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The appropriateness of these results was emphasized by model fit values of the different Q matrix models.
With regard to empirical evaluation of these four single Q matrix models (Q-I, Q-ERC, Q-ATAC, Q-ATAS), models based on apprentices' think-aloud studies usually show better model fit values than researchers'/experts' Q matrix models.
While the unidimensional shows a deviance (equals −2 Log-Likelihood) of 16,178.8, the multidimensional model shows a deviance of 16,058.6, which results in a significant Chi Square test (df = 9) as well as AIC and BIC model fit values (16,283 vs. 16,181 and 16,504 vs. 16,440, respectively) in favor of the multidimensional model.
Looking at R 2 values determined through the model fit (values close to 1) and to the model curves superimposed to the experimental data (in Figure 1A and B), it is possible to conclude that the Gompertz model can be correctly applied to describe microalgal recovery in the studied conditions.
The model fit values were CMIN 24.146 (df 19, p.191) and.962 (comparison fit index (CFI)), implying that the model had a very good fit.
Since conducting both the exploratory factor analyses (EFA) and the confirmatory factor analyses (CFA) using the same sample would lead to artificially increased model fit values, the sample was randomly divided into two partial samples, one for each procedure (nEFA = 1,190, nCFA = 1,149).
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The appropriateness of a set of seven IP skills (RQ I) and a pool of 24 tasks (RQ II) is additionally underscored by the absolute model fit value SRMSR, which varies only between.053 and.055 over all eight different Q matrix models and, thus, only slightly exceeded (Maydey-Olivares 2013) suggested benchmark of.05 for well-fitting models.
Additionally, we computed the Weighted Root Mean Square Residual (WRMR) as an approximate model fit value.
Because of the non-normal distribution and categorical type of data we performed the analysis using the bootstrapping ML method and we calculated the approximate model fit value Standardized Root Mean square Residual (SRMR) (≥0.10) [ 63].
The model fitted values in 2012 fluctuated from 0.117 to 0.345 per 100,000 population.
To better understand the difference in performance across outbreak methods, we investigated the model fitted values (predicted systematic values) and residuals (data minus the fits) from each method.
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