Abstract
A canonical variance analysis (CVA) biplot can visually portray a oneway MANOVA. Both techniques are subject to the assumption of equal class covariance matrices. In the application considered, very small sample sizes resulted in some singular class covariance matrix estimates and furthermore it seemed unlikely that the assumption of homogeneity of covariance matrices would hold. Analysis of distance (AOD) is employed as nonparametric inference tool. In particular, AOD biplots are introduced for a visual display of samples and variables, analogous to the CVA biplot.
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BOYCOTT, R.C. and BOURQUIN, O. (2000): The Southern African Tortoise Book: A Guide to Southern African Tortoises, Terrapins and Turtles. Privately published, Hilton, South Africa.
BRANCH, W.R. (1998): Field Guide to the Snakes and Other Reptiles of Southern Africa. 3rd ed. Struik Publishers, Cape Town, South Africa.
FLURY, B. (1997): A first course in multivariate statistics. Springer, New York.
GABRIEL, K.R. (1971): The biplot graphical display of matrices with application to principal component analysis. Biometrika, 58, 453467.
GARDNER, S (2001): Extensions of biplot methodology to discriminant analysis with applications of non-parametric principal components. Unpublished PhD thesis, Stellenbosch University, South Africa.
GERMANO, D.J. (1993): Shell morphology of North American tortoises. The American Midland Naturalist, 129, 319335.
GOOD, P. (2000): Permutation tests. 2nd ed. Springer, New York.
GOWER, J.C. and HAND, D.J. (1996): Biplots. Chapman and Hall, London.
GOWER, J.C. and HARDING, D.J. (1988): Nonlinear biplots. Biometrika, 75, 445455.
GOWER, J.C. and KRZANOWSKI, W.J. (1999): Analysis of distance for structured multivariate data and extensions to multivariate analysis of variance. Applied Statistics, 48, 505519.
VARHOL, R. (1998): The molecular systematics of Southern African testudinidae. Unpublished MSc thesis, University of Cape Town, South Africa.
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© 2006 Springer-Verlag Berlin · Heidelberg
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Gardner, S., le Roux, N.J. (2006). Sub-species of Homopus Areolatus? Biplots and Small Class Inference with Analysis of Distance. In: Batagelj, V., Bock, HH., Ferligoj, A., Žiberna, A. (eds) Data Science and Classification. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-34416-0_24
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DOI: https://doi.org/10.1007/3-540-34416-0_24
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