Journal of Statistical Theory and Practice

, Volume 6, Issue 2, pp 239–250 | Cite as

Selection of the Double Sampling Plan Through Quality Regions

  • V. SangeethaEmail author
  • K. K. Suresh


In this article we have developed new method for designing sampling plans based on range of quality instead of pointwise description of quality by invoking a quality regions approach. Maximum allowable percent defective (MAPD) is also considered for the selection of parameters for a double sampling plan. New quality descriptors called operating ratios are introduced to design the sampling plan, and related information is provided. Illustrations are provided for ready-made use of the tables in shop-floor situations.

AMS Subject Classification

62P30 62D05 


Double sampling plan Indifference quality region Limiting quality region Probabilistic quality Region Quality decision region 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Cameron, J. M. 1952. Tables for constructing and for computing the operating characteristics of single sampling plans. Industrial Qual. Control, 9(1), 37–39.Google Scholar
  2. Craig, C. C. 1981. A note on the construction of double sampling plans. J. Qual. Technol., 13(3), 192–194.CrossRefGoogle Scholar
  3. Divya, P. R. 2009 Contributions to the study on sampling plans through quality Interval and their applications. PhD thesis, Bharathiar University, Tamilnadu, India.Google Scholar
  4. Dodge, H. F., and H. G. Romig. 1959. Sampling inspection tables, 2nd ed. New York, NY, Wiley.zbMATHGoogle Scholar
  5. Govindaraju, K., and K. Subramani. 1992. Selection of double sampling attributes plan for given acceptable quality level and limiting quality level. Commun. Stat.-Simulation Comput., 21(1), 221–242.CrossRefGoogle Scholar
  6. Guenther, W. C. 1970. A procedure for finding double sampling plans for attributes. J. Qual. Technol., 2(4), 219–225.CrossRefGoogle Scholar
  7. Hald, A. 1981. Statistical theory of sampling inspection by attributes. New York, NY, Academic Press.zbMATHGoogle Scholar
  8. Hamaker, H. C. 1979. Acceptance sampling for percent defective by variables and attributes. J. Qual. Technol., 11(3), 139–148.CrossRefGoogle Scholar
  9. Hamaker, H. C., and R. Vanstrick. 1955. The efficiency of double sampling for attributes. J. Am. Stat. Assoc., 50, 830–849.CrossRefGoogle Scholar
  10. Kuralmani, V. 1992. Studies on designing minimum inspection attribute acceptance sampling plans. PhD thesis, Department of Statistics, Bharathiar University, Tamilnadu, India.Google Scholar
  11. Mandelson, J. 1962. The statistician, the engineer and sampling plans. Industrial Qual. Control, 19, 12–15.Google Scholar
  12. Mayer, P. L. 1967. A note on the sum of Poisson probabilities and its applications. Ann. Inst. Stat. Math., 19, 537–542.CrossRefGoogle Scholar
  13. Schilling, E. G., and L. I. Johnson. 1980. Tables for the construction of matched single, double and multiple sampling plans with application to MIL-STD-105D. J. Qual. Technol., 12(4), 220–229.CrossRefGoogle Scholar
  14. Soundararajan, V. 1975. Maximum allowable percent defective (MAPD) single sampling inspection by attributes plan. J. Qual. Technol., 7(4), 173–182.CrossRefGoogle Scholar
  15. Soundararajan, V., and S. D. Arumainayagam. 1990. A generalized procedure for selection of attribute double sampling plan. Commun. Stat. Simulation Computation., 19(3), 1015–1034.CrossRefGoogle Scholar
  16. Soundararajan, V., and D. Muthuraj. 1989. Single sampling plan indexed by point of control and inflection point. Commun. Stat. Theory Methods, 14(10), 2393–2410.CrossRefGoogle Scholar
  17. Suresh, K. K., and P. R. Divya. 2009. Selection of single sampling plan through decision region. Int. J. Appl. Math. Stat., 14(S09), 66–78.MathSciNetGoogle Scholar
  18. Suresh, K. K., and V. Sangeetha, 2010. Selection of repetitive deferred sampling Plan through quality region. Int. J. Stat. Systems, 5(3), 379–389.Google Scholar
  19. Suresh, K. K., and V. Kaviyarasu. 2008. Certain results and tables relating QSS-1 with conditional RGS plan. IAPQR Trans., 33(1), 61–70.Google Scholar
  20. Suresh, K. K., and R. Saminathan. 2007. Selection of multiple repetitive group sampling plan involving maximum allowable percent defective and maximum allowable average outgoing quality. Int. J. Stat. Manage. Systems, 2(1–2), 22–30.MathSciNetGoogle Scholar
  21. Suresh, K. K., and T. Srivenkataramana. 1996. Selection of single sampling plans using producer and consumer quality levels. J. Appl. Stat. Sci., 3(4), 273–280.zbMATHGoogle Scholar
  22. Vedaldi, R. 1986. A new criterion for the construction of single sampling inspection plans by attributes., Riv. Stat. Appl., 19(3), 235–244.Google Scholar

Copyright information

© Grace Scientific Publishing 2012

Authors and Affiliations

  1. 1.Department of MathematicsKarunya UniversityTamilnaduIndia
  2. 2.Department of StatisticsBharathiar UniversityTamilnaduIndia

Personalised recommendations