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Technometrics Volume 19, 1977 - Issue 3
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Original Articles

A Robust Alternative Based on Ranks to Least Squares in Analyzing Linear Models

Thomas P. Hettmansperger The Pennsylvania State University, Department of Statistics, 211 Pond Laboratory, University Park, Pennsylvania, 16802
&
Joseph W. McKean Department of Math Sciences, The University of Texas, Dallas, Richardson, Texas, 75080
Pages 275-284 | Published online: 09 Apr 2012

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Michal Černý, Miroslav Rada, Jaromír Antoch & Milan Hladík. (2022) A class of optimization problems motivated by rank estimators in robust regression. Optimization 71:8, pages 2241-2271.
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Yankun Gong & Asheber Abebe. (2012) On the Iteratively Reweighted Rank Regression Estimator. Communications in Statistics - Simulation and Computation 41:2, pages 155-166.
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H. Mansouri, R. L. Paige & J. G. Surles. (2004) Aligned Rank Transform Techniques for Analysis of Variance and Multiple Comparisons. Communications in Statistics - Theory and Methods 33:9, pages 2217-2232.
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MichaelG. Akritas, StevenF. Arnold & Edgar Brunner. (1997) Nonparametric Hypotheses and Rank Statistics for Unbalanced Factorial Designs. Journal of the American Statistical Association 92:437, pages 258-265.
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M. Mushfiqur rashid. (1996) Inference based on ranks for two-way models with a grouping factor and a repeated measures factor. Journal of Nonparametric Statistics 6:1, pages 27-42.
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JosephW. McKean, SimonJ. Sheather & ThomasP. Hettmansperger. (1994) Robust and High-Breakdown Fits of Polynomial Models. Technometrics 36:4, pages 409-415.
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Joshua Naranjo, Joseph W. Mckean, Simon J. Sheather & Thomas P. Hettmansperger. (1994) The use and interpretation of rank-based residuals. Journal of Nonparametric Statistics 3:3-4, pages 323-341.
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D.G. Simpson, D. Ruppert & R.J. Carroll. (1992) On One-Step GM Estimates and Stability of Inferences in Linear Regression. Journal of the American Statistical Association 87:418, pages 439-450.
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JosephW. McKean, SimonJ. Sheather & ThomasP. Hettmansperger. (1990) Regression Diagnostics for Rank-Based Methods. Journal of the American Statistical Association 85:412, pages 1018-1028.
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JosephW. McKean & GeraldL. Sievers. (1989) Rank Scores Suitable for Analyses of Linear Models Under Asymmetric Error Distributions. Technometrics 31:2, pages 207-218.
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Roger Koenker. (1988) Comment. Journal of Business & Economic Statistics 6:4, pages 447-449.
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D.I. Clark. (1986) Efficient calculation of hodges-lehmann estimators of location. Journal of Statistical Computation and Simulation 25:1-2, pages 127-136.
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George Heitmann & Keith Ord. (1985) An Interpretation of the Least Squares Regression Surface. The American Statistician 39:2, pages 120-123.
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Walter R. Pirie & Howard H. Rauch. (1984) Simulated efficiencies of tests and estimators from general linear models analysis based on ranks: the two-way layout with interaction. Journal of Statistical Computation and Simulation 20:3, pages 197-204.
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Robert V. Hogg & Russell V. Lenth. (1984) A review of some adaptive statistical techniques. Communications in Statistics - Theory and Methods 13:13, pages 1551-1579.
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ThomasP. Hettmansperger & JosephW. McKean. (1983) A Geometric Interpretation of Inferences Based on Ranks in the Linear Model. Journal of the American Statistical Association 78:384, pages 885-893.
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Richard F. Gunst. (1983) Regresion analysis with multicollinear predictor variables: definition, derection, and effects. Communications in Statistics - Theory and Methods 12:19, pages 2217-2260.
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Gerald L. Sievers. (1983) A weighted dispersion function for estimation in linear models. Communications in Statistics - Theory and Methods 12:10, pages 1161-1179.
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Kuo-Sheuan Cheng & Thomas P. Hettmansperger. (1983) Weighted least-squares rank estimates. Communications in Statistics - Theory and Methods 12:9, pages 1069-1086.
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Gilbert Bassett$suffix/text()$suffix/text() & Roger Koenker. (1982) An Empirical Quantile Function for Linear Models with iid Errors. Journal of the American Statistical Association 77:378, pages 407-415.
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Koenker Roger. (1982) Robust methods in econometrics. Econometric Reviews 1:2, pages 213-255.
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Ronald M. Schrader & Joseph W. Mc Kean. (1977) Robust analysis of variance. Communications in Statistics - Theory and Methods 6:9, pages 879-894.
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Thomas P. Hettmansperger & Jessica M. Utts. (1977) Robustness properties for a simple class of rank estimates. Communications in Statistics - Theory and Methods 6:9, pages 855-868.
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T. Mark Beasley, Stephen Erickson & David B. Allison. (2009) Rank-Based Inverse Normal Transformations are Increasingly Used, But are They Merited?. Behavior Genetics 39:5, pages 580-595.
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Guoying Li. 2006. Exploring Data Tables, Trends, and Shapes. Exploring Data Tables, Trends, and Shapes 281 343 .
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John D. Kalbfleisch & Ross L. Prentice. 2002. The Statistical Analysis of Failure Time Data. The Statistical Analysis of Failure Time Data 404 427 .
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David Birkes & Yadolah Dodge. 1993. Alternative Methods of Regression. Alternative Methods of Regression 111 141 .
Diane I. Gibbons, Gary C. McDonald & Richard F. Gunst. (1987) The complementary use of regression diagnostics and robust estimators. Naval Research Logistics 34:1, pages 109-131.
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D. I. Clark & M. R. Osborne. (1986) Finite Algorithms for Huber’s M -Estimator . SIAM Journal on Scientific and Statistical Computing 7:1, pages 72-85.
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C.A. ZITO, L.L. WILSON & H.B. GRAVES. 1985. Reproductive and Developmental Behaviour in Sheep. Reproductive and Developmental Behaviour in Sheep 369 383 .
James C. Aubuchon & Thomas P. Hettmansperger. 1984. Nonparametric Methods. Nonparametric Methods 259 274 .
M. R. Osborne. (2016) A finite algorithm for the rank regression problem. Journal of Applied Probability 19:A, pages 241-252.
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M. R. Osborne. (2016) A finite algorithm for the rank regression problem. Journal of Applied Probability 19:A, pages 241-252.
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Alan L. Porter, Terry Connolly, Russell G. Heikes & Choon Y. Park. (1981) Misleading indicators: The limitations of multiple linear regression in formulation of policy recommendations. Policy Sciences 13:4, pages 397-418.
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Joseph W. McKean & Ronald M. Schrader. (1980) The Geometry of Robust Procedures in Linear Models. Journal of the Royal Statistical Society Series B: Statistical Methodology 42:3, pages 366-371.
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William S. Agee & Robert H. Turner. 1979. Robustness in Statistics. Robustness in Statistics 107 126 .

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