Skip to main content
SpringerLink
Log in

Minimax versions of the two-stage t test

  • Regular Article
  • Published:
Statistical Papers Aims and scope Submit manuscript

Abstract

Let X be a N(μ, σ 2) distributed characteristic with unknown σ. We present the minimax version of the two-stage t test having minimal maximal average sample size among all two-stage t tests obeying the classical two-point-condition on the operation characteristic. We give several examples. Furthermore, the minimax version of the two-stage t test is compared with the corresponding two-stage Gauß test.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Bowker AH, Goode HP (1952) Sampling inspection by variables. McGraw-Hill, New York

    MATH  Google Scholar 

  • Feldmann B, Krumbholz W (2002) ASN-minimax double sampling plans for variables. Stat Pap 43: 361–377

    Article  MathSciNet  MATH  Google Scholar 

  • International Conference on Harmonisation of Technical Requirements for Registration of Pharmaceuticals for Human Use (ICH), Clinical Investigation of Medicinical Products in the Pediatric Population E 11, Step 4 version, 20 July 2000

  • Krumbholz W, Rohr A (2006) The operating characteristic of double sampling plans by variables when the standard deviation is unknown. Allgemeines Stat Arch 90: 233–251

    Article  MathSciNet  MATH  Google Scholar 

  • Krumbholz W, Rohr A (2009) Double ASN Minimax sampling plans by variables when the standard deviation is unknown. Adv Stat Anal 93: 281–294

    Article  MathSciNet  Google Scholar 

  • Rohr A (2009) Ein Algorithmus zur Bestimmung zweifacher ASN-optimaler Variablenprüfpläne für normalverteilte Merkmale mit unbekannter Varianz, Thesis, Helmut-Schmidt-Universität/Universität der Bundeswehr Hamburg

  • Sommers DJ (1981) Two point double variables sampling plans. J Qual Technol 13: 25–30

    Google Scholar 

  • Vangjeli E (2009) ASN-optimale zweistufige Versionen des Gauß- und t-Tests, Thesis, Helmut-Schmidt-Universität/Universität der Bundeswehr Hamburg

Download references

Author information

Authors and Affiliations

  1. Helmut-Schmidt-Universität, Universität der Bundeswehr, Postfach 700 822, 22008, Hamburg, Germany

    Wolf Krumbholz, Andreas Rohr & Eno Vangjeli

Authors
  1. Wolf Krumbholz
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Andreas Rohr
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Eno Vangjeli
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Wolf Krumbholz.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krumbholz, W., Rohr, A. & Vangjeli, E. Minimax versions of the two-stage t test. Stat Papers 53, 311–321 (2012). https://doi.org/10.1007/s00362-010-0339-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00362-010-0339-0

Keywords

Search

Navigation