How to perform Utility functions using chart?

Using UtilityFunctions class we can perform Gamma, factorial, Beta and other functions used in statistical distributions formulas.

We can perform the following utility analysis in chart,

• Normal Distribution - The Normal Distribution method returns the Normal distribution for a given value.
• T Cumulative Distribution - The T Cumulative Distribution method returns the T Cumulative distribution for a given value.
• F Cumulative Distribution - The F Cumulative Distribution method returns the FCumulative distribution for a given value.

C#

//Perform T Cumulative Distribution : Initializes the T distribution series.

series = this.chartControl1.Model.NewSeries("T Distribution",ChartSeriesType.SplineArea);

series.Text = series.Name;

//Set the degree of freedom.

n = 2;

//Calculates the Beta function.

beta = UtilityFunctions.Beta(0.5, n / 2.0);

// Calculate coefficient of T Distribution.

coef = Math.Pow(n, -0.5) / beta;

// Calculate Data Points

for (int x = -120; x <= 120; x++)

{

doubleX = x / 10.0;

y = coef / Math.Pow(1.0 + doubleX * doubleX / n, (n + 1.0) / 2.0);

//Add data points to the series.

series.Points.Add(doubleX, y);

}

//Add the series to the chart series collection.

this.chartControl1.Series.Add(series);

VB

'Perform T Cumulative Distribution : Initializes the T distribution series.

series = Me.chartControl1.Model.NewSeries("T Distribution",ChartSeriesType.SplineArea)

series.Text = series.Name

'Set the degree of freedom.

n = 2

'Calculates the Beta function.

beta = UtilityFunctions.Beta(0.5, n / 2.0)

' Calculate coefficient of T Distribution.

coef = Math.Pow(n, -0.5) / beta

' Calculate Data Points

Do

doubleX = x / 10.0

y = coef / Math.Pow(1.0 + doubleX * doubleX / n, (n + 1.0) / 2.0)

'Add data points to the series.

series.Points.Add(doubleX, y)

Loop

'Add the series to the chart series collection.

Me.chartControl1.Series.Add(series)

This is illustrated in the Chart UG in this topic:

Utility Formulas