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Why divide the group in two? What substantive question are you trying to answer by doing that?

Perhaps your substantive question might better be answered if you instead examine the bivariate distribution of $x$ and $y$ using scatter plot methods (say, like whuber's blurred/gamma-corrected scatter plot herehere), or looking at the marginal bivariate distributions using a scatter plot smoothing regression as in my answermy answer to the same question. That way you get to understand the behavior of $x$ relative to $y$, without forcing an artificial and meaningless division of $y$.

Why divide the group in two? What substantive question are you trying to answer by doing that?

Perhaps your substantive question might better be answered if you instead examine the bivariate distribution of $x$ and $y$ using scatter plot methods (say, like whuber's blurred/gamma-corrected scatter plot here), or looking at the marginal bivariate distributions using a scatter plot smoothing regression as in my answer to the same question. That way you get to understand the behavior of $x$ relative to $y$, without forcing an artificial and meaningless division of $y$.

Why divide the group in two? What substantive question are you trying to answer by doing that?

Perhaps your substantive question might better be answered if you instead examine the bivariate distribution of $x$ and $y$ using scatter plot methods (say, like whuber's blurred/gamma-corrected scatter plot here), or looking at the marginal bivariate distributions using a scatter plot smoothing regression as in my answer to the same question. That way you get to understand the behavior of $x$ relative to $y$, without forcing an artificial and meaningless division of $y$.

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Alexis
Alexis
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Why divide the group in two? What substantive question are you trying to answer by doing that?

Perhaps your substantive question might better be answered if you instead examine the bivariate distribution of $x$ and $y$ using scatter plot methods (say, like whuber's blurred/gamma-corrected scatter plot here), or looking at the marginal bivariate distributions using a scatter plot smoothing regression as in my answer to the same question. That way you get to understand the behavior of $x$ relative to $y$, without forcing an artificial and meaningless division of $y$.