NAG Library Manual, Mark 28.5
Interfaces:  FL   CL   CPP   AD 

NAG FL Interface Introduction
Example description
    Program g04bbfe

!     G04BBF Example Program Text

!     Mark 28.5 Release. NAG Copyright 2022.

!     .. Use Statements ..
      Use nag_library, Only: g04bbf, nag_wp, x04caf
!     .. Implicit None Statement ..
      Implicit None
!     .. Parameters ..
      Integer, Parameter               :: ldtabl = 4, nin = 5, nout = 6
!     .. Local Scalars ..
      Real (Kind=nag_wp)               :: gmean, tol
      Integer                          :: iblock, ifail, irdf, ldc, lit, n, nt
!     .. Local Arrays ..
      Real (Kind=nag_wp), Allocatable  :: bmean(:), c(:,:), ef(:), r(:),       &
                                          tmean(:), wk(:), y(:)
      Real (Kind=nag_wp)               :: tabl(ldtabl,5)
      Integer, Allocatable             :: irep(:), it(:)
!     .. Intrinsic Procedures ..
      Intrinsic                        :: abs
!     .. Executable Statements ..
      Write (nout,*) 'G04BBF 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))

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

!     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
      Write (nout,*) ' ANOVA table'
      Write (nout,*)
      Write (nout,*) '  Source        df         SS          MS          F',   &
        '        Prob'
      Write (nout,*)
      Write (nout,99998) ' Blocks      ', tabl(1,1:5)
      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,*)
      Write (nout,*) ' Efficiency Factors'
      Write (nout,*)
      Write (nout,99999) ef(1:nt)
      Write (nout,*)
      Write (nout,99997) '  Grand Mean', gmean
      Write (nout,*)
      Write (nout,*) ' Treatment Means'
      Write (nout,*)
      Write (nout,99999) tmean(1:nt)
      Write (nout,*)
      Flush (nout)
      ifail = 0
      Call x04caf('Lower','B',nt,nt,c,ldc,                                     &
        'Standard errors of differences between means',ifail)

99999 Format (8F10.2)
99998 Format (A,3X,F3.0,2X,3(F10.2,2X),F9.4)
99997 Format (A,F10.2)
    End Program g04bbfe