Titolo: A Calculus for Factorial Arrangements (Lecture Notes in Statistics, 59)
Editore: Springer
Data di pubblicazione: 1989
Lingua: Inglese
ISBN 10: 0387971726
ISBN 13: 9780387971728
Rilegatura: Brossura
Condizione: New

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Riassunto

Kurkjian and Zelen (1963) gave the analysis of block designs using the calculus and Zelen and Federer (1964) applied it to the analysis of designs with two-way elimination of heterogeneity.

Contenuti

1. Introduction.- 2. A Calculus For Factorial Arrangements.- Elements and operations of the calculus.- Orthogonal factorial structure and balance.- 3. Characterizations For Balance With Orthogonal Factorial Structure.- Algebraic characterizations.- A combinatorial characterization.- A review of construction procedures.- Concluding remarks.- 4. Characterizations For Orthogonal Factorial Structure.- and preliminaries.- Algebraic characterizations: the connected case.- Algebraic characterizations: the disconnected case.- Partial orthogonal factorial structure.- Efficiency consistency.- 5. Constructions I: Factorial Experiments In Cyclic And Generalized Cyclic Designs.- Factorial experiments in cyclic designs.- Generalized cyclic designs.- Single replicate factorials in GC/n designs.- Further results.- Row-column designs.- Designs with partial orthogonal factorial structure.- 6. Constructions II: Designs Based On Kronecker Type Products.- Designs through ordinary Kronecker product.- Componentwise Kronecker product of order q.- Khatri-Rao product of order q.- Non-equireplicate designs.- Designs for multiway heterogeneity elimination.- 7. More On Single Replicate Factorial Designs.- General classical designs.- Bilinear classical designs.- Concluding remarks.- 8. Further Developments.- Deletion designs.- Merging of treatments.- Results on efficiency and admissibility.- Concluding remarks.- 113.- 124.

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