Different sign in correlation matrix and the path coefficient

[Ahamed AFM Jalal]

Dear all,

I run the following model in SmartPls.

The relationship between B and D is negative in theory. Although the t-value is insignificant, I found a positive relationship. Worth mentioning that D is a higher order construct, consisting three first order constructs, namely D1, D2, and D3. 

Now, my confusion is: when I look at the inter-construct correlations matrix , the correlations between B and D1, D2, D3 is negative. But, as you can see the path coefficient between B and D is positive. I would be greatly if you kindly help me to explain this.

Regards
Jalal

[John J. Sailors]

Probably multicollinearity.

JJS

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[José Luis Roldán]

Dear Jalal,

This is a case of suppressor effect. According to Falk and Miller (1992, p. 75-77), there is a suppressor effect when "the sign of the path coefficient and the correlation coefficient are not the same", and then, the original relationship between the two has been suppresed. There are three types of supression: a) random fluctuations around zero, b) redundancy, c) real suppression.

Falk, R.F.; Miller; N.B. (1992): A Primer for Soft Modeling. Akron, Ohio: The University of Akron.

Best regards,

José L. Roldán

Regards
Jalal

<Model.bmp>

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[Ahamed AFM Jalal]

Dear all,

Thanks for your response. A silly problem in the analysis has identified and fixed. Now, everything looks fine.

Regards

JA

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From: pls...@googlegroups.com [pls...@googlegroups.com] on behalf of Ahamed AFM Jalal [jalal....@uit.no]
Sent: 06 June 2013 14:35
To: pls...@googlegroups.com
Subject: [pls-sem] Different sign in correlation matrix and the path coefficient