Analysis of means - A review

Journal of Quality Technology

Volumn 37, Issue 4, 2005, Pages 308-315

  Rao, C V ^a,b  

^a ACHARYA NAGARJUNA UNIVERSITY   (India)

^b Department of Statistics ^*  (India)

Author keywords

ANOM Graphical Method

Indexed keywords

BIBLIOGRAPHIES; CORRELATION METHODS; DECISION MAKING; IDENTIFICATION (CONTROL SYSTEMS);

ANOM GRAPHICAL METHODS; INTERACTION EFFECTS; LINEAR CONTRASTS; SEARCH-AND-IDENTIFICATION PROCESS;

GRAPH THEORY;

EID: 26844546658     PISSN: 00224065     EISSN: None     Source Type: Journal    
DOI: 10.1080/00224065.2005.11980334     Document Type: Review

References (59)

1. BAKIR, S. T. (1989). "Analysis of Means Using Ranks". Communications in Statistics - Simulation and Computation 18, pp. 757-776.
2. BAKIR, S. T. (1994). "Analysis of Means Using Ranks for the Randomized Complete Block Design". Communications in Statistics - Simulation and Computation 23, pp. 547-568.
3. BARTLETT, M. S. and KENDALL, D. G. (1946). "The Statistical Analysis of Variance-Heterogeneity and the Logarithmic Transformation". Journal of Royal Statistical Society 8, pp. 128-138.
4. BERNARD, A. J. and WLUDYKA, P. S. (2001). "Robust I-Sample Analysis of Means Type Randomization Tests for Variances". Journal of Statistical Computation and Simulation 69, pp. 57-88.
5. BRATCHER, T. L.; MORAN, M. A.; and ZIMMER, W. J. (1970). "Tables of Sample Sizes in the Analysis of Variance". Journal of Quality Technology 2, pp. 156-164.
6. BUDSABA, K.; SMITH, C. E.; and RIVIERE, J. E. (2000). "Compass Plots: A Combination of Star Plot and Analysis of Means to Visualize Significant Interactions in Complex Toxicology Studies". Toxicology Methods 10, pp. 313-332.
7. CRAIG, C. C. (1947). "Control Charts Versus the Analysis of Variance in Process Control by Variables". Industrial Quality Control 3, pp. 14-16.
8. DUDEWICZ, E. J. and NELSON, P. R. (2003). "Heteroscedastic Analysis of Means (HANOM)". American Journal of Mathematical and Management Sciences 23, pp. 143-181.
9. ENRICK, N. L. (1976). "An Analysis of Means in a Three-Way Factorial". Journal of Quality Technology 8, pp. 189-196.
10. FARNUM, N. R. (2004). "Analysis of Means Tables Using Mathematical Processors". Quality Engineering 16, pp. 399-405.
11. GUIRGUIS, G. H. and TOBIAS, R. D. (2004). "On the Computation of the Distribution for the Analysis of Means". Communications in Statistics - Simulation and computation 33, pp. 861-887.
12. HALPERIN, M.; GREENHOUSE, S. W.; CORNFIELD, J.; and ZALOKAR, J. (1955). "Tables of Percentage Points for the Studentized Maximum Absolute Deviate in Normal Samples". Journal of American Statistical Association 50, pp. 185-195.
13. MASON, R. L.; GUNST, R. F.; and HESS, J. L. (1989). Statistical Design and Analysis of Experiments. John Wiley & Sons, New York, NY.
14. MONTGOMERY, D. C. (2001). Design and Analysis of Experiments, 5th edition. John Wiley & Sons, New York, NY.
15. NELSON, L. S. (1974). "Factors for the Analysis of Means". Journal Quality Technology 6, pp. 175-181.
16. NELSON, L. S. (1983a). "Exact Critical Values for Use with the Analysis of Means". Journal of Quality Technology 15, pp. 40-44.
17. NELSON, L. S. (1983b). "Transformations for Attribute Data". Journal of Quality Technology 15, pp. 55-56.
18. NELSON, P. R. (1982). "Exact Critical Points for the Analysis of Means". Communications in Statistics - Theory and Methods 11, pp. 699-709.
19. NELSON, P. R. (1983a). "A Comparison of Sample Sizes for the Analysis of Means and the Analysis of Variance". Journal of Quality Technology 15, pp. 33-39.
20. NELSON, P. R. (1983b). "The Analysis of Means for Balanced Experimental Designs". Journal of Quality Technology 15, pp. 45-54.
21. NELSON, P. R. (1985). "Power Curves for the Analysis of Means". Technometrics 27, pp. 65-73.
22. NELSON, P. R. (1988a). "Testing for Interactions Using the Analysis of Means". Technometrics 30, pp. 53-61.
23. NELSON, P. R. (1988b). "Application of the Analysis of Means". Conference Proceedings of the SAS Users Group International, pp. 225-230.
24. NELSON, P. R. (1993). "Additional Uses for the Analysis of Means and Extended Tables of Critical Values". Technometrics 35, pp. 61-71.
25. NELSON, P. R. and DUDEWICZ, E. J. (2002). "Exact Analysis of Means with Unequal Variances". Technometrics 44, pp. 152-160.
26. OHTA, H. (1981). "A Procedure for Pooling Data by the Analysis of Means". Journal of Quality Technology 13, pp. 115-119.
27. OTT, E. R. (1967). "Analysis of Means - A Graphical Procedure". Industrial Quality Control 24, pp. 101-109.
28. OTT, E. R. (1975). Process Quality Control. McGraw-Hill Kogakusha Ltd., Tokyo.
29. OTT, E. R. and SNEE, R. D. (1973). "Identifying Useful Differences in a Multiple-Head Machine". Journal of Quality Technology 5, pp. 47-57.
30. PARRA, M. G. and LOAIZA, P. R. (2003). "Application of Analysis of Means (ANOM) to Nested Designs for Improving the Visualization and Understanding of the Sources of Variation of Chemical and Pharmaceutical Processes", Quality Engineering 15, pp. 663-670.
31. PEARSON, E. S. and HARTLEY, H. O. (1951). "Charts of the Power Function of the Analysis of Variance Tests, Derived from the Non-Central F-Distribution". Biometrika 38, pp. 112-130.
32. PRAN KUMAR, M. and RAO, C. V. (1998). "ANOM-Type Graphical Method for Testing the Equality of Several Variances". Communications in Statistics - Simulation and Computation 27, pp. 459-468.
33. RAMIG, P. F. (1983). "Applications of the Analysis of Means". Journal of Quality Technology 15, pp. 19-25.
34. RAO, C. V. and HARIKRISHNA, S. (1997). "A Graphical Method for Testing the Equality of Several Variances". Journal of Applied Statistics 24, pp. 279-287.
35. RAO, C. V. and PRAN KUMAR, M. (2002). "ANOM-Type Graphical Methods for Testing the Equality of Several Correlation Coefficients". Gujarat Statistical Review 29, pp. 47-56.
36. RYAN, T. P. (1989). Statistical Methods for Quality Improvement. John Wiley & Sons, New York, NY.
37. SCHEFFE, H. (1947). "The Relationship of Control Charts to the Analysis of Variance and Chi-Square Tests". Journal of the American Statistical Association 42, pp. 425-431.
38. SCHILLING, E. G. (1973a). "A Systematic Approach to the Analysis of Means, Part I: Analysis of Treatment Effects". Journal of Quality Technology 5, pp. 93-108.
39. SCHILLING, E. G. (1973b). "A Systematic Approach to the Analysis of Means, Part II. Analysis of Contrasts, Part III. Analysis of Non-Normal Data". Journal of Quality Technology 5, pp. 147-159.
40. SCHILLING, E. G. (1979). "A Simplified Graphical Grand Lot Acceptance Sampling Procedure". Journal of Quality Technology 11, pp. 116-127.
41. SCHILLING, E. G.; SCHLOTZER, G.; SCHULTZ, H. E.; and SHEESLEY, J. H. (1980). "A FORTRAN Computer Program for Analysis of Variance and Analysis of Means". Journal of Quality Technology 12, pp. 106-113.
42. SHEESLEY, J. H. (1980). "Comparison of k Samples Involving Variables or Attribute Data Using the Analysis of Means". Journal of Quality Technology 12, pp. 47-52.
43. SHEESLEY, J. H. (1981). "Simplified Factors for Analysis of Means When the Standard Deviation Is Estimated from the Range". Journal of Quality Technology 13, pp. 184-185.
44. SNEE, R. D. (1983). "A Tribute to Ellis. R. Ott". Journal of Quality Technology 15, pp. 1-2.
45. SUBRAMANI, J. (1992). "Analysis of Means for Experimental Designs with Missing Observations". Communications in Statistics - Theory and Methods 21, pp. 2045-2057.
46. TOMLINSON, L. H. and LAVIGNA, R, J. (1983). "Silicon Crystal Termination - An Application of ANOM for Percent Defective Data". Journal of Quality Technology 15, pp. 26-32.
47. ULLMAN, N. R. (1989). "The Analysis of Means (ANOM) for Signal and Noise". Journal of Quality Technology 21, pp. 111-127.
48. WADSWORTH, H. M.; STEPHENS, K. S.; and GODFREY, A. B. (1986). Modern Methods for Quality Control and Improvement. John Wiley & Sons, New York, NY.
49. WESCOTT, M. E. (1983). "In Memoriam - Ellis Raymond Ott 1906-1981". Journal of Quality Technology 15, pp. 5-7.
50. WHEELER, D. J. (1987). Understanding Industrial Experimentation. SPC Press, Knoxville, TN.
51. WILSON, E. B. and HILFERTY, M. M. (1931). "The Distribution of Chi-Square". Proceedings of National Academy of Sciences, USA 17, pp. 684.
52. WLUDYKA, P. S. (1999). "Using SAS to Perform the Analysis of Means for Variances Test". Conference Proceedings of the South East SAS Users Group, pp. 420-425.
53. WLUDYKA, P. S. (2000). "Using SAS to Perform Robust I-Sample Analysis of Means Type Randomization Tests for Variances". Conference Proceedings of the South East SAS Users Group, pp. 537-542.
54. WLUDYKA, P. S. and NELSON, P. R. (1997a). "An Analysis-of-Means-Type Test for Variances from Normal Populations". Technometrics 39, pp. 274-285.
55. WLUDYKA, P. S. and NELSON, P. R. (1997b). "Analysis of Means Type Tests for Variances Using Jackknifing and Sub-sampling". American Journal of Mathematical and Management Sciences 17, pp. 31-60.
56. WLUDYKA, P. S. and NELSON, P. R. (1999). "Two Non-Parametric, Analysis-of-Means-Type Tests for Homogeneity of Variances". Journal of Applied Statistics 26, pp. 243-256.
57. WLUDYKA, P. S.; NELSON, P. R.; and SILVA, P. R. (2001). "Power Curves for the Analysis of Means for Variances". Journal of Quality Technology 33, pp. 60-65.
58. WLUDYKA, P. S. and SA, P. (2002). "Using SAS to Perform Robust I-Sample Analysis of Means Type Randomization Tests for Variances for Unbalanced Designs". Conference Proceedings of the SAS Users Group International.
59. WLUDYKA, P. S. and SA, P. (2004). "Robust I-Sample Analysis of Means Type Randomization Tests for Variances for Unbalanced Designs". Journal of Statistical Computation and Simulation 74, pp. 701-726.