Experimental Study of Biodegradation of Ethanol and Toluene Vapors

x =
5
∑
i=
1
x
N
i
(5-40)
where x i is the ith measurement for a controlled component, and N is the
number of replication experimental runs.
The normalized deviation for a controlled component at a specific
measuring time is calculated by Equation (5-40a):
error =
n
∑
1
( x − x)
i
( N −1)
2
/ x
(5-40a)
2) Generating data sets of synthetic experimental results as:
Simulated data = (1-error )
⋅ t 0.025, 20
x + ⋅ error⋅ x ⋅ Rand() (5-41)
where
t 0 .025,20
≈ 2 , and Rand() (a function in EXCEL) returns an evenly
distributed random number greater than or equal to 0 and less than or equal to
1. A new random number is returned every time the worksheet is calculated.
3) Performing a non-linear fitting procedure on the synthetic data sets to obtain
the kinetic parameter value(s).
4) Repeating the Monte Carlo “Sampling” 20 times to generate 20 sets of
“artificial experimental data”, thereby creating 20 sets of the kinetic
parameter value(s) (Wang, 2001; Purwaningsih, 2002).
5) The distribution of kinetic parameter values is used to calculate the
uncertainty range associated with the fit parameters.
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