A complete solution to the problem of robustness of Grubbs's test

DOI10.2307/3315459zbMath0731.62082OpenAlexW1967840806MaRDI QIDQ3357345

Simo Puntanen, Jerzy K. Baksalary

Publication date: 1990

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3315459

zbMATH Keywords

robustnessintraclass correlation structuredispersion matricesGrubbs' testunivariate outlier

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Robustness and adaptive procedures (parametric inference) (62F35) Basic linear algebra (15A99)

Related Items (10)

Independence-distribution-preserving dependency structures for the modified likelihood ratio test for detecting unequal covariance matrices ⋮ Independence distribution preserving joint covariance structures for the multivariate two-group case ⋮ A characterization of nonnegative-definite independence distribution-preserving covariance structures for the maximum squared-radii statistic ⋮ Data transformation technique to improve the outlier detection power of Grubbs' test for data expected to follow linear relation ⋮ Irregularities inX(Y) fromY(X) in linear calibration ⋮ Applied regression analysis bibliography update 1990-91 ⋮ Outlier detection under star-contoured errors ⋮ An adjusted Grubbs' and generalized extreme studentized deviation ⋮ Structured dispersion and validity in linear inference ⋮ A characterization of the independence - distribution - preserving covariance structure for the multivariate maximum squared - radii statistic

Cites Work

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• Three theorems with applications to Euclidean distance matrices
• Rejection of Outliers
• Nonnegative definite and positive definite solutions to the matrix equationAXA^*=B
• On the effect of correlation and unequal variances in detecting a spurious observation
• Effect of equicorrelation in detecting a spurious observation
• Effect of correlation on the estimation of a mean in the presence of spurious observations
• Sample Criteria for Testing Outlying Observations

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