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

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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. PRINT" STANDARD DEVIATION, MEAN KNOWN >RUN SUM OF DATA VALUES SUM OF SQUARES OF DATA VALUES MEAN VARIANCE, MEAN ESTIMATED VARIANCE, MEAN KNOWN STANDARD DEVIATION, MEAN EST.

40,26,60,70,90,40,40,20, 100,20,40, 10,40,5,40,30,20,40,30,40, 90,70,40,30,25,20,10,5,60,50,40,40,20,50, 70,80,5,10,40,60, 10,30,40,60,5,20,5,25,40,80,80,5, 70,40,30,50,20,50,60,50. 0 1230 1240 1250 1260 1270 1280 1290 1300 1310 REM REM REM REM REM REM REM REM REM REM REM SAMPLE PROGRAM: PMAXMIN FINDS MAXIMUM, MINIMUM, RANGE, MEDIAN, PERCENTILES AND CUMULATIVE FREQUENCY DIST.

Note See the section on GAMMFN for comments on precision and magnitude of m andx. The Subroutines 45 UPPER TAIL AREA OF THE F-DISTRIBUTION Subroutine: FDISTR Description Computes the area under the upper tail of the F-distribution for (m, n) degrees of freedom. Requires subroutines BETAFN and LNGAMM. Method The integral of the upper area of the F-distribution, 1 - F(z), is solved with the aid of the subroutine for the incomplete beta function BETAFN. 1 - F(z) is equal to I x(P, q) if n/2 is substituted for p, m/2 for q, and n/(n + mz) for x.