Yes - if only Pearson had not hijacked the Galtonian programme and replaced
all those lovely order-statistics (percentiles) with moments and those
horrible sigma-signs, we would have had Tukey's EDA ideas in the 1920's and
statistics would be a data-richer and far less mathematical place ....
It would have been "statistics for all". (Even my decorator knows what an
'ogive' is.)
(Unfortunately or fortunately perhaps, historians of statistics have been
obsessed with both men's eugenic tendencies, rather than their methods.)
JOHN BIBBY
All statements are on behalf of aa42.com Limited, a company wholly owned by
John Bibby and Shirley Bibby. See www.aa42.com/mathemagic and
www.mathemagic.org
-----Original Message-----
From: email list for Radical Statistics [mailto:[log in to unmask]] On
Behalf Of Jane Galbraith
Sent: 31 December 2007 13:04
To: [log in to unmask]
Subject: Re: about the "Galton Graph" please? "Subject" and "Relative" etc.
It's not relevant to John's question but G. Udny Yule (1912, pp 150 -152)
refers to Galton's "Method of Percentiles" and "Ogive" curve.
best wishes for 2008
Jane Galbraith
............................................................................
.......
> Can anyone tell me anything about the "Galton Graph" please?
>
> It is referenced in Boddington (1934, pp.291-295), and seems to be
> essentially a scattergraph, but instead of plotting xi against yi, it
> plots
> xi/xbar against yi/ybar. The interpretation is close to what we might now
> interpret as elasticities from a log-log regression, i.e. "Thus for every
> 1
> per cent. change in the subject there is a tendency for the Relative to
> change .74 per cent. The complement of thuis fraction, viz. 0.26 is called
> the _ratio of regression_" (ibid. p.295)
>
> Quote a lot of unfamiliar terminology here - was it used elsewhere?
> Passing
> features of a new language, perhaps. ("Subject" and "Relative" seem to be
> what we would now call the explanatory and dependent variables.)
>
> JOHN BIBBY
>
>
> Boddington: Statistics and their application to commerce
>
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