Abstract
Given data on two or three variables we are interested in fitting a line or plane
for the purposes of modelling the relationship between these variables. Most of
the literature on this subject approaches this problem by selecting one of these
variables and treating it differently from the others in the fitting procedure.
This is acceptable if the purpose is to make predictions of that variable, but
if we are seeking an underlying scientific law or a law-like relationship then
it would seem more reasonable to treat all variables in the same way, unless
there are particular reasons for not doing so. Thus in this paper we consider
procedures for fitting lines or planes which treat all the variables equally.
for the purposes of modelling the relationship between these variables. Most of
the literature on this subject approaches this problem by selecting one of these
variables and treating it differently from the others in the fitting procedure.
This is acceptable if the purpose is to make predictions of that variable, but
if we are seeking an underlying scientific law or a law-like relationship then
it would seem more reasonable to treat all variables in the same way, unless
there are particular reasons for not doing so. Thus in this paper we consider
procedures for fitting lines or planes which treat all the variables equally.
| Original language | English |
|---|---|
| Title of host publication | Algorithms for Approximation |
| Editors | A. Iske, J. Levesley |
| Publisher | Springer Nature Link |
| Pages | 259-268 |
| Number of pages | 10 |
| ISBN (Print) | 978-3-540-33283-1 |
| Publication status | Published - 2007 |
| Event | 5th International Conference on Algorithms for Approximation - Chester Duration: 17 Jul 2005 → 21 Jul 2005 |
Conference
| Conference | 5th International Conference on Algorithms for Approximation |
|---|---|
| City | Chester |
| Period | 17/07/05 → 21/07/05 |