An overview of design of experiments

Statistical Papers

Volumn 37, Issue , 1996, Pages 1-32

  Draper, N R ^a   Pukelsheim, F ^b  

^a University of Wisconsin   (United States)

^b UNIVERSITY OF AUGSBURG   (Germany)

Author keywords

Block designs; Design algorithms; Design optimality; Designs for agricultural experiments and biometry; Designs for industrial quality improvement; Mixtures experiment designs; Neighbor Designs; Response surface designs

Indexed keywords

EID: 0642280858     PISSN: 09325026     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02926157     Document Type: Review

References (104)

1. Abt M (1992). Some exact optimal designs for linear covariance functions in one dimension. Communications in Statistics, Theory and Methods 21 2059-2069.
2. Abt M, Mayer R, Pukelsheim F (1995). Improving manufacturing quality through planned experiments: pressure governor case study. Surveys on Mathematics for Industry 5 35-47.
3. Abt M, Pukelsheim F (1995). Improving manufacturing quality through planned experiments: statistical methodology. Surveys on Mathematics for Industry 5 27-33.
4. Atkinson AC, Donev AN (1992). Optimum Experimental Designs. Oxford: Clarendon Press.
5. Bailey RA (1983). Randomization. pp. 9-26 in: Recent Trends in Statistics. Proceeding of the Dortmund 1982 Anglo-German Statistical Meeting (Heiler S, ed.). Göttingen: Vandenhoeck & Ruprecht.
6. Bailey RA (1985). Restricted randomization versus blocking. International Statistical Review 53 171-182.
7. Bailey RA (1990). Cyclic designs and factorial designs, pp. 51-74 in: Probability, Statistics and Design of Experiments. Proceedings of the Delhi 1988 Symposium in Honour of RC Bose (Bahadur RR, ed.). New Delhi: Wiley Eastern.
8. Bandemer H (ed.) (1977). Theorie und Anwendung der optimalen Versuchsplanung I. Handbuch zur Theorie. Berlin: Akademie-Verlag.
9. Bandemer H, Näther W (1980). Theorie und Anwendung der optimalen Versuchsplanung II. Handbuch zur Anwendung. Berlin: Akademie-Verlag.
10. Banks D (1993). Is industrial statistics out of control? With discussion. Statistical Science 88 356-409.
11. Bates DM, Watts DG (1988). Nonlinear Regression Analysis and Its Applications. New York: Wiley.
12. Berenblut II, Webb GI (1974). Experimental design in the presence of autocorrelated errors. Biometrika 61 427-437.
13. Bischoff W (1993). On D-optimal designs for linear models under correlated observations with an application to a linear model with multiple response. Journal of Statistical Planning and Inference 37 69-80.
14. Box GEP (1985). The Collected Works of George E.P. Box (Tiao GC, Granger CWJ, Guttman I, Margolin BH, Snee RD, Stigler SM, eds.). Belmont, CA: Wadsworth.
15. Box GEP, Cox DR (1964). An analysis of transformations. With discussion. Journal of the Royal Statistical Society, Series B 26 211-252.
16. Box GEP, Draper NR (1969). Evolutionary Operation. New York: Wiley.
17. Box GEP, Draper NR (1987). Empirical Model-Building and Response Surfaces. New York: Wiley.
18. Box GEP, Hunter JS (1957). Multifactor experimental designs for exploring response surfaces. Annals of Mathematical Statistics 28 195-241.
19. Box GEP, Hunter WG, Hunter JS (1978). Statistics for Experimenters. New York: Wiley.
20. Box GEP, Wilson KB (1951). On the experimented attainment of optimum conditions. With discussion. Journal of the Royal Statistical Society, Series B 13 1-45. Reprinted in: Breakthroughs in Statistics II (Kotz S, Johnson NL, eds.). New York: Wiley.
21. Box GEP, Wilson KB (1951). On the experimented attainment of optimum conditions. With discussion. Journal of the Royal Statistical Society, Series B 13 1-45. Reprinted in: Breakthroughs in Statistics II (Kotz S, Johnson NL, eds.). New York: Wiley.
22. Box GEP, Youle PV (1955). The exploration and exploitation of response surfaces: An example of the link between the fitted surface and the basic mechanism of the system. Biometrics 11 287-323.
23. Cheng CS (1978). Optimal designs for the elimination of multi-way heterogeneity. Annals of Statistics 6 1262-1272.
24. Cheng CS (1983). Construction of optimal balanced incomplete block designs for correlated observations. Annals of Statistics 11 240-246.
25. Clatworthy WH (1956). Contributions on Partially Balanced Incomplete Block Designs with Two Associate Classes. National Bureau of Standards Applied Mathematics Series 47. Superintendent of Documents, US Government Printing Office.
26. Clatworthy WH (1973). Tables of Two-Associate-Class Partially Balanced Designs. National Bureau of Standards Applied Mathematics Series 63. Superintendent of Documents, US Government Printing Office.
27. Constantine GM (1987). Combinatorial Theory and Statistical Design. New York: Wiley.
28. Cook DV, Fedorov VV (1994). Constrained optimization of experimental design. With discussion. Statistics 28 129-178.
29. Cornell JA (1990). Experiments with Mixtures, Second Edition. New York: Wiley.
30. Cressie N (1991). Statistics for Spatial Data. New York: Wiley.
31. Daniel C (1976). Applications of Statistics to Industrial Experimentation. New York: Wiley.
32. Deming WE (1986). Out of the Crisis. Cambridge, MA: MIT Center for Advanced Engineering Study.
33. Dette H (1992). Optimal designs for a class of polynomials of odd or even degree. Annals of Statistics 20 238-259.
34. Draper NR, Gaffke N, Pukelsheim F (1991). First and second order rotatability of experimental designs, moment matrices, and information surfaces. Metrika 38 129-161.
35. Draper NR, Pukelsheim F (1990). Another look at rotatability. Technometrics 32 195-202.
36. Draper NR, Pukelsheim F (1994). On third order rotatability. Metrika 41 137-161.
37. Draper NR, Smith H (1981). Applied Regression Analysis. New York: Wiley.
38. Dyke GV (1974). Comparative Experiments with Field Crops. London: Butterworths.
39. Efron B (1971). Forcing a sequential experiment to be balanced. Biometrika 58 403-417.
40. Elfving G (1952). Optimum allocation in linear regression theory. Annals of Mathematical Statistics 23 255-262.
41. Federer WT, Balaam LN (1972). Bibliography on Experiment and Treatment Design Pre-1968. Edinburgh: Oliver & Boyd.
42. Fedorov VV (1972). Theory of Optimal Experiments. New York: Academic Press.
43. Fisher RA (1925). Statistical Methods for Research Workers, Edinburgh: Oliver & Boyd. (10th edition, 1948)
44. Fisher RA (1926). The arrangement of field experiments. Journal of the Ministry of Agriculture 33 503-513.
45. Fisher RA (1935). Design of Experiments, Edinburgh: Oliver & Boyd. (8th edition, 1966)
46. Fisher RA (1966). Design of Experiments, Eighth Edition. Edinburgh: Oliver & Boyd.
47. Fisher RA, Yates F (1938). Statistical Tables for Biological, Agricultural and Medical Research. (5th edition, 1957)
48. Fisher RA, Yates F (1963). Statistical Tables for Biological, Agricultural and Medical Research, Sixth Edition. New York: Hafner.
49. Gaffke N (1987). On D-optimality of exact linear regression designs with minimum support. Journal of Statistical Planning and Inference 15 189-204.
50. Gaffke N, Mathar R (1992). On a class of algorithms from experimental design theory. Optimization 24 91-126.
51. Ghosh S (1990). Statistical Design and Analysis of Industrial Experiments. New York: Dekker.
52. Gill PS, Shukla GK (1985). Efficiency of nearest neighbour balanced block designs for correlated observations. Biometrika 72 539-544.
53. Grize YL (1995). Review of robust process design approaches. Journal of Chemometrics 9 239-262.
54. Grondona MO, Cressie N (1991). Using spatial considerations in the analysis of experiments. Technometrics 33 381-392.
55. Grove D, Davis TP (1992). Engineering, Quality, and Experimental Design. Harlow, Essex, UK: Longman.
56. Hardin RH, Sloane NJA (1992). A new approach to the construction of optimal designs. Journal of Statistical Planning and Inference 37 339-369.
57. Hedayat AS, Jacroux M, Majumdar D (1988). Optimal designs for comparing test treatments with a control. With discussion. Statistical Science 3 462-491.
58. Heiligers B (1991). A note on the connectedness of block designs. Metrika 38 377-381.
59. John JA (1995). Cyclic Designs, Second Edition. London: Chapman and Hall.
60. John PWM (1990). Statistical Methods in Engineering and Quality Assurance. New York: Wiley.
61. Kempthorne O (1952). The Design and Analysis of Experiments. New York: Wiley.
62. Khuri AI (1988). A measure of rotatability for response-surface designs. Technometrics 30 95-104.
63. Khuri AI, Cornell JA (1987). Response Surfaces. New York: Marcel Dekker.
64. Kiefer JC (1985). Collected Papers III (Brown LD, Olkin I, Sacks J, Wynn HP, eds.). New York: Springer.
65. Kiefer JC, Wynn HP (1984). Optimum and minimax exact treatment designs for one-dimensional autoregressive error processes. Annals of Statistics 12 431-450.
66. Krafft O (1978). Lineare statistische Modelle und optimale Versuchspläne. Göttingen: Vandenhoeck & Ruprecht.
67. Kunert J (1985). Optimal repeated measurements designs for correlated observations and analysis by weighted least squares. Biometrika 72 375-389.
68. Kunert J (1987). Neighbour balanced block designs for correlated errors. Biometrika 74 717-724.
69. Kunert J, Martin RJ (1987). On the optimally of finite Williams II(a) designs. Annals of Statistics 15 1604-1628.
70. Kurotschka V (1971). Optimale Versuchspläne bei zweifach klassifizierten Beobachtungsmodellen. Metrika 17 215-232.
71. Logothetis N, Wynn HP (1989). Quality Through Design. Oxford: Clarendon Press.
72. Martin RJ (1986). On the design of experiments under spatial correlation. Biometrika 73 247-277.
73. Mead R, Curnow RN, Hasted AM (1993). Statistical Methods in Agriculture and Experimental Biology, Second Edition. London: Routledge, Chapman and Hall.
74. Morgan JP, Chakravarty IM (1988). Block designs for first and second order neighbor correlations. Annals of Statistics 16 1206-1224.
75. Myers RH, Khuri AI, Carter WH (1989). Response surface methodology: 1966-1988. Technometrics 31 137-157.
76. Nachtsheim CJ (1987). Tools for computer-aided design of experiments. Journal of Quality Technology 19 132-160.
77. Nair VJ (1992). Taguchi's parameter design: A panel discussion. Technometrics 34 127-161.
78. Pázman A (1986). Foundations of Optimum Experimental Design. Dordrecht: Reidel.
79. Peirce CS (1957). Essays in the Philosophies of Science (Tomas V, ed.). Indianapolis: Bobbs-Merrill.
80. Pilz J (1991). Estimation and Experimental Design in Linear Regression Models. New York: Wiley.
81. Plackett RL (1946). Some generalizations in the multifactorial design. Biometrika 33 328-332.
82. Plackett RL, Burman JP (1946). The design of optimum multifactorial experiments. Biometrika 33 305-325.
83. Pukelsheim F (1993). Optimal Design of Experiments. New York: Wiley.
84. Raghavarao D (1971). Constructions and Combinatorial Problems in Design of Experiments. New York: Wiley.
85. Raktoe BL, Hedayat A, Federer WT (1981). Factorial Designs. New York: Wiley.
86. Rasch D, Guiard V, Nürnberg G (1992). Statistische Versuchsplanung. Stuttgart: Gustav Fischer.
87. Scheffé H (1958). Experiments with mixtures. Journal of the Royal Statistical Society, Series B 20 344-360.
88. Scheffé H (1963). The simplex-centroid design for experiments with mixtures. Journal of the Royal Statistical Society, Series B 25 235-263.
89. Seber GAF, Wild CJ (1989). Nonlinear Regression. New York: Wiley.
90. Shah KS, Sinha BK (1989). Theory of Optimal Designs. Lecture Notes in Statistics 54. New York: Springer.
91. Shoemaker AC, Tsui KL, Wu CFJ (1991). Economical experimentation methods for robust design. Technometrics 33 415-427.
92. Silvey SD (1980). Optimal Design. London: Chapman and Hall.
93. Silvey SD, Titterington MD, Torsney B (1978). An algorithm for optimal design on a finite design space. Communications in Statistics, Theory and Methods A7 1379-1389.
94. Stigler SM (1986). The History of Statistics. Cambridge, MA: Belknap Press.
95. Street AP, Street DJ (1987). Combinatorics of Experimental Design. Oxford: Clarendon Press.
96. Studden WJ (1982). Some robust-type D-optimal designs in polynomial regression. Journal of the American Statistical Association 77 916-921.
97. Taguchi G (1987). System of Experimental Design. New York: Kraus.
98. Titterington DM (1980). Aspects of optimal design in dynamic systems. Technometrics 22 287-299.
99. Weihs C, Berres M, Grize YL (1995). Statistical design of experiments in industrial practice. Surveys on Mathematics for Industry 5 49-73.
100. Welch WJ (1984). Algorithms for the construction of experimental designs. User's Guide Version 1.5.2. Vancouver: Faculty of Commerce and Business Administration, University of British Columbia.
101. Wilhelm A (1994). Computing optimal designs by bundle trust methods. Report 314, Institut für Mathematik, Universität Augsburg.
102. Wilhelm A (1995). Subdifferentiability and Lipschitz continuity in optimal design problems. Metrika, forthcoming.
103. Williams RM (1952). Experimental design for serially correlated observations. Biometrika 39 151-167.
104. Wu CFJ, Wynn HP (1978). The convergence of general step-length algorithms for regular optimum design criteria. Annals of Statistics 6 1273-1285.