PairedTTest Class

[SerializableAttribute]
public class PairedTTest : HypothesisTest<TDistribution>

<SerializableAttribute>
Public Class PairedTTest
	Inherits HypothesisTest(Of TDistribution)

// To do so, we need to register the initial state of each patient
// and then register their state after a given time under treatment.

double[,] patients =
{
        //                 before      after
        //                treatment  treatment
        /* Patient 1.*/ {     0,         1     },
        /* Patient 2.*/ {     6,         5     },
        /* Patient 3.*/ {     4,         9     },
        /* Patient 4.*/ {     8,         6     },
        /* Patient 5.*/ {     1,         6     },
        /* Patient 6.*/ {     6,         7     },
        /* Patient 7.*/ {     3,         4     },
        /* Patient 8.*/ {     8,         7     },
        /* Patient 9.*/ {     6,         5     },
};

// Extract the before and after columns
double[] before = patients.GetColumn(0);
double[] after = patients.GetColumn(1);

// Create the paired-sample T-test. Our research hypothesis is
// that the treatment does improve the patient's well-being. So
// we will be testing the hypothesis that the well-being of the
// "before" sample, the first sample, is "smaller" in comparison
// to the "after" treatment group.

PairedTTest test = new PairedTTest(before, after,
    TwoSampleHypothesis.FirstValueIsSmallerThanSecond);

bool significant = test.Significant; //   not significant
double pvalue = test.PValue;         //  p-value =  0.1650
double tstat  = test.Statistic;      //  t-stat  = -1.0371