Measurement analysis : an introduction to the statistical analysis of laboratory data in physics, chemistry and the life sciences

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Author(s): Mario Caria
Publisher: Imperial College Press
Year: 2000

Language: English
Pages: vii, 229 p. : ill. ; 23 cm
City: London
Tags: Математика;Теория вероятностей и математическая статистика;Обработка результатов измерений;


Content: Measurements, errors and estimates --
Error and Uncertainty --
Resolution and reading error --
The illegitimate error --
Uncertainty and systematic error --
Uncertainty and casual error --
The expression of expanded uncertainty --
Distribution of data and errors --
Probability and distributions --
Distribution functions --
The Binomial distribution function --
The Poisson distribution function --
The Guass distribution function --
Relations between distribution functions --
The constant distribution function and the reading error --
Processing of data and uncertainties --
The combination of uncertainties --
Rigorous calculation for the estimate of the combined uncertainty --
The number of significant digits --
The problem of correlation --
The error matrix or matrix of uncertainties --
Interpolation and combination of uncertainties --
Extrapolation and combination of uncertainties --
Mean standard deviation and the weighted mean --
Accuracy tests --
Hypotheses and the verification of accuracy --
Maximum likelihood --
The x[superscript 2] parameter --
Minimisation --
The x[superscript 2] accuracy test --
The number of degrees of freedom --
The parameter x[superscript 2 subscript r] --
The x[superscript 2] probability function --
The t accuracy test --
The F accuracy test --
The F test for the analysis of one variance or ANOVA --
The generalised x[superscript 2] accuracy test --
Confidence, trust and expanded uncertainty --
Probability intervals --
The confidence or trust level --
The t parameter and the confidence level.