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By B.V. Cordingley, D.J. Chamund

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At the extremes of the distribution, local variable Kl will be zero. In this case execution is not terminated though a warning is printed indicating that the value returned for GRAT is not correct. The major use for this subroutine is likely to be in significance testing and in this application it is unlikely that extreme values for GRAT will be required. 37 The Subroutines RATIO OF THE INCOMPLETE BETA FUNCTION Subroutine: BETAFN Description Evaluates the ratio of the incomplete beta function Ix(P, q) to the complete function B(p, q) for p > 0, q > 0, 0 < x < 1.

MEAN VALUE OF SAMPLE SDME .... •• SUM OF SQUARES OF DATA VALUES VRME •... VARIANCE, MEAN ESTIMATED VRMK •... VARIANCE, MEAN KNOWN LOCAL: ... P ARRAY DIMENSIONS: A() ..... 8, 1. 8, 1 LET NUMDAT = 6 REM READ INPUT DATA INTO A() FOR J = 1 TO NUMDAT READ A(J) 52 Advanced BASIC Scientific Subroutines 1120 1130 1140 1150 1160 1170 1180 1190 1200 1210 1220 1230 1240 REM REM REM END NEXT J COMPUTE SUMMARY STATISTICS CALL SUBROUTINE MNVRNC GOSUB 2000 PRINT " SUM OF DATA VALUES PRINT " SUM OF SQUARES OF DATA VALUES PRINT " MEAN PRINT " VARIANCE, MEAN ESTIMATED PRINT " VARIANCE, MEAN KNOWN PRINT" STANDARD DEVIATION, MEAN EST.

AREA FROM XF TO INFINITY PARG ..... INPUT FOR BETAFN QARG ..... INPUT FOR BETAFN XBET ..... INPUT FOR BETAFN CHECK DATA AND TRANSFORM INPUT FOR BETAFN IF DF1 < 1 OR DF2 < 1 OR XF < 0 THEN GOTO 4350 IF INT(DF1) < DF1 THEN GOTO 4350 IF INT(DF2) < DF2 THEN GOTO 4350 LET PARG DF2/2 LET QARG = DF1/2 LET XBET = DF2/(DF2 + DF1*XF) COMPUTE BETA RATIO AND FAREA CALL SUBROUTINE BETAFN GOSUB 3000 Advanced BASIC Scientific Subroutines 46 4330 LET FAREA = BRAT 4340 RETURN 4350 REM 4360 PRINT " DF1. DF2 OR XF INVALID.

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