Dear Asongu,

In Vinod, H.D. (2008)'s "Hands-on Intermediate Econometrics Using R", in sections 3.4.2 to 3.4.5 I've found some hints for your question. The author uses a bivariate ECM. If you consider no a priori knowledge for the relationship between, say, x and y, so we have a system of two equations, both with ECM's. 

In this case, says the author: "If the equilibrium error experienced by economic agent at time t-1 is positive, in inequality (yt-1 > bxt-1) must hold. During the current period t decreasing the left-hand side (yt < yt-1 or deltayt < 0) and increasing the right-hand side (bxt > bxt-1, deltaxt > 0, since b >0) of the inequality reduces the equilibrium error. If the agent learns from past errors in predictable ways, we have seen that this implications on the signs of coefficients in [number of equation] implying nonrejection of two hypothesis, gama1 > 0 and gama2 <0".

Gama1 and 2 are, respectively, the coefficients of the long-run relationship in t-1 (as usual in VECM). The gama 1 is for delta xt's equation and the gama 2 for the delta yt's one). 

So, in this case, you should expect a positive coefficient for the coefficient. Is that what you asked? Hope to have helped you.

Best Wishes,

Claudio D. Shikida
http://www.shikida.net  and http://works.bepress.com/claudio_shikida/

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On Sat, Oct 13, 2012 at 8:31 AM, Anutechia Asongu <simplice_peace@yahoo.com> wrote:

Hi All,
           I understand within a bivariate VECM framework, the Error Correction Terms(ECTs) have to be negative and situated within the interval: 0 and -1. Does this principle on sign and interval apply to a multivariate VECM framework?
           Cheers
  

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