Program g11cafe

!     G11CAF Example Program Text

!     Mark 29.3 Release. NAG Copyright 2023.

!     .. Use Statements ..
      Use nag_library, Only: g11caf, nag_wp
!     .. Implicit None Statement ..
      Implicit None
!     .. Parameters ..
      Integer, Parameter               :: nin = 5, nout = 6
!     .. Local Scalars ..
      Real (Kind=nag_wp)               :: dev, tol
      Integer                          :: cm, i, ifail, ip, iprint, ldz, lwk,  &
                                          m, maxit, n, n0, ns
!     .. Local Arrays ..
      Real (Kind=nag_wp), Allocatable  :: b(:), cov(:), sc(:), se(:), wk(:),   &
                                          z(:,:)
      Integer, Allocatable             :: cnt(:), ic(:), isi(:), isz(:),       &
                                          nca(:), nct(:)
!     .. Intrinsic Procedures ..
      Intrinsic                        :: count, maxval, sum
!     .. Executable Statements ..
      Write (nout,*) 'G11CAF Example Program Results'
      Write (nout,*)

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

!     Read in problem size and control parameters
      Read (nin,*) n, m, ns, maxit, iprint, tol

      ldz = n
      Allocate (z(ldz,m),isz(m),ic(n),isi(n),nca(ns),nct(ns),cnt(ns))

!     Read in data
      Read (nin,*)(isi(i),ic(i),z(i,1:m),i=1,n)

!     Read in variable inclusion flags
      Read (nin,*) isz(1:m)

!     Calculate IP
      ip = count(isz(1:m)>0)

!     Calculate number of observations in the model and maximum number of
!     observations in any stratum
      cnt(1:ns) = 0
      Do i = 1, n
        If (isi(i)>0 .And. isi(i)<=ns) Then
          cnt(isi(i)) = cnt(isi(i)) + 1
        End If
      End Do
      cm = maxval(cnt(1:ns))
      n0 = sum(cnt(1:ns))

      lwk = ip*n0 + (cm+1)*(ip+1)*(ip+2)/2 + cm
      Allocate (b(ip),se(ip),sc(ip),cov(ip*(ip+1)/2),wk(lwk))

!     Read in initial estimate for B
      Read (nin,*) b(1:ip)

!     Calculate parameter estimates
      ifail = 0
      Call g11caf(n,m,ns,z,ldz,isz,ip,ic,isi,dev,b,se,sc,cov,nca,nct,tol,      &
        maxit,iprint,wk,lwk,ifail)

!     Display results
      Write (nout,99999) ' Deviance = ', dev
      Write (nout,*)
      Write (nout,*) ' Strata     No. Cases   No. Controls'
      Write (nout,*)
      Write (nout,99998)(i,nca(i),nct(i),i=1,ns)
      Write (nout,*)
      Write (nout,*) ' Parameter      Estimate', '       Standard Error'
      Write (nout,*)
      Write (nout,99997)(i,b(i),se(i),i=1,ip)

99999 Format (A,E13.4)
99998 Format (3X,I3,10X,I2,10X,I2)
99997 Format (I6,10X,F8.4,10X,F8.4)
    End Program g11cafe