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decus/20-0026/momen.doc
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SUBROUTINE MOMEN
PURPOSE
TO FIND THE THE FIRST FOUR MOMENTS FOR GROUPED DATA ON
EQUAL CLASS INTERVALS.
USAGE
CALL MOMEN (F,UBO,NOP,ANS)
DESCRIPTION OF PARAMETERS
F - GROUPED DATA (FREQUENCIES). GIVEN AS A VECTOR OF
LENGTH (UBO(3)-UBO(1))/UBO(2)
UBO - 3 CELL VECTOR, UBO(1) IS LOWER BOUND AND UBO(3) UPPER
BOUND ON DATA. UBO(2) IS CLASS INTERVAL. NOTE THAT
UBO(3) MUST BE GREATER THAN UBO(1).
NOP - OPTION PARAMETER. IF NOP = 1, ANS(1) = MEAN. IF
NOP = 2, ANS(2) = SECOND MOMENT. IF NOP = 3, ANS(3) =
THIRD MOMENT. IF NOP = 4, ANS(4) = FOURTH MOMENT.
IF NOP = 5, ALL FOUR MOMENTS ARE FILLED IN.
ANS - OUTPUT VECTOR OF LENGTH 4 INTO WHICH MOMENTS ARE PUT.
REMARKS
NOTE THAT THE FIRST MOMENT IS NOT CENTRAL BUT THE VALUE OF
THE MEAN ITSELF. THE MEAN IS ALWAYS CALCULATED. MOMENTS
ARE BIASED AND NOT CORRECTED FOR GROUPING.
SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED
NONE
METHOD
REFER TO M. G. KENDALL, 'THE ADVANCED THEORY OF STATISTICS',
V.1, HAFNER PUBLISHING COMPANY, 1958, CHAPTER 3.