Skip to main content

Part of the book series: Statistics and Computing ((SCO))

Abstract

In linear regression the mean surface in sample space is a plane; in non-linear regression it may be an arbitrary curved surface but in all other respects the models are same. Fortunately in practice the mean surface in most non-linear regression models will be approximately planar in the region of highest likelihood, allowing some good approximations based on linear regression techniques to be used, but non-linear regression models can still present tricky computational and inferential problems.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. In S-PLUS 3.4 and earlier (and possibly later!) there is a bug which may be avoided if the order in which the parameters appear in the start vector is the same as the order in which they first appear in the model. It is as if the names attribute were ignored.

    Google Scholar 

  2. Included in S-PLUS 3.4 and later, and also available from the statlib archive as a library.

    Google Scholar 

  3. If nlme is being used as a library under Unix, these will be in library nlmedata .

    Google Scholar 

  4. Professor Douglas Bates has kindly permitted us to include his predict . nls and anovanis methods in our MASS library.

    Google Scholar 

  5. and differently from the help page which has information.

    Google Scholar 

  6. For this rather complicated-looking model specification, using deriv3 to produce a model function with gradient and hessian attributes may cause memory overflow problems on some machines.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer Science+Business Media New York

About this chapter

Cite this chapter

Venables, W.N., Ripley, B.D. (1997). Non-linear Models. In: Modern Applied Statistics with S-PLUS. Statistics and Computing. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2719-7_9

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-2719-7_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-2721-0

  • Online ISBN: 978-1-4757-2719-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics