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```SUBROUTINE SRATE

PURPOSE
TO COMPUTE THE PROPORTION OF SUBJECTS SURVIVING, THE
SURVIVAL RATES AND THE STANDARD ERRORS FOR SUCCESSIVELY
REDUCED TIME PERIODS.  THE SURVIVAL RATE IS COMPUTED FOR
EACH OF K PERIODS, WHERE K IS A CONSTANT TO BE SPECIFIED AND
IS LESS THAN OR EQUAL TO N (WHERE N = TOTAL NUMBER OF
PERIODS).

USAGE
CALL SRATE (N,K,X,IE)

DESCRIPTION OF PARAMETERS
N - THE TOTAL NUMBER OF PERIODS AFTER TREATMENT OR DIAGNOSIS
K - THE SPECIFIED PERIOD UP TO WHICH SURVIVAL RATES ARE TO
BE CALCULATED
X - AN INPUT AND OUTPUT MATRIX (N X 9) CONTAINING THE
FOLLOWING INFORMATION
FOR INPUT--STORED IN THE N ROWS OF EACH COLUMN
COL 1 - NUMBER OF SUBJECTS ALIVE AT THE BEGINNING OF
PERIOD
COL 2 - NUMBER OF SUBJECTS WHICH DIED DURING THE
PERIOD
COL 3 - NUMBER OF SUBJECTS LOST TO FOLLOW-UP DURING
THE PERIOD
COL 4 - NUMBER OF SUBJECTS WITHDRAWN ALIVE DURING THE
PERIOD
FOR OUTPUT--STORED IN THE FIRST K ROWS OF EACH
COLUMN
COL 5 - EFFECTIVE NUMBER EXPOSED TO THE RISK OF DYING
COL 6 - PROPORTION WHO DIED DURING THE PERIOD
COL 7 - PROPORTION WHO SURVIVED DURING THE PERIOD
COL 8 - SURVIAL RATE
COL 9 - STANDARD ERROR OF THE SURVIVAL RATE
IE- 1, IF K IS NOT IN THE CLOSED INTERVAL (0,N).
2, IF THE NUMBER OF SUBJECTS ALIVE AT THE BEGINNING
OF PERIOD I IS LESS THAN THE SUM OF THOSE WHICH DIED,
WERE LOST, OR WERE WITHDRAWN DURING PERIOD I (I=1,...N)
3, IF THE NUMBER OF SUBJECTS WHICH DIED, WERE LOST, OR
WERE WITHDRAWN IN PERIOD I IS NOT EQUAL TO THE NUMBER
ALIVE AT THE BEGINNING OF PERIOD I LESS THE NUMBER
ALIVE AT THE BEGINNING OF PERIOD I + 1 (I=1,...N-1)

REMARKS
IF THE SUBJECTS IN A GIVEN GROUP ARE ALL DIAGNOSED OR
TREATED AT THE SAME TIME, THE CONSTANT K MAY BE SET EQUAL TO
N .	IF THE SUBJECTS IN A GIVEN GOUP ENTER THE STUDY AT
VARYING TIMES, K CAN BE NO GREATER THAN N-1.

SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED
NONE

METHOD
REFER TO S. J. CUTLER AND F. EDERER 'MAXIMUM UTILIZATION OF
THE LIFE TABLE METHOD IN ANALYZING SURVIVAL', JOURNAL OF
CHRONIC DISEASES, DECEMBER, 1958.  PP 699-712.
```