A generalization of the Welch-Satterthwaite formula for use with correlated uncertainty components

Metrologia

Volumn 44, Issue 5, 2007, Pages 340-349

  Willink, R ^a  

^a CALLAGHAN INNOVATION   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); NONLINEAR EQUATIONS; STANDARDS; UNCERTAINTY ANALYSIS;

UNCERTAINTY COMPONENTS; WELCH-SATTERTHWAITE FORMULA;

MEASUREMENT THEORY;

EID: 38549175174     PISSN: 00261394     EISSN: 16817575     Source Type: Journal    
DOI: 10.1088/0026-1394/44/5/010     Document Type: Article

References (14)

1. BIPM, IEC, IFCC, ISO, IUPAC, IUPAP and OIML 1995 Guide to the Expression of Uncertainty in Measurement (Geneva: International Organization for Standardization)
2. 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
3. Willink R 2005 Metrologia 42 329-43
4. Willink R 2006 Metrologia 43 522-30
5. Ballico M 2000 Metrologia 37 61-4
6. Kacker R and Jones A 2003 Metrologia 40 235-48
7. Hall B D and Willink R 2001 Metrologia 38 9-15
8. Willink R 2006 Metrologia 43 S211-9
9. Willink R and Hall B D 2002 Metrologia 39 361-9
10. Welch B L 1937 Biometrika 29 350-62
11. Satterthwaite F E 1946 Biometrics 2 110-4
12. Gupta A K and Nagar D K 2000 Matrix Variate Distributions (Boca Raton, FL: Chapman & Hall/CRC Press)
13. Lepek A 2003 Accred. Qual. Assur. 8 296-9
14. Johnson N L, Kotz S and Balakrishnan N 1994 Continuous Univariate Distributions vol 1 2nd edn (New York: Wiley)