Some statistical aspects of the planning of non-orthogonal experiments of split-split-plot type
Katarzyna Ambroży-Deręgowska
katarzyna.ambrozy-deregowska@up.poznan.plKatedra Metod Matematycznych i Statystycznych, Uniwersytet Przyrodniczy w Poznaniu (Poland)
Iwona Mejza
Katedra Metod Matematycznych i Statystycznych, Uniwersytet Przyrodniczy w Poznaniu (Poland)
Abstract
The aim of this paper is to present a method of constructing incomplete split-split-plot type designs for non-orthogonal experiments with at least three factors. Many methods of constructing incomplete designs are known from the literature, often drawing on the rich theory of block designs. When choosing one or more such designs to generate, for example, an incomplete split-split-plot design, special attention must be paid, inter alia, to the optimal use of the experimental material. Consideration should also be given to the possibility of using control or standard treatments for one or more factors, and the possibility of planning the experiment so that the treatment contrasts most interesting to the researcher are estimated with the greatest precision (efficiency). In this paper, the above considerations are illustrated with reference to a new incomplete split-split-plot design for an experiment with winter wheat. The statistical consequences of planning an experiment with such a design are described. The statistical analysis uses techniques appropriate to multi-stratum experiments, as well as the theory of basic contrasts.
Keywords:
design efficiency, non-orthogonal experiment, partially balanced block design, split-split-plot designReferences
Ambroży K., Mejza I. 2006. Doświadczenia trójczynnikowe z krzyżową i zagnieżdżoną strukturą poziomów czynników. Wyd. PTB i PRODRUK, Poznań.
Google Scholar
Ambroży K., Mejza I. 2012. Modelowanie danych z doświadczeń trójczynnikowych zakładanych w układach zależnych o różnych strukturach blokowych. Biul. IHAR 264: 23 — 31.
Google Scholar
Ambroży K., Mejza I. 2013. A method of constructing incomplete split — split — plot designs supplemented by whole plot and subplot standards and their analysis. Colloquium Biometricum, 43: 59 — 72.
Google Scholar
Caliński, T., Kageyama, S. 2000. Block Designs. A Randomization Approach, Volume I. Analysis. Lecture Notes in Statistics 150, Springer-Verlag, New York.
Google Scholar
Clatworthy W. H. 1973. Tables of two associate classes partially balanced designs. NBS App. Math. Ser. 63, Department of Commerce.
Google Scholar
Nelder J. A. 1965. The analysis of randomized experiments with orthogonal block structure. Proc. of the Royal Society of London, Ser. A, 283: 147 — 178.
Google Scholar
Nigam A. K., Puri P. D. 1982. On partially efficiency balanced designsII. Commun. Statist.- Theor. Meth. 11 (24): 2817 — 2830.
Google Scholar
Pearce S.,C., Caliński T., Marshall T. F. de C. 1974. The basic contrasts of an experimental design with special reference to the analysis of data. Biometrika 54: 449 — 460.
Google Scholar
Authors
Katarzyna Ambroży-Deręgowskakatarzyna.ambrozy-deregowska@up.poznan.pl
Katedra Metod Matematycznych i Statystycznych, Uniwersytet Przyrodniczy w Poznaniu Poland
Authors
Iwona MejzaKatedra Metod Matematycznych i Statystycznych, Uniwersytet Przyrodniczy w Poznaniu Poland
Statistics
Abstract views: 30PDF downloads: 28
License
Copyright (c) 2014 Katarzyna Ambroży-Deręgowska, Iwona Mejza
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Upon submitting the article, the Authors grant the Publisher a non-exclusive and free license to use the article for an indefinite period of time throughout the world in the following fields of use:
- Production and reproduction of copies of the article using a specific technique, including printing and digital technology.
- Placing on the market, lending or renting the original or copies of the article.
- Public performance, exhibition, display, reproduction, broadcasting and re-broadcasting, as well as making the article publicly available in such a way that everyone can access it at a place and time of their choice.
- Including the article in a collective work.
- Uploading an article in electronic form to electronic platforms or otherwise introducing an article in electronic form to the Internet or other network.
- Dissemination of the article in electronic form on the Internet or other network, in collective work as well as independently.
- Making the article available in an electronic version in such a way that everyone can access it at a place and time of their choice, in particular via the Internet.
Authors by sending a request for publication:
- They consent to the publication of the article in the journal,
- They agree to give the publication a DOI (Digital Object Identifier),
- They undertake to comply with the publishing house's code of ethics in accordance with the guidelines of the Committee on Publication Ethics (COPE), (http://ihar.edu.pl/biblioteka_i_wydawnictwa.php),
- They consent to the articles being made available in electronic form under the CC BY-SA 4.0 license, in open access,
- They agree to send article metadata to commercial and non-commercial journal indexing databases.
Most read articles by the same author(s)
- Katarzyna Ambroży, Iwona Mejza, Data analysis with crossed and nested treatment structures based on example of experiment with lupine , Bulletin of Plant Breeding and Acclimatization Institute: No. 251 (2009): Regular issue
- Katarzyna Ambroży, Iwona Mejza, Modeling data from three-factor experiments with split units set up in designs with different block structures , Bulletin of Plant Breeding and Acclimatization Institute: No. 264 (2012): Regular issue
- Katarzyna Ambroży-Deręgowska, Iwona Mejza, Split-split-plot design for a non-orthogonal experiment with lupine , Bulletin of Plant Breeding and Acclimatization Institute: No. 278 (2015): Regular issue
- Katarzyna Ambroży-Deręgowska, Tadeusz Łuczkiewicz, Katarzyna Marczyńska, Iwona Mejza, Stanisław Mejza, Comparison of methods for selection of spring barley genotypes based on non-replicated experiments , Bulletin of Plant Breeding and Acclimatization Institute: No. 274 (2014): Regular issue
Similar Articles
- Wioletta Dróżdż, Hanna Boruczkowska, Tomasz Boruczkowski, Ewa Tomaszewska-Ciosk, Maciej Bienkiewicz, Chosen properties of extruded preparations obtained from potato pulp , Bulletin of Plant Breeding and Acclimatization Institute: No. 266 (2012): Regular issue
- Anna Pęksa, Elżbieta Rytel, Agnieszka Tajner-Czopek, Agnieszka Kita, Maria Pytlarz-Kozicka, Joanna Miedzianka, The comparison of amino acid composition of the protein in preparations obtained from potato tubers cultivated within ecological and conventional systems , Bulletin of Plant Breeding and Acclimatization Institute: No. 266 (2012): Regular issue
- Grażyna Lewandowicz, Przemysław Kowalczewski, Wojciech Białas, Anna Olejnik, Joanna Rychlik, Separation of the fractions of potato juice of different molecular weight and characterization of their biological activities , Bulletin of Plant Breeding and Acclimatization Institute: No. 266 (2012): Regular issue
- Andrzej Latusek, Henryk Bujak, Evaluation of yield stability of winter oilseed rape cultivars on the basis of post-registration variety testing system in diversified soils and climatic conditions in Lower Silesia , Bulletin of Plant Breeding and Acclimatization Institute: No. 265 (2012): Regular issue
- Stanisław Kalembasa, Barbara Symanowicz, Dawid Jaremko, Wojciech Skorupka, The influence of phosphorus and potassium fertilization on the content of iron, molybdenum, copper in goat’s rue (Galega orientalis Lam.) biomass and in soil as well as on the nitrogen uptake , Bulletin of Plant Breeding and Acclimatization Institute: No. 265 (2012): Regular issue
- Aneta Kramek, Krystyna Szwed-Urbaś, Zbigniew Segit, The estimation of variability and correlation of quantitative traits in spring durum wheat collection of Afghan origin , Bulletin of Plant Breeding and Acclimatization Institute: No. 264 (2012): Regular issue
- Jadwiga Nadziak, Anna Tratwal, Usefulness of winter wheat varieties for cultivation in mixtures , Bulletin of Plant Breeding and Acclimatization Institute: No. 264 (2012): Regular issue
- Jan Bocianowski, Tadeusz Łuczkiewicz, Piotr Szulc, Effect of eight quantitative traits of spring rape (Brassica napus ssp. oleifera) on seed weight per plant , Bulletin of Plant Breeding and Acclimatization Institute: No. 264 (2012): Regular issue
- Tadeusz Łuczkiewicz, Jan Bocianowski, Jerzy Nawracała, Effect of quantitative traits heterosis in winter rape (Brassica napus L.) hybrids between zero-erucic inbred lines crossed with the variety Californium , Bulletin of Plant Breeding and Acclimatization Institute: No. 264 (2012): Regular issue
- Irena Kolasińska, Diversity in fertility restoration among male sterile rye lines with Pampa cytoplasm , Bulletin of Plant Breeding and Acclimatization Institute: No. 264 (2012): Regular issue
<< < 14 15 16 17 18 19 20 21 22 23 24 > >>
You may also start an advanced similarity search for this article.
