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The transformed model was applied to the experimental results of film growth obtained at 25 °C, 15mA cm−2 and in a wide range of H2SO4 concentration, 5 85% w/v.
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This transformed model is also called the Lehmann type I distribution, say Exp c (G).
The analytic version of the transformed model is only possible for the first class model.
The final transformed model is thus given by: tilde{y}_{it}^{ell } = tilde{x}_{it}^{prime} b^{ell } + tilde{e}_{it}^{ell } (10).
The experimental results show that the transformed model is more efficient with respect to its average execution time and uncertainty, when compared to the original model.
Then, a maximum likelihood estimator (MLE) of a step change in the parameters of the transformed model is derived and three separate EWMA control charts are used to monitor the parameters of the profile.
Then, exploiting the result stating that forbidden state problems of safe Petri nets always have control-place-based solutions, the control problem of the transformed model is optimally solved using our previous result.
The lower CIs of the log transformed model are outside the lower 95% CI of the categorical model.
For the UG workers (their Table 4), the untransformed model is not statistically significant (p > 0.05) and the log transformed model is statistically significant p < 0.05).
For surface workers (their Table 5) the significance is reversed (the untransformed model is statistically significant and the log transformed model is not statistically significant) so the HR is greater than 1 for all exposures greater than 0. Thus, the continuous models do not seem to present a reasonable or consistent biological pattern.
As observed by Buntin and Zaslavsky "Plotting of the data with various transformations is thus a useful preliminary step, but ultimately the distribution of the residuals from the transformed model is critical because the model assumptions concern the distribution of the residuals, not of the data" [ 59].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com