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. Language: English