Abstract
Statistical lot inspection is an application of the theory of statistical hypothesis testing in the industrial problem of deciding on hypotheses on the quality of finite lots by means of random samples from the lot. Both the systematic industrial implementation and the theoretical investigation of statistical lot inspection trace back to the work of H. F. Dodge at Bell Telephone Laboratories in the 1920s. Investigations on statistical lot inspection have received enormous interest in academic literature. However, rigorous methodological foundations are still missing. In particular, there is no generally accepted model for statistical lot inspection under continuous quality characteristics
This paper presents an elementary model for statistical lot inspection, with special emphasis on the topic of continuous quality characteristics. Under this model, the paper develops most powerful tests for the most important lot quality indicators under continuous quality characteristics: lot mean, average square deviation from target, lot minimum
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bain, L.J., and Engelhardt, M. (1991) Statistical Analysis of Reliability and Life-Testing Models. Marcel Dekker, New York/Basel/Hong Kong
Burr, I.W. (1976) Statistical Quality Control Methods. Marcel Dekker, New York, Basel
von Collani, E. (1990a) Wirtschaftliche Qualitätskontrolle - eine Ubersicht über einige neue Ergebnisse. OR Spektrum 12, 1–23
von Collani, E. (1990b) ANSI/ASQC Z1.4 versus ANSI/ASQC Z1.9. Economic Quality Control 5, 60–64
Deming, W.E. (1986) Out of the Crisis. Massachusetts Institute of Technology, Cambridge, Massachusetts
Dodge, H.F. (1969) Notes on the Evolution of Acceptance Sampling Plans. Parts I,II,III. Journal of Quality Technology 1, 77–88, 155–162, 225–232
Duncan, A.J. (1986) Quality Control and Industrial Statistics. Fifth ed. Richard D. Irwin, Homewood, Illinois
Feigenbaum, A.V. (1961) Total Quality Control. Mc Graw-Hill, New York
Göb, R. (1992a) Some Interesting Sampling Distributions and Their Applications. Proceedings of the Second Würzburg-Ume¨¢ Conference in Statistics, Würzburg 1992, 99–104
Göb, R. (1992b) Type A Operating Characteristic Functions of Defects Sampling Plans. Metrika 39, 139–153
Göb, R. (1995) Tests for the Minimum of Finite Lots Generated by a Process under Two-Parameter Exponential Distribution. Research Reports of the Würzburg Research Group on Quality Control 56
Göb, R. (1996a) An Elementary Model of Statistical Lot Inspection and its Application to Sampling by Variables. Metrika 44, 135–163
Göb, R. (1996b) Tests of Significance for the Mean of a Finite Lot. Metrika 44, 223–238
Göb, R. (1996c) Economic P-Minimax Acceptance Sampling Plans for the Average Square Deviation from Target in Finite Lots. Economic Quality Control 11(1), 23–52
Göb, R. (1997a) Tests of Significance for the Average Square Deviation from Target in a Finite Lot. Metrika 45, 131–169
Göb, R. (1997b) Economic Inspection for the Mean of a Finite Lot. Research Reports of the Würzburg Research Group on Quality Control 77, Revised version accepted for publication in Statistics & Decisions
Göb, R. (1997c) An Economic P-Minimax Decision Scheme for Inspecting the Lot Mean. Economic Quality Control 12(4), 227–253
Grant, E.L. (1964) Statistical Quality Control. McGraw-Hill, New York, Toronto, London
Hald, A. (1981) Statistical Theory of Sampling Inspection by Attributes. John Wiley, New York
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
Ishikawa, K. (1985) What is Total Quality Control? The Japanese Way. Prentice-Hall, Englewood Cliffs, New Jersey
Jennett, W.J., and Welch, B.L. (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
Krumbholz, W. (1982) Die Bestimmung einfacher Attributprüfpläne unter Berücksichtigung von unvollständiger Vorinformation. Allgemeines Statistisches Archiv 66, 240–253
Romig, H.G. (1939) Allowable Average in Sampling Inspection. Ph.D. Thesis, Columbia University, New York
Schilling, E.G. (1982) Acceptance Sampling in Quality Control. Marcel Dekker, New York/Basel
Taguchi, T., Elsayed, E.A., and Hsiang, T.C. (1989) Quality Engineering in Production Systems. McGraw-Hill, New York
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
Wadsworth, H.M., Stephens, K.S., and Godfrey, A.B. (1986) Modern Methods for Quality Control and Improvement. John Wiley, New York
Wetherill, G.B., and Chiu, W.K. (1975) A Review of Acceptance Sampling Schemes with Emphasis on the Economic Aspect. International Statistical Review 43, 191–209
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Göb, R. (2001). Methodological Foundations of Statistical Lot Inspection. In: Lenz, HJ., Wilrich, PT. (eds) Frontiers in Statistical Quality Control 6. Frontiers in Statistical Quality Control, vol 6. Physica, Heidelberg. https://doi.org/10.1007/978-3-642-57590-7_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-57590-7_1
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-1374-6
Online ISBN: 978-3-642-57590-7
eBook Packages: Springer Book Archive