An introduction to multivariate statistical analyses. Part II. The application
Zygmunt Kaczmarek
Instytut Genetyki Roślin, Polskiej Akademii Nauk w Poznaniu, Pracownia Biometrii (Poland)
Dariusz R. Mańkowski
d.mankowski@ihar.edu.plInstytut Hodowli i Aklimatyzacji Roślin — Państwowy Instytut Badawczy w Radzikowie, Pracownia Ekonomiki Nasiennictwa i Hodowli Roślin (Poland)
https://orcid.org/0000-0002-7499-8016
Abstract
While conducting research and analysing experimental data, one often observes and analyses multiple characteristics of certain experimental objects. Often each of these characteristics is analyzed separately. However, to have a complete picture emerging from the research you should use multivariate analysis which allowing a holistic approach to the investigation of the problem. The paper presents a practical example of the calculation methods of multivariate statistical analysis formally described in the first part. In particular, this paper presents the MANOVA analysis and an analysis of contrasts and canonical variables analysis associated with it.
Keywords:
multivariate analysis, multivariate grouping, spring barley, correlation matrix, covariance matrix, MANOVA, multivariate similarity measuresReferences
Anderberg M.R. 1973. Cluster analysis for applications. Academic Press, New York.
Google Scholar
Caliński T. 1970. Wielozmienna analiza wariancji i pokrewne metody wielowymiarowe. PAN, Warszawa.
Google Scholar
Caliński T., Czajka S., Kaczmarek Z. 1975. Analiza składowych głównych i jej zastosowania. Algorytmy biometryczne i statystyczne (ABS-36). AR Poznań.
Google Scholar
Caliński T., Dyczkowski A., Kaczmarek Z. 1976. Testowanie hipotez w wielozmiennej analizie wariancji i kowariancji. Algorytmy biometryczne i statystyczne (ABS-45). AR Poznań.
Google Scholar
Caliński T., Kaczmarek Z. 1973. Metody kompleksowej analizy doświadczenia wielocechowego. Trzecie Colloquium Metodologiczne z Agro-Biometrii, PAN i PTB Warszawa: 257 — 320.
Google Scholar
Ceranka B., Chudzik H., Kaczmarek Z., Krzyśko M. 1975. Wielozmienna analiza wyników doświadczeń w układach blokowych. Algorytmy biometryczne i statystyczne (ABS-35). AR Poznań.
Google Scholar
Crossa J., Franco J. 2004. Statistical methods for classifying genotypes. Euphytica, 137: 19 — 37.
Google Scholar
Daoyu Z., Lawes G. S. 2000. Manova and discriminant analyses of phenotypic data as a guide for parent selection in kiwifruit (Actinidia deliciosa) breeding. Euphytica, 114: 151 — 157.
Google Scholar
Kaczmarek Z. 1975. Wielozmienna analiza kowariancji i jej niektóre zastosowania. Matematyka Stosowana 5: 139 — 156.
Google Scholar
Kaczmarek Z., Czajka S., Adamska E. 2008. Propozycja metody grupowania obiektów jedno- i wielocechowych z zastosowaniem odległości Mahalanobisa i analizy skupień. Biul.IHAR 249: 9 — 18.
Google Scholar
Kaczmarek Z., Mańkowski D. R. 2011. Wprowadzenie do statystycznych analiz wielozmiennych. Część I. Podstawy teoretyczne. Biuletyn IHAR, w druku.
Google Scholar
Kenga R., Tenkouano A., Gupta S. C., Alabi S. O. 2006. Genetic and phenotypic association between yield components in hybrid sorgum (Sorgum bicolor (L.) Moench) populations. Euphytica, 150: 319 — 326.
Google Scholar
Krzyśko M. 2000. Wielowymiarowa analiza statystyczna. Uniwersytet im. A. Mickiewicza w Poznaniu. Poznań.
Google Scholar
Mądry W., Mańkowski D. R., Kaczmarek Z., Krajewski P., Studnicki M. 2010. Metody statystyczne oparte na modelach liniowych w zastosowaniach do doświadczalnictwa, genetyki i hodowli roślin. Monografie i Rozprawy Naukowe IHAR Radzików, nr 34.
Google Scholar
Morrison D. F. 1976. Multivariate statistical methods. McGraw-Hill. New York.
Google Scholar
Nyassé S., Despréaux D., Cilas C. Validity of a leaf inoculation test to assess the resistance to Phytophthora megakarya in a cocoa (Theobroma cacao L.) diallel mating design. Euphytica, 123: 395 — 399.
Google Scholar
SAS Institute Inc. 2009. SAS/STAT 9.2 User’s Guide, Second Edition. Cary, NC, USA: SAS Publishing, SAS Institute Inc.
Google Scholar
Seber G.A.F. 1984. Multivariate observations. Wiley. New York.
Google Scholar
Timm N. H. 2002. Applied multivariate analysis. New York, USA: Springer-Verlag Inc.
Google Scholar
Ukalska J., Mądry W., Ukalski K., Masny A. 2007. Wielowymiarowa ocena różnorodności fenotypowej w kolekcji zasobów genowych truskawki. Cz. II. Grupowanie genotypów. Zesz. Probl. Post. Nauk Rol. 517: 759 — 766.
Google Scholar
Ukalska J., Ukalski K., Śmiałowski T., Mądry W. 2008. Badanie zmienności i współzależności cech użytkowych w kolekcji roboczej pszenicy ozimej (Triticum aestivum L.) za pomocą metod wielowy-miarowych. Cz. II. Analiza składowych głównych na podstawie macierzy korelacji fenotypowych i genotypowych. Biul. IHAR 249: 45 — 57.
Google Scholar
Authors
Zygmunt KaczmarekInstytut Genetyki Roślin, Polskiej Akademii Nauk w Poznaniu, Pracownia Biometrii Poland
Authors
Dariusz R. Mańkowskid.mankowski@ihar.edu.pl
Instytut Hodowli i Aklimatyzacji Roślin — Państwowy Instytut Badawczy w Radzikowie, Pracownia Ekonomiki Nasiennictwa i Hodowli Roślin Poland
https://orcid.org/0000-0002-7499-8016
Statistics
Abstract views: 33PDF downloads: 38
License
Copyright (c) 2011 Zygmunt Kaczmarek, Dariusz R. Mańkowski
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)
- Monika Janaszek-Mańkowska, Dariusz R. Mańkowski, Janusz Kozdój, MLP artificial neural networks in predicting the yield if spring barley , Bulletin of Plant Breeding and Acclimatization Institute: No. 259 (2011): Regular issue
- Tadeusz Adamski, Maria Surma, Zygmunt Kaczmarek, Anetta Kuczyńska, Krzysztof Mikołajczak, Michał Kempa, Piotr Ogrodowicz, Elżbieta Adamska, Renata Trzeciak, Alina Anioła, Renata Holewińska , Studies on the effect of 1B/1R translocations on the efficiency of obtaining wheat DH lines and their technological value , Bulletin of Plant Breeding and Acclimatization Institute: No. 286 (2019): Special issue
- Zygmunt Kaczmarek, Laurencja Szała, Elżbieta Adamska, Teresa Cegielska-Taras, Statistical and genetic evaluation of winter oilseed rape DH lines based on the results of an unreplicated experiment with standards , Bulletin of Plant Breeding and Acclimatization Institute: No. 253 (2009): Regular issue
- Tadeusz Śmiałowski, Anna Cieplicka, Dariusz R. Mańkowski, One and multi-variable characterization of spring barley (Hordeum vulgare L.) cultivars grown in Smolice Plant Breeding and tested in field breeding experiments in 2016 , Bulletin of Plant Breeding and Acclimatization Institute: No. 282 (2017): Regular issue
- Maria Surma, Tadeusz Adamski, Zygmunt Kaczmarek, Paweł Krajewski, Quantitative genetics —review through the century , Bulletin of Plant Breeding and Acclimatization Institute: No. 250 (2008): Regular issue
- Zbigniew Laudański, Dariusz R. Mańkowski, Małgorzata Flaszka, Exploratory factor analysis in studying the structure of multivariate observations , Bulletin of Plant Breeding and Acclimatization Institute: No. 263 (2012): Regular issue
- Karolina Krystkowiak, Tadeusz Adamski, Maria Surma, Zygmunt Kaczmarek, Anetta Kuczyńska, Agata Burtna, Renata Trzeciak, Variability of chosen technological traits of winter wheat hybrids in relation to composition of HMW glutenin subunits in parental forms , Bulletin of Plant Breeding and Acclimatization Institute: No. 260/261 (2011): Regular issue
- Karolina Krystkowiak, Tadeusz Adamski, Maria Surma, Zygmunt Kaczmarek, Anetta Kuczyńska, Variation of wheat cultivars with regard to agronomic traits estimated by uni- and multivariate analysis , Bulletin of Plant Breeding and Acclimatization Institute: No. 253 (2009): Regular issue
- Tadeusz Oleksiak, Dagmara Bronisz, Dariusz R. Mańkowski, Marzena Iwańska, Analysis of yielding stability and wide adaptation degree of selected winter triticale (× Triticosecale Witt.) cultivars based on field production data , Bulletin of Plant Breeding and Acclimatization Institute: No. 282 (2017): Regular issue
- Zygmunt Kaczmarek, Stanisław Czajka, Elżbieta Adamska, A proposed method for grouping uni- and multivariate treatments using Mahalanobis distance and cluster analysis , Bulletin of Plant Breeding and Acclimatization Institute: No. 249 (2008): Regular issue