Program g08ahfe

!     G08AHF Example Program Text

!     Mark 30.1 Release. NAG Copyright 2024.

!     .. Use Statements ..
      Use nag_library, Only: g08ahf, g08ajf, g08akf, nag_wp
!     .. Implicit None Statement ..
      Implicit None
!     .. Parameters ..
      Integer, Parameter               :: nin = 5, nout = 6
!     .. Local Scalars ..
      Real (Kind=nag_wp)               :: p, pexact, u, unor
      Integer                          :: ifail, liwrk, lwrk, lwrk1, lwrk2,    &
                                          lwrk3, mn, n1, n2, nsum
      Logical                          :: ties
      Character (1)                    :: tail
!     .. Local Arrays ..
      Real (Kind=nag_wp), Allocatable  :: ranks(:), wrk(:), x(:), y(:)
      Integer, Allocatable             :: iwrk(:)
!     .. Intrinsic Procedures ..
      Intrinsic                        :: int, max, min
!     .. Executable Statements ..
      Write (nout,*) 'G08AHF Example Program Results'
      Write (nout,*)

!     Skip heading in data file
      Read (nin,*)

!     Read in problem size
      Read (nin,*) n1, n2, tail

!     Calculate sizes of various workspaces
      nsum = n1 + n2
      mn = min(n1,n2)

!     Workspace for G08AHF
      lwrk1 = nsum

!     Workspace for G08AJF
      lwrk2 = int(n1*n2/2) + 1

!     Workspace for G08AKF
      lwrk3 = mn + mn*(mn+1)*nsum - mn*(mn+1)*(2*mn+1)/3 + 1
      liwrk = 2*nsum + 2

      lwrk = max(lwrk1,lwrk2,lwrk3)
      Allocate (x(n1),y(n2),ranks(nsum),wrk(lwrk),iwrk(liwrk))

!     Read in data
      Read (nin,*) x(1:n1)
      Read (nin,*) y(1:n2)

!     Display title
      Write (nout,*) 'Mann-Whitney U test'
      Write (nout,*)

!     Display input data
      Write (nout,99999) 'Sample size of group 1 = ', n1
      Write (nout,99999) 'Sample size of group 2 = ', n2
      Write (nout,*)
      Write (nout,*) 'Data values'
      Write (nout,*)
      Write (nout,99998) '    Group 1  ', x(1:n1)
      Write (nout,*)
      Write (nout,99998) '    Group 2  ', y(1:n2)

!     Perform test
      ifail = 0
      Call g08ahf(n1,x,n2,y,tail,u,unor,p,ties,ranks,wrk,ifail)

!     Calculate exact probabilities
      If (.Not. ties) Then
        ifail = 0
        Call g08ajf(n1,n2,tail,u,pexact,wrk,lwrk,ifail)

      Else
        ifail = 0
        Call g08akf(n1,n2,tail,ranks,u,pexact,wrk,lwrk,iwrk,ifail)
      End If

!     Display results
      Write (nout,*)
      Write (nout,99997) 'Test statistic           = ', u
      Write (nout,99997) 'Normal Statistic         = ', unor
      Write (nout,99997) 'Approx. tail probability = ', p
      Write (nout,*)
      If (ties) Then
        Write (nout,*) 'There are ties in the pooled sample'
      Else
        Write (nout,*) 'There are no ties in the pooled sample'
      End If
      Write (nout,*)
      Write (nout,99997) 'Exact tail probability   = ', pexact

99999 Format (1X,A,I5)
99998 Format (1X,A,8F5.1,2(/,14X,8F5.1))
99997 Format (1X,A,F10.4)
    End Program g08ahfe