Mathematics · Multivariate Analysis
Suppose the column vector [X1, X2, X3]T follows a multivariate normal distribution N3(0, I), where 0 is the zero vector and I is the identity matrix. If [X, Y, Z]T is defined by the matrix transformation with rows [3, 0, 0], [2, 2, 0], and [4, 0, 4] multiplied by [X1, X2, X3]T, then the partial correlation coefficient ρyz.x is:
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