In such a case, because the two vectors use a traditional distribution, they can make a very good illustration of how this purpose will work.
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more from your indicate than you would count on if the information building procedure have been essentially a standard distribution.
Residual normality is frequently mentioned as one of many weaker assumptions (see Andrew Gelman, for example). Residual normality and homoscedasticity are more significant when you're using the design to make predictions. $endgroup$
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A greater way to determine the mixing proportions and relative SDs might be to suit a Gaussian combination product. In R, which might be accomplished While using the Mclust package deal, Despite the fact that any decent statistical program need to be capable of get it done. I display a simple Examination in my solution to How to check if my distribution is multimodal?
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There are various distributions which might be symmetrical and have fatter tails than the conventional. I might frequently start out by taking a look at $t$-distributions, as they are well understood, and you'll regulate the tail 'fatness' by modulating the degrees of independence parameter. Your instance is noteworthy in that the center is very straight, as well as the finishes are extremely straight and approximately parallel to each other, with rather sharp corners between.
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