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Whether those in a socioeconomic class have greater or lesser access to 
resources is of no relevance to whether a data set is ordinal or 
nominal in character. Whether data are nominal, ordinal, or 
interval/ratio data is determined by the nature of the data themselves. 
Nominal data are categories, as stated, ordinal data has order but no 
distance, while interval data is characterized by order and distance. 
The only difference between interval and ratio data is that a ratio 
data set has a real zero point. Interval data generally has a 
conventional zero point.

The locus classicus is S S Stevens, although his definitions are 
complex and involve mathematical transformations. Some introductory 
statistics books provide simpler definitions than Stevens does of these 
different data scale types, as Stevens calls them.  I have defined them 
in the simplest way possible. How any given data scale type is used is 
determined by the theoretical context in which it is embedded. 

A number of statistical texts differentiate among different statistical 
procedures in terms of whether they are appropriate to a given data 
scale type. For instance, Pearson's r assumes an interval data set, 
while Spearman's rho assumes an ordinal data set. Each of these two 
statistics is appropriate to a different data scale type. However, not 
all statistics texts arrange their statistical procedures in this way.

Whether ordinal data is treated as being nominal in character depends 
on the way it is being used. Effectively, you are not taking account of 
information that is contained in the data. But, depending on the 
theoretical context being used, that may not matter. 

If the ONS contends that derived SEC data can't be regarded as ordinal 
but must be treated as nominal for analytical purposes, that depends on 
the nature of the derivation, or transformation, the data has 
undergone. Not all transformations alter the data's scale type. And 
that has to be what they are claiming for what they say to make any 
sense. What they should say is that if a transformation of a data set 
alters its scale type, that is, loses information that is contained in 
the original data, then one must use a data scale type analysis that 
does not depend on what has been lost. So, if ordered data, ordinal 
data, is transformed in such a way that the order is lost, then one 
must use a statistic where order is irrelevant, one designed for 
nominal data.

A good question to ask them is why they are transforming the data they 
have in this way, since there is no iron clad rule that says it must be 
done like this. I would suspect they have a ready answer.

Larry

------ Original Message ------
From: "Naoko Skiada" <[log in to unmask]>
To: [log in to unmask]
Sent: 23/11/2012 16:08:15
Subject: Socioeconomic Status - nominal or ordinal scale?
>Hello,
>
>I have been looking at the documentation for the Office for National 
>Statistics Socioeconomic Classification (Rebasing the NS-SEC on 
>SOC2010NS-SEC). On page 13, para 7.2 it advises that derived 
>socioeconomic classification cannot be regarded as an ordinal scale 
>but should be treated as categorical for purposes of analysis.
>
>I was wondering if anyone could explain why that is. From a conceptual 
>point of view, socioeconomic classification indicates access to 
>resources. I have always assumed that socioeconomic status that is 
>"higher" indicates access to more and more varied resources which is 
>the reason why it is a good predictor of good health or education 
>outcomes amongst others.
>
>I have been looking for some literature on this (or an opposite view) 
>but have so far been unsuccessful.
>
>I wonder if anyone could help.
>
>Thank you. ****************************************************** 
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>activities and read current and past issues of our newsletter you are 
>invited to visit our web site http://www.radstats.org.uk/. 
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