NAG Library Manual, Mark 30.2
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NAG FL Interface Introduction
Example description
    Program g04dafe

!     G04DAF Example Program Text

!     Mark 30.2 Release. NAG Copyright 2024.

!     .. Use Statements ..
      Use nag_library, Only: g04bbf, g04daf, nag_wp
!     .. Implicit None Statement ..
      Implicit None
!     .. Parameters ..
      Integer, Parameter               :: nin = 5, nout = 6
!     .. Local Scalars ..
      Real (Kind=nag_wp)               :: gmean, rdf, rms, tol
      Integer                          :: i, iblock, ifail, irdf, ldc, ldct,   &
                                          ldtabl, lit, n, nc, nt
      Logical                          :: usetx
!     .. Local Arrays ..
      Real (Kind=nag_wp), Allocatable  :: bmean(:), c(:,:), ct(:,:), ef(:),    &
                                          est(:), r(:), tabl(:,:), tmean(:),   &
                                          tx(:), wk(:), y(:)
      Integer, Allocatable             :: irep(:), it(:)
      Character (11), Allocatable      :: names(:)
!     .. Intrinsic Procedures ..
      Intrinsic                        :: abs
!     .. Executable Statements ..
      Write (nout,*) 'G04DAF Example Program Results'
      Write (nout,*)

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

!     Read in problem size for G04BBF
      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))

!     Read in the data and plot information for G04BBF
      Read (nin,*) y(1:n)
      If (nt>1) Then
        Read (nin,*) it(1:n)
      End If

!     Don't use TX when calling G04DAF
      usetx = .False.

!     Read in the number of contrasts
      Read (nin,*) nc

!     Using first 4 rows of TABL in G04BBF next NC rows in  G04DAF
      ldtabl = nc + 4

      ldct = nt
      Allocate (ct(ldct,nc),est(nc),tabl(ldtabl,5),tx(nt),names(nc))

!     Read in the contrasts and their names
      Do i = 1, nc
        Read (nin,*) ct(1:nt,i)
        Read (nin,99999) names(i)
      End Do

!     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,tabl,ldtabl,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    ', tabl(1,1:5)
      End If
      Write (nout,99998) ' Treatments', tabl(2,1:5)
      Write (nout,99998) ' Residual  ', tabl(3,1:3)
      Write (nout,99998) ' Total     ', tabl(4,1:2)
      Write (nout,*)

!     Extract the residual mean square and degrees of freedom from ANOVA
!     table
      rms = tabl(3,3)
      rdf = tabl(3,1)

!     Compute sums of squares for contrast
      ifail = -1
      Call g04daf(nt,tmean,irep,rms,rdf,nc,ct,ldct,est,tabl(5,1),ldtabl,tol,   &
        usetx,tx,ifail)
      If (ifail/=0) Then
        If (ifail/=2) Then
          Go To 100
        End If
      End If

!     Display results from G04DAF
      Write (nout,*) ' Orthogonal Contrasts'
      Write (nout,*)
      Write (nout,99998)(names(i),tabl(i+4,1:5),i=1,nc)

100   Continue

99999 Format (A)
99998 Format (A,3X,F3.0,2X,F10.1,2X,F10.1,2X,F10.3,2X,F9.4)
    End Program g04dafe