R help - Mar 2002 - Monotonicity correlation coefficients

Could anyone help me to find the mathematical expression to calculate the
monotonicity correlation coefficient between two variables?
 
Thanks in advance.
 
Luis Rivera.
Universidad de Alcal?.
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What I mean is something I found in an paper (Cohen (2000):
"Multidimensional Analysis of International Social Indicators - Education,
Economy, Media and Demography", Social Indicators Research, 50, pp.
83-106). In this paper, the author mentions (page 89) a "regression-free
coefficient of correlation called monotonicity correlation (MONCO)". There
must be a statistical package, called HUDAP, which calculates these coefficients
(http://help.mscc.huji.ac.il/hudap.html).
 
The problem is that I wanto to see the mathematical expression that allows you
to calculate, because Cohen defines the monotonicity correlation as a
coefficient that takes into account the similarity of direction between two
variables - in other words, whether both are increasing or decreasing. Amar and
Toledano (Amar and Toledano, 1997, "Hudap Manual with Mathematics".
The Hebrew University of Jerusalem, Jerusalem) define the monotonicity
correlation as: "given two NUMERICAL variables x and y, the weak
coefficient of monitonicity tells how much the two variables vary in the same
sense. In other words, when x increases, does y increase or not?"
Supposely, this enables us to recognize non-linear correlations, which may be
more complex but also more common, especially in the social work.
 
I don't know if this is clear enough, but I think that catching other
relationships than linear between numerical variables could be very useful.
 
Warm regards,
 
Luis Rivera.
Statistics Department.
Universidad de Alcal?.

	-----Mensaje original----- 
	De: Roger Koenker [mailto:roger at ysidro.econ.uiuc.edu] 
	Enviado el: mar 05/03/2002 17:33 
	Para: Rivera Galicia Luis Felipe 
	CC: 
	Asunto: Re: [R] Monotonicity correlation coefficients
	
	

	do you mean something like Kendall's tau or Spearman"s rho?  See
cor.test.
	If this isn't what you want I'd be curious to know what you do have in
mind.
	
	
	url:    http://www.econ.uiuc.edu                Roger Koenker
	email   roger at ysidro.econ.uiuc.edu              Department of Economics
	vox:    217-333-4558                            University of Illinois
	fax:    217-244-6678                            Champaign, IL 61820
	
	On Tue, 5 Mar 2002, Rivera Galicia Luis Felipe wrote:
	
	> Could anyone help me to find the mathematical expression to calculate the
monotonicity correlation coefficient between two variables?
	>
	> Thanks in advance.
	>
	> Luis Rivera.
	> Universidad de Alcal?.
	>
-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-
	> r-help mailing list -- Read
http://www.ci.tuwien.ac.at/~hornik/R/R-FAQ.html
	> Send "info", "help", or "[un]subscribe"
	> (in the "body", not the subject !)  To: r-help-request at
stat.math.ethz.ch
	>
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	>
	
	

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