15 Spatial experimental design

Handbook of Statistics

Volumn 13, Issue , 1996, Pages 477-514

  Martin, R J ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007295146     PISSN: 01697161     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0169-7161(96)13017-0     Document Type: Review

References (98)

1. Afsarinejad K., and Seeger P. Nearest neighbour designs. In: Dodge Y., Fedorov V.V., and Wynn H.P. (Eds). Optimal Design and Analysis of Experiments (1988), North-Holland, Heidelberg 99-113
2. Azaïs J.M., Bailey R.A., and Monod H. A catalogue of efficient neighbour-designs with border plots. Biometrics 49 (1993) 1252-1261
3. Azaïs J.M., Denis J.-B., Horne T.D., and Kobilinsky A. Neighbour analysis of plot experiments: A review of the different approaches. Biom. Prax. 30 (1990) 15-39
4. Bagchi S., Mukhopadhay A.C., and Sinha B.K. A search for optimal nested row-column designs. Sankhyā Ser. B 52 (1990) 93-104
5. Bailey R.A. Quasi-complete Latin squares: Construction and randomization. J. Roy. Statist. Soc. Ser. B 46 (1984) 323-334
6. Bailey R.A. Randomization, constrained. In: Kotz S., and Johnson N.L. (Eds). Encyclopedia of Statistical Sciences Vol. 7 (1986), Wiley, Amsterdam 524-530
7. Bailey R.A. Restricted randomization: A practical example. J. Amer. Statist. Assoc. 82 (1987) 712-719
8. Bailey R.A., Kunert J., and Martin R.J. Some comments on gerechte designs. I. Analysis for uncorrelated errors. J. Agron. Crop Sci. 165 (1990) 121-130
9. Bailey R.A., Kunert J., and Martin R.J. Some comments on gerechte designs. II. Randomization analysis, and other methods that allow for inter-plot dependence. J. Agron. Crop Sci. 166 (1991) 101-111
10. Bailey R.A., and Rowley C.A. Valid randomization. Proc. Roy. Soc. Lond. Ser. A 410 (1987) 105-124
11. Bartlett M.S. Nearest neighbour models in the analysis of field experiments (with discussion). J. Roy. Statist. Soc. Ser. B 40 (1978) 147-174
12. Becher H. On optimal experimental design under spatial correlation structures for square and nonsquare plot designs. Comm. Statist. Simulation Comput. 17 (1988) 771-780
13. Besag J., Green P., Higdon D., Kooperberg C., and Mengersen K. Spatial statistics, image analysis and Bayesian inference (with discussion). Statist. Sci. 10 (1995) 3-66
14. Besag J., and Higdon D. Bayesian inference for agricultural field experiments. Bull. Int. Statist. Inst. 55 1 (1993) 121-137
15. Besag J., and Kempton R. Statistical analysis of field experiments using neighbouring plots. Biometrics 42 (1986) 231-251
16. Bradley R.A., and Yeh C.-M. Trend-free block designs. In: Kotz S., and Johnson N.L. (Eds). Encyclopedia of Statistical Sciences Vol. 9 (1988), Wiley, New York 324-328
17. Butcher J.C. Treatment variances for experimental designs with serially correlated observations. Biometrika 43 (1956) 208-212
18. Cheng C.-S. An optimization problem with applications to optimal design theory. Ann. Statist. 15 (1987) 712-723
19. Cheng C.-S. A note on the optimality of semibalanced arrays. In: Dodge Y., Fedorov V.V., and Wynn H.P. (Eds). Optimal Design and Analysis of Experiments (1988), North-Holland, New York 115-122
20. Cheng C.-S., and Steinberg D.M. Trend robust two-level factorial designs. Biometrika 78 (1991) 325-336
21. Cochran W.G. Early development of techniques in comparative experimentation. In: Owen D.B. (Ed). On the History of Statistics and Probability (1976), Dekker, Amsterdam 1-26
22. Correll R.L., and Anderson R.B. Removal of intervarietal competition effects in forestry varietal trials. Silvae Genetica 32 (1983) 162-165
23. Cox D.R. Some systematic experimental designs. Biometrika 38 (1951) 312-323
24. Cox D.R. Some recent work on systematic experimental designs. J. Roy. Statist. Soc. Ser. B 14 (1952) 211-219
25. Discussion 317-318. Cox G.M. A survey of types of experimental designs. Biometrics 6 (1950) 305-306
26. Cressie N.A.C. Statistics for Spatial Data (1991), Wiley, New York
27. Cullis B.R., and Gleeson A.C. Spatial analysis of field experiments - an extension to two dimensions. Biometrics 47 (1991) 1449-1460
28. Cullis B.R., Lill W.J., Fisher J.A., Read B.J., and Gleeson A.C. A new procedure for the analysis of early generation variety trials. Appl. Statist. 38 (1989) 361-375
29. (and 37 (1993), 393-412). Cutler D.R. Efficient block designs for comparing test treatments to a control when the errors are correlated. J. Statist. Plann. Inference 36 (1993) 107-125
30. Dagnelie P. La méthode de Papadakis en expérimentation agronomique: Considérations historiques et bibliographiques. Biom. Prax. 27 (1987) 49-64
31. Dyke G.V., and Shelley C.F. Serial designs balanced for effects of neighbours on both sides. J. Agric. Sci. 87 (1976) 303-305
32. Edmondson R.N. Systematic row-and-column designs balanced for low order polynomial interactions between rows and columns. J. Roy. Statist. Soc. Ser. B 55 (1993) 707-723
33. Federer W.T. Experimental Design - Theory and Applications (1955), Macmillan, New York
34. Federer W.T., and Schlottfeldt C.S. The use of covariance to control gradients in experiments. Biometrics 10 (1954) 282-290
35. Fedorov V.V. Design of spatial experiments. In: Ghosh S., and Rao C.R. (Eds). Handbook of Statistics, Vol. 13, Design and Analysis of Experiments (1996), North-Holland, New York 515-553
36. Fisher R.A. Statistical Methods for Research Workers. 4th edn. (1932), Oliver and Boyd, Amsterdam
37. Fisher R.A. Statistical Methods for Research Workers. 11th edn. (1950), Oliver and Boyd, Edinburgh
38. Fisher R.A., and Yates F. Statistical Tables for Biological, Agricultural and Medical Research. 6th edn. (1963), Oliver and Boyd, Edinburgh
39. Freeman G.H. Complete Latin squares and related experimental designs. J. Roy. Statist. Soc. Ser. B 41 (1979) 253-262
40. Freeman G.H. Further results on quasi-complete Latin squares. J. Roy. Statist. Soc. Ser. B 43 (1981) 314-320
41. Freeman G.H. Systematic designs. In: Kotz S., and Johnson N.L. (Eds). Encyclopedia of Statistical Sciences Vol. 8 (1988), Wiley, Edinburgh 143-147
42. Gill P.S. A bibliography of nearest neighbour methods in design and analysis. Biom. J. 4 (1991) 455-459
43. Gleeson A.C., and Cullis B.R. Residual maximum likelihood (REML) estimation of a neighbour model for field experiments. Biometrics 43 (1987) 277-287
44. Hell P., and Rosa A. Graph decomposition, handcuffed prisoners and balanced P-designs. Discrete Math. 2 (1972) 229-252
45. Ipinyomi R.A. Equineighboured experimental designs. Austral. J. Statist. 28 (1986) 79-88
46. Kempthorne O. Randomization-II. In: Kotz S., and Johnson N.L. (Eds). Encyclopedia of Statistical Sciences Vol. 7 (1986), Wiley, New York 519-524
47. Kiefer J. Optimum experimental designs, V, with applications to systematic and rotatable designs. In: Neyman J. (Ed). Proc. 4th Berkeley Symposium Vol. 1 (1961), Univ. of California Press, New York 381-405
48. Kiefer J. Construction and optimality of generalized Youden designs. In: Srivastava J.N. (Ed). A Survey of Statistical Design and Linear Models (1975), North-Holland, Berkeley, CA 333-353
49. Kiefer J., and Wynn H.P. Optimum balanced block and Latin square designs for correlated observations. Ann. Statist. 9 (1981) 737-757
50. Kiefer J., and Wynn H.P. Optimum and minimax exact treatment designs for one-dimensional autoregressive processes. Ann. Statist. 12 (1984) 431-450
51. Kunert J. Optimal repeated measurements designs for correlated observations and analysis by weighted least squares. Biometrika 72 (1985) 375-389
52. Kunert J. Neighbour balanced block designs for correlated errors. Biometrika 74 (1987) 717-724
53. Kunert J. Recent results on optimal designs for correlated observations. Arbeitsberichte (1987), Universität Trier, Amsterdam
54. Kunert J. Considerations on optimal design for correlations in the plane. In: Dodge Y., Fedorov V.V., and Wynn H.P. (Eds). Optimal Design and Analysis of Experiments (1988), North-Holland 123-131
55. Kunert J., and Martin R.J. Some results on optimal design under a first-order autoregression and on finite Williams' type II designs. Comm. Statist. Theory Methods 16 (1987) 1901-1922
56. Kunert J., and Martin R.J. On the optimality of finite Williams II(a) designs. Ann. Statist. 15 (1987) 1604-1628
57. Lin M., and Dean A.M. Trend-free block designs for varietal and factorial experiments. Ann. Statist. 19 (1991) 1582-1596
58. Martin R.J. Some aspects of experimental design and analysis when errors are correlated. Biometrika 69 (1982) 597-612
59. Martin R.J. Papadakis method. In: Kotz S., and Johnson N.L. (Eds). Encyclopedia of Statistical Sciences Vol. 6 (1985), Wiley, Amsterdam 564-568
60. Martin R.J. On the design of experiments under spatial correlation. Biometrika 73 (1986) 247-277
61. Correction. Biometrika 75 (1988) 396
62. p-value when errors are correlated. Comput. Statist. Data Anal. 9 (1990) 113-121
63. Martin R.J. The use of time series models and methods in the analysis of agricultural field trials. Comm. Statist. Theory Methods 19 (1990) 55-81
64. to appear. Martin R.J. Low-order spatially distinct Latin squares. Comm. Statist. Theory Methods (1996)
65. Preprint. Martin R.J. Optimal small-sized block designs under dependence (1996)
66. Martin R.J., and Eccleston J.A. Optimal incomplete block designs for general dependence structures. J. Statist. Plann. Inference 28 (1991) 67-81
67. Martin R.J., and Eccleston J.A. Incomplete block designs with spatial layouts when observations are dependent. J. Statist. Plann. Inference 35 (1993) 77-91
68. Preprint. Martin R.J., and Eccleston J.A. Construction of optimal and near-optimal designs for dependent observations using simulated annealing (1996)
69. Martin R.J., Eccleston J.A., and Gleeson A.C. Robust designs when observations within a block are correlated. J. Statist. Plann. Inference 34 (1993) 433-450
70. Preprint. Martin R.J., Eccleston J.A., and Jones G. Some results on multi-level factorial designs with dependent observations (1995)
71. Morgan J.P. Terrace constructions for bordered, two-dimensional neighbor designs. Ars Combinatoria 26 (1988) 123-140
72. Morgan J.P. Balanced polycross designs. J. Roy. Statist. Soc. Ser. B 50 (1988) 93-104
73. Morgan J.P., and Chakravarti I.M. Block designs for first and second order neighbor correlations. Ann. Statist. 16 (1988) 1206-1224
74. Morgan J.P., and Uddin N. Two-dimensional design for correlated errors. Ann. Statist. 19 (1991) 2160-2182
75. Morris M.D., and Mitchell T.J. Exploratory designs for computational experiments. J. Statist. Plann. Inference 43 (1995) 381-402
76. Nair C.R. Sequences balanced for pairs of residual effects. J. Amer. Statist. Assoc. 62 (1967) 205-225
77. Pearce S.C. The Agricultural Field Experiment (1983), Wiley, New York
78. Pearson E.S. "Student" as statistician. Biometrika 30 (1938) 210-250
79. Pithuncharurnlap M., Basford K.E., and Federer W.T. Neighbour analysis with adjustment for interplot competition. Austral. J. Statist. 35 (1993) 263-270
80. Rao C.R. Combinatorial arrangements analogous to orthogonal arrays. Sankhyā A 23 (1961) 283-286
81. Reddy M.N., and Chetty C.K.R. Effect of plot shape on variability in Smith's variance law. Experimental Agriculture 18 (1982) 333-338
82. Russell K.G., and Eccleston J. The construction of optimal balanced incomplete block designs when adjacent observations are correlated. Austral. J. Statist. 29 (1987) 84-90
83. Russell K.G., and Eccleston J. The construction of optimal incomplete block designs when observations within a block are correlated. Austral. J. Statist. 29 (1987) 293-302
84. p factorial experiments on continuous processes. Austral. J. Statist. 37 (1995) 353-365
85. Shah K.R., and Sinha B.K. Theory of Optimal Designs (1989), Springer, Chichester
86. Steinberg D.M. Factorial experiments with time trends. Technometrics 30 (1988) 259-269
87. Street A.P., and Street D.J. Combinatorics of Experimental Design (1987), Clarendon Press, New York
88. Street D.J. A note on strongly equineighboured designs. J. Statist. Plan. Inference 30 (1992) 99-105
89. Street D.J. Block and other designs used in agriculture. In: Ghosh S., and Rao C.R. (Eds). Design and Analysis of Experiments. Handbook of Statistics Vol. 13 (1996), North-Holland, Oxford 759-808
90. Taplin R., and Raftery A.E. Analysis of agricultural field trials in the presence of outliers and fertility jumps. Biometrics 50 (1994) 764-781
91. Uddin N., and Morgan J.P. Optimal and near optimal sets of Latin squares for correlated errors. J. Statist. Plann. Inference 29 (1991) 279-290
92. Preprint. Uddin N., and Morgan J.P. Universally optimal two-dimensional block designs for correlated observations (1996)
93. Wild P.R., and Williams E.R. The construction of neighbour designs. Biometrika 74 (1987) 871-876
94. Wilkinson G.N., Eckert S.R., Hancock T.W., and Mayo O. Nearest neighbour (NN) analysis of field experiments (with discussion). J. Roy. Statist. Soc. Ser. B 45 (1983) 151-211
95. Williams R.M. Experimental designs for serially correlated observations. Biometrika 39 (1952) 151-167
96. Yates F. Contribution to the discussion of a paper by F.J. Anscombe. J. Roy. Statist. Soc. Ser. A 111 (1948) 204-205
97. Yates F. A fresh look at the basic principles of the design and analysis of experiments. In: Le Cam L.M., and Neyman J. (Eds). Proc. 5th Berkeley Symposium Vol. 4 (1967), Univ. of California Press, Amsterdam 777-790
98. Zimmerman D.L., and Harville D.A. A random field approach to the analysis of field-plot experiments and other spatial experiments. Biometrics 47 (1991) 223-239