Skip to main content
SpringerLink
Log in

An elementary model for statistical lot inspection and its application to sampling by variables

  • Publications
  • Published:
Metrika Aims and scope Submit manuscript

Abstract

Recently some critical papers have initiated a discussion on pros and cons of standard sampling by variables (sampling by measurement). This discussion demonstrates the need for clarification by a sound stochastic model of statistical lot inspection. On the basis of such a model, variables sampling for lot proportion nonconforming and attributes sampling can be compared in terms of the theory of statistical hypothesis testing. This comparison refutes the well-known dogma of “same protection at lower sample size with variables plans”. Sampling by measurement for lot means, however, emerges as a perfectly valid method of statistical lot inspection.

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

  • Burr IW (1976) Statistical quality control methods. Marcel Dekker, New York Basel

    MATH  Google Scholar 

  • von Collani E (1990) ANSI/ASQC Z1.4 versus ANSI/ASQC Z1.9. Economic Quality Control 5:60–64

    Google Scholar 

  • von Collani E (1991) A note on acceptance sampling for variables. Metrika 38:19–36

    Article  MATH  MathSciNet  Google Scholar 

  • Dodge HF (1969) Notes on the evolution of acceptance sampling plans. Parts I, II, III. Journal of Quality Technology 1:77–88, 155–162, 225–232

    Google Scholar 

  • Dodge HF (1970) Notes on the evolution of acceptance sampling plans. Part IV. Journal of Quality Technology 2:1–8

    Google Scholar 

  • Dodge HF, Romig HG (1959) Sampling inspection tables. 2nd ed. John Wiley New York

    MATH  Google Scholar 

  • Duncan AJ (1986) Quality control and industrial statistics. Fifth ed. Richard D Irwin Homewood Illinois

    Google Scholar 

  • Grant EL (1964) Statistical quality control. McGraw-Hill, New York Toronto London

    Google Scholar 

  • Gryna FM (1962) Statistical methods in the quality function. In: Juran JM, Seder LA, Gryna FM (Eds) Qualify Control Handbook. Second Edition, McGraw-Hill New York Toronto London

    Google Scholar 

  • Hryniewicz O (1991) A note on E. von Collanis paper “ANSI/ASQC Z1.4 versus ANSI/ASQC Z1.9”. Economic Quality Control 6: 16–18

    Google Scholar 

  • International Organization for Standardization (1989a) ISO 2859: Sampling procedures for inspection by attributes. International Organization for Standardization, Geneva

    Google Scholar 

  • International Organization for Standardization (1989b) ISO 3951: Sampling procedures and charts for inspection by variables for percent nonconforming. International Organization for Standardization, Geneva

    Google Scholar 

  • Ishikawa K (1985) What is total quality control? The Japanese way. Prentice-Hall, Englewood Cliffs New Jersey

    Google Scholar 

  • Jennett WJ, Welch BL (1939) The control of proportion defective as judged by a single quality characteristic varying on a continuous scale. Supplement to the Journal of the Royal Statistical Society 6:80–88

    Article  Google Scholar 

  • Lehmann EL (1959) Testing statistical hypotheses. John Wiley New York

    MATH  Google Scholar 

  • Romig HG (1939) Allowable average in sampling inspection. PhD Thesis, Columbia University New York

    Google Scholar 

  • Schilling EG (1982) Acceptance sampling in quality control. Marcel Dekker, New York Basel

    MATH  Google Scholar 

  • Shewhart WA (1931) Economic control of quality of manufactured product. D. van Nostrand Company, Princeton New Jersey

    Google Scholar 

  • Thyregod P (1973) On exchangeable prior information in sampling finite populations. In: Bulletin of the International Institute, Proceedings of the 39th Session 3:530–535

  • US Department of Defense (1957) Military standard, sampling procedures and tables for inspection by variables for percent defective (MIL-STD-414). US Government Printing Office, Washington DC

    Google Scholar 

  • US Department of Defense (1963) Military standard, sampling procedures and tables for inspection by attributes (MIL-STD-105D). US Government Printing Office, Washington DC

    Google Scholar 

  • Wadsworth HM, Stephens KS, Godfrey AB (1986) Modern methods for quality control and improvement. John Wiley, New York

    Google Scholar 

  • Wolff H (1992) A note on the evaluation of von Collani’s critique about acceptance sampling by variables. In: Proceedings of the Second Würzburg-Umeå Conference in Statistics. Institut für Angewandte Mathematik und Statistik der Universität Würzburg, 305–312

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Lehrstuhl für Statistik, Sanderring 2, 97070, Würzburg, Germany

    Rainer Göb

Authors
  1. Rainer Göb
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Göb, R. An elementary model for statistical lot inspection and its application to sampling by variables. Metrika 44, 135–163 (1996). https://doi.org/10.1007/BF02614062

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02614062

Keywords

Search

Navigation