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Assessing Nonsuperiority, Noninferiority, or Equivalence When Comparing Two Regression Models Over a Restricted Covariate Region

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  • W. Liu
  • F. Bretz
  • A. J. Hayter
  • H. P. Wynn

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  • W. Liu & F. Bretz & A. J. Hayter & H. P. Wynn, 2009. "Assessing Nonsuperiority, Noninferiority, or Equivalence When Comparing Two Regression Models Over a Restricted Covariate Region," Biometrics, The International Biometric Society, vol. 65(4), pages 1279-1287, December.
    • Handle: RePEc:bla:biomet:v:65:y:2009:i:4:p:1279-1287
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    File URL: http://hdl.handle.net/10.1111/j.1541-0420.2008.01192.x
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    References listed on IDEAS

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    1. Liu W. & Jamshidian M. & Zhang Y., 2004. "Multiple Comparison of Several Linear Regression Models," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 395-403, January.
    2. Yu-Ling Tseng, 2002. "Optimal confidence sets for testing average bioequivalence," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 11(1), pages 127-141, June.
    3. Wei Pan & Walter Piegorsch & R. West, 2003. "Exact one-sided simultaneous confidence bands via Uusipaikka’s method," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 55(2), pages 243-250, June.
    4. Liu, W. & Hayter, A.J., 2007. "Minimum Area Confidence Set Optimality for Confidence Bands in Simple Linear Regression," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 181-190, March.
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    Cited by:

    1. Sanyu Zhou, 2018. "An exact method for the multiple comparison of several polynomial regression models with applications in dose-response study," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 102(3), pages 413-429, July.
    2. Kathrin Möllenhoff & Achim Tresch, 2023. "Investigating non-inferiority or equivalence in time-to-event data under non-proportional hazards," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 29(3), pages 483-507, July.
    3. Dette, Holger & Schorning, Kirsten & Konstantinou, Maria, 2017. "Optimal designs for comparing regression models with correlated observations," Computational Statistics & Data Analysis, Elsevier, vol. 113(C), pages 273-286.
    4. Soichiro Yamauchi, 2020. "Difference-in-Differences for Ordinal Outcomes: Application to the Effect of Mass Shootings on Attitudes toward Gun Control," Papers 2009.13404, arXiv.org.
    5. Chang-Yu Liu & Xin Liu & Rong-Xian Yue, 2024. "Locally optimal designs for comparing curves in generalized linear models," Statistical Papers, Springer, vol. 65(5), pages 3181-3201, July.
    6. Liu, Xin & Ye, Min & Yue, Rong-Xian, 2021. "Optimal designs for comparing population curves in hierarchical models," Statistics & Probability Letters, Elsevier, vol. 178(C).
    7. Kato, Naohiro & Kuriki, Satoshi, 2013. "Likelihood ratio tests for positivity in polynomial regressions," Journal of Multivariate Analysis, Elsevier, vol. 115(C), pages 334-346.
    8. Sanyu Zhou & Defa Wang & Jingjing Zhu, 2020. "Construction of simultaneous confidence bands for a percentile hyper-plane with predictor variables constrained in an ellipsoidal region," Statistical Papers, Springer, vol. 61(3), pages 1335-1346, June.

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