Statistics.Percentile Function

Percentile.

Pascal

function Percentile(const X: TVec; P: double; Method: TPercentileMethod = pctMethodNPlus): double; overload;

File

Statistics

Parameters

Parameters	Description
X	Data. An exception is raised if X is complex.
P	Defines the 100*p percentile. The parameter P must lie in the interval (0,1), otherwise an exception is raised.
Method	Defines one of the available methods for calculating percentile. Software packages use different methods to calculate percentiles. For example, Excel uses pctMethodNMinus, while on the other hand, NCSS's default method is pctMethodNPlus.

Returns

the 100*P th percentile of all X vector elements. The 100*P -th percentile is defined as the value that is greater than 100*P percent of the values in X.

See Also

InterQuartile

Example

Calculate the 2nd quantile location = median position.

Uses MtxExpr, Math387, Statistics;
procedure Example;
var a: Vector;
  PrcRes: double;
begin
  a.SetIt(false,[1, 2, 3, 10, 15, 21]);
  PrcRes := Percentile(a,0.75); // PrcRes = 16.5
  PrcRes := Percentile(a,0.75, pctMethodNMinus); // PrcRes = 13.75
  PrcRes := Percentile(a,0.75,pctMethodClosestN); // PrcRes = 10
end;

#include "MtxExpr.hpp"
#include "Math387.hpp"
#include "Statistics.hpp"
void __fastcall Example()
{
  sVector a;
  double pctile;
  a.SetIt(false,OPENARRAY(double,(1,2,3,10,15,21)));
  pctile = Percentile(a,0.75,pctMethodNPlus); //  = 16.5
  pctile = Percentile(a,0.75, pctMethodNMinus); //  = 13.75
  pctile = Percentile(a,0.75,pctMethodClosestN); //  = 10
}

Statistics, Functions, Example, See Also

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