Optimal design for the Bradley-Terry paired comparison model

Statistical Methods and Applications

Volumn 17, Issue 3, 2008, Pages 275-289

  Graßhoff, Ulrike ^a   Schwabe, Rainer ^a  

^a OTTO VON GUERICKE UNIVERSITY   (Germany)

Author keywords

Bradley Terry model; D optimal design; Logistic model; Maximin efficient design; Optimal design; Paired comparison

Indexed keywords

EID: 47249132102     PISSN: 16182510     EISSN: 1613981X     Source Type: Journal    
DOI: 10.1007/s10260-007-0058-4     Document Type: Article

References (24)

1. Atkinson AC, Haines LM (1996) Designs for nonlinear and generalized linear models. In: Ghosh S, Rao CR (eds) Design and analysis of experiments. Handbook of statistics, vol 13. North-Holland, Amsterdam, pp 437-475
2. van Berkum EEM (1987) Optimal paired comparison designs for factorial experiments, CWI Tract 31. Centrum for Wiskunde en Informatica, Amsterdam
3. Bradley RA, Terry ME (1952) Rank analysis of incomplete block designs, I. The method of paired comparisons. Biometrika 39:324-345
4. Burgess L, Street DJ (2005) Optimal designs for choice experiments with asymmetric attributes. J Stat Plan Inference 134:288-301
5. Dette H (1997) Designing experiments with respect to 'standardized' optimality criteria. J R Stat Soc Series B 59:97-110
6. Graßhoff U, Schwabe R (2006) Optimal designs for the Bradley-Terry paired comparison model. Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik Preprint Nr. 16:2006
7. Graßhoff U, Großmann H, Holling H, Schwabe R (2004) Optimal designs for main effects in linear paired comparison models. J Stat Plan Inference 126:361-376
8. Graßhoff U, Großmann H, Holling H, Schwabe R (2005) Design optimality in multi-factor generalized linear models in the presence of an unrestricted quantitative factor, Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik. Preprint Nr. 38:2005
9. Green P (1974) On the design of choice experiments involving multifactor alternatives. J Consum Res 1:61-68
10. Großmann H, Holling H, Graßhoff U, Schwabe R (2005) On the empirical relevance of optimal designs for the measurement of preferences. In: Berger MPF, Wong WK (eds) Applied optimal designs. Wiley, Chichester, pp 45-65
11. Kanninen B (2002) Optimal design for multinomial choice experiments. J Mark Res 39:214-227
12. Kiefer J, Wolfowitz J (1959) Optimum designs in regression problems, II. Ann Math Stat 32:271-294
13. Louviere JJ, Hensher DA, Swait JD (2000) Stated choice methods. Cambridge University Press, Cambridge
14. Luce D (1959) Individual choice behavior. Wiley, New York
15. McCullagh P, Nelder JA (1989) Generalized linear models, 2nd edn. Chapman & Hall, London
16. McFadden D (1974) Conditional logit analysis of qualitative choice behavior. In: Zarembka P (ed) Frontiers in econometrics. Academic, New York, pp 105-142
17. Müller CH, Pázman A (1998) Applications of necessary and sufficient conditions for maximin efficient designs. Metrika 48:1-19
18. Pukelsheim F (1993) Optimal Design of Experiments. (Wiley, New York 1993)
19. Schwabe R (1996) Optimum designs for multi-factor models. Springer, New York
20. Schwabe R, Graßhoff U, Großmann H, Holling H (2005) Utility balance and design optimality in logistic models with one unrestricted quantitative factor. In: Ermakov SM, Melas VB, Pepelyshev AN (eds) Proceedings of the 5th St. Petersburg workshop on simulation. St. Petersburg, pp 605-610
21. Silvapulle MJ (1981) On the existence of maximum likelihood estimators for the binomial response models. J R Stat Soc Series 43:310-313
22. Silvey D (1980) Optimal design. Chapman & Hall, London
23. Sitter RR, Torsney B (1995) D-optimal designs for generalized linear models. In: Kitsos CP, Müller WG (eds) MODA 4-advances in model-oriented data analysis physica. Heidelberg, pp 87-102
24. Train KE (2003) Discrete choice methods with simulation. Cambridge University Press, Cambridge