f_distribution Derived Type

type, public, extends(distribution) :: f_distribution

Defines an F-distribution.


Contents

Variables

d1 d2

Type-Bound Procedures


Components

Type Visibility Attributes Name Initial
real(kind=real64), public :: d1

The measure of degrees of freedom for the first data set.
real(kind=real64), public :: d2

The measure of degrees of freedom for the second data set.

Type-Bound Procedures

procedure, public :: cdf => fd_cdf

  • private pure elemental function fd_cdf(this, x) result(rst)

    Computes the cumulative distribution function.

    The CDF for a F distribution is given as .

    Arguments

    Type IntentOptional Attributes Name
    class(f_distribution), intent(in) :: this

    The f_distribution object.
    real(kind=real64), intent(in) :: x

    The value at which to evaluate the function.

    Return Value real(kind=real64)

    The value of the function.

procedure, public :: mean => fd_mean

  • private pure function fd_mean(this) result(rst)

    Computes the mean of the distribution.

    Arguments

    Type IntentOptional Attributes Name
    class(f_distribution), intent(in) :: this

    The f_distribution object.

    Return Value real(kind=real64)

    The mean.

procedure, public :: median => fd_median

  • private pure function fd_median(this) result(rst)

    Computes the median of the distribution.

    Arguments

    Type IntentOptional Attributes Name
    class(f_distribution), intent(in) :: this

    The f_distribution object.

    Return Value real(kind=real64)

    The median.

procedure, public :: mode => fd_mode

  • private pure function fd_mode(this) result(rst)

    Computes the mode of the distribution.

    Arguments

    Type IntentOptional Attributes Name
    class(f_distribution), intent(in) :: this

    The f_distribution object.

    Return Value real(kind=real64)

    The mode.

procedure, public :: pdf => fd_pdf

  • private pure elemental function fd_pdf(this, x) result(rst)

    Computes the probability density function.

    The PDF for a F distribution is given as .

    Arguments

    Type IntentOptional Attributes Name
    class(f_distribution), intent(in) :: this

    The f_distribution object.
    real(kind=real64), intent(in) :: x

    The value at which to evaluate the function.

    Return Value real(kind=real64)

    The value of the function.

procedure, public :: standardized_variable => dist_std_var

Computes the standardized variable for the distribution.

  • private pure elemental function dist_std_var(this, x) result(rst)

    Computes the standardized variable for the distribution.

    Arguments

    Type IntentOptional Attributes Name
    class(distribution), intent(in) :: this

    The distribution object.
    real(kind=real64), intent(in) :: x

    The value of interest.

    Return Value real(kind=real64)

    The result.

procedure, public :: variance => fd_variance

  • private pure function fd_variance(this) result(rst)

    Computes the variance of the distribution.

    Arguments

    Type IntentOptional Attributes Name
    class(f_distribution), intent(in) :: this

    The f_distribution object.

    Return Value real(kind=real64)

    The variance.