PROGRAM BT5_13
	PARAMETER (NMAX=100,MMAX=10)
	DIMENSION X(NMAX*MMAX)
	DIMENSION A(MMAX)
	INTEGER N,M
	CHARACTER ANSWER*30
	DATA ALFA /0.05/

	OPEN(1,FILE='C:\MASTER\G_TR\Bai Tap TK trong KH\New\BANG17.TXT')
	READ(1,*)
	READ(1,*)
	READ(1,*) N,M
	DO I=1,N
	   L=(M-1)*N+I
	   READ(1,*) TMP,(X(J),J=I,L,N)
	ENDDO

	FALFA=FINV(ALFA,1.0,REAL(N-2))
	CALL REGRE(X,N,M,A,S,Q,U,RR,F)
	IF (F.GT.FALFA) THEN
	    ANSWER='P.TRINH HOI QUI DUNG DUOC'
	ELSE
	    ANSWER='P.TRINH HOI QUI KHONG DUNG DUOC'
	ENDIF
	WRITE(*,'("  PHUONG TRINH HOI QUI TUYEN TINH BOI")')
	WRITE(*,*)'      CAC HE SO HOI QUI'
	WRITE(*,'(4("     A",I1,"=",F8.4))')((I,A(I)),I=1,M)      
	WRITE(*,'("TONG BINH PHUONG BIEN SAI HOI QUI  U=",F12.4)') U
	WRITE(*,'("TONG BINH PHUONG BIEN SAI THANG DU Q=",F12.4)') Q
	WRITE(*,'("SAI SO CHUAN                       S=",F12.4)') S
	WRITE(*,'("HE SO TUONG QUAN BOI               R=",F12.4)') RR
	WRITE(*,'("TRI SO BIEN FISHER                 F=",F12.4)') F
	WRITE(*,'("DUNG LUONG MAU   N=                  ",I3)') N
	WRITE(*,'("SO BAC TU DO CUA U=                  ",I3)') M-1
	WRITE(*,'("SO BAC TU DO CUA Q=                  ",I3)') N-M
	WRITE(*,'("KET QUA KIEM NGHIEM:",A30)') ANSWER
	PAUSE

	END

!+++++++++++++++++++++

	SUBROUTINE REGRE(X,N,M,A,S,Q,U,RR,F)
! CHUONG TRINH NAY TINH CAC HE SO HOI QUI CUA PHUONG TRINH
! HOI QUI GIUA X1 VA CAC X2,...,XM VA XAC DINH CAC DAI LUONG
! CHO PHAN TICH PHUONG SAI
! DANG PHUONG TRINH HQ: X1=A1+A2*X2+...+AM*XM
!
! INPUT: + X MANG MOT CHIEU KICH THUOC N*M LUU TRU SO LIEU
!            QUAN TRAC CUA CAC X1..XM (LUU THEO COT)
!        + N DUNG LUONG MAU
!        + M SO BIEN (1 BIEN PHU THUOC VA M-1 BIEN DOC LAP)
!        + A MANG MOT CHIEU KICH THUOC M LUU CAC HE SO
!            A1, A2,..., AM
!        + S SAI SO CHUAN (CHUAN SAI THANG DU)
!        + Q TONG BINH PHUONG CAC BIEN SAI THANG DU
!        + U TONG BINH PHUONG CAC BIEN SAI HOI QUI
!        + RR HE SO TUONG QUAN BOI
!        + F BIEN CO PHAN BO FISHER
!
	DIMENSION X(N*M),A(M)
	DIMENSION R(M*M),RXX(M*M),RY(M),TB(M),RX(M*M)

	CALL COVAR(X,N,M,R,TB)
	L=0
	J=0
	DO I=M+1,M*M
	   IF (MOD(I,M).NE.1) THEN
	      L=L+1
	      RXX(L)=R(I)
	   ELSE
	      J=J+1
	      RY(J)=R(I)
	   ENDIF
	ENDDO
	RX=RXX
	CALL MINVERT(RX,M-1)
	CALL MULTIP(RX,RY,A,M-1,M-1,1)
	TMP=0.0
	DO J=1,M-1
	   TMP=TMP+A(J)*TB(J+1)
	ENDDO
	TMP=TB(1)-TMP
	DO J=M,2,-1
	   A(J)=A(J-1)
	ENDDO
	A(1)=TMP
	
	RX=R
	D=DET(RX,M)
	RX=R
	D11=PPDS(RX,M,1,1)
	TMP=D/D11

	RR=SQRT(1-TMP/R(1))

	Q=0.0
	DO I=1,N
	   YHQ=0.0
	   DO J=2,M
	      IJ=(J-1)*N+I
	      YHQ=YHQ+A(J)*X(IJ)
	   ENDDO
	   YHQ=YHQ+A(1)
	   TMP=X(I)-YHQ
	   Q=Q+TMP*TMP
	ENDDO
	U=REAL(N)*R(1)-Q
	F=U*REAL(N-M)/(Q*REAL(M-1))
	S=SQRT(Q/REAL(N-M))

	RETURN
	END

	SUBROUTINE COVAR(X,N,M,R,TB)
! CHUONG TRINH NAY TINH MA TRAN TUONG QUAN (MA TRAN COVARIANCE)
! CUA TAP M BIEN
! INPUT: + X MANG MOT CHIEU KICH THUOC N*M (N HANG, M COT)
!          LUU TRU SO LIEU CUA X THEO COT
!        + N SO HANG (DUNG LUONG MAU) CUA X
!        + M SO COT (SO BIEN)
! OUTPUT: + R MANG MOT CHIEU KICH THUOC (M*M) CHUA CAC 
!           MOMEN TUONG QUAN (COVARIANCE) GIUA CAC BIEN
!         + TB MANG MOT CHIEU KICH THUOC M CHUA TRUNG BINH CAC BIEN
!
	DIMENSION X(N*M),XX(N,M),R(M*M),RR(M,M),TB(M)

	K=0
	DO J=1,M
	   TB(J)=0.0
	   DO I=1,N
	      K=K+1
	      TB(J)=TB(J)+X(K)
	      XX(I,J)=X(K)
	   ENDDO
	   TB(J)=TB(J)/REAL(N)
	ENDDO
	DO J=1,M
	   DO K=J,M
	      RR(J,K)=0.0
	      DO I=1,N
	         RR(J,K)=RR(J,K)+(XX(I,J)-TB(J))*(XX(I,K)-TB(K))
	      ENDDO
	      RR(J,K)=RR(J,K)/REAL(N)
	      RR(K,J)=RR(J,K)
	   ENDDO
	ENDDO
	L=0
	DO K=1,M
	   DO J=1,M
	      L=L+1
		  R(L)=RR(J,K)
	   ENDDO
	ENDDO	
	RETURN
	END

	SUBROUTINE MINVERT(AA,N)
! CHUONG TRINH NAY TINH MA TRAN NGHICH DAO CUA MA TRAN A
! INPUT: + AA MANG MOT CHIEU KICH THUOC N*N LUU THEO COT CUA A
!        + N SO HANG/COT CUA MA TRAN A
! OUTPUT: AA MA TRAN NGHICH DAO CUA A
!
	DIMENSION AA(N*N), A(N,N)

	K=0
	DO J=1,N
	   DO I=1,N
	      K=K+1
	      A(I,J)=AA(K)
	   ENDDO
	ENDDO
	M=N-1
	DO 10 I=1,N
	   R=A(I,1)
	   DO K=1,M
	      A(I,K)=A(I,K+1)/R
	   ENDDO
	   A(I,N)=1.0/R
	   DO 10 J=1,N
	      IF (I.NE.J) THEN
	         R=A(J,1)
	         DO K=1,M
	            A(J,K)=A(J,K+1)-R*A(I,K)
	         ENDDO
	         A(J,N)=-R*A(I,N)
	      ENDIF
  10  CONTINUE
	K=0
	DO J=1,N
	   DO I=1,N
	      K=K+1
	      AA(K)=A(I,J)
	   ENDDO
	ENDDO
	RETURN
	END

	SUBROUTINE MULTIP(A,B,C,N,M,L)
! CHUONG TRINH NAY TINH TICH CUA HAI MA TRAN
! INPUT: + A MANG MOT CHIEU KICH THUOC N*M (N HANG, M COT)
!            LUU MA TRAN A THEO COT
!        + B MANG MOT CHIEU KICH THUOC M*L (M HANG, L COT)
!            LUU MA TRAN B THEO COT
!        + N SO HANG CUA MA TRAN A
!        + M SO COT CUA A VA LA SO HANG CUA B
!        + L SO COT CUA B
! OUTPUT: + C MANG MOT CHIEU KICH THUOC N*L (N HANG, L COT)
!             LUU MA TRAN C THEO COT

	DIMENSION A(N*M),B(M*L),C(N*L)

	DO I=1,N
	DO K=1,L
	   IK=(K-1)*N+I
	   C(IK)=0.0
	   DO J=1,M
	      IJ=(J-1)*N+I   !(I-1)*M+J
	      JK=(K-1)*M+J
	      C(IK)=C(IK)+A(IJ)*B(JK)
	   ENDDO
	ENDDO
	ENDDO

	RETURN
	END
		
	FUNCTION PPDS(A,N,IR,JC)
!
! HAM NAY TINH PHAN PHU DAI SO CUA PHAN TU B(IR,JC)
! (HANG IR, COT JC) CUA MA TRAN B(NxN) MA CAC PHAN TU
! CUA NO DUOC LUU TRONG MANG A(N*N) THEO QUI CACH COT
! TRUOC DONG SAU
! INPUT: + MANG A(N*N) CHUA MA TRAN DAU VAO CUA B
!        + N KICH THUOC CUA B
!        + IR CHI SO HANG
!        + JC CHI SO COT
! OUTPUT: PHAN PHU DAI SO CUA PHAN TU HANG IR COT JC
!
	DIMENSION A(N*N), B(N,N)
	K=0
	DO J=1,N
	   DO I=1,N
	      K=K+1
	      B(I,J)=A(K)
	   ENDDO
	ENDDO
	
	K=0
	DO J=1,N
	   IF (J.NE.JC) THEN
	   DO I=1,N
	      IF (I.NE.IR) THEN
	         K=K+1
	         A(K)=B(I,J)
	      ENDIF
	   ENDDO
	   ENDIF
	ENDDO
	
	PPDS=DET(A,N-1)*(-1)**(IR+JC)
	RETURN
	END


	FUNCTION DET(X,N)
! HAM NAY TINH DINH THUC CUA MA TRAN A(N,N)
! INPUT: + MANG X DO DAI N*N CHUA CAC PHAN TU CUA MA TRAN A
!        + N KICH THUOC MA TRAN A
!   CHU Y: X(1)=A(1,1), X(2)=A(2,1),..., X(N)=A(N,1),X(N+1)=A(1,2),
!          X(N+2)=A(2,2),...
! OUTPUT: DINH THUC CUA A
!
	PARAMETER (EP=1.0E-6)
	DIMENSION X(N*N),A(N,N)
	K=0
	DO J=1,N
	   DO I=1,N
	      K=K+1
	      A(I,J)=X(K)
	   ENDDO
	ENDDO
	D=1.0
	N1=N-1
	DO 10 K=1,N1
	   AM=0.0
	   DO 11 I=K,N
	      T=A(I,K)
	      IF (ABS(T).GE.ABS(AM)) THEN
	         AM=T
	         J=I
	      ENDIF
  11     CONTINUE
         IF (ABS(AM).LE.EP) THEN
	      DT=0.0
	      DET=DT
	      RETURN
	   ELSE
	      IF (J.NE.K) THEN
	         D=-D
	         DO I=K,N
	            T=A(J,I)
	            A(J,I)=A(K,I)
	            A(K,I)=T
	         ENDDO
	      ENDIF
	   ENDIF
	   M=K+1
	   DO I=M,N
	      T=A(I,K)/AM
	      DO J=M,N
	         A(I,J)=A(I,J)-T*A(K,J)
		  ENDDO
	   ENDDO
	   D=D*A(K,K)
  10  CONTINUE
      DT=D*A(N,N)
	DET=DT
	RETURN
	END

	  FUNCTION FINV(P,N1,N2)
! HAM NAY TINH GIA TRI X0 CUA BIEN NGAU NHIEN X PHAN BO 
! FISHER (F) VOI N1 VA N2 BAC TU DO THOA MAN DIEU KIEN 
! P(X>X0)=P.
! INPUT: + P XAC SUAT DE X>X0 (P(X>X0)=P)
!        + N1 VA N2 LA SO BAC TU DO, PHAI LA NHUNG SO THUC
! OUTPUT: X0
! SUBROUTINE/FUNCTION DUOC GOI TOI: FDIST
	  PARAMETER (EPS=1.0E-6)
	  REAL P,AP,N1,N2, A,B,C,P0,SS,SS1
	  IF (P.LT.0.0.OR.P.GT.1.0) THEN
	     WRITE(*,*)' INVALID NUMERIC INPUT IN FINV FUNCTION'
		 STOP
	  ENDIF
	  IF (P.EQ.0.0) THEN
		 WRITE(*,*)' THE P VALUE TOO SMALL IN FINV FUNCTION'
		 STOP
	  ELSE IF (P.EQ.1) THEN
	     FINV=0.0
		 RETURN
	  ENDIF
!
	  A=0.0
	  B=9999999.0
	  C=A
	  AP=P

 10	  P0=FDIST(B,N1,N2)
	  SS=ABS((P0-AP)/AP)
	  SS1=ABS((B-C)/B)
!	  PRINT*,'P0=',P0,' SS=',SS,' B=',B,' C=',C
	  IF (SS.GE.EPS.AND.SS1.GE.EPS) THEN
	     IF (AP.GT.P0) THEN
		    C=B
			B=(A+B)/2.0
			GOTO 10
		  ELSE IF (AP.LT.P0) THEN
			B=(C+B)/2.0
			GOTO 10
		  ENDIF
	  ENDIF
	  A=(C+B)/2.0
      FINV=A
	  RETURN
	  END


	  FUNCTION FDIST(X0,N1,N2)
! HAM NAY TINH XAC SUAT DE BIEN NGAU NHIEN X CO PHAN BO FISHER
! VOI N1 VA N2 BAC TU DO NHAN GIA TRI >X0:
! P=P(X>X0)=1-P(X<X0)
! INPUT: + X0 MOT GIA TRI NAO DO CUA X
!        + N1,N2 SO BAC TU DO, PHAI LA NHUNG SO THUC
! SUBROUTINE/FUNCTION DUOC GOI TOI: BETAI
!
	  REAL X0,N1,N2,X
	  X=N2/(N2+N1*X0)
	  FDIST=BETAI(0.5*N2,0.5*N1,X)
	  RETURN
	  END 

      FUNCTION betai(a,b,x)
      REAL betai,a,b,x
!CU    USES betacf,gammln
      REAL bt,betacf,gammln
      if(x.lt.0..or.x.gt.1.)pause 'bad argument x in betai'
      if(x.eq.0..or.x.eq.1.)then
        bt=0.
      else
        bt=exp(gammln(a+b)-gammln(a)-gammln(b)+a*log(x)+b*log(1.-x))
      endif
      if(x.lt.(a+1.)/(a+b+2.))then
        betai=bt*betacf(a,b,x)/a
        return
      else
        betai=1.-bt*betacf(b,a,1.-x)/b
        return
      endif
      END

      FUNCTION betacf(a,b,x)
      INTEGER MAXIT
      REAL betacf,a,b,x,EPS,FPMIN
      PARAMETER (MAXIT=100,EPS=3.e-7,FPMIN=1.e-30)
      INTEGER m,m2
      REAL aa,c,d,del,h,qab,qam,qap
      qab=a+b
      qap=a+1.
      qam=a-1.
      c=1.
      d=1.-qab*x/qap
      if(abs(d).lt.FPMIN)d=FPMIN
      d=1./d
      h=d
      do 11 m=1,MAXIT
        m2=2*m
        aa=m*(b-m)*x/((qam+m2)*(a+m2))
        d=1.+aa*d
        if(abs(d).lt.FPMIN)d=FPMIN
        c=1.+aa/c
        if(abs(c).lt.FPMIN)c=FPMIN
        d=1./d
        h=h*d*c
        aa=-(a+m)*(qab+m)*x/((a+m2)*(qap+m2))
        d=1.+aa*d
        if(abs(d).lt.FPMIN)d=FPMIN
        c=1.+aa/c
        if(abs(c).lt.FPMIN)c=FPMIN
        d=1./d
        del=d*c
        h=h*del
        if(abs(del-1.).lt.EPS)goto 1
11    continue
      pause 'a or b too big, or MAXIT too small in betacf'
1     betacf=h
      return
      END

      FUNCTION gammq(a,x)
      REAL a,gammq,x
!CU    USES gcf,gser
      REAL gammcf,gamser,gln
      if(x.lt.0..or.a.le.0.)pause 'bad arguments in gammq'
      if(x.lt.a+1.)then
        call gser(gamser,a,x,gln)
        gammq=1.-gamser
      else
        call gcf(gammcf,a,x,gln)
        gammq=gammcf
      endif
      return
      END

      SUBROUTINE gcf(gammcf,a,x,gln)
      INTEGER ITMAX
      REAL a,gammcf,gln,x,EPS,FPMIN
      PARAMETER (ITMAX=100,EPS=3.e-7,FPMIN=1.e-30)
!CU    USES gammln
      INTEGER i
      REAL an,b,c,d,del,h,gammln
      gln=gammln(a)
      b=x+1.-a
      c=1./FPMIN
      d=1./b
      h=d
      do 11 i=1,ITMAX
        an=-i*(i-a)
        b=b+2.
        d=an*d+b
        if(abs(d).lt.FPMIN)d=FPMIN
        c=b+an/c
        if(abs(c).lt.FPMIN)c=FPMIN
        d=1./d
        del=d*c
        h=h*del
        if(abs(del-1.).lt.EPS)goto 1
11    continue
      pause 'a too large, ITMAX too small in gcf'
1     gammcf=exp(-x+a*log(x)-gln)*h
      return
      END


      SUBROUTINE gser(gamser,a,x,gln)
      INTEGER ITMAX
      REAL a,gamser,gln,x,EPS
      PARAMETER (ITMAX=100,EPS=3.e-7)
!CU    USES gammln
      INTEGER n
      REAL ap,del,sum,gammln
      gln=gammln(a)
      if(x.le.0.)then
        if(x.lt.0.)pause 'x < 0 in gser'
        gamser=0.
        return
      endif
      ap=a
      sum=1./a
      del=sum
      do 11 n=1,ITMAX
        ap=ap+1.
        del=del*x/ap
        sum=sum+del
        if(abs(del).lt.abs(sum)*EPS)goto 1
11    continue
      pause 'a too large, ITMAX too small in gser'
1     gamser=sum*exp(-x+a*log(x)-gln)
      return
      END

      FUNCTION gammln(xx)
      REAL gammln,xx
      INTEGER j
      DOUBLE PRECISION ser,stp,tmp,x,y,cof(6)
      SAVE cof,stp
      DATA cof,stp/76.18009172947146d0,-86.50532032941677d0, 
     & 24.01409824083091d0,-1.231739572450155d0,.1208650973866179d-2, 
     & -.5395239384953d-5,2.5066282746310005d0/
      x=xx
      y=x
      tmp=x+5.5d0
      tmp=(x+0.5d0)*log(tmp)-tmp
      ser=1.000000000190015d0
      do 11 j=1,6
        y=y+1.d0
        ser=ser+cof(j)/y
11    continue
      gammln=tmp+log(stp*ser/x)
      return
      END