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Request to support multiple options to calculate quantiles

There are at least 9 different ways to calculate quantiles. JMP only supports one of them (Weibull estimate). Requesting that other options be supported and user choice allowed for selecting which option is to be invoked. Other SAS tools appear to support multiple options. Based on a 1996 paper (Hyndman and Fan, "Sample Quantiles in Statistical Packages", The American Statistician, Nov. 1996), the Unbiased Median approach is considered to be the most robust. Here are some relevant links that provide further details.

 

https://mathworld.wolfram.com/Quantile.html

https://en.wikipedia.org/wiki/Quantile_function

https://analyse-it.com/blog/2013/2/quantiles-percentiles-why-so-many-ways-to-calculate-them

 

Thanks and regards

Mehul Shroff

1 Comment
MShroff
Level VI

Correction: The recommended approach is Median-Unbiased, not Unbiased-Median. This is the Q8 option in the Wolfram article and R-8 in the Wikipedia article.