Redundancy analysis an alternative for canonical correlation analysis

Wollenberg, Arnold L. van den

doi:10.1007/bf02294050

Cited by 715 publications

(301 citation statements)

References 3 publications

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“…Redundancy analysis (RDA) [31] is an enhancement of PCA. Ordination axes are not only a linear combination of primary variables, but also a linear combination of further external variables.…”

Section: Data Analysis and Statisticsmentioning

confidence: 99%

Sediment contact tests as a tool for the assessment of sediment quality in German waters

Feiler

Höss

Ahlf

et al. 2012

Enviro Toxic and Chemistry

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Abstract-A sediment contact test (SCT) battery consisting of five ecotoxicological test systems was applied to 21 native freshwater sediments characterized by a broad variety of geochemical properties and anthropogenic contamination. Higher plants (Myriophyllum aquaticum), nematodes (Caenorhabditis elegans), oligochaetes (Lumbriculus variegatus), zebrafish embryos (Danio rerio), and bacteria (Arthrobacter globiformis), representing various trophic levels and exposure pathways, were used as test organisms. The test battery detected sediment toxicity caused by anthropogenic pollution, whereas the various tests provided site-specific, nonredundant information to the overall toxicity assessment. Based on the toxicity pattern derived from the test battery, the sediments were classified according to a newly proposed classification system for sediment toxicity assessment. The SCT-derived classification generally agreed well with the application of consensus-based sediment quality guidelines (SQGs), especially with regard to sediments with high toxic potential. For sediments with low to medium toxic potential, the SQGs often underestimated the toxicity that was detected by the SCTs, underpinning the need for toxicity tests in sediment quality assessment. Environ. Toxicol. Chem. 2013;32:144-155. # 2012 SETAC

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Section: Data Analysis and Statisticsmentioning

confidence: 99%

Sediment contact tests as a tool for the assessment of sediment quality in German waters

Feiler

Höss

Ahlf

et al. 2012

Enviro Toxic and Chemistry

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“…This multiple-causes/multiple-effects model shows that manifest variables can be direct causes of latent variables and vice versa. This model bears a strong resemblance to the analytic models described as "MIMIC" (Joreskog & Goldberger, 1975) and "canonical redundancy" (van den Wollenberg, 1977 The interrelationship of the latent h illustrates direct feedback loops. This type of causal construction (nonintuitively termed "recursive" after the equational form of D) must be causally interpreted as "hi I causes h l 2 and h l 2 causes h l l ."…”

Section: Factor Analysismentioning

confidence: 73%

Causal modeling applied to psychonomic systems simulation

McArdle

1980

Behavior Research Methods & Instrumentation

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Psychometric principles in structural equation model building (e.g., LISREL) are applied to the psychonomic problems in simulating causal systems. A new approach is described (i.e., RAM) that permits the complete and concise description of causal logic by nomographicdiagrammatic representation. Several simple examples based on traditional data-analytic models are causally explicated. Relevant numerical algorithms for multivariable simulation in an on-line environment are described. As an illustration of complete structure-process modeling, a substantive example of "human ability systems" is presented. Finally, a broader view of both practical and theoretical applications is offered.

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“…Analiza redundancji (RDA [Rao 1964;van den Wollenberg 1977]) jest kanoniczną formą analizy składowych głównych i przeprowadzana jest w 2 krokach [Legendre, Legendre 2012]. Krok 1 polega na zbudowaniu wielowymiarowych modeli regresji liniowej Y względem X, tak aby uzyskać macierz wartości teoretycznych:…”

Section: Liniowe Techniki Ordynacyjne I Ich Prezentacja Graficznaunclassified

Visualization of the Linear Ordination Techniques Results Using an Example of the Analysis of Property Crime in Poland

Misztal¹

2017

Prace Naukowe Uniwersytetu Ekonomicznego we Wrocławiu

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Streszczenie: Zaletą liniowych technik ordynacyjnych (analizy głównych składowych -PCA i analizy redundancji -RDA) jest m.in. możliwość prezentacji graficznej uzyskanych wyników w przestrzeni dwuwymiarowej z wykorzystaniem diagramów ordynacyjnych (biplotów i triplotów). W pracy omówiono metody wizualizacji wyników PCA i RDA oraz zwrócono uwagę na rolę metod graficznych przy interpretacji uzyskanych wyników. Ze względu na wykorzystane w przykładzie dane liczbowe, szczegółowym celem pracy jest ocena wpływu wybranych czynników społeczno-ekonomicznych na przestępczość przeciwko mieniu w Polsce oraz ocena przydatności metod wizualizacji w tego typu analizach.Słowa kluczowe: analiza redundancji, analiza głównych składowych, biplot, triplot, przestępczość przeciwko mieniu. Summary:The advantages of linear ordination techniques (principal components analysis − PCA and redundancy analysis − RDA) include, among others, the possibility of graphical presentation of the analysis results in two-dimensional space using ordination plots (biplots and triplots). The paper discusses methods for visualizing the results of PCA and RDA and emphasizes the role of graphical methods for the interpretation of the results. The specific objective of the papaer is to assess the influence of selected socio-economic factors on crime against property in Poland and to evaluate the usefulness of graphical methods in this type of analysis.

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Redundancy analysis an alternative for canonical correlation analysis

Cited by 715 publications

References 3 publications

Sediment contact tests as a tool for the assessment of sediment quality in German waters

Sediment contact tests as a tool for the assessment of sediment quality in German waters

Causal modeling applied to psychonomic systems simulation

Visualization of the Linear Ordination Techniques Results Using an Example of the Analysis of Property Crime in Poland

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