Incomplete split-block designs constructed by affine α-resolvable designs

Bailey R.A., Monod H., Morgan, J.P. (1995): Construction and optimality of affineresolvable designs, Biometrika 82(1): 187-200.10.1093/biomet/82.1.187Search in Google Scholar

Calinski T., Kageyama S. (2003) Block Designs: A Randomization Approach, Volume II: Design, Lecture Notes in Statistics 170, New York, Springer.10.1007/978-1-4419-9246-8Search in Google Scholar

Hering F., Mejza S. (1997): Incomplete split-block designs. Biometrical Journal 39: 227-238.10.1002/bimj.4710390210Search in Google Scholar

Hering F., Mejza S. (2002): An incomplete split-block design generated by GDPBIBD(2)s. Journal of Statistical Planning and Inference 106: 125-134.10.1016/S0378-3758(02)00208-2Search in Google Scholar

Houtman A.M., Speed T.P. (1983): Balance in designed experiments with orthogonal block structure. The Annals of Statistics 11: 1069-1085.10.1214/aos/1176346322Open DOISearch in Google Scholar

Kadowaki S., Kageyama S. (2009): Existence of affine -resolvable PBIB designs with some constructions. Hiroshima Mathematical Journal 39: 293-326.10.32917/hmj/1249046341Search in Google Scholar

Kageyama S. (1973): On μ-resolvable and affine μ-resolvable balanced incomplete block designs. The Annals of Statistics 1: 195-203.10.1214/aos/1193342400Search in Google Scholar

Khatri C.G., Rao C.R. (1968): Solutions to some functional equations and their applications to characterization of probability distributions. Sankhy¯a A 30: 167-180.Search in Google Scholar

Kuriki S., Mejza I., Jimbo M., Mejza S., Ozawa K. (2005): Resolvable semibalanced incomplete split-block designs. Metrika 61: 9-16.10.1007/s001840400320Open DOISearch in Google Scholar

Mejza I. (1987): A note on the analysis of split-block designs. In: Proceedings of the Statistical Data Analysis ’87. Bulgarian Academy of Sciences: 128-132.Search in Google Scholar

Mejza I. (1998): Characterisation of certain split-block designs with a control. Biometrical Journal 40: 627-639.10.1002/(SICI)1521-4036(199809)40:5<627::AID-BIMJ627>3.0.CO;2-#Open DOISearch in Google Scholar

Mejza I., Kuriki S., Mejza S. (2001): Balanced square lattice designs in split-block designs. Colloquium Biometryczne 31: 97-103.Search in Google Scholar

Mejza I., Mejza S., Kuriki S. (2009): Square lattice designs in incomplete splitblock designs. Journal of Statistics and Applications 4: 327-338.Search in Google Scholar

Mejza S. (1992): On some aspects of general balance in designed experiments. Statistica 52: 263-278.Search in Google Scholar

Nelder J.A. (1965a): The analysis of randomized experiments with orthogonal block structure. I. Block structure and the null analysis of variance. Proceedings of the Royal Society. London A 283, 147-162.10.1098/rspa.1965.0012Search in Google Scholar

Nelder J.A. (1965b): The analysis of randomized experiments with orthogonal block structure. II. Treatment structure and the general analysis of variance. Proceedings of the Royal Society. London A 283: 163-178.10.1098/rspa.1965.0013Search in Google Scholar

Ozawa K., Jimbo M., Kageyama S., Mejza S. (2002a): Optimality and constructions of incomplete split-block designs. Journal of Statistical Planning and Inference 106: 135-157.10.1016/S0378-3758(02)00209-4Search in Google Scholar

Ozawa K., Jimbo M., Kageyama S., Mejza S. (2002b): Optimality and efficiency of incomplete split-block designs. Metrika 56: 1-18.10.1007/s001840100150Open DOISearch in Google Scholar

Ozawa K., Kuriki S., Yumiba H. Jimbo M. (2000): Balanced and semi-balanced incomplete split-block designs. Congressus Numerantium 145: 193-201. Search in Google Scholar

Pearce S.C., Calinski T., Marshall T.F. de C. (1974): The basic contrasts of an experimental design with special reference to the analysis of data. Biometrika 61: 449-460.10.1093/biomet/61.3.449Open DOISearch in Google Scholar