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Correlation binds variables together; independence declares their movements unpredictable.
Statistical independence signifies that knowledge of one variable illuminates nothing about another.
Independence is crucial for selecting accurate tests and interpreting data without bias.
Independence from confounders in trials is vital for credible conclusions.
Asset return independence is a cornerstone of minimizing financial risk.
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In genetics, independence among gene expressions is pivotal for identifying unique patterns.
Independence implies no relation, unlike negative correlation's inverse relationship.
A zero correlation coefficient typically signifies genuine independence between variables.
Risk reduction in portfolios relies on the strategic independence of investments.
The validity of experimental results hinges on the independence of variables involved.
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