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    $\begingroup$ The reason is because it hit a negative value under the root, which ended up generating imaginary numbers. You can try using either assumptions, or use Abs, like this: !Mathematica graphics now it worked. If this meets your model or not, I do not know. I do not do stats. But that is the reason why it failed. $\endgroup$ Commented Aug 25, 2013 at 5:05
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    $\begingroup$ another option is to add a constraint, like this !Mathematica graphics again, I do not know if this meets your model needs or not. $\endgroup$ Commented Aug 25, 2013 at 5:16
  • $\begingroup$ When I try to evaluate the code, Mathematica 9.0.1 neither evaluates the code nor returns an error !Mathematica graphics. However following what @Nasser has suggested fixes the problem. $\endgroup$ Commented Aug 25, 2013 at 5:31
  • $\begingroup$ @Nasser would you consider an answer? You solved the problem, so why not document it? $\endgroup$ Commented Aug 25, 2013 at 6:42
  • $\begingroup$ This is a common problem. I've addressed it in my preferred fashion in this answer. $\endgroup$ Commented Aug 25, 2013 at 15:37