Within-Laboratory Variance Outlier Detection: An Alternative to Cochran’s Test

1. International Organization for Standardization (ISO): ISO 5725-2. 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; ISO, Geneva, Switzerland, 1994.Search in Google Scholar

2. ASTM International: ASTM Standard E691-14. Standard Practice for Conducting an Interlaboratory Study to Determine the Precision of a Test Method; ASTM International, West Conshohocken, PA, USA, 2014.Search in Google Scholar

3. Horwitz, W.: Protocol for the Design, Conduct, and Interpretation of Method-Performance Studies; Pure Appl. Chem. 67 (1995) 331–343.10.1351/pac199567020331Search in Google Scholar

4. Box, G.E.P.: Non-Normality and Tests on Variances; Biometrika 40 (1953) 318–335. DOI: 10.2307/233335010.2307/2333350Open DOISearch in Google Scholar

5. Conover, W.J., M.E. Johnson, and M.M. Johnson: A Comparative Study of Tests for Homogeneity of Variances, with Applications to the Outer Continental Shelf Bidding Data; Technometrics 23 (1981) 351–361. DOI: 10.2307/126822510.2307/1268225Open DOISearch in Google Scholar

6. Levene, H.: Robust Tests for Equality of Variances; in: Contributions to Probability and Statistics, edited by I. Olkin, Stanford University Press, Palo Alto, CA, USA, 1960, pp. 278–292.Search in Google Scholar

7. Brown, M.B. and A.B. Forsythe: Robust Tests for Equality of Variances; J. Am. Stat. Assoc. 69 (1974) 364–367. DOI: 10.2307/228565910.2307/2285659Open DOISearch in Google Scholar

8. Gastwirth, J.L., Y.R. Gel, and W. Miao: The Impact of Levene’s Test of Equality of Variances on Statistical Theory and Practice; Stat. Sci. 24 (2009) 343–360. DOI: 10.1214/09-STS30110.1214/09-STS301Search in Google Scholar

9. Hines, W.G.S. and R.J. O’Hara Hines: Increased Power with Modified Forms of the Levene (Med) Test for Heterogeneity of Variance; Biometrics 56 (2000) 451–454. DOI: 10.1111/j.0006-341X.2000.00451.x10.1111/j.0006-341X.2000.00451.xOpen DOISearch in Google Scholar

10. Shapiro, S.S. and M.B. Wilk: An Analysis of Variance Test for Normality (Complete Samples): Biometrika 52 (1965) 591–611. DOI: 10.1093/biomet/52.3-4.59110.1093/biomet/52.3-4.591Search in Google Scholar

11. Anderson, T.W. and D.A. Darling: Asymptotic Theory of Certain “Goodness-of-Fit” Criteria Based on Stochastic Processes; Ann. Math. Stat. 23 (1952) 193–212. DOI: 10.1214/aoms/117772943710.1214/aoms/1177729437Open DOISearch in Google Scholar