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Figure 3-1. A Proposed Model
Maximum likelihood generates an estimated chi-square statistic and as such
provides a probability value indicative of the overall fit of the model since the
distribution of chi-square value is known (Bollen, 1989). The value of the chi-square
statistic, in relation to the model's degrees of freedom, determines whether the fitted
residuals, resulting from I 1(9), deviate from the population values of zero. The
differences between the corresponding elements of the implied covariance matrix
(theory) and the observed covariance matrix (reality) consist of the matrix of residuals.