Keywords:-

Keywords: statistical quality control, manufacturing, product-homogeneity, disparity-proportions, sampling, two-sample test, ordered data, indicator variables

Article Content:-

Abstract

Inter-sample-disparity proportions were derived and applied to data on the number of defective water bottles in a factory. The result showed that the proportion of the first-sample observations that were numerically greater than the second -sample observations was 84/100 and the proportion of the observations in the first sample that were less than the observations in the second sample was 16/100 . The difference between the two proportions, 68/100, was tested significant with an adapted normal test of the difference between two proportions. This result implied that the population contains heterogeneous elements confirming the unstable
position of the production process.

References:-

References

Adepoju, J. A. (2000) A First Course in Real Analysis: Expository Texts in Undergraduate Mathematics,

Uinversity of Lagos, Lagos, p. 26-27, 194pages

Brown, B. M., Newcombe, R. G. and Zhao, Y. (2009) Non-null Semi-parametric Inference for the Mann-

Whitney Measure, Journal of Non-parametric Statistics, vol. 21, Issue 6, pp. 745-755

Chakraborti, S.and vande Wiel, M. A. (2008) A nonparametric Control Chart Based on the Mann-

Whitney Statistic, Beyond Parametrics in Interdisciplinary Research , pp. 156-172

Chakraborti, S. and van de Wiel (2003) A Nonparametric Control Chart Based on the

Mann-Whitney Statistics, Department of Mathematics and Computer Science, Eindohoven University of

Technology, Eindohoven, The Netherlands,e-mail:m.a.v.d.wiel@TUE.nl and S. Chakraborti, Dept. of

Information Systems, Statitstics and Management Scieence, Univ. of Alabama, Tuscaloosa, Alabama,,

U.S.A.

Frank, H. and Althoen, S. C. (2002) Statistics Concepts and Applcation, Cambridge : Cambridge University

Press, pp.635-647

Neave, H. N. and Wheeler, D. J. (1996) Shewhart’s Charts and the Probability Approach, 2002 SPC Press, Knoxville,

Tennessee, Ninth Annual Conference of the British Deming Association

Stevenson,W. J. (2005) Operations Management, (8th edition), McGraw- Hill, Boston

Mason, D. M. and Schuenemeyer, J. H. (1983) A Modified Kolmogorov-Smirnov

Test Sensitive to Tail Alternatives, Annals of Statistics, Volume 11, Number 3, pp. 933-946

Siegel, S. and Castellan Jr, N. J. (1988) Nonparametric Statistics for the Behavioral Sciences, 2nd

edition, McGrawl Hill, New York : pp.45-51

SPC for MS EXCEL (e-mail: bill@spcforexcel.com) March 2005

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Alabi-Labaika, B. (2013). Inter-Sample-Disparity Proportions Used as a Quality- Control Method. International Journal Of Mathematics And Computer Research, 1(07), 189-196. Retrieved from https://ijmcr.in/index.php/ijmcr/article/view/213