- Thread starter mdc333
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- Tags correlation

But doing SEM is not a simple process and you have to work through it. Just knowing the correlations you posted above won't tell you the direct and indirect effects even if SEM is accurate.

For the 3X3 correlation matrix that you describe to be a valid correlation matrix, it must be positive definite. An easy condition to work with is ensuring that the determinant of this matrix is positive. Say you organize your variables in A,B,C and call the missing correlation 'r'. Then your correlation matrix looks like:

\(R=\begin{bmatrix}

1 &0.37 & r\\

0.37& 1 & 0.32 \\

r & 0.32 & 1

\end{bmatrix}\)

I used Wolfram to solve the determinant for R and found:

\(det(R)=-r^{2}+0.2368r+0.7607\)

The range of values for which \(det(R)> 0\) (and that fall within the correlation metric [-1, +1]) could be a valid solution to your problem.

As it stands, your problem does not have one unique solution unless you provide us with more information.

\(R=\begin{bmatrix}

1 &0.37 & r\\

0.37& 1 & 0.32 \\

r & 0.32 & 1

\end{bmatrix}\)

I used Wolfram to solve the determinant for R and found:

\(det(R)=-r^{2}+0.2368r+0.7607\)

The range of values for which \(det(R)> 0\) (and that fall within the correlation metric [-1, +1]) could be a valid solution to your problem.

As it stands, your problem does not have one unique solution unless you provide us with more information.

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well, i'm doing some research for my uni thesis and I wanted to see if there is any logic in connecting systemizing quotient (e-s theory) with different uses of music as outlined by Premuzic and Furnham (2007). my first hypothesis is that those who have a high SQ score would be more likely to use music in a cognitive fashion, and i wondered since both of those variables (systemizing and cognitive use of music) are positively correlated to openness to experience, could i use those correlations to support my hypothesis and even to predict whether or not my hypothesis would be accepted? in other words, is it okay to think high SQ and cognitive use would be correlated if they are both correlated to openness to experience?

edit: other big five traits as well as other uses of music are also correlated to either systemizing or empathizing or both.

what other info did you mean, spunky?

edit: other big five traits as well as other uses of music are also correlated to either systemizing or empathizing or both.

what other info did you mean, spunky?

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Sometimes its best to do the easy stuff to get done. So if you can just run direct effects just do that.

Basically what you can infer in this particular case is that corr(A,C) must be between -.762 and .999. In other words, there's a little constraint, but not much. The expression I used to get this is given in the thread I just linked above.