By B.V. Cordingley, D.J. Chamund
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Additional resources for Advanced BASIC Scientific Subroutines
6734 1. 929E-2 These results agree with those published in tables (Pearson, 1968). Notes 1. Accuracy is controlled by BER. 2. B(p, q) is most readily determined by setting x = 1 and solving EXP(NLGBET). 42 Advanced BASIC Scientific Subroutines cm-SQUARED DISTRIBUTION Subroutine: CmSQD Description Computes the area under the X2 curve from zero to a positive argument as a function of the number of degrees of freedom. Requires subroutines LNGAMM and GAMMFN. Method The distribution function for chi-squared is Fx(x) = (1/(2 m/2 rctm))) F x(x) = 0 x <0 f: u(m-2)/2 exp(-u/2) du x;;;;t 0 m = 1, 2 ...
NUMBER OF EVENTS OUTPUT: FX ...... PROB. OF NUMEVT OR FEWER EVENTS 23 The Subroutines 2140 2150 2160 2170 2180 2190 2200 2210 2220 2230 2240 2250 2260 2270 2280 2290 2300 2310 2320 2330 2340 REM REM REM REM REM PGTEQX .. PROB. OF NUMEVT OR MORE EVENTS PX ...... PROB. OF EXACTLY NUMEVT EVENTS LOCAL: ... P CHECK INPUT DATA IF NUMEVT < 0 OR L1 < 0 THEN GO TO 2310 LET PX = EXP(-L1) LET PGTEQX = 1 LET FX = PX IF NUMEVT = 0 THEN GOTO 2290 FOR. P = 1 TO NUMEVT LET PGTEQX = PGTEQX - PX LET PX L1*PX/P LET FX = FX + PX NEXT P REM RETURN REM PRINT" NUMEVT OR L1 INVALID," PRINT" NUMEVT = "; NUMEVT; ", L1 END "; L1 Sample Program Telephone calls arrive at a switch board on average at a rate of two per minute.
9984 SET INITIAL VALUES AND PRINT HEADING LET N1 = 11 ; X PRINT " P", " a", " PRINT" IX(B(P,Q»"," B(P,Q) " .. 6734 1. 929E-2 These results agree with those published in tables (Pearson, 1968). Notes 1. Accuracy is controlled by BER. 2. B(p, q) is most readily determined by setting x = 1 and solving EXP(NLGBET). 42 Advanced BASIC Scientific Subroutines cm-SQUARED DISTRIBUTION Subroutine: CmSQD Description Computes the area under the X2 curve from zero to a positive argument as a function of the number of degrees of freedom.
Advanced BASIC Scientific Subroutines by B.V. Cordingley, D.J. Chamund