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The Hotelling (T^2) statistic is the multivariate extension of t values calculated for univariate data.
Many outlier detection methods are available for univariate data sets (e.g. see Hayes and Kinsella 2003; Thode 2002; Verma 1997; Verma et al. 2014).
Metabolite data was log10-transformed and a mixed-effects ANOVA was conducted for univariate data analysis.
There are downfalls to these recursive procedures: (i) they are designed for univariate data, and if applied to multivariate data, will likely fail to detect statistically influential extreme values, and (ii) they are negatively affected by masking (i.e. the inability to detect an outlier in the presence of another outlier) and swamping (i.e. identify non-outliers as outliers) effects.
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Covers theory and practical methods for the analysis of univariate data sets.
In this paper we develop and implement the RLS method for background estimation of univariate data.
For visual comparison of univariate data we used bean plots as a combination of one-dimensional scatter plots and density plots were generated using the bean plot package for R statistical software [ 17].
Power was calculated in two ways: the first approach was to use Mx, as described, the second, for the univariate data only, was to use Nquery, and the results of these analyses are presented in Table 8. (Note that as the population parameters are equal for each of the outcome variables, the analysis for each of the outcomes will be the same, and only one is presented).
Univariate data for the social behavioral scores, protein expression levels and monoamine contents were analyzed using an unpaired two-tailed t test.
These values were used in the tissue specificity ranking calculations, detailed as follows: Grubbs' outliers test: The Grubbs' test [ 23], also known as the maximum normalized residual test, can be used to test for outliers in a univariate data set.
Multivariate, univariate and multiple univariate data analysis techniques were used for defining regional rural urban interfaces.
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