# [R] Monotonicity correlation coefficients

Rivera Galicia Luis Felipe luisf.rivera at uah.es
Wed Mar 6 16:33:31 CET 2002

```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.

-----Mensaje original-----
De: Roger Koenker [mailto:roger at ysidro.econ.uiuc.edu]
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?
>
>
> Luis Rivera.
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