On the construction of factorial designs using abelian group theory
Rendiconti del Seminario Matematico della Università di Padova, Tome 58 (1977), pp. 195-206. 
@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},
     pages = {195--206},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {58},
     year = {1977},
     mrnumber = {543141},
     zbl = {0407.62053},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_1977__58__195_0/}
}
TY  - JOUR
AU  - Giovagnoli, Alessandra
TI  - On the construction of factorial designs using abelian group theory
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 1977
SP  - 195
EP  - 206
VL  - 58
PB  - Seminario Matematico of the University of Padua
UR  - http://www.numdam.org/item/RSMUP_1977__58__195_0/
LA  - en
ID  - RSMUP_1977__58__195_0
ER  - 
%0 Journal Article
%A Giovagnoli, Alessandra
%T On the construction of factorial designs using abelian group theory
%J Rendiconti del Seminario Matematico della Università di Padova
%D 1977
%P 195-206
%V 58
%I Seminario Matematico of the University of Padua
%U http://www.numdam.org/item/RSMUP_1977__58__195_0/
%G en
%F 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://www.numdam.org/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 | Zbl

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

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

[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 | Zbl

[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 | Zbl

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

[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 | Zbl

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

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

[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 | Zbl