[R] MA / RMA / Type II regression?

[Prof Brian D Ripley]

On Tue, 8 Feb 2000, Laurent Gautier wrote:

> Prof Brian D Ripley wrote:
> 
> > > MA is not so much a regression, according to this paper, but rather the
> > > major axis of the corellation ellipse (assuming equal scales in the X and Y
> > > axes).
> >
> > More accurately the covariance ellipse.
> >
> > There are lots of related things under names like functional relationships
> > and structural relationships, so this is almost certainly in Fuller's
> 
> >
> > of Seber's or Sprent's books.
> >
> 
> All this teased my curiosity. I looked for possible references corresponding to
> these names and ended up with the following books.
> Since I only have the references but no further description, could tell me if they
> are the books you thought about, and eventually give short comments about them (so
> I can have valuable indication on which one I should go first) ?
> 

W. Fuller Measurement Error Models. Wiley 1987.
The most comprehensive.

> Multivariate Observations
> by G. A. F. Seber
> 1 edition (April 30, 1984)
> John Wiley & Sons; ISBN: 047188104X

The linear models one:

Seber, G.A.F. Linear Regression Analysis Wiley 1977

> Data Driven Statistical Methods (Chapman & Hall Texts in Statistical Science
> Series)
> by Sprent
> Hardcover 1 Ed edition (March 1998)
> CRC Press; ISBN: 041279540X

There is a much earlier one, I think

Sprent, P. Models in Regression and Related Topics. Methuen, 1969.

It is 15 years since I worked on this, but looking up the terms I mentioned
should get you to the details in those books.


-- 
Brian D. Ripley,                  ripley at stats.ox.ac.uk
Professor of Applied Statistics,  http://www.stats.ox.ac.uk/~ripley/
University of Oxford,             Tel:  +44 1865 272861 (self)
1 South Parks Road,                     +44 1865 272860 (secr)
Oxford OX1 3TG, UK                Fax:  +44 1865 272595

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