On the construction of factorial designs using abelian group theory
Giovagnoli, Alessandra
Rendiconti del Seminario Matematico della Università di Padova, Tome 58 (1977), p. 195-206 / Harvested from Numdam
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Publié le : 1977-01-01
@article{RSMUP_1977__58__195_0,
     author = {Giovagnoli, Alessandra},
     title = {On the construction of factorial designs using abelian group theory},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {58},
     year = {1977},
     pages = {195-206},
     mrnumber = {543141},
     zbl = {0407.62053},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1977__58__195_0}
}

Giovagnoli, Alessandra. On the construction of factorial designs using abelian group theory. Rendiconti del Seminario Matematico della Università di Padova, Tome 58 (1977) pp. 195-206. http://gdmltest.u-ga.fr/item/RSMUP_1977__58__195_0/

[1] R.C. Bose and K. Kishen (1940). On the problem of confounding in symmetrical factorial design, Sankhya, 5 (21-36). | MR 7967 | Zbl 0063.00541

[2] R.C. Bose (1947), Mathematical theory of symmetrical factorial designs, Sankhya 8 (107-166). | MR 26781 | Zbl 0038.09601

[3] D. White and R.A. Hultquist (1965), Construction of confounding plans for mixed factorial designs, Ann. Math. Statist. 36 (1256-1271). | MR 178551 | Zbl 0142.16302

[4] J.A. John and A.M. Dean (1975), Single replicate factorial experiments in generalized cyclic designs: I Symmetrical arrangements, J. R. Statist. Soc. B, 37 (63-71). | MR 368341 | Zbl 0299.62042

[5] A.M. Dean and J.A. John (1975), Single replicate factorial experiments in generalized cyclic designs: II Asymmetrical arrangements, J. R. Statist. Soc. B, 37 (72-76). | MR 368342 | Zbl 0299.62043

[6] H.D. Patterson (1976), Generation of factorial designs, J. R. Statist. Soc. B, 38 (175-179). | MR 438608 | Zbl 0328.62049

[7] R.A. Bailey, Algebraic duality in factorial designs, (to appear).

[8] R.A. Bailey, F.H.L. Gilchrist and H. Patterson, Identification of effects and confounding patterns in factorial designs, (1977) Biometrika 64 N° 2, (347-354). | MR 501643 | Zbl 0368.62057

[9] S. Lang (1971), Algebra, Addison-Wesley Pub. Co. | MR 783636 | Zbl 0848.13001

[10] D. Raghavarao (1971), Construction and combinatorial problems in design of experiments, Wiley N. Y. | MR 365935 | Zbl 0222.62036

[11] N.L. Johnson and F.C. Leone (1977) 2nd ed., Statistics and experimental design : in engineering and the physical sciences, vol. II, Wiley N. Y. | MR 478420 | Zbl 0137.12401