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Error analysis in numerical modelling Edit
In numerical analysis, error analysis comprises both forward error analysis and backward error analysis. Forward error analysis involves the analysis of a function which is an approximation (usually a finite polynomial) to a function to determine the bounds on the error in the approximation, i.e. to find such that . Backward error analysis involves the analysis of the approximation function , to determine the bounds on the parameters such that the result .
Error analysis in language teaching Edit
- modality (i.e. level of proficiency in speaking, writing, reading, listening)
- linguistic levels (i.e. pronunciation, grammar, vocabulary, style)
- form (e.g. omission, insertion, substitution)
- type (systematic errors/errors in competence vs. occasional errors/errors in performance)
- cause (e.g. interference, interlanguage)
- norm vs. system
Error analysis in molecular dynamics simulation Edit
In molecular dynamics (MD) simulations, there are errors due to inadequate sampling of the phase space or infrequently occurring events, these lead to the statistical error due to random fluctuation in the measurements.
For a series of M measurements of a fluctuating property A, the mean value is:
When these M measurements are independent, the variance of the mean <A> is:
but in most MD simulations, there is correlation between quantity A at different time, so the variance of the mean <A> will be underestimated as the effective number of independent measurements is actually less than M. In such situations we rewrite the variance as :
where is the autocorrelation function defined by
Error Analysis in Undergraduate Science Laboratory Edit
- ↑ James W. Haefner (1996). Modeling Biological Systems: Principles and Applications, 186–189, Springer. ISBN 0412042010.
- ↑ Francis J. Scheid (1988). Schaum's Outline of Theory and Problems of Numerical Analysis, 11, McGraw-Hill Professional. ISBN 0070552215.
- ↑ Cf. Bussmann, Hadumod (1996), Routledge Dictionary of Language and Linguistics, London: Routledge, s.v. error analysis. A comprehensive bibligraphy was published by Bernd Spillner (1991), Error Analysis, Amsterdam/Philadelphia: Benjamins.
- ↑ D. C. Rapaport, The Art of Molecular Dynamics Simulation, Cambridge University Press.
See also Edit
- Errors and residuals in statistics
- For Error Analysis in Applied Linguistics see Contrastive analysis
 – Definitions and graphical explanation.
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