[R] the name of the statistical notation in R

ripley@stats.ox.ac.uk ripley at stats.ox.ac.uk
Tue Jul 2 19:34:25 CEST 2002

On 2 Jul 2002, Adrian Custer wrote:

> Hey everyone,
> I know I've come across this somewhere, in either the blue or white
> books or in one of the help docs but I can't put my hand on it.
> What's the name of the statistical notation used in R?
> responseVar ~ anExplantory:anotherExplantory + thridExplantory
> Is this part of a coherent framework of notation that is as applicable
> to models which are not generalized linear models as to glms?

Yes (and it comes from linear models).  It is a (slightly) modified
version of Rogers-Wilkinson notation

  author       = "G. N. Wilkinson and C. E. Rogers",
  title        = "Symbolic description of factorial models for analysis of
  journal      = "Applied Statistics",
  volume       = "22",
  pages        = "392--399",
  year         = "1973",
  comment      = "Reference from MASS",

also used by Genstat and GLIM.

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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