Inverse of the matrix of contrast weights

Dear all,

If conducting your own, user-defined planned contrasts should you create the inverse of the matrix of desired contrast weights, both for orthogonal and non-orthogonal contrasts?

How about, if using some of the following coding schemes like:
Dummy Coding
Simple Coding
Deviation Coding
Orthogonal Polynomial Coding
Helmert Coding
Reverse Helmert Coding
Forward Difference Coding
Backward Difference Coding

Do I need to make the inverse of the matrix of contrast weights with these?

Thank you in advance,


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