On a construction procedure for split-block-plot designs based on the Khatri–Rao product of incidence matrices
References
- Ambroży K., Mejza I. (2002): Some incomplete split-block-plot designs. Scientific Papers of Agriculture University of Poznań, Agriculture 3: 3-12.
- Clatworthy W.H. (1973). Tables of two associate class partially balanced designs. NBS App. Math. Ser. 63, Department of Commerce.
- Cox D.R. (1958): Planning of experiments. Wiley, New York.
- Khatri C.G., Rao C.R. (1968): Solutions to some functional equations and their applications to characterization of probability distributions. Sankya A, 30: 167-180
- Gomez K.A., Gomez A.A. (1984): Statistical procedures for agricultural research. Wiley, New York.
- Houtman A.M., Speed T.P. (1983): Balance in designed experiments with orthogonal block structure. Ann. Statist. 11: 1069-1085.10.1214/aos/1176346322
- John J.A., Williams E.R. (1999): Construction of resolvable designs with nested treatment structure. Biometrical Journal 41(3): 341-349.10.1002/(SICI)1521-4036(199906)41:3<341::AID-BIMJ341>3.0.CO;2-Y
- Mejza I., Ambroży K. (2003): Modelling some experiments carried out in incomplete split-block-plot designs. Proc. of the 18th International Workshop on Statistical Modelling: 293-297.
- Mejza I., Ambroży K. (2004): Supporting techniques for ANOVA of split-block-plot type experiments. W: Sbornik referátů XVI. Letni školy biometriky, Rackova dolina, 21-25. juna 2004: 137-146.
- Mejza I., Ambroży-Deręgowska K., Ozawa K., Mejza S., Kuriki S. (2020): Constructing non-orthogonal split-split-plot designs using some resolvable block designs. Biometrical Letters 57(2): 177-194.10.2478/bile-2020-0012
- Nelder J.A. (1965a): The analysis of randomized experiments with orthogonal block structure. 1. Block structure and the null analysis of variance. Proc. of the Royal Soc. of Lond. Ser. A, 283: 147-162.10.1098/rspa.1965.0012
- Nelder J.A. (1965b): The analysis of randomized experiments with orthogonal block structure. 2. Treatment structure and general analysis of variance. Proc. of the Royal Soc. of Lond. Ser. A, 283: 163-178.10.1098/rspa.1965.0013
- Rao C.R., Mitra S.K. (1971): Generalized inverse of matrices and its applications. Wiley, New York.
Language: English
Page range: 55 - 63
Published on: Jun 30, 2022
Published by: Polish Biometric Society
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:
Related subjects:
© 2022 Katarzyna Ambroży-Deręgowska, Iwona Mejza, published by Polish Biometric Society
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.