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We develop parametric and nonparametric bootstrap methods for multi-factor multivariate data, without assuming normality, and allowing for covariance matrices that are heterogeneous between groups.
The results of forecasting competitions would be more generalizable if based upon precisely described groups of time series, in which the series are homogeneous within group and heterogeneous between groups.
The groups are estimated to give appropriate categories that are relatively heterogeneous between groups and homogenous with groups in regard to mortality.
In the current study, although the causes of END are heterogeneous between groups, statin treatment in the acute phase of stroke reduces the incidence of END compared with those without statin treatment after stroke.
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Altogether, we conclude from these results that heterogeneous mobility between groups with different initial skills does not seem to be important enough to account for the observed differences in intergenerational mobility between the ethnic groups.
Mixed models are additionally useful as they can be used for data with heterogeneous variances between groups [ 71, 72].
Exposure models were fitted with both homogenous and heterogeneous between-subject variances among groups to check the assumption of the homogenous between-subject variability for all groupings.
Accounting for within-gene between-groups heterogeneous residual variances in mixed model analyses of non-competitive microarray gene expression data (or even competitive microarray gene expression data after suitable data editing) allows to characterize differential expression patterns in terms of gene expression variability.
This Bayes factor only requires the analysis of the complex model (hierarchical mixed model with between-groups heterogeneous residual variances for all analyzed genes) and gene-specific Bayes factors are provided from the output of a simple Markov chain Monte Carlo sampling.
However, the need of this non-woven wound dressing for all trauma is not ideal because the skin wound is heterogeneous between the patient groups, and thus the skin regeneration should turn to personalized treatment [62].
These results are also based on analyses whose assumptions were optimally satisfied through the simulation process, and are likely to differ in respect of real-life data that depart from such assumptions – e.g. a skewed outcome variable, or heterogeneous ZY regression coefficients between groups.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com