/// <summary>
/// Converts a given test statistic to a p-value.
/// </summary>
///
/// <param name="x">The value of the test statistic.</param>
///
/// <returns>The p-value for the given statistic.</returns>
///
public override double StatisticToPValue(double x)
{
if (Double.IsNaN(this.Statistic))
{
Trace.TraceWarning("The test statistic is NaN, probably because its standard error is zero. This test is not applicable in this case as the samples do " +
"not come from a normal distribution. One way to overcome this problem may be to increase the number of samples in your experiment.");
return(Double.NaN);
}
double p;
switch (Tail)
{
case DistributionTail.TwoTail:
p = 2.0 * StatisticDistribution.DistributionFunction(Math.Abs(x));
break;
case DistributionTail.OneUpper:
p = StatisticDistribution.ComplementaryDistributionFunction(x);
break;
case DistributionTail.OneLower:
p = StatisticDistribution.DistributionFunction(x);
break;
default:
throw new InvalidOperationException();
}
return(p);
}
/// <summary>
/// Converts a given test statistic to a p-value.
/// </summary>
///
/// <param name="x">The value of the test statistic.</param>
///
/// <returns>The p-value for the given statistic.</returns>
///
public override double StatisticToPValue(double x)
{
if (StatisticDistribution == null)
{
return(Double.NaN); // return NaN to match R's behavior
}
double p;
switch (Tail)
{
case DistributionTail.TwoTail:
double a = StatisticDistribution.DistributionFunction(x);
double b = StatisticDistribution.ComplementaryDistributionFunction(x);
double c = Math.Min(a, b);
p = Math.Min(2 * c, 1);
break;
case DistributionTail.OneLower:
p = StatisticDistribution.DistributionFunction(x);
break;
case DistributionTail.OneUpper:
p = StatisticDistribution.ComplementaryDistributionFunction(x);
break;
default:
throw new InvalidOperationException();
}
return(p);
}
/// <summary>
/// Converts a given test statistic to a p-value.
/// </summary>
///
/// <param name="x">The value of the test statistic.</param>
///
/// <returns>The p-value for the given statistic.</returns>
///
public override double StatisticToPValue(double x)
{
// TODO: Maybe unify with WilcoxonTest?
double p;
switch (Tail)
{
case DistributionTail.TwoTail:
double a = StatisticDistribution.DistributionFunction(x);
double b = StatisticDistribution.ComplementaryDistributionFunction(x);
double c = Math.Min(a, b);
p = Math.Min(2 * c, 1);
break;
case DistributionTail.OneLower:
p = StatisticDistribution.DistributionFunction(x);
break;
case DistributionTail.OneUpper:
p = StatisticDistribution.ComplementaryDistributionFunction(x);
break;
default:
throw new InvalidOperationException();
}
return(p);
}
/// <summary>
/// Converts a given test statistic to a p-value.
/// </summary>
///
/// <param name="x">The value of the test statistic.</param>
///
/// <returns>The p-value for the given statistic.</returns>
///
public override double StatisticToPValue(double x)
{
double p;
switch (Tail)
{
case DistributionTail.TwoTail:
double a = StatisticDistribution.DistributionFunction(x);
double b = StatisticDistribution.ComplementaryDistributionFunction(x);
p = 2 * Math.Min(a, b);
break;
case DistributionTail.OneUpper:
p = StatisticDistribution.DistributionFunction(x);
break;
case DistributionTail.OneLower:
p = StatisticDistribution.ComplementaryDistributionFunction(x);
break;
default:
throw new InvalidOperationException();
}
return(p);
}
/// <summary>
/// Converts a given test statistic to a p-value.
/// </summary>
///
/// <param name="x">The value of the test statistic.</param>
///
/// <returns>The p-value for the given statistic.</returns>
///
public override double StatisticToPValue(double x)
{
double p;
switch (Tail)
{
case DistributionTail.TwoTail:
p = wilsonSterne(x);
break;
case DistributionTail.OneUpper:
p = StatisticDistribution.ComplementaryDistributionFunction((int)x, inclusive: true);
break;
case DistributionTail.OneLower:
p = StatisticDistribution.DistributionFunction((int)x);
break;
default:
throw new InvalidOperationException();
}
return p;
}
/// <summary>
/// Converts a given test statistic to a p-value.
/// </summary>
///
/// <param name="x">The value of the test statistic.</param>
///
/// <returns>The p-value for the given statistic.</returns>
///
public override double StatisticToPValue(double x)
{
return(StatisticDistribution.DistributionFunction(x));
}