/***********************************************************************
This file is part of JavaNPST, a Java library of NonParametric
Statistical Tests.
Copyright (C) 2011
J. Derrac (jderrac@decsai.ugr.es)
S. Garcia (sglopez@ujaen.es)
F. Herrera (herrera@decsai.ugr.es)
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see http://www.gnu.org/licenses/
**********************************************************************/
package javanpst.tests.equality.JTTest;
import javanpst.data.structures.dataTable.DataTable;
import javanpst.distributions.common.continuous.NormalDistribution;
import javanpst.tests.StatisticalTest;
/**
* The Jonckheere and Terpstra test (JT test)
*
* This test can be applied to test the null hypotheses of equal medians
* between populations. Alternative is that the location parameter
* is in increasing order:
*
* M1 <= M2 <= ... <= Mn
*
* P-values are computed through a normal distribution
* approximation.
*
* All samples must have the same number of elements.
*
* @author Joaqu�n Derrac Rus (jderrac@decsai.ugr.es)
* @version 1.0
*/
public class JTTest extends StatisticalTest{
/**
* Data to analyze
*/
private DataTable data;
/**
* Populations samples
*/
private double samples [][];
/**
* B statistic
*/
private double B;
/**
* Z value
*/
private double Z;
/**
* P-value computed
*/
private double pValue;
/**
* Default builder
*/
public JTTest(){
setReportFormat();
clearData();
}//end-method
/**
* Clears the data stored in the test
*/
public void clearData(){
data=new DataTable();
performed=false;
dataReady=false;
B=0.0;
Z=0.0;
samples=null;
pValue=-1.0;
}//end-method
/**
* Builder. Load data to test.
*
* @param newData data to test.
*/
public JTTest(DataTable newData){
setReportFormat();
data=DataTable.newInstance(newData);
if(data.getColumns()<3){
System.out.println("Extended median test only can be employed with more than two samples");
clearData();
return;
}
for(int i=0;i0){
System.out.println("No null values allowed in this test.");
clearData();
return;
}
}
samples=new double[data.getRows()][data.getColumns()];
for(int i=0;i0){
System.out.println("No null values allowed in this test.");
clearData();
return;
}
}
samples=new double[data.getRows()][data.getColumns()];
for(int i=0;isamples[j][first]){
counter++;
}
}
}
B+=counter;
}
}
//compute standard median and variance of the Z statistic
N=data.getRows()*data.getColumns();
stMean=((N*N)-(data.getColumns()*data.getRows()*data.getRows()))/4.0;
stDev=N*N*((2*N)+3.0)-(data.getColumns()*data.getRows()*data.getRows()*((2*data.getRows())+3.0));
stDev/=72.0;
stDev=Math.sqrt(stDev);
Z=(B-stMean)/stDev;
computePValue();
performed=true;
}//end-method
/**
* Compute p-value for hypotheses of equality of medians
*/
private void computePValue(){
NormalDistribution normal=new NormalDistribution();
pValue=1.0-normal.getTipifiedProbability(Z, false);
}//end-method
/**
* Get B statistic
*
* @return B statistic
*/
public double getB(){
return B;
}//end-method
/**
* Get Z value
*
* @return Z value
*/
public double getZ(){
return Z;
}//end-method
/**
* Get p-value
*
* @return p-value computed
*/
public double getPValue(){
return pValue;
}//end-method
/**
* Prints the data stored in the test
*
* @return Data stored
*/
public String printData(){
String text="";
text+="\n"+data;
return text;
}//end-method
/**
* Prints a report with the results of the test
*
* @return Output report
*/
public String printReport(){
String report="";
if(!performed){
report+="The test has not been performed.\n";
return report;
}
report+="\n***************************************\n";
report+="Jonckheere and Terpstra test (JT test)\n";
report+="***************************************\n\n";
report+="B statistic: "+nf6.format(B)+"\n\n";
report+="P-Value computed :"+nf6.format(pValue)+"\n\n";
return report;
}//end-method
}//end-class
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