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- C
- C ..................................................................
- C
- C SUBROUTINE SRATE
- C
- C PURPOSE
- C TO COMPUTE THE PROPORTION OF SUBJECTS SURVIVING, THE
- C SURVIVAL RATES AND THE STANDARD ERRORS FOR SUCCESSIVELY
- C REDUCED TIME PERIODS. THE SURVIVAL RATE IS COMPUTED FOR
- C EACH OF K PERIODS, WHERE K IS A CONSTANT TO BE SPECIFIED AND
- C IS LESS THAN OR EQUAL TO N (WHERE N = TOTAL NUMBER OF
- C PERIODS).
- C
- C USAGE
- C CALL SRATE (N,K,X,IE)
- C
- C DESCRIPTION OF PARAMETERS
- C N - THE TOTAL NUMBER OF PERIODS AFTER TREATMENT OR DIAGNOSIS
- C K - THE SPECIFIED PERIOD UP TO WHICH SURVIVAL RATES ARE TO
- C BE CALCULATED
- C X - AN INPUT AND OUTPUT MATRIX (N X 9) CONTAINING THE
- C FOLLOWING INFORMATION
- C FOR INPUT--STORED IN THE N ROWS OF EACH COLUMN
- C COL 1 - NUMBER OF SUBJECTS ALIVE AT THE BEGINNING OF
- C PERIOD
- C COL 2 - NUMBER OF SUBJECTS WHICH DIED DURING THE
- C PERIOD
- C COL 3 - NUMBER OF SUBJECTS LOST TO FOLLOW-UP DURING
- C THE PERIOD
- C COL 4 - NUMBER OF SUBJECTS WITHDRAWN ALIVE DURING THE
- C PERIOD
- C FOR OUTPUT--STORED IN THE FIRST K ROWS OF EACH
- C COLUMN
- C COL 5 - EFFECTIVE NUMBER EXPOSED TO THE RISK OF DYING
- C COL 6 - PROPORTION WHO DIED DURING THE PERIOD
- C COL 7 - PROPORTION WHO SURVIVED DURING THE PERIOD
- C COL 8 - SURVIAL RATE
- C COL 9 - STANDARD ERROR OF THE SURVIVAL RATE
- C IE- 1, IF K IS NOT IN THE CLOSED INTERVAL (0,N).
- C 2, IF THE NUMBER OF SUBJECTS ALIVE AT THE BEGINNING
- C OF PERIOD I IS LESS THAN THE SUM OF THOSE WHICH DIED,
- C WERE LOST, OR WERE WITHDRAWN DURING PERIOD I (I=1,...N)
- C 3, IF THE NUMBER OF SUBJECTS WHICH DIED, WERE LOST, OR
- C WERE WITHDRAWN IN PERIOD I IS NOT EQUAL TO THE NUMBER
- C ALIVE AT THE BEGINNING OF PERIOD I LESS THE NUMBER
- C ALIVE AT THE BEGINNING OF PERIOD I + 1 (I=1,...N-1)
- C
- C REMARKS
- C IF THE SUBJECTS IN A GIVEN GROUP ARE ALL DIAGNOSED OR
- C TREATED AT THE SAME TIME, THE CONSTANT K MAY BE SET EQUAL TO
- C N . IF THE SUBJECTS IN A GIVEN GOUP ENTER THE STUDY AT
- C VARYING TIMES, K CAN BE NO GREATER THAN N-1.
- C
- C SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED
- C NONE
- C
- C METHOD
- C REFER TO S. J. CUTLER AND F. EDERER 'MAXIMUM UTILIZATION OF
- C THE LIFE TABLE METHOD IN ANALYZING SURVIVAL', JOURNAL OF
- C CHRONIC DISEASES, DECEMBER, 1958. PP 699-712.
- C
- C ..................................................................
- C
- SUBROUTINE SRATE (N,K,X,IE)
- C
- DIMENSION X(1)
- C
- C INITIALIZATION AND ERROR CHECKING
- C
- IE=0
- NP4=4*N+1
- NP9=NP4+NP4+N-2
- DO 1 I=NP4,NP9
- 1 X(I)=0.0
- IF (K) 2,2,3
- 2 IE=1
- GO TO 45
- 3 IF(K-N) 4,4,2
- 4 DO 9 I=1,N
- NP4=I+N
- NP9=NP4+N
- NP1=NP9+N
- IF(INT(X(I)-X(NP4)-X(NP9)-X(NP1)+.01)) 5,6,6
- 5 IE=2
- GO TO 45
- 6 IF(I-N) 7,9,9
- 7 IF (INT(X(I+1)-X(I)+X(NP4)+X(NP9)+X(NP1)+.01)) 8,9,8
- 8 IE=3
- GO TO 45
- 9 CONTINUE
- 15 L1=0
- L2=L1+N
- L3=L2+N
- L4=L3+N
- L5=L4+N
- L6=L5+N
- L7=L6+N
- L8=L7+N
- L9=L8+N
- LD=L2
- LE=L5
- LQ=L6
- SUM=0.0
- C
- DO 40 I=1,K
- C
- C COMPUTE EFFECTIVE NUMBER EXPOSED TO RISK OF DYING
- C
- L1=L1+1
- L3=L3+1
- L4=L4+1
- L5=L5+1
- X(L5)=X(L1)-(X(L3)+X(L4))/2.0
- C
- C COMPUTE PROPORTION OF DYING
- C
- L2=L2+1
- L6=L6+1
- X(L6)=X(L2)/X(L5)
- C
- C COMPUTE PROPORTION OF SURVIVING
- C
- L7=L7+1
- X(L7)=1.0-X(L6)
- C
- C COMPUTE SURVIVAL RATE
- C
- L8=L8+1
- IF (I-1) 20, 20, 25
- 20 X(L8)=X(L7)
- GO TO 30
- 25 X(L8)=X(L8-1)*X(L7)
- C
- C COMPUTE STANDARD ERROR OF SURVIVAL RATE
- C
- 30 L9=L9+1
- SUM=SUM+X(L6)/(X(L5)-X(L2))
- 40 X(L9)=X(L8)*SQRT(SUM)
- C
- 45 RETURN
- END