Statistics for Environmental Engineers

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0.06 0.04 м 0.02


FIGURE 47.2 The Monod and Tiessier models fitted to the data of Schulze and Lipe (1964).


Monod


Tiessier




*



• •



«•_____________r -J-«______


• •


• •


_________



в# •


• •



0.0 0.2 0.4 06 0.8 1.0 0.0 0.2 0.4    0.6 0.8    1.0


Predicted Values    Predicted Values



1.0-


CB


-a 0.00


w a)


-0.02 -0.04 -0.06


FIGURE 47.3 Residual plots for the Monod and Tiessier models.


0.010 0.011 0.012 0.013 0.014


04


FIGURE 47.4 Joint confidence regions for the Monod and Tiessier models.


the maximum operable dilution rate, its estimated value should agree with the operating experience. Schulze and Lipe (1964) were not able to operate their reactor at dilution rates higher than about 0.85 h-1. At higher rates, all the bacteria were washed out of the reactor and the system failed. The Tiessier model predicts the maximum growth rate of 0.83 h 1, which is consistent with experience in the reaction system studied. The Monod model, on the other hand, estimates 61 = 1.06, which is higher than the experimenters could attain. Based on this, one might conclude that the Monod model is inadequate because the estimated value of в1 is not consistent experience in operating the biological reactor.


A formal lack-of-fit test compares the ratio F model = RMS/o’2 for the model with the tabulated value of F having the appropriate degrees of freedom. RMS = RSS/v is the residual mean square of the fitted

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