freq(3f) - [M_datapac:STATISTICS] compute the sample frequency and
cumulative sample frequency of a vector
SUBROUTINE FREQ(X,N)
REAL(kind=wp),intent(in) :: X(:)
INTEGER,intent(in) :: N
freq(3f) computes the sample frequency and sample cumulative frequency
for the data in the input vector x.
X The vector of (unsorted or sorted) observations.
N The integer number of observations in the vector X.
The maximum allowable value of N for this subroutine is 15000.
Several (for large data sets) pages of automatic plots (with
approximately 55 values per page) consisting of an ordered listing
of each distinct value in the data set along with the frequency of
occurance of that value and the cumulative frequency.
Sample program:
program demo_freq
use M_datapac, only : freq
implicit none
! call freq(x,y)
end program demo_freq
Results:
The original DATAPAC library was written by James Filliben of the
Statistical Engineering Division, National Institute of Standards
and Technology.
John Urban, 2022.05.31
CC0-1.0
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=wp), | intent(in) | :: | X(:) | |||
| integer, | intent(in) | :: | N |
| Type | Attributes | Name | Initial | |||
|---|---|---|---|---|---|---|
| real | :: | WS(15000) |
SUBROUTINE FREQ(X,N) REAL(kind=wp),intent(in) :: X(:) INTEGER,intent(in) :: N REAL(kind=wp) :: an, cfreq, dvalue, frq, hold, pcfreq, pfreq, s, sum, WS, xbar, Y INTEGER i, icfreq, iflag, ifreq, ip1, iupper, ndv, nm1, numseq DIMENSION Y(15000) COMMON /BLOCK2_real32/ WS(15000) EQUIVALENCE (Y(1),WS(1)) ! iupper = 15000 ! ! CHECK THE INPUT ARGUMENTS FOR ERRORS ! IF ( N<1 .OR. N>iupper ) THEN WRITE (G_IO,99001) iupper 99001 FORMAT (' ***** FATAL ERROR--THE SECOND INPUT ARGUMENT TO FREQ(3f) IS OUTSIDE THE ALLOWABLE (1,',& & I0,') INTERVAL *****') WRITE (G_IO,99002) N 99002 FORMAT (' ','***** THE VALUE OF THE ARGUMENT IS ',I0,' *****') RETURN ELSEIF ( N==1 ) THEN WRITE (G_IO,99003) 99003 FORMAT (' ***** FATAL ERROR-- THE SECOND INPUT ARGUMENT TO FREQ(3f) HAS THE VALUE 1 *****') RETURN ELSE hold = X(1) DO i = 2 , N IF ( X(i)/=hold ) GOTO 50 ENDDO WRITE (G_IO,99004) hold 99004 FORMAT (' ***** NON-FATAL DIAGNOSTIC--THE FIRST INPUT ARGUMENT (A VECTOR) TO FREQ(3f) HAS ALL ELEMENTS = ', & & E15.8,' *****') ! !-----START POINT----------------------------------------------------- ! 50 an = N ! ! COMPUTE THE SAMPLE MEAN AND SAMPLE STANDARD DEVIATION ! sum = 0.0_wp DO i = 1 , N sum = sum + X(i) ENDDO xbar = sum/an sum = 0.0_wp DO i = 1 , N sum = sum + (X(i)-xbar)**2 ENDDO s = SQRT(sum/(an-1.0_wp)) ! WRITE (G_IO,99005) 99005 FORMAT ('1') WRITE (G_IO,99006) ! 99006 FORMAT (' ',18X,'SAMPLE FREQUENCY AND SAMPLE CUMULATIVE FREQUENCY') WRITE (G_IO,99014) WRITE (G_IO,99007) N 99007 FORMAT (' ',27X,'THE SAMPLE SIZE N = ',I0) WRITE (G_IO,99008) xbar 99008 FORMAT (' ',25X,'THE SAMPLE MEAN = ',E15.8) WRITE (G_IO,99009) s 99009 FORMAT (' ',20X,'THE SAMPLE STANDARD DEVIATION = ',E15.8) WRITE (G_IO,99014) WRITE (G_IO,99014) WRITE (G_IO,99010) 99010 FORMAT (' INDEX VALUE FREQUENCY PERCENTAGE CUMULATIVE PERCENTAGE') 99011 FORMAT (' FREQUENCY FREQUENCY CUMULATIVE') 99012 FORMAT (' FREQUENCY ') WRITE (G_IO,99011) WRITE (G_IO,99012) WRITE (G_IO,99014) ! CALL SORT(X,N,Y) ndv = 0 icfreq = 0 numseq = 1 nm1 = N - 1 DO i = 1 , nm1 ip1 = i + 1 IF ( Y(i)==Y(ip1) ) numseq = numseq + 1 IF ( Y(i)/=Y(ip1) ) THEN ndv = ndv + 1 dvalue = Y(i) ifreq = numseq icfreq = icfreq + ifreq frq = ifreq cfreq = icfreq pfreq = 100.0_wp*frq/an pcfreq = 100.0_wp*cfreq/an WRITE (G_IO,99013) ndv , dvalue , ifreq , pfreq , icfreq , pcfreq iflag = ndv - 10*(ndv/10) IF ( iflag==0 ) WRITE (G_IO,99014) numseq = 1 ENDIF ENDDO ndv = ndv + 1 dvalue = Y(N) ifreq = numseq icfreq = icfreq + ifreq frq = ifreq cfreq = icfreq pfreq = 100.0_wp*frq/an pcfreq = 100.0_wp*cfreq/an WRITE (G_IO,99013) ndv , dvalue , ifreq , pfreq , icfreq , pcfreq iflag = ndv - 10*(ndv/10) IF ( iflag==0 ) WRITE (G_IO,99014) ENDIF 99013 FORMAT (' ',I8,4X,E17.10,3X,I8,6X,F8.4,10X,I8,6X,F8.4) 99014 FORMAT (' ') END SUBROUTINE FREQ