keywords: Crossover design, residual effects, balanced design
Crossover designs are often applied in Clinical trials, Agriculture field experiment, Nutrition experiment, etc. in which there is presence of residual effect of treatment in the current period of treatment application from proceeding period of treatment application. In this paper, we reviewed some methods of construction of complete balanced crossover design for estimation of residual effects given by two authors William and Mausumi for both column and row approach either number of treatment V or N is even and odd the same results were obtained for both.
Andrew WR& Joseph LP 1986. Carryover and two period crossover clinical trials. Journal of the Biometric, 42: 593- 599. Brown BW 1980. The crossover experiment for clinical trials. Biometrics, 36: 69-79. Durso FT 1984. A subroutine for counterbalanced assignment of stimulito conditionally. Behaviour research methods. Instrument and Computers, 1615: 471-472.Grieve AP 1985. A Bayesian analysis of the two period crossover design for clinical trials. Journals of Biometric, 41: 979-981. Grizzle JE 1965. The two period change-over designs and its use in clinical trials. Biometrics, 21: 467-480. Hedayat AS & Min Yang 2003. Universal optimality of balanced uniform crossover designs. The Annals of Statistics, 31: 978-983. Hedayat AS & Min Yang 2004. Universal optimality for selected crossover designs. J. Am. Stat. Assoc., 99: 461-466. Kanchan C 2013. An incomplete block change-over design balanced for first and second-order residual effect. J. Agric. Studies, 1: 59-68. Mausumi B 2002. Crossover designs, analysis and optimality using calculus for factorial arrangement (Applied Statistics Unit Indian Statistical Institute Kolkota, Indian), email@example.com Mausumi B &Aloke D 2013. Development in crossover designs. Indian statistical institute Delhi centre, 7 SJSSMarg, New Delhi-110016, Indian. Mihilesh K &Archana V 2015. Construction of some new optimal cross-over designs of first order. Int. J. Mathcal. Archive, 6(9): 187-192. Williams EJ 1949. Experimental designs balanced for the estimation of residual effect treatment. Australian J. Scientific Res., 2: 149-168. Sharma A, Varghese C, Rao AR, Gupta VK& Pal S 2007. A statistical package for cataloguing and generation of repeated measurement designs. J. Indus. Soc. Agric. Stat., 61(1): 84-90.