C UTES 10
C ..................................................................UTES 20
C UTES 30
C SUBROUTINE UTEST UTES 40
C UTES 50
C PURPOSE UTES 60
C TEST WHETHER TWO INDEPENDENT GROUPS ARE FROM THE SAME UTES 70
C POPULATION BY MEANS OF MANN-WHITNEY U-TEST UTES 80
C UTES 90
C USAGE UTES 100
C CALL UTEST(A,R,N1,N2,U,Z,IER) UTES 110
C UTES 120
C DESCRIPTION OF PARAMETERS UTES 130
C A - INPUT VECTOR OF CASES CONSISTING OF TWO INDEPENDENT UTES 140
C GROUPS . SMALLER GROUP PRECEDES LARGER GROUP. LENGTH UTES 150
C IS N1+N2. UTES 160
C R - OUTPUT VECTOR OF RANKS. SMALLEST VALUE IS RANKED 1, UTES 170
C LARGEST IS RANKED N. TIES ARE ASSIGNED AVERAGE OF TIED UTES 180
C RANKS. LENGTH IS N1+N2. UTES 190
C N1 - NUMBER OF CASES IN SMALLER GROUP UTES 200
C N2 - NUMBER OF CASES IN LARGER GROUP UTES 210
C U - STATISTIC USED TO TEST HOMOGENEITY OF THE TWO UTES 220
C GROUPS (OUTPUT) UTES 230
C Z - MEASURE OF SIGNIFICANCE OF U IN TERMS OF NORMAL UTES 240
C DISTRIBUTION (OUTPUT) UTES 250
C IER- 0, IF NO ERROR. UTES 251
C - 1, IF ALL VALUES OF ONE GROUP ARE TIED. UTES 252
C UTES 260
C REMARKS UTES 270
C Z IS SET TO ZERO IF N2 IS LESS THAN 20 UTES 280
C UTES 290
C SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED UTES 300
C RANK UTES 310
C TIE UTES 320
C UTES 330
C METHOD UTES 340
C DESCRIBED IN S. SIEGEL, 'NONPARAMETRIC STATISTICS FOR THE UTES 350
C BEHAVIORAL SCIENCES', MCGRAW-HILL, NEW YORK, 1956, UTES 360
C CHAPTER 6 UTES 370
C UTES 380
C ..................................................................UTES 390
C UTES 400
SUBROUTINE UTEST(A,R,N1,N2,U,Z) UTES 410
DIMENSION A(1),R(1) UTES 420
C UTES 430
C RANK SCORES FROM BOTH GROUP TOGETHER IN ASCENDING ORDER, AND UTES 440
C ASSIGN TIED OBSERVATIONS AVERAGE OF TIED RANKS UTES 450
C UTES 460
N=N1+N2 UTES 470
CALL RANK(A,R,N) UTES 480
Z=0.0 UTES 490
C UTES 500
C SUM RANKS IN LARGER GROUP UTES 510
C UTES 520
R2=0.0 UTES 530
NP=N1+1 UTES 540
DO 10 I=NP,N UTES 550
10 R2=R2+R(I) UTES 560
C UTES 570
C CALCULATE U UTES 580
C UTES 590
FNX=N1*N2 UTES 600
FN=N UTES 610
FN2=N2 UTES 620
UP=FNX+FN2*((FN2+1.0)/2.0)-R2 UTES 630
U=FNX-UP UTES 640
IF(UP-U) 20,30,30 UTES 650
20 U=UP UTES 660
C UTES 670
C TEST FOR N2 LESS THAN 20 UTES 680
C UTES 690
30 IF(N2-20) 80,40,40 UTES 700
C UTES 710
C COMPUTE STANDARD DEVIATION UTES 720
C UTES 730
40 KT=1 UTES 740
CALL TIE(R,N,KT,TS) UTES 750
IF(TS) 50,60,50 UTES 760
50 IF (TS-(FN*FN*FN-FN)/12)52,51,52 UTES 761
51 IER=1 UTES 762
GO TO 80 UTES 763
52 S=SQRT((FNX/(FN*(FN-1.0)))*(((FN*FN*FN-FN)/12.0)-TS)) UTES 770
GO TO 70 UTES 780
60 S=SQRT(FNX*(FN+1.0)/12.0) UTES 790
C UTES 800
C COMPUTE Z UTES 810
C UTES 820
70 Z=(U-FNX*0.5)/S UTES 830
80 RETURN UTES 840
END UTES 850