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<p> and  does not depend on the scale on which the variables are expressed.   That is, if we are analyzing the relationship between  and , most correlation measures are unaffected by transforming  to  and  to , where a, b, c, and d are constants (b and d being positive).  This is true of some correlation <a href="page.php?w=statistic">statistic</a>s as well as their <a href="page.php?w=Population_%28statistics%29">population</a> analogues. Some correlation statistics, such as the rank correlation coefficient, are also invariant to <a href="page.php?w=monotone_function">monotone transformations</a></p><p>
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