Error propagation analysis

If the reduction of C—C BDEs by captodative substitution is interpreted with the appropriate caution, it can be stated that a conclusive answer as to the existence of a captodative effect in free radicals cannot be derived from these studies, If, furthermore, a consequent error-propagation analysis had been carried out, the outcome might have been that the error limits do not allow a definitive conclusion. However, the results convey a feeling that— regardless of the pros and cons for the different determination procedures— a possible captodative effect will not be great. 

An error-propagation analysis allows the conclusion that the captodative substituent effect on the rotational barrier in this allyl radical is at least additive and perhaps slightly greater. 

Error propagation analysis provides a simple way of predicting error in calculated quantities. Ratioing experimental quantities is shown to be a source of large error. 

In this chapter, three chemometric methods of increasing importance to SEC are examined nonlinear regression, graphics and error propagation analysis. These three methods are briefly described with emphasis on SEC applications and on critical concerns in their correct implementation. In addition to the specific references cited, further information on these methods and others may be found in a recent book vdiich examines chemometrics in both SEC and HPIiC together (J ) as well as in periodic reviews (2) ... 

Error propagation analysis is the estimation of error accumulation in a final result as a consequence of error in the individual components used to obtain the result. Given an equation explicitly expressing a result, the error propagation equation can be used to estimate the error in the result as a function of error in the other variables. 

Combescure, D. Pegon, P. 1997. a-operator splitting time integration technique for pseudodynamic testing, Error propagation analysis. Soil Dynamics and Earthquake Engineering. Vol. 16, pp. 427-443. 

To demonstrate sensitivity profiling and error propagation analysis, we apply two different failure modes mentioned in the IS026262 standard [14]. We apply the oscillation fault model on the signal representing the feedback from the Hall Effect, and the bit-flip fault model on the signals inside the behavior model of the wheel node. 

Fig. 11. Error propagation analysis for an offset fault model...

We have proposed three visualization methods. The first method visualizes the outcome of experiments in a fault injection campaign using a three-dimensional cube. The second method is used for sensitivity profiling and can help developers pinpoint the most fault sensitive parts of a Simulink model. The third technique can be used for validation of fault handling mechanisms and to visualize the effect of injected faults. This error propagation analysis helps developers to ensure that fault handling mechanisms are correctly implemented and thoroughly tested. 

Nassar, D.E.M., Abdelmoez, W., Shereshevsky, M., Ammar, H.H., Mill, A., Yu, B., Bogazzi, S. Error propagation analysis of software architecture specifications. In Proceedings of the International Conference on Computer and Communication Engineering, ICCCE 2006, Kuala Lumpur, Malaysia (May 2006)... 

Voas, J.M. Error propagation analysis for COTS systems. IEEE Computing and Control Engineering Journal 8(6), 269-272 (1997)... 

An estimation of the experimental uncertainty was determined for both g and X. Since both of these parameters were related to measured quantities having their own level of uncertainty, an error propagation analysis [22] was performed to estimate the uncertainty range (at the 95% confidence level) of the computed values for g and X. 

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