Random - Sample Size in Table --> Subset ---- What is the function that is used to create the randomness in selections?

[#1]

I want to know what function/algorithm was used to generate the randomness in selecting the samples when we use the random - sample size option when subsetting a table in JMP.

[#2]

If you are asking whether it is with or without replacement, the answer is without replacement. If the subset size equals the original size, the result is a random shuffle: https://www.jmp.com/support/help/en/18.1/#page/jmp/create-a-subset-data-table.shtml?os=win&source=ap...

[#3]

Hi @CramerRaoError1 : Further to @peng_liu 's comment.  Effectively, it is the same as the following; say you want a random subset of size n.

   1. Assign each row a random number (each Uniformly distributed between 0 and 1).

   2. Sort the Rows by the Uniform number.

   3. Take the top n rows as the random subset of size n, 

There are other methods...but, they all boil down to each sample of size n having equal probability of being selected. So, in that sense, the methods are all equivalent.