论文信息 - Leverage and Superleverage in Nonlinear Regression

Leverage and Superleverage in Nonlinear Regression

Abstract Several measures of the leverage of an observation in a nonlinear regression model are defined and developed. In contrast to the upper bound on the leverage in a linear model, it is found that in a nonlinear model the leverage of an observation may exceed 1. Such a case is said to exhibit superleverage. Relationships between the leverage measures are explored, and several examples are developed to illustrate the proposed methodology.

R. Dennis Cook | Roy T. St. Laurent | R. Cook | R. S. Laurent

[1] S. Weisberg,et al. Residuals and Influence in Regression , 1982 .

[2] Chih-Ling Tsai,et al. Bias in nonlinear regression , 1986 .

[3] David C. Hoaglin,et al. Leverage in Least Squares Additive-Plus-Multiplicative Fits for Two-Way Tables , 1984 .

[4] Ib M. Skovgaard,et al. A Second-Order Investigation of Asymptotic Ancillarity , 1985 .

[5] J. Witmer,et al. Nonlinear Regression Modeling. , 1984 .

[6] Franklin A. Graybill,et al. An Analysis of a Two-Way Model with Interaction and No Replication , 1972 .

[7] David W. Bacon,et al. Estimating the transition between two intersecting straight lines , 1971 .

[8] D. G. Watts,et al. Relative Curvature Measures of Nonlinearity , 1980 .

[9] Douglas M. Bates,et al. Nonlinear Regression Analysis and Its Applications , 1988 .

[10] W. H. Ross,et al. The geometry of case deletion and the assessment of influence in nonlinear regression , 1987 .