Limitations of the Welch-Satterthwaite approximation for measurement uncertainty calculations

Metrologia

Volumn 37, Issue 1, 2000, Pages 61-64

  Ballico, M ^a  

^a CSIRO   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

MEASUREMENT UNCERTAINTIES; WELCH-SATTERTHWAITE APPROXIMATION;

APPROXIMATION THEORY; CALIBRATION; ERROR ANALYSIS; PROBABILITY DISTRIBUTIONS;

MEASUREMENT ERRORS;

EID: 0033689472     PISSN: 00261394     EISSN: None     Source Type: Journal    
DOI: 10.1088/0026-1394/37/1/8     Document Type: Article

References (20)

1. Cox D. R., Hinkley D. V., Theoretical Statistics, London, Chapman and Hall, 1974, 153-157, 246, 372-379.
2. Kendall M. G., Stuart A., The Advanced Theory of Statistics, Vol. 2, London, Griffin Press, 1973, 141-168.
3. Guide to the Expression of Uncertainty in Measurement, Geneva, International Organization for Standardization, 1993, ISBN 92-67-10188-9.
4. Fairfield-Smith H., Counc. Sci. Indust. Res. (Australia), 1936, 9(3), 211-212.
5. Satterthwaite F. E., Psychometrika, 1941, 6(5), 309-316.
6. Welch B. L., J. R. Stat. Soc., Series B, 1956, 18, 297-302.
7. Fisher R., J. R. Stat. Soc., Series B, 1956, 18, 56-60.
8. Behrens W. U., Landw. Jb., 1929, 68, 807-837.
9. Fisher R., Ann. Eugenics, 1935, 6, 391-398.
10. Fisher R., Ann. Eugenics, 1941, 11, 141-171.
11. Lindley D. V., Introduction to Probability and Statistics from a Bayesian Viewpoint, Part 2: Inference, London, Cambridge University Press, 1965, 91-95.
12. Welch B. L., Biometrika, 1947, 34, 28-35.
13. Welch B. L., Ann. Math. Stat., 1947, 18, 118-123.
14. Aspin A., Biometrika, 1948, 35, 88-96.
15. Satterthwaite F. E., Biometrics Bull., 1946, 2(6), 110-114.
16. Welch B. L., Biometrika, 1938, 29, 350-362.
17. Welch B. L., Supl. J. R. Stat. Soc., 1936, III(1), 29-48.
18. Trickett W. H., Welch B. L., James G. S., Biometrika, 1956, 43, 203-205.
19. Aspin A., Biometrika, 1949, 36, 290-295.
20. Efron B., Am. Stat. Soc., 1986, 40(1), 1-11.