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Monte Carlo Analysis<br />

Primary Statistics of Uncertainty Analysis<br />

******************************<br />

*** Modeling Accuracy ***<br />

******************************<br />

==> Measures of prediction error:<br />

RMSE ... Root Mean Square Error<br />

RRMSE ... Relative Root Mean Square Error<br />

MAE ... Maximum Absolute Error RMAE ... Relative Maximum Absolute Error<br />

Rsqr ... Coefficient of determination<br />

Index<br />

Name<br />

of Meas RMSE RRMSE MAE RMAE Rsqr of Meas<br />

-------------------------------------------------------------------------------------------<br />

1 2.82286e-01 2.95719e-01 7.44927e-01 7.80375e-01 0.910766 DELAY6<br />

2 2.51033e-01 2.63053e-01 5.68490e-01 5.95709e-01 0.929391 DELAY7<br />

3 2.67857e-01 2.78019e-01 6.00334e-01 6.23111e-01 0.921128 OPFREQ<br />

Mean and Standard Deviation<br />

The first table in the .mcm file provides basic summaries.<br />

==> Mean and Standard Deviation:<br />

Mean ... Arithmetic Mean %RSEM ... Relative Standard Error of Mean<br />

Std ... Standard Error StdNom ... Standard Error w.r.t Nominal<br />

Index Nominal Name<br />

of Meas Value Mean %RSEM Std StdNom of Meas<br />

--------------------------------------------------------------------------------<br />

1 8.38073e-01 8.37262e-01 0.304762% 4.02154e-02 4.02236e-02 MAX<br />

2 2.19652e+00 2.19539e+00 6.355605% 2.00982e-02 2.01302e-02 BW<br />

3 -5.44334e-02 -5.44318e-02 2.380805% 7.52874e-04 7.52876e-04 IVDD<br />

What is called Std here is defined as the “corrected for bias” sample standard deviation:<br />

It is actually a biased estimator for the population standard deviation, but less biased than the<br />

uncorrected sample standard deviation.<br />

The bias is of the order n −1 , and decreases as the sample size increases.<br />

What we called CV here is defined as the relative half-range of the confidence interval on the<br />

mean at a 95% level of confidence. The standard definition of the confidence interval is defined<br />

as follows for n:<br />

478<br />

Eldo® User's Manual, 15.3

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