Regress.ANOVA1 Function

Perform the one-way analysis of variance where Data vector (one variable) is indexed by a second grouping GroupIndex vector variable.

Pascal

function ANOVA1(const Data: TVec; const GroupIndex: TVecInt; out p: double; Alpha: double = 0.05): TANOVA1Result; overload;

File

Regress

Parameters

Parameters	Description
Data	Data vector of single variable.
GroupIndex	Stores group indexes.
p	Returns the significance probability of null hypothesis that two means are equal. If p is less than desired significance alpha then the result suggests the null hypothesis (two means are equal) can be rejected.
Alpha	Desired significance level.

See Also

ANOVA2

Example

The following example will perform ANOVA on single variable with three groups (0,1,2 - stored in GroupIndex vector).

Use MtxExpr, Math387, Regress;
var GroupIndex : Vector;
  Data: Vector;
  ANOVARes : TANOVA1Result;
  SigProb : double;
begin
  Data.SetIt(false,[1,2,3,4,5,6,7,8,9,10,11,12]);
  GroupIndex.SetIt(false,[0,0,0,0,1,1,1,1,2,2,2,2]);
  ANOVARes := ANOVA1(Data,GroupIndex,SigProb);
  // ANOVARes = (SS1:128; SS2:15; SSTotal:143;
  // Deg1:2; Deg2:9; DegTotal:11; MS1:64;
  // MS2:1.6666666667; FDist:38.4; FCrit:4.2564947291)
  // SigProb = 3.9210149408e-05
end;

#include "MtxExpr.hpp"
#include "Regress.hpp"
#include "Math387.hpp"
void __fastcall Example()
{
  sVector Data, GroupIndex;
  TANOVA1Result ANOVAResult;
  double signprob;
  Data.SetIt(false,OPENARRAY(double,(1,2,3,4,5,6,7,8,9,10,11,12)));
  GroupIndex.SetIt(false,OPENARRAY(double,(0,0,0,0,1,1,1,1,2,2,2,2)));
  ANOVAResult = ANOVA1(Data,GroupIndex,signprob,0.05);
  // ANOVARes = (SS1:128; SS2:15; SSTotal:143;
  // Deg1:2; Deg2:9; DegTotal:11; MS1:64;
  // MS2:1.6666666667; FDist:38.4; FCrit:4.2564947291)
  // signprob = 3.9210149408e-05
}

Regress, Functions, Example, See Also

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