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decus_20tap2_198111
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decus/20-0047/xtab.for
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C PROGRAM XTAB
C
C DESCRIPTION
C THIS PROGRAM CROSS-TABULATES PAIRS OF VARIABLES (WITH OR WITHOUT
C A CONTROL VARIABLE) GIVING FREQUENCIES, PERCENTAGES, OR OTHER
C STATISTICS DESIRED BY THE USER.
C
C SOURCE
C NORMAN W. JOHNSON, DEPARTMENT OF MATHEMATICS, WHEATON COLLEGE,
C NORTON, MASS.
C
C INSTRUCTIONS
C THE USER MAY ENTER OR ANALYZE DATA BY GIVING ONE OF THE COMMANDS
C "INPUT", "OUTPUT", OR "ZERO" OR MAY TERMINATE THE EXECUTION OF
C THE PROGRAM BY TYPING "STOP".
C
C THE COMMAND "INPUT" (OPTIONALLY FOLLOWED BY THE TABLE SIZE) EN-
C ABLES THE USER TO ENTER A HYPOTHETICAL FREQUENCY TABLE FOR TWO
C OR THREE VARIABLES TO BE CROSS-TABULATED. ONE OR MORE OUTPUT
C OPTIONS MUST BE SELECTED AND THE APPROPRIATE CODE NUMBERS EN-
C TERED. THE FOLLOWING OPTIONS ARE AVAILABLE:
C 1--FREQUENCY OF RESPONSES
C 2--PERCENTAGES ACROSS
C 3--PERCENTAGES DOWN
C 4--PERCENTAGES OF TOTAL
C 5--CHI-SQUARE, DEGREES OF FREEDOM, AND PROBABILITY
C 6--GOODMAN AND KRUSKAL'S TAU
C 7--YULE'S Q OR GOODMAN AND KRUSKAL'S GAMMA
C 8--PHI COEFFICIENT OR KENDALL'S TAU
C 9--SOMER'S D
C
C THE COMMAND "OUTPUT" PERMITS THE USER TO KEEP THE DATA OF THE
C LAST CROSS-TABULATION BUT TO CHANGE THE OUTPUT OPTIONS.
C
C THE COMMAND "ZERO", GIVEN AFTER A CROSS-TABULATION INVOLVING A
C CONTROL VARIABLE, PRODUCES THE CORRESPONDING ZERO-ORDER STATIS-
C TICS.
C
C AFTER ANY OF THE ABOVE COMMANDS IS CARRIED OUT, A NEW COMMAND
C MAY BE GIVEN. THE USER MAY SUPPRESS THE PRINTING OF TABLES OR
C ANY OTHER OUTPUT IN ORDER TO GIVE A NEW COMMAND IMMEDIATELY BY
C TYPING <CTRL>O AND PRESSING <RETURN>. FURTHER EXECUTION OF A
C COMMAND MAY BE HALTED AT ANY BREAK POINT BY TYPING "ABORT".
C
C WHENEVER THE USER IS EXPECTED TO GIVE A COMMAND OR TO PROVIDE
C CERTAIN INFORMATION NEEDED FOR THE EXECUTION OF A COMMAND, AN
C EXPLANATION OF WHAT IS REQUIRED MAY BE OBTAINED BY TYPING THE
C WORD "EXPLAIN" OR SIMPLY A QUESTION MARK.
C
C THIS PROGRAM ASSUMES THAT OUTPUT IS TO THE USER TERMINAL. IF
C OUTPUT TO A FILE ON THE DISK IS DESIRED INSTEAD, THE DISK SHOULD
C BE ASSIGNED LOGICAL UNIT 5 PRIOR TO RUNTIME.
C
C REMARKS
C THE COMPUTED VALUE OF CHI-SQUARE WITH ONE DEGREE OF FREEDOM
C INCORPORATES A CORRECTION FOR CONTINUITY. THE CALCULATION OF
C CHI-SQUARE IS ACCOMPANIED BY A WARNING IF THE EXPECTED FREQUENCY
C IS LESS THAN 1 IN ANY CELL OR LESS THAN 5 IN MORE THAN 20 PER
C CENT OF THE CELLS. KENDALL'S TAU HAS A CORRECTION FOR TIES.
C
C REFERENCES
C JAMES A. DAVIS, 'ELEMENTARY SURVEY ANALYSIS', PRENTICE-HALL,
C ENGLEWOOD CLIFFS, N.J., 1971.
C JOHAN GALTUNG, 'THEORY AND METHODS OF SOCIAL RESEARCH', COLUMBIA
C UNIVERSITY PRESS, NEW YORK, 1967.
C E. TERRENCE JONES, 'CONDUCTING POLITICAL RESEARCH', HARPER &
C ROW, NEW YORK, 1971.
C
C ..................................................................
C
INTEGER A(48),TODAY(2),BLANK,ROW,COL
INTEGER L(0/3),H(0/3),R(9)
INTEGER X(2),IA(10)
REAL POS,NEG
LOGICAL OPT(0/9),ERROR,ZERO,BLURB
DIMENSION NUM(0/9,0/9,0/9),PCT(0/9,0/9)
DIMENSION NSUB(0/2,0/9,0/9),PSUB(2,0/9)
DIMENSION NTOT(0/9),TOT(0/9)
DIMENSION J1A(10),J2A(10)
EQUIVALENCE (Q,GAMMA)
COMMON ENTRY(0/13),LIST
DATA I1,I2 /1,2/, X /2*' '/
OPT(0) = .TRUE.
BLANK = 17315143744
CALL TIME(NOW)
LIST = NOW-851968
CALL DATE(TODAY)
TYPE 1, NOW,TODAY
1 FORMAT (' XTAB ',8X,A5,9X,2A5///)
3 FORMAT (12A5)
32 FORMAT (//A5)
33 FORMAT (8X,A5)
34 FORMAT ('+'/$)
10 FORMAT (10I)
101 FORMAT (9I1,9L1)
GO TO 202
C
C ENTER COMMAND.
200 TYPE 201
201 FORMAT ('1')
202 TYPE 203
203 FORMAT (' ENTER COMMAND: ',$)
ACCEPT 3, (ENTRY(N),N=1,12)
CALL DECODE
READ (20,3) ANS,SAVE
IF (ANS.EQ.' ') GO TO 200
IF (ANS.EQ.'XTAB') GO TO 202
IF (ANS.EQ.'DETAI') GO TO 210
IF (ANS.EQ.'EXPLA' .AND. SAVE.GT.'IN') GO TO 220
IF (ANS.EQ.'INPUT') GO TO 230
IF (ANS.EQ.'OUTPU') GO TO 290
IF (ANS.EQ.'ZERO') GO TO 320
IF (ANS.EQ.'STOP') GO TO 2000
TYPE 204
204 FORMAT (
1 ' ENTER ONE OF THE FOLLOWING:'/
2 ' INPUT, OUTPUT, ZERO, STOP, OR DETAIL'/)
GO TO 200
210 TYPE 21
21 FORMAT (
1 ' TO ENTER A HYPOTHETICAL FREQUENCY TABLE, TYPE "INPUT".'/
2 ' TO KEEP SAME DATA BUT CHANGE OPTIONS, TYPE "OUTPUT".'/
3 ' TO OBTAIN ZERO-ORDER STATISTICS, TYPE "ZERO".'/
4 ' TO TERMINATE THE PROGRAM, TYPE "STOP".'//
5 ' TO HALT EXECUTION OF A COMMAND, TYPE "ABORT".'/
6 ' TO GET HELP AT ANY POINT, TYPE "EXPLAIN" OR "?".'//
7 ' FOR A MORE COMPLETE EXPLANATION OF ANY OF THE ABOVE'/
8 ' COMMANDS, TYPE "EXPLAIN" AND THE NAME OF THE COMMAND.'/)
GO TO 200
220 REREAD 33, ANS
IF (ANS.EQ.'ABORT') TYPE 221
221 FORMAT (
1 ' FURTHER EXECUTION OF A COMMAND MAY BE HALTED AT ANY'/
2 ' BREAK POINT BY TYPING "ABORT". TO SUPPRESS THE PRINT-'/
3 ' ING OF TABLES OR OTHER OUTPUT, TYPE <CTRL>O AND PRESS'/
4 ' <RETURN>.'/)
IF (ANS.EQ.'EXPLA' .OR. ANS.EQ.'?') TYPE 222
222 FORMAT (
1 ' IF YOU NEED AN EXPLANATION OR FURTHER INSTRUCTIONS,'/
2 ' YOU MAY RESPOND TO ANY REQUEST FOR INPUT BY TYPING'/
3 ' "EXPLAIN" OR A QUESTION MARK.'/)
IF (ANS.EQ.'INPUT') TYPE 231
IF (ANS.EQ.'OUTPU') TYPE 291
IF (ANS.EQ.'ZERO') TYPE 321
IF (ANS.EQ.'STOP') TYPE 2002
GO TO 200
C
C INPUT: ENTER NUMBER OF CATEGORIES.
230 ZERO = ENTRY(0).NE.ANS .OR. ENTRY(1).EQ.' '
IF (ZERO) TYPE 23
23 FORMAT (' TABLE SIZE? ',$)
IF (ZERO) ACCEPT 3, (ENTRY(N),N=1,12)
IF (ENTRY(1).EQ.'ABORT') GO TO 200
IF (ENTRY(1).EQ.'STOP') GO TO 2000
IF (ENTRY(1).EQ.'EXPLA' .OR. ENTRY(1).EQ.'?') TYPE 231
231 FORMAT (
1 ' ENTER THE NUMBER OF CATEGORIES FOR THE INDEPENDENT AND'/
2 ' DEPENDENT VARIABLES AND FOR THE CONTROL VARIABLE, IF'/
3 ' ANY. TABLE HEADINGS WILL THEN BE PRINTED. DEFINE A'/
4 ' HYPOTHETICAL FREQUENCY DISTRIBUTION BY FILLING IN THE'/
5 ' TABLE.'//
6 ' WHEN THE TABLE SIZE IS LISTED ON THE SAME LINE AS THE'/
7 ' COMMAND (E.G., "INPUT 2,2"), THE OUTPUT OPTIONS WILL'/
8 ' BE THE SAME AS IN THE LAST PREVIOUS CROSS-TABULATION.'/)
CALL DECODE
READ (20,10) J1,J2,J3
IF (J1.EQ.0 .OR. J2.EQ.0) GO TO 230
ERROR = J1.LT.2 .OR. J1.GT.10 .OR. J2.LT.2 .OR. J2.GT.10 .OR.
1 J3.LT.0 .OR. J3.EQ.1 .OR. J3.GT.10
IF (ERROR) TYPE 232
232 FORMAT ('+INVALID ENTRY--VARIABLES MAY HAVE 2 TO 10 CATEGORIES'/)
IF (ERROR) GO TO 230
L(I1) = (J1.EQ.10)+1
H(I1) = (J1.EQ.10)+J1
L(I2) = (J2.EQ.10)+1
H(I2) = (J2.EQ.10)+J2
I3 = -3*(J3.NE.0)
IF (I3.EQ.0) GO TO 290
L(I3) = (J3.EQ.10)+1
H(I3) = (J3.EQ.10)+J3
GO TO 290
C
C OUTPUT: ENTER OUTPUT OPTIONS.
280 TYPE 28
28 FORMAT (
1 ' ENTER (WITHOUT PUNCTUATION) ONE OR MORE OPTIONS FOR OUTPUT:')
281 FORMAT (
2 ' 1--FREQUENCY OF RESPONSES'/
3 ' 2--PERCENTAGES ACROSS'/
4 ' 3--PERCENTAGES DOWN'/
5 ' 4--PERCENTAGES OF TOTAL'/
6 ' 5--CHI-SQUARE'/
7 ' 6--NOMINAL TAU'/
8 ' 7--YULE''S Q / GAMMA'/
9 ' 8--PHI / ORDINAL TAU'/
/ ' 9--SOMER''S D'/)
290 IF (SAVE.GT.' ' .AND. .NOT.OPT(0)) GO TO 300
TYPE 29
29 FORMAT (' OUTPUT OPTIONS? ',$)
ACCEPT 3, (ENTRY(N),N=1,4)
IF (ENTRY(1).EQ.'NONE' .OR. ENTRY(1).EQ.'ABORT') GO TO 200
IF (ENTRY(1).EQ.'STOP') GO TO 2000
BLURB = ENTRY(1).EQ.'EXPLA' .OR. ENTRY(1).EQ.'?'
IF (BLURB) TYPE 28
IF (BLURB) TYPE 281
IF (BLURB .OR. ENTRY(1).EQ.' ') GO TO 290
291 FORMAT (
1 ' THIS COMMAND ENABLES YOU TO KEEP THE DATA OF THE LAST'/
2 ' CROSS-TABULATION BUT TO CHANGE THE OUTPUT OPTIONS.'/)
CALL DECODE
READ (20,101,ERR=280) (R(I),I=1,9),(OPT(J),J=1,9)
DO 295 I=1,9
295 OPT(R(I)) = .TRUE.
OPT(0) = .NOT.(OPT(1) .OR. OPT(2) .OR. OPT(3) .OR. OPT(4) .OR.
1 OPT(5) .OR. OPT(6) .OR. OPT(7) .OR. OPT(8) .OR. OPT(9))
IF (OPT(0)) GO TO 290
IF (ANS.EQ.'OUTPU') GO TO 400
300 DO 310 J3=L(I3),H(I3)
DO 310 J2=L(I2),H(I2)
DO 310 J1=L(I1),H(I1)
310 NUM(J1,J2,J3) = 0
GO TO 1360
C
C ZERO: CONSTRUCT ZERO-ORDER TABLE.
320 IF (ANS.NE.'ZERO') GO TO 335
321 FORMAT (
1 ' THIS COMMAND, GIVEN AFTER A CROSS-TABULATION INVOLVING'/
2 ' A CONTROL VARIABLE, PRODUCES THE CORRESPONDING ZERO-'/
3 ' ORDER STATISTICS.'/)
DO 330 J1=L(I1),H(I1)
DO 330 J2=L(I2),H(I2)
NSUB(0,J1,J2) = 0
DO 325 J3=L(I3),H(I3)
325 NSUB(0,J1,J2) = NSUB(0,J1,J2)+NUM(J1,J2,J3)
330 NUM(J1,J2,J3X) = NSUB(0,J1,J2)
I3 = 0
335 CONTINUE
DO 360 J3=L(I3),H(I3)
DO 340 J1=L(I1),H(I1)
340 NSUB(1,J1,J3) = 0
DO 350 J2=L(I2),H(I2)
350 NSUB(2,J2,J3) = 0
360 NTOT(J3) = 0
NTAB = 0
DO 390 J3=L(I3),H(I3)
DO 380 J2=L(I2),H(I2)
DO 370 J1=L(I1),H(I1)
NSUB(1,J1,J3) = NSUB(1,J1,J3)+NUM(J1,J2,J3)
370 NSUB(2,J2,J3) = NSUB(2,J2,J3)+NUM(J1,J2,J3)
380 NTOT(J3) = NTOT(J3)+NSUB(2,J2,J3)
TOT(J3) = NTOT(J3)
TOT(J3) = AMAX1(TOT(J3),.0001)
390 NTAB = NTAB+NTOT(J3)
NOUT = LAST-NTAB
C BEGIN OUTPUT LOOP.
400 DO 1300 J3=L(I3),H(I3)
IF (J3.NE.L(I3)) WRITE (5,34)
IF (.NOT.(OPT(5) .OR. OPT(6) .OR. OPT(7) .OR. OPT(8) .OR. OPT(9)))
1 GO TO 430
NROW = 0
NCOL = 0
DO 410 J1=L(I1),H(I1)
IF (NSUB(1,J1,J3).EQ.0) GO TO 410
NROW = NROW+1
J1A(NROW) = J1
410 CONTINUE
NROW = MAX0(NROW,1)
DO 420 J2=L(I2),H(I2)
IF (NSUB(2,J2,J3).EQ.0) GO TO 420
NCOL = NCOL+1
J2A(NCOL) = J2
420 CONTINUE
NDF = (NROW-1)*(NCOL-1)
NADF = (H(I1)-L(I1))*(H(I2)-L(I2))
430 WRITE (5,43)
43 FORMAT (///
1 ' DOWN: VARIABLE X'/
2 ' ACROSS: VARIABLE Y')
IF (I3.NE.0) WRITE (5,431) J3
431 FORMAT (
3 ' CONTROL: VARIABLE T = CATEGORY ',I1)
IF (OPT(1)) GO TO 440
IF (OPT(2)) GO TO 500
IF (OPT(3)) GO TO 600
IF (OPT(4)) GO TO 700
IF (OPT(5)) GO TO 800
IF (OPT(6)) GO TO 900
IF (OPT(7)) GO TO 1000
IF (OPT(8)) GO TO 1100
IF (OPT(9)) GO TO 1200
C OPTION 1--FREQUENCY OF RESPONSES
440 WRITE (5,44)
44 FORMAT (///' FREQUENCY OF RESPONSES:')
450 WRITE (5,45) (J2,X(I2),J2=L(I2),H(I2))
45 FORMAT (//5X,20(1X,I4,A1,$))
460 WRITE (5,46)
46 FORMAT ('+',4X,'TOT'/)
DO 480 J1=L(I1),H(I1)
470 WRITE (5,47) J1,X(I1),(NUM(J1,J2,J3),J2=L(I2),H(I2))
47 FORMAT (' ',I1,A1,2X,20(1X,I4,1X,$))
480 WRITE (5,48) NSUB(1,J1,J3)
48 FORMAT ('+',3X,I4)
490 WRITE (5,49) (NSUB(2,J2,J3),J2=L(I2),H(I2))
49 FORMAT (/' TOT ',20(1X,I4,1X,$))
WRITE (5,48) NTOT(J3)
IF (OPT(2)) GO TO 500
IF (OPT(3)) GO TO 600
IF (OPT(4)) GO TO 700
IF (OPT(5)) GO TO 800
IF (OPT(6)) GO TO 900
IF (OPT(7)) GO TO 1000
IF (OPT(8)) GO TO 1100
IF (OPT(9)) GO TO 1200
GO TO 1300
C OPTION 2--PERCENTAGES ACROSS
500 DO 510 J1=L(I1),H(I1)
SUB1 = NSUB(1,J1,J3)
SUB1 = AMAX1(SUB1,.0001)
DO 510 J2=L(I2),H(I2)
510 PCT(J1,J2) = NUM(J1,J2,J3)/SUB1+.0005
DO 530 J2=L(I2),H(I2)
530 PSUB(2,J2) = NSUB(2,J2,J3)/TOT(J3)+.0005
540 WRITE (5,54)
54 FORMAT (///' PERCENTAGES ACROSS:')
550 WRITE (5,45) (J2,X(I2),J2=L(I2),H(I2))
560 WRITE (5,46)
DO 580 J1=L(I1),H(I1)
570 WRITE (5,57) J1,X(I1),(PCT(J1,J2),J2=L(I2),H(I2))
57 FORMAT (' ',I1,A1,2X,20(1X,2PF5.1,$))
580 WRITE (5,48) NSUB(1,J1,J3)
590 WRITE (5,59) (PSUB(2,J2),J2=L(I2),H(I2))
59 FORMAT (/' TOT ',20(1X,2PF5.1,$))
WRITE (5,48) NTOT(J3)
IF (OPT(3)) GO TO 600
IF (OPT(4)) GO TO 700
IF (OPT(5)) GO TO 800
IF (OPT(6)) GO TO 900
IF (OPT(7)) GO TO 1000
IF (OPT(8)) GO TO 1100
IF (OPT(9)) GO TO 1200
GO TO 1300
C OPTION 3--PERCENTAGES DOWN
600 DO 610 J2=L(I2),H(I2)
SUB2 = NSUB(2,J2,J3)
SUB2 = AMAX1(SUB2,.0001)
DO 610 J1=L(I1),H(I1)
610 PCT(J1,J2) = NUM(J1,J2,J3)/SUB2+.0005
DO 620 J1=L(I1),H(I1)
620 PSUB(1,J1) = NSUB(1,J1,J3)/TOT(J3)+.0005
640 WRITE (5,64)
64 FORMAT (///' PERCENTAGES DOWN:')
650 WRITE (5,45) (J2,X(I2),J2=L(I2),H(I2))
660 WRITE (5,46)
DO 680 J1=L(I1),H(I1)
670 WRITE (5,57) J1,X(I1),(PCT(J1,J2),J2=L(I2),H(I2))
680 WRITE (5,68) PSUB(1,J1)
68 FORMAT ('+',3X,2PF5.1)
690 WRITE (5,49) (NSUB(2,J2,J3),J2=L(I2),H(I2))
WRITE (5,48) NTOT(J3)
IF (OPT(4)) GO TO 700
IF (OPT(5)) GO TO 800
IF (OPT(6)) GO TO 900
IF (OPT(7)) GO TO 1000
IF (OPT(8)) GO TO 1100
IF (OPT(9)) GO TO 1200
GO TO 1300
C OPTION 4--PERCENTAGES OF TOTAL
700 DO 710 J1=L(I1),H(I1)
DO 710 J2=L(I2),H(I2)
710 PCT(J1,J2) = NUM(J1,J2,J3)/TOT(J3)+.0005
DO 720 J1=L(I1),H(I1)
720 PSUB(1,J1) = NSUB(1,J1,J3)/TOT(J3)+.0005
DO 730 J2=L(I2),H(I2)
730 PSUB(2,J2) = NSUB(2,J2,J3)/TOT(J3)+.0005
740 WRITE (5,74)
74 FORMAT (///' PERCENTAGES OF TOTAL:')
750 WRITE (5,45) (J2,X(I2),J2=L(I2),H(I2))
760 WRITE (5,46)
DO 780 J1=L(I1),H(I1)
770 WRITE (5,57) J1,X(I1),(PCT(J1,J2),J2=L(I2),H(I2))
780 WRITE (5,68) PSUB(1,J1)
790 WRITE (5,59) (PSUB(2,J2),J2=L(I2),H(I2))
WRITE (5,48) NTOT(J3)
IF (OPT(5)) GO TO 800
IF (OPT(6)) GO TO 900
IF (OPT(7)) GO TO 1000
IF (OPT(8)) GO TO 1100
IF (OPT(9)) GO TO 1200
GO TO 1300
C OPTION 5--CHI-SQUARE
800 WRITE (5,32)
IF (NDF-1) 810,820,830
810 WRITE (5,81)
81 FORMAT (/' CHI-SQUARE IS UNDEFINED.')
IF (OPT(6)) GO TO 900
IF (OPT(7)) GO TO 1010
IF (OPT(8)) GO TO 1110
IF (OPT(9)) GO TO 1210
GO TO 1300
820 PROD1 = NSUB(1,J1A(1),J3)*NSUB(1,J1A(2),J3)
PROD2 = NSUB(2,J2A(1),J3)*NSUB(2,J2A(2),J3)
PROD = PROD1*PROD2
DET = IABS(NUM(J1A(1),J2A(1),J3)*NUM(J1A(2),J2A(2),J3)
1 -NUM(J1A(1),J2A(2),J3)*NUM(J1A(2),J2A(1),J3))
COR = AMIN1(TOT(J3),DET)/2
CS = TOT(J3)*(DET-COR)**2/PROD
830 IF (NDF.GT.1) CS = 0.0
IERR = 0
DO 840 ROW=1,NROW
DO 840 COL=1,NCOL
ENUM = NSUB(1,J1A(ROW),J3)*NSUB(2,J2A(COL),J3)/TOT(J3)
IF (ENUM.LT.1.0) IERR = -100
IF (NDF.EQ.1) GO TO 840
CS = CS+(NUM(J1A(ROW),J2A(COL),J3)-ENUM)**2/ENUM
840 CONTINUE
860 IF (IERR.EQ.0) CALL CHISQ(CS,NDF,PR)
870 WRITE (5,87) CS,NDF
87 FORMAT (/' CHI-SQUARE =',F7.2,' WITH ',I2,' D.F.')
IF (IERR.NE.0) GO TO 890
880 WRITE (5,88)
88 FORMAT (' PROBABILITY OF CHI-SQUARE THIS LARGE IS ',$)
IF (PR.GE..9995) WRITE (5,881)
881 FORMAT ('+1.')
IF (PR.GE..001 .AND. PR.LT..9995) WRITE (5,882) PR
882 FORMAT ('+',F4.3)
IF (PR.LT..001) WRITE (5,883)
883 FORMAT ('+LESS THAN .001')
GO TO 895
890 WRITE (5,89)
89 FORMAT (' NOTE: EXPECTED FREQUENCY IS LESS THAN ',$)
IF (IERR.LT.0) WRITE (5,891)
891 FORMAT ('+1 IN ONE OR MORE CELLS.')
IF (IERR.EQ.1) WRITE (5,892)
892 FORMAT ('+5 IN ONE CELL.')
IF (IERR.GT.1 .AND. IERR.LT.10) WRITE (5,893) IERR
893 FORMAT ('+5 IN ',I1,' CELLS.')
IF (IERR.GE.10) WRITE (5,894) IERR
894 FORMAT ('+5 IN ',I2,' CELLS.')
895 IF (OPT(6)) GO TO 900
IF (OPT(7)) GO TO 1000
IF (OPT(8)) GO TO 1100
IF (OPT(9)) GO TO 1200
GO TO 1300
C OPTION 6--NOMINAL TAU
900 IF (.NOT.OPT(5)) WRITE (5,32)
IF (NCOL-2) 910,920,930
910 WRITE (5,91)
91 FORMAT (/' GOODMAN AND KRUSKAL''S TAU IS UNDEFINED.')
IF (OPT(7)) GO TO 1010
IF (OPT(8)) GO TO 1110
IF (OPT(9)) GO TO 1210
GO TO 1300
920 POS = 2.*NSUB(2,J2A(1),J3)*NSUB(2,J2A(2),J3)/TOT(J3)
NEG = 0.0
DO 925 ROW=1,NROW
SUB1 = NSUB(1,J1A(ROW),J3)
925 NEG = NEG+2.*NUM(J1A(ROW),J2A(1),J3)*NUM(J1A(ROW),J2A(2),J3)/SUB1
TAU = (POS-NEG)/POS
GO TO 960
930 SUM = 0.0
DO 935 COL=1,NCOL
935 SUM = SUM+NSUB(2,J2A(COL),J3)*(NTOT(J3)-NSUB(2,J2A(COL),J3))
POS = SUM/TOT(J3)
940 NEG = 0.0
DO 950 ROW=1,NROW
SUM = 0.0
NSUB1 = NSUB(1,J1A(ROW),J3)
DO 945 COL=1,NCOL
945 SUM = SUM+NUM(J1A(ROW),J2A(COL),J3)*
1 (NSUB1-NUM(J1A(ROW),J2A(COL),J3))
SUB1 = NSUB1
950 NEG = NEG+SUM/SUB1
TAU = (POS-NEG)/POS
960 PTAU = TAU+.0005
965 R(3) = 0
IF (PTAU.GE..1) R(3) = BLANK
970 WRITE (5,97) TAU
97 FORMAT (/' GOODMAN AND KRUSKAL''S TAU = ',F6.3)
980 WRITE (5,98)
98 FORMAT (' (KNOWING VARIABLE X',$)
IF (TAU.LT..0005) WRITE (5,981)
981 FORMAT ('+ DOES NOT REDUCE ERROR',
1 ' IN PREDICTING VARIABLE Y)')
IF (TAU.GE..0005.AND.TAU.LT..9995) WRITE (5,982) R(3),PTAU
982 FORMAT ('+ REDUCES ERROR',
1 ' IN PREDICTING VARIABLE Y BY',A1,2PF4.1,'%)')
IF (TAU.GE..9995) WRITE (5,883)
983 FORMAT ('+ ELIMINATES ERROR',
1 ' IN PREDICTING VARIABLE Y)')
IF (OPT(7)) GO TO 1000
IF (OPT(8)) GO TO 1100
IF (OPT(9)) GO TO 1200
GO TO 1300
C OPTION 7--YULE'S Q / GAMMA
1000 IF (.NOT.(OPT(5) .OR. OPT(6))) WRITE (5,32)
IF (NDF-1) 1010,1020,1030
1010 IF (NADF.EQ.1) WRITE (5,1011)
IF (NADF.NE.1) WRITE (5,1012)
1011 FORMAT (/' YULE''S Q IS UNDEFINED.')
1012 FORMAT (/' GOODMAN AND KRUSKAL''S GAMMA IS UNDEFINED.')
IF (OPT(8)) GO TO 1110
IF (OPT(9)) GO TO 1210
GO TO 1300
1020 POS = NUM(J1A(1),J2A(1),J3)*NUM(J1A(2),J2A(2),J3)
NEG = NUM(J1A(1),J2A(2),J3)*NUM(J1A(2),J2A(1),J3)
Q = (POS-NEG)/(POS+NEG)
SUM = 0.0
DO 1025 ROW=1,2
DO 1025 COL=1,2
1025 SUM = SUM+1.0/AMAX0(NUM(J1A(ROW),J2A(COL),J3),1)
SIGMA = (1.0-Q*Q)*SQRT(SUM)/2.
QMAX = AMIN1(Q+1.960*SIGMA, 1.)
QMIN = AMAX1(Q-1.960*SIGMA,-1.)
R(5) = (1+(QMAX.GE.0.0))*BLANK
R(6) = (1+(QMIN.GE.0.0))*BLANK
GO TO 1060
1030 POS = 0.0
NEG = 0.0
DO 1040 MROW=1,NROW-1
DO 1040 MCOL=1,NCOL-1
DO 1040 ROW=MROW+1,NROW
DO 1040 COL=MCOL+1,NCOL
1040 POS = POS+NUM(J1A(MROW),J2A(MCOL),J3)*NUM(J1A(ROW),J2A(COL),J3)
DO 1050 MROW=1,NROW-1
DO 1050 MCOL=2,NCOL
DO 1050 ROW=MROW+1,NROW
DO 1050 COL=1,MCOL-1
1050 NEG = NEG+NUM(J1A(MROW),J2A(MCOL),J3)*NUM(J1A(ROW),J2A(COL),J3)
IF (OPT(8) .AND. .NOT.OPT(7)) GO TO 1130
IF (OPT(9) .AND. .NOT.OPT(7)) GO TO 1230
GAMMA = (POS-NEG)/(POS+NEG)
1060 CONTINUE
J1 = J1A(1)
IF (Q.GT.0.0) J2 = J2A(1)
IF (Q.LT.0.0) J2 = J2A(NCOL)
1070 IF (NDF.EQ.1) WRITE (5,1071) Q
IF (NDF.GT.1) WRITE (5,1072) GAMMA
1071 FORMAT (/' YULE''S Q = ',F6.3)
1072 FORMAT (/' GOODMAN AND KRUSKAL''S GAMMA = ',F6.3)
1080 IF (ABS(Q).GE..0005) WRITE (5,108) J1,J2
108 FORMAT (
1 ' (VARIABLE X = CATEGORY ',I1,') TENDS WITH ',
2 ' (VARIABLE Y = CATEGORY ',I1,')')
IF (ABS(Q).LT..0005) WRITE (5,1081)
1081 FORMAT (
1 ' VARIABLES X AND Y ARE NOT ASSOCIATED')
1090 IF (NDF.EQ.1 .AND. ABS(Q).NE.1.) WRITE (5,109) R(5),QMAX,R(6),QMIN
109 FORMAT (' 95% CONFIDENCE LIMITS FOR Q ARE',A1,F6.3,' AND',A1,F6.3)
IF (OPT(8)) GO TO 1100
IF (OPT(9)) GO TO 1200
GO TO 1300
C OPTION 8--PHI / ORDINAL TAU
1100 IF (.NOT.(OPT(5) .OR. OPT(6) .OR. OPT(7))) WRITE (5,32)
IF (NDF.GT.1 .AND. .NOT.OPT(7)) GO TO 1030
IF (NDF-1) 1110,1120,1130
1110 IF (NADF.EQ.1) WRITE (5,1111)
IF (NADF.NE.1) WRITE (5,1112)
1111 FORMAT (/' PHI IS UNDEFINED.')
1112 FORMAT (/' KENDALL''S TAU IS UNDEFINED.')
IF (OPT(9)) GO TO 1210
GO TO 1300
1120 POS = NUM(J1A(1),J2A(1),J3)*NUM(J1A(2),J2A(2),J3)
NEG = NUM(J1A(1),J2A(2),J3)*NUM(J1A(2),J2A(1),J3)
PROD1 = NSUB(1,J1A(1),J3)*NSUB(1,J1A(2),J3)
PROD2 = NSUB(2,J2A(1),J3)*NSUB(2,J2A(2),J3)
ROOT = SQRT(PROD1*PROD2)
PHI = (POS-NEG)/ROOT
GO TO 1150
1130 PROD1 = 0.0
PROD2 = 0.0
DO 1135 MROW=1,NROW-1
DO 1135 ROW=MROW+1,NROW
1135 PROD1 = PROD1+NSUB(1,J1A(MROW),J3)*NSUB(1,J1A(ROW),J3)
DO 1140 MCOL=1,NCOL-1
DO 1140 COL=MCOL+1,NCOL
1140 PROD2 = PROD2+NSUB(2,J2A(MCOL),J3)*NSUB(2,J2A(COL),J3)
TAU = (POS-NEG)/SQRT(PROD1*PROD2)
GO TO 1170
1150 MROW = (NSUB(1,J1A(1),J3).LT.NSUB(1,J1A(2),J3))+2
MCOL = (NSUB(2,J2A(1),J3).LT.NSUB(2,J2A(2),J3))+2
IF (NSUB(1,J1A(MROW),J3).GT.NSUB(2,J2A(MCOL),J3)) GO TO 1155
ALLPOS = NSUB(1,J1A(MROW),J3)*NSUB(2,J2A(3-MROW),J3)
ALLNEG = NSUB(1,J1A(MROW),J3)*NSUB(2,J2A(MROW),J3)
GO TO 1160
1155 ALLPOS = NSUB(2,J2A(MCOL),J3)*NSUB(1,J1A(3-MCOL),J3)
ALLNEG = NSUB(2,J2A(MCOL),J3)*NSUB(1,J1A(MCOL),J3)
1160 PHIMAX = ALLPOS/ROOT
PHIMIN = -ALLNEG/ROOT
1170 IF (NDF.EQ.1) WRITE (5,1171) PHI
IF (NDF.GT.1) WRITE (5,1172) TAU
1171 FORMAT (/' PHI = ',F6.3)
1172 FORMAT (/' KENDALL''S TAU = ',F6.3)
1180 IF (NDF.EQ.1) WRITE (5,1181) PHIMAX,PHIMIN
IF (NDF.GT.1) WRITE (5,1182)
1181 FORMAT (' UPPER AND LOWER BOUNDS FOR PHI ARE',F6.3,' AND ',F6.3)
1182 FORMAT (' (RANK CORRELATION CORRECTED FOR TIES)')
IF (OPT(9)) GO TO 1200
GO TO 1300
C OPTION 9--SOMER'S D
1200 IF (.NOT.(OPT(5) .OR. OPT(6) .OR. OPT(7) .OR. OPT(8)))
1 WRITE (5,32)
IF (NDF.GT.1 .AND. .NOT.(OPT(7) .OR. OPT(8))) GO TO 1030
IF (NDF-1) 1210,1220,1230
1210 WRITE (5,121)
121 FORMAT (/' SOMER''S D IS UNDEFINED.')
GO TO 1300
1220 POS = NUM(J1A(1),J2A(1),J3)*NUM(J1A(2),J2A(2),J3)
NEG = NUM(J1A(1),J2A(2),J3)*NUM(J1A(2),J2A(1),J3)
PROD1 = NSUB(1,J1A(1),J3)*NSUB(1,J1A(2),J3)
D = (POS-NEG)/PROD1
GO TO 1260
1230 IF (OPT(8)) GO TO 1240
PROD1 = 0.0
DO 1235 MROW=1,NROW-1
DO 1235 ROW=MROW+1,NROW
1235 PROD1 = PROD1+NSUB(1,J1A(MROW),J3)*NSUB(1,J1A(ROW),J3)
1240 D = (POS-NEG)/PROD1
1260 CONTINUE
1270 WRITE (5,127) D
127 FORMAT (/' SOMER''S D = ',F6.3)
1280 IF (NDF.EQ.1) WRITE (5,1281)
IF (NDF.GT.1) WRITE (5,1282)
1281 FORMAT (' (PERCENTAGE DIFFERENCE',$)
1282 FORMAT (' (PROPORTION DIFFERENTIAL',$)
WRITE (5,1283)
1283 FORMAT ('+ FOR VARIABLE X RELATIVE TO VARIABLE Y)')
C REPEAT OR CONCLUDE.
1300 CONTINUE
IF (L(I3).NE.H(I3)) WRITE (5,34)
IF (.NOT.OPT(7)) GO TO 1350
IF (NADF.NE.1 .OR. L(I3).EQ.H(I3)) GO TO 1350
NLL = 0
NLH = 0
NHL = 0
NHH = 0
1310 DO 1315 J3=L(I3),H(I3)
NLL = NLL+NUM(L(I1),L(I2),J3)
NLH = NLH+NUM(L(I1),H(I2),J3)
NHL = NHL+NUM(H(I1),L(I2),J3)
NHH = NHH+NUM(H(I1),H(I2),J3)
1315 CONTINUE
POS = NLL*NHH
NEG = NLH*NHL
IF (POS+NEG.EQ.0.0) GO TO 1350
QZERO = (POS-NEG)/(POS+NEG)
POS = 0.0
NEG = 0.0
1320 DO 1325 J3=L(I3),H(I3)
POS = POS+NUM(L(I1),L(I2),J3)*NUM(H(I1),H(I2),J3)
NEG = NEG+NUM(L(I1),H(I2),J3)*NUM(H(I1),L(I2),J3)
1325 CONTINUE
IF (POS+NEG.EQ.0.0) GO TO 1350
QPART = (POS-NEG)/(POS+NEG)
POS = 0.0
NEG = 0.0
1330 DO 1335 J3=L(I3),H(I3)
POS = POS+NUM(L(I1),L(I2),J3)*(NHH-NUM(H(I1),H(I2),J3))
NEG = NEG+NUM(L(I1),H(I2),J3)*(NHL-NUM(H(I1),L(I2),J3))
1335 CONTINUE
IF (POS+NEG.EQ.0.0) GO TO 1350
QDIFF = (POS-NEG)/(POS+NEG)
1340 WRITE (5,134) QZERO,QPART,QDIFF
134 FORMAT (///
1 ' ZERO ORDER Q = ',F6.3/
2 ' PARTIAL Q = ',F6.3/
3 ' DIFFERENTIAL Q = ',F6.3)
1350 TYPE 34
WRITE (5,201)
GO TO 202
C ENTER HYPOTHETICAL FREQUENCY TABLE.
1360 TYPE 136
136 FORMAT (///' HYPOTHETICAL FREQUENCIES:')
DO 1390 J3=L(I3),H(I3)
1370 TYPE 137, (J2,J2=L(I2),H(I2))
137 FORMAT (//5X,20(1X,I4,1X,$))
IF (L(I3).NE.H(I3)) TYPE 1371, J3
1371 FORMAT ('+ (',I1,')',$)
TYPE 34
TYPE 34
DO 1390 J1=L(I1),H(I1)
1380 TYPE 138, J1
138 FORMAT ('+',I1,6X,$)
ACCEPT 3, (ENTRY(N),N=1,12)
IF (ENTRY(1).EQ.'ABORT') GO TO 200
IF (ENTRY(1).EQ.'DELET') GO TO 1360
IF (ENTRY(1).EQ.'STOP') GO TO 2000
BLURB = ENTRY(1).EQ.'EXPLA' .OR. ENTRY(1).EQ.'?'
IF (BLURB) TYPE 1381
1381 FORMAT (
1 ' DEFINE A HYPOTHETICAL FREQUENCY DISTRIBUTION FOR YOUR'/
2 ' VARIABLES BY FILLING IN THIS TABLE. TO START OVER,'/
3 ' TYPE "DELETE". TO QUIT, TYPE "ABORT".'//)
IF (BLURB .OR. ENTRY(1).EQ.' ') GO TO 1380
CALL DECODE
READ (20,10) (NUM(J1,J2,J3),J2=L(I2),H(I2))
1390 CONTINUE
GO TO 320
C
C STOP: TERMINATE EXECUTION.
2000 END FILE 5
TYPE 34
CALL OFIL(20,LIST,'.TMP')
END FILE 20
2002 FORMAT (
1 ' THE COMMAND "STOP" MAY BE GIVEN AS A RESPONSE TO ANY'/
2 ' REQUEST FOR INFORMATION. EXECUTION OF THE PROGRAM IS'/
3 ' TERMINATED, AND THE DATA FILE REVERTS TO ITS ORIGINAL'/
4 ' FORM.'/)
STOP
END
C
FUNCTION JK(N)
JK = N/536870912-48
IF (JK.GE.0) RETURN
JK = 10-(JK-3)/6
RETURN
END
C
FUNCTION NK(J)
IF (J.GE.10) J = (13-J)*(J-7)-J-3*(J/12)
NK = (J+48)*536870912
RETURN
END
C
SUBROUTINE DECODE
COMMON ENTRY(0/13),LIST
CALL OFIL(20,LIST,'.TMP')
WRITE (20,3) (ENTRY(N),N=1,12)
3 FORMAT (12A5)
END FILE 20
CALL IFIL(20,LIST,'.TMP')
IF (ENTRY(1).LT.'MAP 0' .OR. ENTRY(1).GT.'MAP Z') GO TO 50
READ (20,4) (ENTRY(N),N=0,12)
4 FORMAT (A4,12A5)
CALL OFIL(20,LIST,'.TMP')
WRITE (20,3) (ENTRY(N),N=0,11)
END FILE 20
CALL IFIL(20,LIST,'.TMP')
RETURN
50 DO 55 N=0,12
55 ENTRY(N) = ENTRY(N+1)
RETURN
END
C
SUBROUTINE CHISQ(CS,NDF,PR)
PR = 1.
IF (CS.EQ.0) RETURN
DF = NDF
IF (CS.LT.DF) GO TO 100
A = DF
B = 10000.
F = CS/DF
GO TO 200
100 A = 10000.
B = DF
F = DF/CS
200 A1 = 2./(9.*A)
B1 = 2./(9.*B)
Y = ((1.-B1)*F**(1./3.)-1.+A1)/SQRT(B1*F**(2./3.)+A1)
Z = ABS(Y)
IF (B.LT.4.) Z = Z*(1+.08*Z**4/B**3)
PR = .5/(1+Z*(.196854+Z*(.115194+Z*(.000344+Z*.019527))))**4
IF (CS.LT.DF .AND. Y.GE.0) PR = 1.-PR
RETURN
END