Curvature
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