Estimation and uncertainty in fitting straight lines to data: Different techniques

Metrologia

Volumn 45, Issue 3, 2008, Pages 290-298

  Willink, R ^a  

^a CALLAGHAN INNOVATION   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; CURVE FITTING; EIGENVALUES AND EIGENFUNCTIONS; ESTIMATION; FOOD PROCESSING; FUNCTIONS; LEAST SQUARES APPROXIMATIONS; LINEAR REGRESSION; PAPER; PARAMETER ESTIMATION; PROBABILITY DENSITY FUNCTION; REGRESSION ANALYSIS; RISK ASSESSMENT;

BAYESIAN; EXPERIMENTAL DATA; LEAST SQUARES (LS); LEAST SQUARES FITTING (LSF); PROBABILITY DENSITIES; REGRESSION (R2); SIMULTANEOUS ESTIMATION; STRAIGHT LINES; THREE DIFFERENT TECHNIQUES;

UNCERTAINTY ANALYSIS;

EID: 44949113233     PISSN: 00261394     EISSN: 16817575     Source Type: Journal    
DOI: 10.1088/0026-1394/45/3/005     Document Type: Article

References (19)

1. Joint Committee for Guides in Metrology 2006 Evaluation of Measurement Data - Supplement 1 to the "Guide to the Expression of Uncertainty in Measurement" - Propagation of distributions using a Monte Carlo Method Draft Supplement 1. 2006-04-21
2. BIPM, IEC, IFCC, ISO, IUPAC, IUPAP and OIML 1995 Guide to the Expression of Uncertainty in Measurement (Geneva: International Organization for Standardization)
3. Lira I, Elster C and Wöger W 2007 Metrologia 44 379-84
4. Mood A M, Graybill F A and Boes D C 1974 Introduction to the Theory of Statistics 3rd edn, International Student Edition (Auckland: McGraw-Hill)
5. Acton F S 1959 Analysis of Straight-Line Data (New York: Wiley)
6. Miller R G Jr 1986 Beyond ANOVA, Basics of Applied Statistics (New York: Wiley)
7. Graybill F A and Bowden D C 1967 J. Am. Statist. Assoc. 62 403-8
8. Dunn O J 1968 J. Am. Statist. Assoc. 63 1028-33
9. Miller R G Jr 1980 Simultaneous Statistical Inference 2nd edn (New York: Springer)
10. Hahn G J and Hendrickson R W 1971 Biometrika 58 323-32
11. Pillai K C S and Ramachandran K V 1954 Ann. Math. Statist. 25 565-72
12. Dunn O J and Massey F J Jr 1965 J. Am. Statist. Assoc. 60 573-83
13. Gafarian A V 1964 J. Am. Statist. Assoc. 59 182-213
14. Gelman A, Carlin J B, Stern H S and Rubin D B 1995 Bayesian Data Analysis (London: Chapman & Hall)
15. Lee P M 1989 Bayesian Statistics: An Introduction (London: Edward Arnold)
16. Press S J 1989 Bayesian Statistics: Principles, Models, and Applications (New York: Wiley)
17. Willink R and Lira I 2005 Measurement 38 61-6
18. Willink R 2006 Metrologia 43 12-20
19. Bevington P R 1969 Data Reduction and Error Analysis for the Physical Sciences (New York: McGraw-Hill)