IDEAS home Printed from https://ideas.repec.org/a/spr/stpapr/v56y2015i4p1099-1113.html
   My bibliography  Save this article

Simultaneous inferences: new method of maximum combination

Author

Listed:
  • A. Martín Andrés
  • M. Álvarez Hernández

Abstract

The Scheffé method is used to carry out simultaneous inferences on many linear combinations of $$K$$ K parameters. Frequently these combinations arise from the need to explain the causes of significance of the homogeneity test for all the parameters. This paper proposes an alternative methodology based on the maximization of the contrast statistic in the coefficient of the combination. This new method, compatible with Scheffé’s method, in addition yields the statistic which should be used for the global test, as well as the combination of maximum significance. The method is illustrated in the cases of $$K$$ K means of normal distributions and $$K$$ K binomial proportions (independent samples). In the second case, the method allows a homogeneity test that is more powerful than Pearson’s classic chi-squared test to be obtained. The program which determines this may be obtained at http://www.ugr.es/local/bioest/Z_LINEAR_K.EXE . Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • A. Martín Andrés & M. Álvarez Hernández, 2015. "Simultaneous inferences: new method of maximum combination," Statistical Papers, Springer, vol. 56(4), pages 1099-1113, November.
    • Handle: RePEc:spr:stpapr:v:56:y:2015:i:4:p:1099-1113
    DOI: 10.1007/s00362-014-0627-1
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00362-014-0627-1
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00362-014-0627-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Zou, Guang Yong & Huang, Wenyi & Zhang, Xiaohe, 2009. "A note on confidence interval estimation for a linear function of binomial proportions," Computational Statistics & Data Analysis, Elsevier, vol. 53(4), pages 1080-1085, February.
    2. Price, Robert M. & Bonett, Douglas G., 2004. "An improved confidence interval for a linear function of binomial proportions," Computational Statistics & Data Analysis, Elsevier, vol. 45(3), pages 449-456, April.
    3. Zhongxue Chen & Hon Ng & Saralees Nadarajah, 2014. "A note on Cochran test for homogeneity in one-way ANOVA and meta-analysis," Statistical Papers, Springer, vol. 55(2), pages 301-310, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chen, Zhongxue, 2014. "Extension of Mood’s median test for survival data," Statistics & Probability Letters, Elsevier, vol. 95(C), pages 77-84.
    2. Hothorn Ludwig A & Sill Martin & Schaarschmidt Frank, 2010. "Evaluation of Incidence Rates in Pre-Clinical Studies Using a Williams-Type Procedure," The International Journal of Biostatistics, De Gruyter, vol. 6(1), pages 1-19, April.
    3. Niu, Cuizhen & Guo, Xu & McAleer, Michael & Wong, Wing-Keung, 2018. "Theory and application of an economic performance measure of risk," International Review of Economics & Finance, Elsevier, vol. 56(C), pages 383-396.
    4. José Antonio Roldán-Nofuentes & Tulsi Sagar Sheth & José Fernando Vera-Vera, 2024. "Hypothesis Test to Compare Two Paired Binomial Proportions: Assessment of 24 Methods," Mathematics, MDPI, vol. 12(2), pages 1-24, January.
    5. M. Álvarez Hernández & A. Martín Andrés & I. Herranz Tejedor, 2016. "One-sided asymptotic inferences for a proportion," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(9), pages 1738-1752, July.
    6. Douglas G. Bonett & Robert M. Price, 2012. "Adjusted Wald Confidence Interval for a Difference of Binomial Proportions Based on Paired Data," Journal of Educational and Behavioral Statistics, , vol. 37(4), pages 479-488, August.
    7. Zou, G.Y., 2010. "Confidence interval estimation under inverse sampling," Computational Statistics & Data Analysis, Elsevier, vol. 54(1), pages 55-64, January.
    8. Klingenberg, Bernhard, 2012. "Simultaneous score confidence bounds for risk differences in multiple comparisons to a control," Computational Statistics & Data Analysis, Elsevier, vol. 56(5), pages 1079-1089.
    9. Zou, Guang Yong & Huang, Wenyi & Zhang, Xiaohe, 2009. "A note on confidence interval estimation for a linear function of binomial proportions," Computational Statistics & Data Analysis, Elsevier, vol. 53(4), pages 1080-1085, February.
    10. Zou, Guang Yong & Taleban, Julia & Huo, Cindy Y., 2009. "Confidence interval estimation for lognormal data with application to health economics," Computational Statistics & Data Analysis, Elsevier, vol. 53(11), pages 3755-3764, September.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:stpapr:v:56:y:2015:i:4:p:1099-1113. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.