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These constraints force us to look for a refinement in the standard hypothesis testing procedure for correlation.
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The preceding procedures for correlation matrix calculation are depicted in Figure 6. Figure 6 Correlation matrix construction.
An optimisation procedure for a correlation between the material, the design and the forming process of two blown cosmetic bottles is presented.
The correlation between the dry HunterLab values with the dry BYK is also included in this study; the TiO2 samples which failed in acrylic lacquer paint b values were collected and measured in terms of brightness and color by both BYK and HunterLab instrument as per the above procedure for this correlation study.
A similar procedure for the correlation coefficients has not been made available because they perform poorly on the available test data, see Supp. Figure S7.
The association of quantifiable traits with genotypes was analysed by linear regression using the GEE procedure to account for correlation among siblings.
The procedure for model-ship correlation is shown to make the results available in design practices.
The procedure for obtaining partial correlation values here is consistent with other work [28], [22].
The generalized estimating equations procedure was implemented to adjust for correlation among multiple infections for the same child.
Because of the narrow frequency filter used and complexity of the initial few seconds of P waveform, cycle skips are commonly observed with the cross correlation procedure for the Mw 9.0 mainshock.
We then ran another canonical correlation procedure for the combined traits to obtain a residual sum of squares matrix at the most probable joint location for a relQTL.
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