Scrutiny of variance results for outliers: Cochran's test optimized

Analytica Chimica Acta

Volumn 659, Issue 1-2, 2010, Pages 68-84

  't Lam, Ruben U E ^a  

^a DOW CHEMICAL COMPANY   (United States)

Author keywords

Cochran's C test; Heteroscedasticity; Homogeneity of variances; Two sided test; Unbalanced designs; Variance outliers

Indexed keywords

CRITICAL VALUE; DATA SETS; DISTRIBUTED DATA; EQUAL SIZES; HETEROSCEDASTICITY; HOMOSCEDASTICITY; ISO STANDARDS; LOWER LIMITS; MEASUREMENT METHODS; NUMERICAL EXAMPLE; STANDARD DEVIATION; TWO-SIDED TESTS; UNBALANCED DESIGN; UPPER LIMITS;

NORMAL DISTRIBUTION; SPREADSHEETS;

TESTING;

ANALYSIS OF VARIANCE; ANALYTIC METHOD; ARTICLE; COMPUTER SIMULATION; CONTROLLED STUDY; INTERMETHOD COMPARISON; MATHEMATICAL COMPUTING; NULL HYPOTHESIS; POWER OF A TEST; PRIORITY JOURNAL; PROBABILITY; PROCESS DEVELOPMENT; PROCESS OPTIMIZATION; REFERENCE VALUE; REPRODUCIBILITY; STATISTICAL ANALYSIS; STATISTICAL MODEL; VALIDATION PROCESS;

EID: 72249097973     PISSN: 00032670     EISSN: 18734324     Source Type: Journal    
DOI: 10.1016/j.aca.2009.11.032     Document Type: Article

References (36)

1. Massart D.L., Vandeginste B.G.M., Buydens L.M.C., de Jong S., Lewi P.J., and Smeyers-Verbeke J. Handbook of Chemometrics and Qualimetrics: Part A (1997), Elsevier, Amsterdam, The Netherlands
2. Konieczka P., and Namieśnik J. Quality Assurance and Quality Control in the Analytical Chemical Laboratory - A Practical Approach (2009), CRC Press, Boca Raton, FL
3. EURACHEM Guide, The Fitness for Purpose of Analytical Methods, First Internet version, 1998.
4. International Conference on Harmonization (ICH) of Technical Requirements for the Registration of Pharmaceuticals for Human Use, Validation of Analytical Procedures: Methodology. Q2B, Geneva Switzerland (1995)
5. International Conference on Harmonization (ICH) of Technical Requirements for the Registration of Pharmaceuticals for Human Use, Text on Validation of Analytical Procedures, Q2A. Geneva Switzerland (1994)
6. Taylor J.K. Quality Assurance of Chemical Measurements. 2nd ed. (1987), Lewis Publishers, Chelsea, MI
7. Sokal R.R., and Rohlf F.J. Biometry: The Principles and Practice of Statistics in Biological Research. 2nd ed. (1981), W.H. Freeman, New York
8. Zar J.H. Biostatistical Analysis. 5th ed. (2010), Pearson Prentice Hall, Upper Saddle River, NJ
9. JMP Statistical Discovery Software, version 7.0.2, SAS Institute Inc., Cary, NC, 2007.
10. O'Brian R.G. J. Am. Stat. Assoc. 74 (1979) 877-880
11. Olejnik S.F., and Algina J. J. Educ. Stat. 12 (1987) 45-61
12. Brown M.B., and Forsythe A.B. J. Am. Stat. Assoc. 69 (1974) 364-367
13. Brown M.B., and Forsythe A.B. Technometrics 16 (1974) 129-132
14. Levene H. In: Olkin I. (Ed). Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling (1960), Stanford University Press, Palo Alto, CA 278-292
15. Bartlett M.S. Proc. R. Stat. Soc. Ser. A 160 (1937) 268-282
16. Bartlett M.S., and Kendall D.G. J. R. Stat. Soc. Suppl. 8 (1946) 128-138
17. Martin C.G., and Games P.A. J. Educ. Stat. 2 (1977) 187-206
18. B.F.J. Manly, Multivariate Statistical Methods: A Primer, 3rd Ed., CRC Press, Boca Raton, FL, 2004.
19. Box G.E.P. Biometrika 40 (1953) 318-335
20. Kullback S. Information Theory and Statistics (1959), John Wiley, New York
21. ASTM Standard E 691-92, Standard Practice for Conducting an Interlaboratory Study to Determine the Precision of a Test Method, American Society for Testing and Materials, Philadelphia, PA, 1992.
22. ISO Standard 5725-2:1994, Accuracy (trueness and precision) of Measurement Methods and Results - Part 2: Basic Method for the Determination of Repeatability and Reproducibility of a Standard Measurement Method, International Organization for Standardization, Geneva, Switzerland, 1994.
23. Pearson E.S., and Hartley H.O. Biometrika Tables for Statisticians (1966), Cambridge University Press, Cambridge (Table 31b)
24. Leslie R.T., and Brown B.M. Biometrika 53 (1966) 221-227
25. Youden W.J., and Steiner E.H. Statistical Manual of the Association of Official Analytical Chemists (1975), AOAC International, Washington, DC
26. Hartley H.O. Biometrika 37 (1950) 308-312
27. Cochran W.G. Ann. Eugen. (Lond.) 11 (1941) 47-52
28. Horwitz W. Trends Anal. Chem. 7 (1988) 118-120
29. G. van Belle, L.D. Fisher, P.J. Heagerty, T.S. Lumley, Biostatistics: A Methodology for the Health Sciences, 2nd ed., Wiley-Interscience, Hoboken, NJ, 2004.
30. Zwillinger D., and Kokoska S. CRC Standard Probability and Statistics Tables and Formulae (2000), CRC Press, Boca Raton, FL pp. 239-240
31. Eisenhart C., Hastay M.W., and Wallis W.A. Techniques of Statistical Analysis (1947), McGraw Hill, New York pp. 390-391
32. P. Legendre, D. Borcard, unpublished results.
33. Kreyszig E. Introductory Mathematical Statistics (1970), John Wiley, New York
34. Abdi H. In: Salkind N.J. (Ed). Encyclopedia of Measurement and Statistics, vol. 2, Bonferroni and Šidák Corrections for Multiple Comparisons (2007), Sage Publications, Thousand Oaks, CA 540-542
35. Microsoft Excel 2003, Microsoft Corporation, Redmond, WA, 1985-2003.
36. Zrandom, version 1.2.1.0, 2005, http://www.zrandom.com.