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Rank tests and regression rank score tests in measurement error models

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  • Jurecková, Jana
  • Picek, Jan
  • Saleh, A.K.Md. Ehsanes
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    Abstract

    The rank and regression rank score tests of linear hypothesis in the linear regression model are modified for measurement error models. The modified tests are still distribution free. Some tests of linear subhypotheses are invariant to the nuisance parameter, others are based on the aligned ranks using the R-estimators. The asymptotic relative efficiencies of tests with respect to tests in models without measurement errors are evaluated. The simulation study illustrates the powers of the tests.

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    File URL: http://www.sciencedirect.com/science/article/B6V8V-4X4RWJX-1/2/abea8ae6965264754d493500236491aa
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    Bibliographic Info

    Article provided by Elsevier in its journal Computational Statistics & Data Analysis.

    Volume (Year): 54 (2010)
    Issue (Month): 12 (December)
    Pages: 3108-3120

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    Handle: RePEc:eee:csdana:v:54:y:2010:i:12:p:3108-3120

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    Web page: http://www.elsevier.com/locate/csda

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    6. Joshua Angrist & Victor Chernozhukov & Iván Fernández-Val, 2006. "Quantile Regression under Misspecification, with an Application to the U.S. Wage Structure," Econometrica, Econometric Society, vol. 74(2), pages 539-563, 03.
    7. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January.
    8. Cardot, Herve & Crambes, Christophe & Kneip, Alois & Sarda, Pascal, 2007. "Smoothing splines estimators in functional linear regression with errors-in-variables," Computational Statistics & Data Analysis, Elsevier, vol. 51(10), pages 4832-4848, June.
    9. Vidal, Ignacio & Iglesias, Pilar, 2008. "Comparison between a measurement error model and a linear model without measurement error," Computational Statistics & Data Analysis, Elsevier, vol. 53(1), pages 92-102, September.
    10. Sexton, Joseph & Laake, Petter, 2008. "LogitBoost with errors-in-variables," Computational Statistics & Data Analysis, Elsevier, vol. 52(5), pages 2549-2559, January.
    11. Liu, Wei & Wu, Lang, 2008. "A semiparametric nonlinear mixed-effects model with non-ignorable missing data and measurement errors for HIV viral data," Computational Statistics & Data Analysis, Elsevier, vol. 53(1), pages 112-122, September.
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