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
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