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Extracts the total number of Monte Carlo runs.<br />

Monte Carlo Analysis<br />

Output of Uncertainty Analysis (the .chi File)<br />

Note<br />

These keywords are not functions like those listed in Extract Functions Specific to Monte<br />

Carlo Analysis.<br />

Basic Statistics and Histograms<br />

At the end of Monte Carlo simulations, Eldo prints the following basic statistics in the .chi file:<br />

the range, the mean, the standard deviation, and a basic histogram for each .EXTRACT<br />

command. Eldo also provides bootstrap estimates for the mean and the standard deviation.<br />

For example, the following syntax:<br />

.EXTRACT TRAN LABEL=OPFREQ (1/MAX(EXTRACT(DELAY6), EXTRACT(DELAY7)))<br />

+ LBOUND=280Meg<br />

generates the following output in the .chi file:<br />

Distribution of OPFREQ<br />

Range [ 2.6909E+08 3.7686E+08]<br />

Nominal value: 3.2011E+08<br />

Average value: 3.1768E+08<br />

Standard Deviation: 1.9211E+07<br />

Standard Deviation based on nominal run: 1.9364E+07<br />

Passed : 191 ( 96.46465 %)<br />

[ 250.000MEG 265.000MEG] NB = 0 FREQ = 0.00e+00% |<br />

[ 265.000MEG 280.000MEG] NB = 7 FREQ = 3.54e+00% |*<br />

[ 280.000MEG 295.000MEG] NB = 14 FREQ = 7.07e+00% |***<br />

[ 295.000MEG 310.000MEG] NB = 48 FREQ = 2.42e+01% |************<br />

[ 310.000MEG 325.000MEG] NB = 68 FREQ = 3.43e+01% |*****************<br />

[ 325.000MEG 340.000MEG] NB = 36 FREQ = 1.82e+01% |*********<br />

[ 340.000MEG 355.000MEG] NB = 15 FREQ = 7.58e+00% |***<br />

[ 355.000MEG 370.000MEG] NB = 8 FREQ = 4.04e+00% |**<br />

[ 370.000MEG 385.000MEG] NB = 2 FREQ = 1.01e+00% |<br />

[ 385.000MEG 400.000MEG] NB = 0 FREQ = 0.00e+00% |<br />

In this output provided in the .chi file we can extract the following information:<br />

• The range is the interval given by the largest and smallest values in a data set. Note that<br />

this measure is based only on the minimum and maximum values in the sample. The<br />

spread near the center of the data is not captured at all.<br />

• The nominal and average values.<br />

• The standard deviation (or the square root of the sample variance). Note that the<br />

standard deviation restores the units of the spread to the original data units (the variance<br />

squares the units). Although the variance is intended to be an overall measure of spread,<br />

it can be greatly affected by the tail behavior.<br />

Eldo® User's Manual, 15.3 469

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