Here an analytical method is adopted to conduct a vibration analysis using a bi-linear bending constitution simplifying from the non-linear bending moment curvature relationship, and the effective Young's modulus have been calculated for multi-walled carbon nanotubes of various sizes.
The measurement model does not contain any redundant formative indicators: the Variance Inflation Factor (VIF) indicating multi-colinearity was calculated for all indices.
Multi response signal to noise ratio (MRSN) was calculated for the response variables and the optimum combination level of factors was obtained simultaneously using Taguchi's parametric design.
To account for these differences, raked sampling weights were calculated for each age and sex combination to adjust for individual level non-response and multi-stage selection probability.
T2 relaxation times can be calculated from the multi echo data and we have done so on a pixel by pixel basis for the initial step in the post processing methodology.
In addition, the CMC test was calculated in the multi-camera scenario.
All variables were mean-centered before interaction-terms were calculated to mitigate multi-collinearity.
Normalized expression values were calculated by the Robust Multi-array Average (RMA) method.
Normalized expression values were calculated by the GC-Robust Multi-array Average GC-RMAA) method.
Trait values for multi-trait QTL were calculated from allelic substitution values in [ 3] or computed from the original files used for QTL detection [ 6].
Average spectrograms for the odor-sampling intervals of correct and incorrect trials were calculated using a multi-taper method from the Chronux open source MATLAB toolbox (available at: http://chronux.org/) (Mitra and Bokil, 2008).
