NAG Library Manual, Mark 28.7
```    Program g03gafe

!     G03GAF Example Program Text
!     Mark 28.7 Release. NAG Copyright 2022.

!     .. Use Statements ..
Use nag_library, Only: g03gaf, nag_wp, x04caf
!     .. Implicit None Statement ..
Implicit None
!     .. Parameters ..
Integer, Parameter               :: nin = 5, nout = 6
!     .. Local Scalars ..
Real (Kind=nag_wp)               :: loglik, tol
Integer                          :: i, ifail, ldprob, lds, ldx, m, n,    &
ng, niter, nvar, popt, riter, sds,   &
sopt
!     .. Local Arrays ..
Real (Kind=nag_wp), Allocatable  :: f(:,:), g(:,:), prob(:,:), s(:,:,:), &
w(:), x(:,:)
Integer, Allocatable             :: isx(:)
!     .. Executable Statements ..
Write (nout,*) 'G03GAF Example Program Results'
Write (nout,*)
Flush (nout)

!     Skip heading in data file

!     Problem size

!     Number of groups

!     Scaling option

!     Initial probabilities option

!     Maximum number of iterations

ldx = n
ldprob = n

Select Case (sopt)
Case (1)
Allocate (s(nvar,nvar,ng))
lds = nvar
sds = nvar
Case (2)
Allocate (s(nvar,nvar,1))
lds = nvar
sds = nvar
Case (3)
Allocate (s(nvar,ng,1))
lds = nvar
sds = ng
Case (4)
Allocate (s(nvar,1,1))
lds = nvar
sds = 1
Case Default
Allocate (s(1,1,1))
lds = 1
sds = 1
End Select

Allocate (x(ldx,m),prob(ldprob,ng),g(nvar,ng),w(ng),isx(m),f(n,ng))

!     Data matrix X

!     Included variables
If (nvar/=m) Then
End If

!     Optionally read initial probabilities of group membership
If (popt==2) Then
End If

tol = 0.0E0_nag_wp
riter = 5

ifail = 0
Call g03gaf(n,m,x,ldx,isx,nvar,ng,popt,prob,ldprob,niter,riter,w,g,sopt, &
s,lds,sds,f,tol,loglik,ifail)

!     Results
Write (nout,*)
Flush (nout)
ifail = 0
Call x04caf('g','n',1,ng,w,1,'Mixing proportions',ifail)

Write (nout,*)
Flush (nout)
ifail = 0
Call x04caf('g','n',nvar,ng,g,nvar,'Group means',ifail)

Write (nout,*)
Flush (nout)
Select Case (sopt)
Case (1)
Do i = 1, ng
ifail = 0
Call x04caf('g','n',nvar,nvar,s(1,1,i),lds,                          &
'Variance-covariance matrix',ifail)
End Do
Case (2)
ifail = 0
Call x04caf('g','n',nvar,nvar,s,lds,                                   &
'Pooled Variance-covariance matrix',ifail)
Case (3)
ifail = 0
Call x04caf('g','n',nvar,ng,s,lds,'Groupwise Variance',ifail)
Case (4)
ifail = 0
Call x04caf('g','n',nvar,1,s,lds,'Pooled Variance',ifail)
Case (5)
ifail = 0
Call x04caf('g','n',1,1,s,lds,'Overall Variance',ifail)
End Select

Write (nout,*)
Flush (nout)
ifail = 0
Call x04caf('g','n',n,ng,f,n,'Densities',ifail)

Write (nout,*)
Flush (nout)
ifail = 0
Call x04caf('g','n',n,ng,prob,n,'Membership probabilities',ifail)

Write (nout,*)
Write (nout,'(1X,A,1X,I16)') 'No. iterations:', niter

Write (nout,'(1X,A,1X,F16.4)') 'Log-likelihood:', loglik

Deallocate (x,prob,g,s,w,isx,f)
End Program g03gafe
```