Trailing-Edge
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PDP-10 Archives
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decuslib20-02
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decus/20-0026/tie.doc
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SUBROUTINE TIE
PURPOSE
CALCULATE CORRECTION FACTOR DUE TO TIES
USAGE
CALL TIE(R,N,KT,T)
DESCRIPTION OF PARAMETERS
R - INPUT VECTOR OF RANKS OF LENGTH N CONTAINING VALUES
1 TO N
N - NUMBER OF RANKED VALUES
KT - INPUT CODE FOR CALCULATION OF CORRECTION FACTOR
1 SOLVE EQUATION 1
2 SOLVE EQUATION 2
T - CORRECTION FACTOR (OUTPUT)
EQUATION 1 T=SUM(CT**3-CT)/12
EQUATION 2 T=SUM(CT*(CT-1)/2)
WHERE CT IS THE NUMBER OF OBSERVATIONS TIED FOR A
GIVEN RANK
REMARKS
NONE
SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED
NONE
METHOD
VECTOR IS SEARCHED FOR SUCCESSIVELY LARGER RANKS. TIES ARE
COUNTED AND CORRECTION FACTOR 1 OR 2 SUMMED.