Optimal crossover designs under a general model

• Published in: Statistics & probability letters Vol. 62; no. 4; pp. 413 - 418
• Main Authors: Bose, Mausumi, Mukherjee, Bhramar
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.05.2003; Elsevier
• Series: Statistics & Probability Letters
• Subjects: Calculus for factorial arrangements; Carry-over effects of kth order; Combinatorics; Combinatorics. Ordered structures; Designs and configurations; Direct effects; Direct effects Carry-over effects of kth order Interactions Random subject-effect Calculus for factorial arrangements Universal optimality; Exact sciences and technology; Experimental design; Interactions; Mathematics; Probability and statistics; Random subject-effect; Sciences and techniques of general use; Statistics; Universal optimality; Calculus for factorial arrangements; Interactions; Carry-over effects of kth order; Random subject-effect; Direct effects; Universal optimality; Statistical method; Direct effect; Carry-over effect of kth order; Factorial arrangement; Random subject effect; Experimental design; Interaction; Optimal design(statistics); Crossing over
• ISSN: 0167-7152; 1879-2103
• DOI: 10.1016/S0167-7152(03)00050-6

Some assumptions are implicit in the traditional model used for studying the optimality properties of cross-over designs. Many of these assumptions might not be satisfied in experimental situations where these designs are to be applied. In this paper, we modify the model by relaxing these assumptions and show a class of designs to be universally optimal under the modified model.