Residuals in Nonlinear Regression.
Abstract
The authors employ a quadratic expansion to investigate the behavior of the ordinary residuals in nonlinear regression. In particular, they derive quadratic approximations for the mean and variance of the ordinary residuals, and the covariances between the ordinary residuals and the fitted values. This investigation leads to the conclusion that the ordinary residuals can produce misleading results when used in diagnostic methods analogous to those for linear regression. Consequently, a new type of residual that overcomes many of the potential shortcomings of the ordinary residuals is suggested. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1984
- Accession Number
- ADA139309
Entities
People
- C. L. Tsai
- R. D. Cook
Organizations
- University of Wisconsin–Madison