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STATISTICAL ANALYSIS OF PHOSPHORUS ADSORPTION DATA BY USING MULTIVARIATE ANALYSIS OF VARIANCE1

Randy Killorn, G. C. Lewis

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Abstract

This paper presents a statistical procedure, multivariate analysis of variance (MANOVA), that can be used in conjunction with adsorption data. A hypothetical example used to compare MANOVA with simple analysis of variance (ANOVA) shows that, even when ANOVA does not detect significant differences due to treatments, it is possible that MANOVA may because of the multidimensional analysis. Data from an actual field study are analyzed using MANOVA to demonstrate that differences in P adsorption can be due to inherent variability as well as treatments.

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What this paper is about

This paper presents a statistical procedure, multivariate analysis of variance (MANOVA), that can be used in conjunction with adsorption data. A hypothetical example used to compare MANOVA with simple analysis of variance (ANOVA) shows that, even when ANOVA does not detect significant differences due to treatments, it is possible that MANOVA may because of the multidimensional analysis. Data from an actual field study are analyzed using MANOVA to demonstrate that differences in P adsorption can be due to inherent variability as well as treatments.

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Available abstract

This paper presents a statistical procedure, multivariate analysis of variance (MANOVA), that can be used in conjunction with adsorption data. A hypothetical example used to compare MANOVA with simple analysis of variance (ANOVA) shows that, even when ANOVA does not detect significant differences due to treatments, it is possible that MANOVA may because of the multidimensional analysis. Data from an actual field study are analyzed using MANOVA to demonstrate that differences in P adsorption can be due to inherent variability as well as treatments.

Key concepts: Multivariate analysis of variance, Analysis of variance, Multivariate analysis, Statistics, Multivariate statistics, Statistical analysis, Variance (accounting), One-way analysis of variance

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