Errors of Observation and their Treatment - Brossura

Topping, J.

Brossura

ISBN 10: 0412210401 ISBN 13: 9780412210402

Casa editrice: Springer, 2013

Riassunto

This little book is written in the first place for students in technical colleges taking the National Certificate Courses in Applied Physics; It is a necessary link between the simple introduction to the nature and estimation of errors given in Chapter 1, and the theory of errors discussed in Chapter 3.

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Contenuti

1. Errors of Observation.- 1 Accidental and systematic errors.- 2 Errors and fractional errors.- 3 Estimate of error.- 4 Estimate of the error in compound quantities.- 5 Error in a product.- 6 Error in a quotient.- 7 Use of the calculus.- 8 Error in a sum or difference.- 2. Some Statistical Ideas.- 9 Frequency distributions.- 10 The mean.- 11 Relative frequency.- 12 The median.- 13 Frequency curves.- 14 Measures of dispersion.- 15 The range.- 16 The mean deviation.- 17 The standard deviation.- 18 Evaluation of standard deviation, ?.- 19 Sheppard’s correction.- 20 Charlier’s checks.- 21 The mean and standard deviation of a sum.- 22 Certain special frequency distributions.- 23 The binomial distribution.- 24 The Poisson distribution.- 25 The normal distribution.- 26 Relation between a normal and a binomial distribution.- 27 The mean deviation of a normal distribution.- 28 Area under the normal error curve.- 29 Sampling, standard error of the mean.- 30 Bessel’s formulae.- 31 Peters’ formulae.- 32 Fitting of a normal curve.- 33 Other frequency distributions.- 3. Theory of Errors.- 34 The normal or Gaussian law of error.- 35 Applicability of the normal law of error.- 36 Normal error distributions.- 37 Standard error of a sum or difference.- 38 Standard error of a product.- 39 Standard error of a compound quantity.- 40 Method of least squares.- 41 Weighted mean.- 42 Standard error of weighted mean.- 43 Internal and external consistency.- 44 Other applications of the method of least squares, solution of linear equations.- 45 Solution of linear equations involving observed quantities.- 46 Curve fitting.- 47 Line of regression.- 48 Accuracy of coefficients.- 49 Other curves.- References.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 0412210401
• ISBN 13: 9780412210402
• Rilegatura: Copertina flessibile
• Numero edizione: 4
• Numero di pagine: 120
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Germania