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Second, we required that the correlation between the mean and the median signal intensities r > 0.85 where r is obtained by dividing the smaller of the mean or median by the larger.
The analysis of these multilevel or nested data required that the correlation of responses by individual participants between the measurement occasions and the correlation between participant responses within schools be taken into account.
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To effectively reconstruct the target scene, it is required that the correlations between target responses must be small.
However, whereas Basic Law V problematically requires that the correlation between concepts and extensions be one-to-one, Hume's Principle only requires that the correlation between concepts and numbers be many-to-one.
For a CNVR-tagging SNP we required that the squared Pearson correlation coefficient (r) of intensities had to be >0.6 for at least three consecutive CNV markers.
A stationary 45-dependent correlation structure was used in the primary analyses; we chose this correlation structure by examining the correlation of the residuals on each day with residuals from previous days, and it requires that the residual correlation go to zero if the days are > 45 days apart.
From studying the empirical density functions we require that the stochastic correlation process should satisfy the following properties: (i) only takes values in the interval ((-1,1)), (ii) varies around a mean value, (iii) the probability mass tends to zero at the boundaries −1, +1. .
Recall, that preservation of the correlation/covariance structure requires that the conditional correlations among the unique variables given the matching variable should be close to zero.
The industry-standard MGB approach to predicting the noise generated by a given aerodynamic flow field requires that the turbulence velocity correlation be specified so that the source terms in the Lighthill acoustic analogy may be computed.
Factors were extracted via the unweighted least squares factor method because it does not require that the matrix of correlation estimates be positive definite, and because, given the large number of items analyzed in this study, it is computationally more feasible than alternative estimation methods [ 28, 29].
Marginal change in sample size for r + 1 compared to r assessments is therefore: This equation does not require that measurements be equally spaced or that correlations between measurements be constant.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com