Optimal Designs for Asymmetric Linear Paired Comparisons with a Profile Strength Constraint

Springer Science and Business Media LLC - Tập 64 Số 1 - Trang 109-119 - 2006
Heiko Großmann1, Heinz Holling1, Ulrike Graßhoff2, Rainer Schwabe2
1Psychologisches Institut IV, Westfälische Wilhelms-Universität Münster, Münster, Germany
2Institut für Mathematische Stochastik, Otto-von-Guericke-Universität Magdeburg, Magdeburg, Germany

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Tài liệu tham khảo

Bradley RA (1976) Science, statistics, and paired comparisons. Biometrics 32:213–232

David HA (1988) The method of paired comparisons, 2nd edn. Charles Griffin, London

Fraenkel L, Bodardus S, Wittink DR (2001) Understanding patient preferences for the treatment of lupus nephritis with adaptive conjoint analysis. Med Care 39:1203–1216

Graßhoff U, Schwabe R (2003) On the analysis of paired observations. Stat Probab Lett 65:7–12

Graßhoff U, Großmann H, Holling H, Schwabe R (2003) Optimal paired comparison designs for first-order interactions. Statistics 37:373–386

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

Green PE, Srinivasan V (1978) Conjoint analysis in consumer research: Issues and outlook. J Consum Res 5:103–123

Großmann H, Holling H, Graßhoff U, Schwabe R (2004) Optimal designs for asymmetric linear paired comparisons with a profile strength constraint. Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik, Preprint Nr. 26/2004

Kiefer J (1959) Optimum experimental designs. J R Stat Soc Ser B 21:272–304

Kiefer J, Wolfowitz J (1960) The equivalence of two extremum problems. Can J Math 12:363–366

Rao CR, Mitra SK (1971) Generalized inverse of matrices and its applications. Wiley, New York

Scheffé H (1952) An analysis of variance for paired comparisons. J Am Stat Assoc 47:381–400

Schwabe R (1996) Optimum designs for multi-factor models. Lecture notes in statistics 113 Springer, Berlin Heidelberg New York

Street DJ, Burgess L (2004) Optimal and near-optimal pairs for the estimation of effects in 2-level choice experiments. J Stat Plan Inference 118:185–199

Street DJ, Bunch DS, Moore BJ (2001) Optimal designs for 2 k paired comparison experiments. Commun Stat Theory Methods 30:2149–2171

van Berkum EEM (1987) Optimal paired comparison designs for factorial and quadratic models. J Stat Plan Inference 15:265–278

van Berkum EEM (1989) Reduction of the number of pairs in paired comparison designs and exact designs for quadratic models. Comput Stat Data Anal 8:93–107