Two-Stage Short-Run ([Xbar], s) Control Charts

References

• Bain , L. J. and Engelhardt , M. 1992 . Introduction to Probability and Mathematical Statistics. , 2nd Ed. 268 – 269 . Belmont, CA : Duxbury Press . 275–276
   Google Scholar
• Burr , I. W. 1976 . Statistical Quality Control Methods 54 New York, NY : Marcel Dekker, Inc. .
   Google Scholar
• Duncan , A. J. 1974 . Quality Control and Industrial Statistics. , 4th Ed. 968 – 969 . Homewood, IL : Richard D. Irwin Inc. . 453
   Google Scholar
• Elam , M. E. Investigation, Extension, and Generalization of a Methodology for Two Stage Short Run Variables Control Charting . Ph.D. dissertation . Vol. 61 , pp. 78 – 102 . Stillwater, Oklahoma : Oklahoma State University . 255–276
   Google Scholar
• Elam , M. E. and Case , K. E. 2001 . A computer program to calculate two-stage short-run control chart factors for ([Xbar], R) charts . Quality Engineering , 14 ( 1 ) : 77 – 102 .
   Google Scholar
• Elam , M. E. and Case , K. E. 2003a . Two-stage short-run ([Xbar], v) and control charts . Quality Engineering , 15 ( 3 ) : 441 – 448 .
   Google Scholar
• Elam , M. E. and Case , K. E. 2003b . A computer program to calculate two-stage short-run control chart factors for ([Xbar], v) and charts . Quality Engineering , 15 ( 4 ) : 609 – 638 .
   Google Scholar
• Elam , M. E. and Case , K. E. 2004 . A computer program to calculate two-stage short-run control chart factors for ([Xbar], s) charts . Quality Engineering , 17 ( 2 ) to appear
   Google Scholar
• Hartley , H. O. 1944 . Studentization, or the elimination of the standard deviation of the parent population from the random sample-distribution of statistics . Biometrika , 33 : 173 – 180 .
   Google Scholar
• Hillier , F. S. 1964 . [Xbar] Chart control limits based on a small number of subgroups . Industrial Quality Control. , 20 ( 8 ) : 24 – 29 .
   Google Scholar
• Hillier , F. S. 1967 . Small sample probability limits for the range chart . Journal of the American Statistical Association , 62 ( 320 ) : 1488 – 1493 .
   Web of Science ®Google Scholar
• Hillier , F. S. 1969 . [Xbar]- and R-chart control limits based on a small number of subgroups . Journal of Quality Technology , 1 ( 1 ) : 17 – 26 .
   Google Scholar
• Irwin , J. O. 1931 . Mathematical theorems involved in the analysis of variance . Journal of the Royal Statistical Society , 94 ( Part II ) : 284 – 300 .
   Google Scholar
• Johnson , N. L. and Welch , B. L. 1939 . On the calculation of the cumulants of the χ-distribution . Biometrika , 31 : 216 – 218 .
   Google Scholar
• Lord , E. 1950 . Power of the modified t-test (u-Test) based on range . Biometrika , 37 : 64 – 77 .
   PubMed Web of Science ®Google Scholar
• Mead , R. 1966 . A quick method of estimating the standard deviation . Biometrika , 53 : 559 – 564 .
   Web of Science ®Google Scholar
• Palm , A. C. and Wheeler , D. J. 1990 . Equivalent degrees of freedom for estimates of the process standard deviation based on Shewhart control charts . Unpublished Manuscript
   Google Scholar
• Patnaik , P. B. 1950 . The use of mean range as an estimator of variance in statistical tests . Biometrika , 37 : 78 – 87 .
   PubMed Web of Science ®Google Scholar
• Prescott , P. 1971 . Use of a simple range-type estimator of σ in tests of hypotheses . Biometrika , 58 ( 2 ) : 333 – 340 .
   Web of Science ®Google Scholar
• Pyzdek , T. 1993 . Process control for short and small runs . Quality Progress , 26 ( 4 ) : 51 – 60 .
   Google Scholar
• Wheeler , D. J. 1995 . Advanced Topics in Statistical Process Control 416 Knoxville, TN : SPC Press, Inc. . 433, 438
   Google Scholar
• Yang , S.-F. 1995 . Control Policy for Small and Short Production Runs 12 – 63 . Taiwan, , ROC : National Science Council Research Report .
   Google Scholar
• Yang , S.-F. 1999 . An approach to controlling process variability for short production runs . Total Quality Management , 10 ( 8 ) : 1123 – 1129 .
   Web of Science ®Google Scholar
• Yang , S.-F. 2000 . Statistical process control for short run manufacturing systems . Process Control and Quality , 11 ( 5 ) : 433 – 439 .
   Google Scholar
• Yang , C.-H. and Hillier , F. S. 1970 . Mean and variance control chart limits based on a small number of subgroups . Journal of Quality Technology , 2 ( 1 ) : 9 – 16 .
   Google Scholar