Crossover designs based on type I orthogonal arrays for a self and simple mixed carryover effects model with correlated errors

• Published in: Journal of statistical planning and inference Vol. 138; no. 7; pp. 2201 - 2213
• Main Authors: Hedayat, A.S., Yan, Zhiwu
• Format: Journal Article
• Language: English
• Published: Lausanne Elsevier B.V 01.07.2008; New York,NY Elsevier Science; Amsterdam
• Subjects: Combinatorics; Combinatorics. Ordered structures; Crossover designs; Designs and configurations; Exact sciences and technology; Experimental design; General topics; Mathematics; Probability and statistics; Sciences and techniques of general use; Self carryover effects; Simple mixed carryover effects; Statistics; Type I orthogonal arrays; Universal optimality; Type I orthogonal arrays; Simple mixed carryover effects; Crossover designs; Self carryover effects; Universal optimality; ARMA model; Error estimation; Moving average; Orthogonal array; Autoregressive moving average processes; Moving average processes; Statistical decision; Mean estimation; Statistical method; Correlation analysis; Experimental design; Mixed model; Autoregressive processes
• ISSN: 0378-3758; 1873-1171
• DOI: 10.1016/j.jspi.2007.09.010

We investigate the performance of crossover designs based on type I orthogonal arrays for a self and simple mixed carryover effects model in the presence of correlated errors. Assuming that between-subject errors are independent while within-subject errors behave according to the stationary first-order autoregressive and moving average processes, analytical optimality results for 3-period designs are established and, as an illustration, numerical details for a number of 4-period cases are tabulated.