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Quoting NIST, when analyzing a continuous variable, one needs to validate four assumptions that typically underlie all measurement processes; namely, that the data at hand "behave like":

  • random drawings;
  • from a fixed distribution;
  • with the distribution having fixed location; and
  • with the distribution having fixed variation.

The 4-plot is a great way to validate these assumptions.

My questions are the following:

  • What are equivalent assumptions for a discrete variable?
  • What would be the best set of graphics to validate them?
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