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The original log data and static Young's modulus data have different data ranges; therefore, the data were first centered and scaled in the plot using the robust multivariate estimates of location and scatter.
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Whereas some items showed a moderate kurtosis, the analysis used the robust analysis option of EQS, which corrects for multivariate kurtosis [ 21].
Multivariate outliers are usually detected based on robust distance which uses the robust estimate of mean and covariance in the calculation of Mahalanobis Distance [ 17].
In addition, QReg was assessed using robust multivariate location and scale estimates for leverage point detection [ 26].
A linear mixed model was used for a robust multivariate analysis.
Fit of the LF using the multivariate time series model is found more robust and realistic.
In addition to the univariate analyses, we evaluated the alteration in the cortical currents using the decoding method (multivariate analysis).
Due to the complexity of aberrant molecular patterns involved in expression, pathological progression and biological/clinical heterogeneity, the search for novel TNBC biomarkers and therapy targets requires collection of multi-dimensional data sets, use of robust multivariate data analysis techniques and development of innovative systems biology approaches.
Using the fact that the multivariate Laplace distribution is a scale mixture of the multivariate standard normal distribution, an efficient EM algorithm is designed to implement the proposed robust estimation procedure.
All multivariate regression models were estimated using Stata Version 13 (http://www.stata.com/stata13/), employing the "cluster" option (to account for physicians in the sample affiliated with the same practice) and the "robust" standard error option (to account for other potential departures from homoscedasticity by using the Huber-White robust standard error estimator).
We have recently developed a program written in the SAS/IML language that can be used to implement these robust multivariate tests.
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