On the statistical analysis of rounded or binned data

On the Statistical Analysis of Rounded or Binned Data

Sheppard’s corrections offer approximations, but errors persist. Analytical bounds provide insight into the magnitude of these errors

Imagine having a list of length measurements in inches, precise to the inch. This list might represent, for instance, the heights of individuals participating in a medical study, forming a sample from a cohort of interest. Our goal is to estimate the average height within this cohort.

Consider an …

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