Author | Gupta, Sudhir. author |
---|---|
Title | A Calculus for Factorial Arrangements [electronic resource] / by Sudhir Gupta, Rahul Mukerjee |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1989 |
Connect to | http://dx.doi.org/10.1007/978-1-4419-8730-3 |
Descript | VI, 126 p. online resource |
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