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We assume that the intended method is T SFG, which is the matrix implied by the fast algorithm.
X 2 is testing the null hypothesis that the covariance matrix implied by the model is equal to the population covariance matrix.
Now consider Π 2, the transition probability or projection matrix implied by rate matrix M 2. The eigenvectors of the two matrices are the same, but their eigenvalues (roots) differ.
SEM proceeds by assessing whether a sample covariance or correlation matrix is consistent with a hypothetical matrix implied by the model.
Maximum Likelihood estimation is then used to solve for the parameters by minimizing the difference between the covariance matrix implied by the structural model and the covariance matrix of the data (Bollen).
The notable-null hypothesis of the χ model test is the covariance matrix implied by the model when all the theory's constraints have been respected, and the theory has been enhanced by optimal estimates of all the theorized effects [ 10]:256, [ 11]:11].
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SRMR reflects the average standardized absolute value of the difference between the observed covariance matrix elements and the covariance matrix elements implied by the given model, with smaller values indicating better fit.
A stable matrix implies stronger genetic association between the traits.
Therefore, the a priori values are generally less accurate than implied by the covariance matrix of a perfect network distribution.
In the 'Fig. 1' of [1], the authors display a signal flow graph (SFG) which does not correspond to the computation implied by their proposed matrix.
In this way, we obtain a permutation of the original data that retains the correlation structure implied by the kinship matrix.
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