On the construction of factorial designs using abelian group theory

Alessandra Giovagnoli

Rendiconti del Seminario Matematico della Università di Padova (1977)

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

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Giovagnoli, 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

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  1. [1] R.C. BosE and K. Kishen (1940). On the problem of confounding in symmetrical factorial design, Sankhya, 5 (21-36). Zbl0063.00541MR7967
  2. [2] R.C. Bose (1947), Mathematical theory of symmetrical factorial designs, Sankhya8 (107-166). Zbl0038.09601MR26781
  3. [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. [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. [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. [6] H.D. Patterson (1976), Generation of factorial designs, J. R. Statist. Soc. B, 38 (175-179). Zbl0328.62049MR438608
  7. [7] R.A. Bailey, Algebraic duality in factorial designs, (to appear). Zbl05902632
  8. [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. [9] S. Lang (1971), Algebra, Addison-Wesley Pub. Co. Zbl0848.13001MR783636
  10. [10] D. Raghavarao (1971), Construction and combinatorial problems in design of experiments, WileyN. Y. Zbl0222.62036MR365935
  11. [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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