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The MCD estimator is a highly robust estimator of multivariate location and scale.
The MCD estimators (({hat{mu }}, {hat{mathbf sum}}_mathrm{MCD})) of multivariate location and scatter have breakdown value ({epsilon ^*_n(hat{mu })=epsilon ^*_n({hat{mathbf sum}}_mathrm{MCD})}approx frac{n-h}{2}).
In the multivariate location and scatter setting, the data are stored in an (n times p) data matrix ({mathbf {X}}= (mathbf {x}1,ldots,{mathbf {x}}n)^t) with ({mathbf {x}}i= (x_{i1}, ldots, x_{ip})^t) the ith observation, n stands for the number of objects and p for the number of variables.
An adaptation of Mahalanobis distance, in which the mean vector and covariance matrix are derived from a high-breakdown multivariate location and scale estimator called Deterministic MM-estimator (DetMM) is used to find and discard outlier points prior to estimating the best local tangent plane around any point in a cloud.
In addition, QReg was assessed using robust multivariate location and scale estimates for leverage point detection [ 26].
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In the multivariate analysis, location and APC mutation were removed from the model (due to high p-values), leaving only phenotype in the model.
In the multivariate analysis, location and sex were significantly associated with FIT sensitivity for CRC, but the univariate odds ratio for sex was not substantially affected by the inclusion of location and age in the analysis.
In multivariate analysis, location and sex were found to be associated with FIT sensitivity for CRC (see Table 4 and Additional file 1: Tables S1 and S2 for cut-off values 50 and 100 ng/ml).
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.
Multivariate analysis (job location and TBIC knowledge) revealed that knowledge about TBIC was the strong predictor of good TBIC practice, AOR 10.667 and 95% CI (5.769, 19.721) (Table 3).> -wrap-foot> Note:*Significant association.
In multivariate analyses, age, tumor location and stage had a significant impact on the proportion with 12 or more examined lymph nodes, whereas the MSI status had no significant impact.> -wrap-foot> The MSI status was successfully determined in 613 patients with solitary tumors who survived for >3 months after an R0-resection.
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