NAG Library Manual, Mark 30.1
Interfaces:  FL   CL   CPP   AD 

NAG FL Interface Introduction
Example description
    Program g04dbfe

!     G04DBF Example Program Text

!     Mark 30.1 Release. NAG Copyright 2024.

!     .. Use Statements ..
      Use nag_library, Only: g04bbf, g04dbf, nag_wp
!     .. Implicit None Statement ..
      Implicit None
!     .. Parameters ..
      Integer, Parameter               :: nin = 5, nout = 6
!     .. Local Scalars ..
      Real (Kind=nag_wp)               :: clevel, gmean, rdf, tol
      Integer                          :: i, iblock, ifail, ij, irdf, j, ldc,  &
                                          lit, n, nt
      Character (1)                    :: typ
!     .. Local Arrays ..
      Real (Kind=nag_wp), Allocatable  :: bmean(:), c(:,:), cil(:), ciu(:),    &
                                          ef(:), r(:), tmean(:), wk(:), y(:)
      Real (Kind=nag_wp)               :: table(4,5)
      Integer, Allocatable             :: irep(:), isig(:), it(:)
      Character (1)                    :: star(2)
!     .. Intrinsic Procedures ..
      Intrinsic                        :: abs
!     .. Executable Statements ..
      Write (nout,*) 'G04DBF Example Program Results'
      Write (nout,*)

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

!     Read in the problem size
      Read (nin,*) n, nt, iblock

      ldc = nt
      If (nt>1) Then
        lit = n
      Else
        lit = 1
      End If
      Allocate (y(n),bmean(abs(iblock)),tmean(nt),irep(nt),c(ldc,nt),r(n),     &
        ef(nt),wk(3*nt),it(lit),cil(nt*(nt-1)/2),ciu(nt*(nt-1)/2),isig(nt*(nt- &
        1)/2))

!     Read in the data and plot information
      Read (nin,*) y(1:n)
      If (nt>1) Then
        Read (nin,*) it(1:n)
      End If

!     Read in the type of level for the CIs
      Read (nin,*) typ, clevel

!     Use default tolerance
      tol = 0.0E0_nag_wp

!     Use standard degrees of freedom
      irdf = 0

!     Calculate the ANOVA table
      ifail = 0
      Call g04bbf(n,y,iblock,nt,it,gmean,bmean,tmean,table,4,c,ldc,irep,r,ef,  &
        tol,irdf,wk,ifail)

!     Display results from G04BBF
      Write (nout,*) ' ANOVA table'
      Write (nout,*)
      Write (nout,*) '  Source        df         SS          MS          F',   &
        '        Prob'
      Write (nout,*)
      If (iblock>1) Then
        Write (nout,99998) ' Blocks    ', table(1,1:5)
      End If
      Write (nout,99998) ' Treatments', table(2,1:5)
      Write (nout,99998) ' Residual  ', table(3,1:3)
      Write (nout,99998) ' Total     ', table(4,1:2)
      Write (nout,*)
      Write (nout,*) ' Treatment means'
      Write (nout,*)
      Write (nout,99999) tmean(1:nt)
      Write (nout,*)

!     Extract the residual degrees of freedom
      rdf = table(3,1)

!     Calculate simultaneous CIs
      ifail = 0
      Call g04dbf(typ,nt,tmean,rdf,c,ldc,clevel,cil,ciu,isig,ifail)

!     Display results from G04DBF
      Write (nout,*) ' Simultaneous Confidence Intervals'
      Write (nout,*)
      star(2) = '*'
      star(1) = ' '
      ij = 0
      Do i = 1, nt
        Do j = 1, i - 1
          ij = ij + 1
          Write (nout,99997) i, j, cil(ij), ciu(ij), star(isig(ij)+1)
        End Do
      End Do

99999 Format (10F8.3)
99998 Format (A,3X,F3.0,2X,2(F10.1,2X),F10.3,2X,F9.4)
99997 Format (2X,2I2,3X,2(F10.3,3X),A)
    End Program g04dbfe