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Compute ranks for values of an array-like object.
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stdlib-js/stats-ranks
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Compute ranks for values of an array-like object.
npm install @stdlib/stats-ranks
Alternatively,
- To load the package in a website via a
script
tag without installation and bundlers, use theES Module available on theesm
branch (seeREADME). - If you are using Deno, visit the
deno
branch (seeREADME for usage intructions). - For use in Observable, or in browser/node environments, use theUniversal Module Definition (UMD) build available on the
umd
branch (seeREADME).
Thebranches.md file summarizes the available branches and displays a diagram illustrating their relationships.
To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.
varranks=require('@stdlib/stats-ranks');
Returns the sample ranks of the elements inarr
, which can be either anarray
ortyped array
.
vararr=[1.1,2.0,3.5,0.0,2.4];varout=ranks(arr);// returns [ 2, 3, 5, 1, 4 ]// Ties are averaged:arr=[2,2,1,4,3];out=ranks(arr);// returns [ 2.5, 2.5, 1, 5, 4 ];// Missing values are placed last:arr=[null,2,2,1,4,3,NaN,NaN];out=ranks(arr);// returns [ 6, 2.5, 2.5, 1, 5, 4, 7 ,8 ]
The function accepts the following options:
- method:
string
indicating how ties are handled. Can be one of the following values:'average'
,'min'
,'max'
,'ordinal'
and'dense'
. Default:'average'
. - missing:
string
specifying how missing values are handled. Must be either'last'
,'first'
or'remove'
. Default:'last'
. - encoding:
array
holding all values which will be regarded as missing values. Default:[ NaN, null]
.
When all elements of thearray
are different, the ranks are uniquely determined. When there are equal elements (calledties), themethod
option determines how they are handled. The default,'average'
, replace the ranks of the ties by their mean. Other possible options are'min'
and'max'
, which replace the ranks of the ties by their minimum and maximum, respectively.'dense'
works like'min'
, with the difference that the next highest element after a tie is assigned the next smallest integer. Finally,ordinal
gives each element inarr
a distinct rank, according to the position they appear in.
vardata=[2,2,1,4,3];// Max method:varout=ranks(data,{'method':'max'});// returns [ 3, 3, 1, 5, 4 ]// Min method:out=ranks(data,{'method':'min'});// returns [ 2, 2, 1, 5, 4 ]// Ordinal methodout=ranks(data,{'method':'ordinal'});// returns [ 2, 3, 1, 5, 4 ]// Dense method:out=[2,2,1,4,3];out=ranks(data,{'method':'dense'});// returns [ 2, 2, 1, 4, 3 ]
Themissing
option is used to specify how to handle missing data. By default,NaN
ornull
are treated as missing values.'last'
specifies that missing values are placed last,'first'
that the are assigned the lowest ranks and'remove'
means that they are removed from the array before the ranks are calculated.
vardata=[NaN,2,2,1,4,3,null,null];varout=ranks(data,{'missing':'first'});// returns [ 1, 5.5, 5.5, 4, 8, 7, 2, 3 ]out=ranks(data,{'missing':'last'});// returns [ 6, 2.5, 2.5, 1, 5, 4, 7 ,8 ]out=ranks(data,{'missing':'remove'});// returns [ 2.5, 2.5, 1, 5, 4 ]
Custom encoding for missing values is supported via theencoding
option, which allows to supply the function with anarray
of values which should be treated as missing.
varInt32Array=require('@stdlib/array-int32');vardata=newInt32Array([2,1,-999,3,4]);varout=ranks(data,{'encoding':[-999]});// returns [ 2, 1, 5, 3, 4 ]
varInt32Array=require('@stdlib/array-int32');varround=require('@stdlib/math-base-special-round');varrandu=require('@stdlib/random-base-randu');varranks=require('@stdlib/stats-ranks');vardata;varout;vari;// Plain arrays...data=newArray(10);for(i=0;i<data.length;i++){data[i]=round(randu()*10.0);}out=ranks(data);// returns <array>// Typed arrays...data=newInt32Array(10);for(i=0;i<data.length;i++){data[i]=randu()*10.0;}out=ranks(data);// returns <array>
This package is part ofstdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.
For more information on the project, filing bug reports and feature requests, and guidance on how to developstdlib, see the main projectrepository.
SeeLICENSE.
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Compute ranks for values of an array-like object.