Some results on two-level factorial designs with dependent observations

Journal of Statistical Planning and Inference

Volumn 66, Issue 2, 1998, Pages 363-384

  Martin, R J ^a   Jones, G ^b   Eccleston, J A ^c  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

^b MASSEY UNIVERSITY   (New Zealand)

^c UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Optimal design; Temporal dependence; Two level factorial design

Indexed keywords

EID: 0032011266     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(97)00086-4     Document Type: Article

References (17)

1. Cheng, C.-S., 1990. Construction of run orders of factorial designs. In: Ghosh, S. (Ed.), Statistical Design and Analysis of Industrial Experiments. Dekker, New York, pp. 423-439.
2. Cheng, C.-S., Steinberg, D.M., 1991. Trend robust two-level factorial designs. Biometrika 78, 325-336.
3. Cheng, C.-S., Martin, R.J., Tang, B., 1996. Factorial designs with extreme numbers of level changes, preprint.
4. Constantine, G.M., 1989. Robust designs for serially correlated observations. Biometrika 76, 241-251.
5. Draper, N.R., Stoneman, D.M., 1968. Factor changes and linear trends in eight-run two-level factorial designs. Technometrics 10, 301-311.
6. Gleeson, A.C., Cullis, B.R., 1987. Residual maximum likelihood (REML) estimation of a neighbour model for field experiments. Biometrics 43, 277-287.
7. Martin, R.J., Eccleston, J.A., 1991. Optimal incomplete block designs for general dependence structures. J. Statist. Plann. Inference 28, 67-81.
8. Martin, R.J., Eccleston, J.A., 1993. Incomplete block designs with spatial layouts when observations are dependent. J. Statist. Plann. Inference 35, 77-91.
9. Martin, R.J., Eccleston, J.A., Gleeson, A.C., 1993. Robust linear block designs for a suspected LV model. J. Statist. Plann. Inference 34, 433-450.
10. Martin, R.J., Jones, G., Eccleston, J.A., 1997. Eight-run two-level factorial experiments under dependence, preprint.
11. Monod, H., 1991. Serially balanced factorial sequences. J. Statist. Plann. Inference 27, 325-333.
12. Priestley, M.B., 1981. Spectral Analysis and Time Series. Academic Press, London.
13. Saunders, I.W., Eccleston, J.A., 1992. Experimental design for continuous processes. Austral. J. Statist. 34, 77-89.
14. p factorial experiments on continuous processes. Austral. J. Statist. 37, 353-365.
15. Siddiqui, M.M., 1958. On the inversion of the sample covariance matrix in a stationary autoregressive process. Ann. Math. Statist. 29, 585-588.
16. Steinberg, D.M., 1988. Factorial experiments with time trends. Technometrics 30, 259-269.
17. Williams, E.R., 1985. A criterion for the construction of optimal neighbour designs. J. Roy. Statist. Soc. B 47, 489-497.