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And for those that might carp (quite correctly) that causation does not equal correlation the study also found that the link between social media and illicit consumption was even more pronounced for individuals who didn't have regularly-partying friends.
Obviously, is a zero mean normal sequence with equal correlation.
Moreover, the analysis is limited to a specific scenario of equal correlation among the diversity branches.
Firstly, we will construct a standardized triangular Gaussian array with equal correlation in th array for.
Indeed, two sample can yield an equal correlation, say an equal Spearman's ρ, but come from different copulas.
Thus, this study is limited to a specific scenario, incorporating equal average branch SNRs and equal correlation among the diversity branches.
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Further subgroups with PMI < 4 days for implants (r = 0.969) and no implants (r = 0.966) revealed both strong and nearly equal correlations.
Regarding correlation patterns, it is useful to think of them as having four types, in increasing complexity: (1) zero correlations (independent observations), (2) equal correlations, (3) rule-based patterns, and (4) unstructured correlations (no specific pattern).
The chosen error structures include equal correlations using compound symmetric (i.e. constant) correlation (with ρ = 0.25,0.5 or 0.75), autoregressive (exponential attenuation) correlation (with ρ = 0.25,0.5 or 0.75) and no correlation.
The template formulae developed by Stavenga [ 73] and Govardovskii [ 74] produce equal correlations (0.99 for dark-adaptation and 0.97 for LW-adaptation; correlation was calculated as 1 - mean square error).
One of the restrictive assumptions that may limit the models in physiological indicators interpretation is the requirement that correlations among measurements on the same subject satisfy a restrictive condition called sphericity, that is, equal variability of the measurements at each time point and equal correlations between every two measurements on the same individual [ 7].
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