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decuslib20-02
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decus/20-0026/biser.doc
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SUBROUTINE BISER
PURPOSE
TO COMPUTE THE BISERIAL CORRELATION COEFFICIENT BETWEEN TWO
CONTINUOUS VARIABLES WHEN ONE OF THEM HAS BEEN ARTIFICIALLY
DICHOTOMIZED.
USAGE
CALL BISER (N,A,B,HI,ANS,IER)
DESCRIPTION OF PARAMETERS
N - NUMBER OF OBSERVATIONS
A - INPUT VECTOR OF LENGTH N CONTAINING THE CONTINUOUS
VARIABLE
B - INPUT VECTOR OF LENGTH N CONTAINING THE DICHOTOMIZED
VARIABLE
HI - INPUT - NUMERICAL CODE TO INDICATE THE HIGHER CATEGORY
OF THE DICHOTOMIZED VARIABLE. ANY VALUE IN VECTOR B
EQUAL TO OR GREATER THAN HI WILL BE CLASSIFIED INTO
THE HIGHER CATEGORY.
ANS - OUTPUT VECTOR OF LENGTH 8 CONTAINING THE FOLLOWING
ANS(1) - MEAN OF VARIABLE A
ANS(2) - STANDARD DEVIATION OF VARIABLE A
ANS(3) - PROPORTION OF THE CASES IN THE HIGHER
CATEGORY OF VARIABLE B
ANS(4) - PROPORTION OF THE CASES IN THE LOWER
CATEGORY OF VARIABLE B
ANS(5) - MEAN OF VARIABLE A FOR THOSE CASES FALLING
INTO THE HIGHER CATEGORY OF VARIABLE B
ANS(6) - MEAN OF VARIABLE A FOR THOSE CASES FALLING
INTO THE LOWER CATEGORY OF VARIABLE B
ANS(7) - BISERIAL CORRELATION COEFFICIENT
ANS(8) - STANDARD ERROR OF BISERIAL CORRELATION
COEFFICIENT
IER - 1, IF NO CASES ARE IN THE LOWER CATEGORY OF VARIABLE
B.
-1, IF ALL CASES ARE IN THE LOWER CATEGORY OF
VARIABLE B.
0, OTHERWISE.
IF IER IS NON-ZERO, ANS(I)=10**75,I=5,...,8.
REMARKS
THE VALUES OF THE DICHOTOMIZED VARIABLE, B, MUST BE IN
NUMERIC FORM. THEY CANNOR BE SPECIFIED BY MEANS OF
ALPHABETIC OR SPECIAL CHARACTERS.
SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED
NDTRI
METHOD
REFER TO P. HORST, 'PSYCHOLOGICAL MEASUREMENT AND
PREDICTION', P.95-96 (WADSWORTH, 1966).