Discussiones Mathematicae Probability and Statistics 24(2) (2004) 183-195
Brenton R. Clarke
Mathematics and Statistics |
Antony G. Monaco
Department of Health, Government of Western Australia |
Keywords: outlier; two-way layout; adaptive estimation; heteroscedaticity.
2000 Mathematics Subject Classification: 62J10, 2F05.
[1] | B.R. Clarke, An adaptive method of estimation and outlier detection in regression applicable for small to moderate sample sizes, Discussiones Mathematicae Probability and Statistics 20 (2000), 25-50. |
[2] | B.R. Clarke, A representation of orthogonal components in analysis of variance, International Mathematical Journal 1 (2002), 133-147. |
[3] | B.R. Clarke and E.J. Godolphin, Uncorrelated residuals and an exact test for two variance components in experimental design, Communications in Statistics, Part A - Theory and Methods 21 (1992), 2501-2526. |
[4] | C. Daniel, Applications of Statistics to Industrial Experimentation, Wiley, New York 1976. |
[5] | R.A. Fisher, Design of Experiments, 5th ed., Oliver and Boyd, Edinburgh 1949. |
[6] | P.J. Huber, Robust Statistical Procedures, 2nd ed., Society for Industrial and Applied Mathematics, Philadelphia 1996. |
[7] | S. Puntanen and G.P.H. Styan, The equality of the ordinary least squares estimator and the best linear unbiased estimator, (with discussion) The American Statistician 43 (1989), 153-164. |
[8] | T.S. Russell and R.A. Bradley, One-way variances in a two-way classification, Biometrika 45 (1958), 111-129. |
[9] | H. Scheffé, The Analysis of Variance, Wiley, New York 1959. |
[10] | G.K. Shukla, An invariant test for the homogeneity of variances in a two-way classification, Biometrics 28 (1972), 1063-1072. |
[11] | G.K. Shukla, Testing the homogeneity of variances in a two-way classification, Biometrika 69 (1982), 411-416. |
Received 17 December 2003
Revised 28 June 2004