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The errors of approximation solution are listed in Table 1 for (t=0.25) by (3.3) and (3.6).
Its value of 0.05 indicates a close fit and that values less than 0.08 show reasonable errors of approximation in population [14].
RMSEA values less than.05 indicate good fit and values as high as.08 represent acceptable errors of approximation (Bentler, 1990).
Values less than 0.05 indicate good fit and values as high as 0.08 represent reasonable errors of approximation in the population [ 23, 24].
Values of up to 0.08 for the RMSEA and SRMR represent reasonable errors of approximation, whereas values up to 0.05 and 0.01 indicate good and excellent fit, respectively [ 37, 38].
The closeness of the variance-covariance matrix implied by the hypothetical model to the empirical variance-covariance matrix is evaluated through goodness-of-fit indices, including maximum likelihood chi-square values/degrees of freedom ratio, the comparative fit index (CFI), the root mean square errors of approximation (RMSEA), and the non-normed fit index (NNFI).
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Multi-parameter asymptotic expansions are proved for the errors of approximations.
The Root Mean Square Error of Approximation (RMSEA) is a measure of approximate fit in the population, with a value less than 0.06 indicating good fit [ 70].
When n = 6, the error of approximation is less than 0.0002.
Root mean square error of approximation.
And the variable structure control is adopt to eliminate the error of approximation.
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