Re: Ordinal variable considered as quantitative ?
- From: lloyd.frombriz@xxxxxxxxxxxx
- Date: 25 Jun 2006 16:23:20 -0700
Loïc BRANCHERIAU wrote:
Dear all,
I am new in the forum and my question is about ordinal variable.
The details of the experiment are :
- A xylophone maker was asked to classify 60 sounds (60 xylophone bars made
with different species of wood). So the sounds were ranked from 1 (the best
quality) to 60 (the worst).
- The wooden bars were then characterized by acoustic parameters (duration,
brightness, temporal damping, spectral center of gravity...) and by material
parameters (young's modulus, density...). All these parameters are
quantitative variables.
The main objectives of the study are:
- Which parameter(s) explain the classification?
- does exist a combination of parameters which can estimate the
classification?
To reach the objectives, can I use the multivariate regression analysis (PCR
and MLR) considering the ordinal variable Classification as quantitative? Do
exist other multivariate analysis methods to be used with an ordinal
variable?
You might want to look at some kind of optimal scoring using
alternating least squares as is done by SAS PROC TRANSREG. You will
also want to let go of the idea that there is necessarily a linear
solution, as well... nonlinear models may describe things much better.
Also, if there was ranking by multiple judges, there is not likely to
be a single ordering. Read up on PREFMAP, which can also be done by
PROC TRANSREG.
cheers,
LFB
.
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- From: Loïc BRANCHERIAU
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