On finding trend-free block designs

Journal of Statistical Planning and Inference

Volumn 78, Issue 1-2, 1999, Pages 57-70

  Lin, Win Chin ^a   Stufken, John ^a  

^a Department of Statistics Center for Statistics and Applications in Forensic Evidence Iowa State University 2438 Osborn Dr Ames   (United States)

Author keywords

Optimal assignment problem; Search algorithm; Time or spatial trends; Trend free designs

Indexed keywords

EID: 0033130228     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(98)00206-7     Document Type: Article

References (14)

1. Bradley R.A., Odeh R.E. A generating algorithm for linear trend-free and nearly linear trend-free block designs. Commun. Statist. Simulation Comput. 17:1988;1259-1280.
2. Bradley R.A., Yeh C.-M. Trend-free block designs: theory. Ann. Statist. 8:1980;883-893.
3. Chai F.-S., Majumdar D. On the Yeh-Bradley conjecture on linear trend-free block designs. Ann. Statist. 21:1993;2087-2097.
4. Cochran, W.G., Cox, G.M., 1957. Experimental Designs, 2nd Ed. Wiley, New York.
5. Federer W.T., Schlottfeldt C.S. The use of covariance to control gradients in experiments. Biometrics. 10:1954;282-290.
6. Gale, D., 1960. The Theory of Linear Economic Models. McGraw-Hill, New York.
7. Hardy, G.H., Littlewood, J.E., Polya, G., 1952. Inequalities. Cambridge University Press, London.
8. Hedayat A.S., Stufken J., Zhang W.G. Contingently and virtually balanced incomplete block designs and their efficiencies under various optimality criteria. Statist. Sinica. 5:1995;575-591.
9. Kuhn H.W. The Hungarian method for solving the assignment problem. Naval Res. Logist. Quart. 2:1955;83-97.
10. Lin M., Dean A.M. Trend-free block designs for varietal and factorial experiments. Ann. Statist. 19:1991;1582-1596.
11. Lin, W.-C., Stufken, J., 1997. Varietal Trials in the Presence of Trends. Preprint 97-8, Statistical Laboratory, Iowa State University.
12. Stufken J. On the existence of linear trend-free block designs. Commun. Statist. Theory Methods. 17:1988;3857-3863.
13. Yeh C.-M., Bradley R.A. Trend-free block designs: existence and construction results. Commun. Statist. Theory Methods. 12:1983;1-24.
14. Yeh C.-M., Bradley R.A., Notz W.I. Nearly trend-free block designs. J. Amer. Statist. Assoc. 80:1985;985-992.