I have been waiting until everybody was through throwing their
stuff into the pot.
Dennis refers to Galton's works on inheritance, which is in
his book "Natural Inheritance" published in 1889. Galton is credited with
starting the idea of correlations and bivariate relationships. The table is on
page 208. I made a jpg image of it and sent it to DR.
Jan de Leeuw's UCLA website picture is a pretty poor
representation of what Galton did and of his table on page 208, and what
was his insight on the relationships. Galton at least put in the units. How
Galton got the data is very interesting. No professor today would do what he did
to get his data.
Dickson did the math on Galton's data, and established a curve
of probable error in the form of the equation of an ellipse. He does not use the
term bivariate or correlation or any such terms. He refers to his work as a
discussion of the surface of frequency of p.The terms we use today were not yet
developed back then. (1880's). Galton does not use modern terms. He describes
the effect in terms of regression and on the means of the populations and the
ellipse on page 101 as the law of errors.
Also floating around in the responses to Dennis's request was
Fisher's discussion of correlation in his book "Statistical Methods for Research
Workers", and his use of a table of heights of fathers and daughters on page 180
to introduce the concept of correlation. The data was from K. Pearson and A.
Lee, "Inheritance of Physical Characters" in Biometrika, 1903, 357 I think this
was the first issue). Fisher introduces the bivariate normal distribution and
calculates a correlation coefficient of +0.5157 for the data (which includes
Sheppard's correction for grouped data).
I have these pages in jpg image format, but can't attach it
here. If you send me an Email requesting them I will send them.
DAHeiser
|
- galton dennis roberts
- Re: galton Jan de Leeuw
- Re: galton Jan de Leeuw
- Re: galton Jan de Leeuw
- Re: galton Paul Gardner
- Re: Galton David A. Heiser
- Re: Galton Rich Ulrich
- Re: Galton Jan de Leeuw
- Re: Galton David A. Heiser