# On the construction of factorial designs using abelian group theory

Rendiconti del Seminario Matematico della Università di Padova (1977)

- Volume: 58, page 195-206
- ISSN: 0041-8994

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topGiovagnoli, Alessandra. "On the construction of factorial designs using abelian group theory." Rendiconti del Seminario Matematico della Università di Padova 58 (1977): 195-206. <http://eudml.org/doc/107655>.

@article{Giovagnoli1977,

author = {Giovagnoli, Alessandra},

journal = {Rendiconti del Seminario Matematico della Università di Padova},

keywords = {Abelian Group Theory; Construction of Factorial Designs; Duality; Pseudofactors; Modules; Bilinear Forms},

language = {eng},

pages = {195-206},

publisher = {Seminario Matematico of the University of Padua},

title = {On the construction of factorial designs using abelian group theory},

url = {http://eudml.org/doc/107655},

volume = {58},

year = {1977},

}

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

PB - Seminario Matematico of the University of Padua

VL - 58

SP - 195

EP - 206

LA - eng

KW - Abelian Group Theory; Construction of Factorial Designs; Duality; Pseudofactors; Modules; Bilinear Forms

UR - http://eudml.org/doc/107655

ER -

## References

top- [1] R.C. BosE and K. Kishen (1940). On the problem of confounding in symmetrical factorial design, Sankhya, 5 (21-36). Zbl0063.00541MR7967
- [2] R.C. Bose (1947), Mathematical theory of symmetrical factorial designs, Sankhya8 (107-166). Zbl0038.09601MR26781
- [3] D. White and R.A. Hultquist (1965), Construction of confounding plans for mixed factorial designs, Ann. Math. Statist.36 (1256-1271). Zbl0142.16302MR178551
- [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). Zbl0299.62042MR368341
- [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). Zbl0299.62043MR368342
- [6] H.D. Patterson (1976), Generation of factorial designs, J. R. Statist. Soc. B, 38 (175-179). Zbl0328.62049MR438608
- [7] R.A. Bailey, Algebraic duality in factorial designs, (to appear). Zbl05902632
- [8] R.A. Bailey, F.H.L. Gilchrist and H. Patterson, Identification of effects and confounding patterns in factorial designs, (1977) Biometrika64 N° 2, (347-354). Zbl0368.62057MR501643
- [9] S. Lang (1971), Algebra, Addison-Wesley Pub. Co. Zbl0848.13001MR783636
- [10] D. Raghavarao (1971), Construction and combinatorial problems in design of experiments, WileyN. Y. Zbl0222.62036MR365935
- [11] N.L. Johnson and F.C. Leone (1977) 2nd ed., Statistics and experimental design : in engineering and the physical sciences, vol. II, WileyN. Y. Zbl0137.12401MR478420

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