rank data items according to their numeric values
(optional) equation(s) of the form option=value where option is one of order or output; specify options for the Rank function
For a data set X of size n, the Rank command ranks the elements of X according to their floating-point values.
By default, an array of ranks is returned, that is an array of distinct integers between 1 and n. By default the elements of X are ranks in the ascending order. Note that if i is different from j then datai and dataj will receive distinct ranks even if data[i] = data[j].
The first parameter X is the data set - given as e.g. a Vector.
The options argument can contain one or more of the options shown below.
order=ascending or descending -- Indicate whether the elements of X should be ranked in the ascending or descending order. The default value is order=ascending.
output=table -- By default (output=rtable) different elements of X receive different ranks even if the two elements have the same numeric value. If this option is set to output=table then the elements of X will be ranked according to their position in the sorted sample with all multiple occurrences removed.
Each element of X can be any Maple expression, but this expression must be able to be evaluated to a floating-point number. Failure to evaluate to do so will generate an exception.
If the output option is set to output=table all elements in X must be of type numeric.
The Rank command leaves the original data set X unchanged.
A ≔ Array⁡0.5,0.7,0.5,0.1,0.3,0.1,0.2,0.1
A ≔ 0.50.70.50.10.30.10.20.1
Rank the elements of A in the ascending order.
R ≔ Rank⁡A
R ≔ 68715243
Reorder the elements of A according to their ranks.
B ≔ OrderByRank⁡A,R
B ≔ 0.10.10.10.22.214.171.124.7
Reorder the elements of A in the descending order.
Q ≔ Rank⁡A,order=descending
Q ≔ 21364758
C ≔ OrderByRank⁡A,Q
C ≔ 0.70.50.50.126.96.36.199.1
Build the ranks table.
T ≔ Rank⁡A,output=table
T ≔ table0.7=5,0.1=1,0.3=3,0.2=2,0.5=4
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