============================================================================== x x x CLASS 6/75 for STAT 3687 x x x ============================================================================== x x x Utilizing a NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION x x x ============================================================================== SUMMARY of PERMUTATION FREQ. COUNTS with TEST FREQ. INTERVAL [ 4 ... 6 ] ============================================================================== RSTAR <========================> [ YES ] The 24-Element PERM in PERM.OUT is [4] or Greater [*]-QUALIFIED !!! (PROB = 4.3290 %) lies in the interval [ 1.0000 % , 100.0 % ] with [ PP % , QQ % ] <====> [ 4.77 % , 95.23 % ] Total Intersection Freq. Sum = 638 Total # Impacted Indices in Frequency Sum = 19 Total # of STAR EVENTS = 400 Total Frequency Average = .00 ============================================================================== PROB = Pr( Success on the Next Trial ) = 4.33 % ============================================================================== Computed # of Trailing 0"s = NZ0 = 2 MAX. Desired # of Trailing 0"s = M0_MAX = 0 MTC = Total Number of Trailing Right Tail O "s = 2 Expected Frequency Cadence = 1 / k = 1 / 21 KTC = Cumulative Intersection Sum in Right Tail = 33 PROB % / NCT / IRATIO / NZ0 / NZ1 / = 4.33 % / 4 / 21 / 2 / 19 / ODDS IN FAVOR = OIF <=====> 1 / ODDS_AGAINST = 1 / 23 where TTMAX = NZ1 = # of [1]"s = 19 and D(NCT) = RNZ0 - LNZ0 = 2 - 2 = 0 Last 400 [*]-Qualifying Frequencies <====> 3 1 4 1 2 0 1 2 2 1 0 3 1 4 1 1 0 2 2 1 1 0 2 1 4 2 1 4 3 0 3 1 2 3 2 3 2 0 1 1 1 2 0 3 2 3 1 2 0 2 3 3 1 1 0 3 1 1 2 2 1 2 2 1 1 0 1 2 1 2 0 1 2 1 1 0 1 2 2 1 2 2 1 2 3 1 2 1 0 1 3 1 2 2 3 2 0 1 2 2 0 1 1 4 1 4 1 1 1 1 1 0 1 1 2 1 1 1 3 0 3 3 2 2 2 1 2 1 0 0 2 1 1 1 2 3 1 0 2 1 1 1 2 3 1 0 3 5 2 1 2 2 2 3 2 2 2 3 1 1 1 0 1 2 1 3 1 0 2 1 0 1 0 2 0 3 4 1 3 1 2 1 2 2 1 1 1 2 2 3 0 4 2 2 0 1 1 1 3 3 1 0 1 3 2 2 2 1 1 1 2 1 3 1 0 0 1 2 1 2 1 4 1 2 3 2 2 3 2 1 0 1 1 2 1 0 1 1 1 0 1 1 1 2 3 3 0 1 2 1 4 2 1 4 4 3 1 1 1 3 2 1 2 1 1 0 1 3 3 1 1 0 3 1 2 1 1 0 3 2 3 0 2 1 2 3 3 3 1 0 3 1 1 2 0 1 0 2 3 3 1 1 1 2 1 0 0 0 3 1 3 1 2 1 2 0 1 0 2 1 1 1 2 3 0 3 1 3 1 0 3 2 3 1 1 1 2 2 1 1 0 1 2 1 3 1 2 3 1 3 1 1 3 2 2 3 3 3 0 3 3 4 0 0 4 2 2 4 0 1 0 3 4 2 1 0 2 2 3 3 2 2 2 2 2 0 0 4 1 2 0 1 1 3 1 2 1 4 1 2 Last 400 [*]-Qualifying Frequency Indices <====> 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 ============================================================================== x x x Utilizing a NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION x x x ============================================================================== SUMMARY of PERMUTATION FREQ. COUNTS with TEST FREQ. INTERVAL [ 4 ... 6 ] ============================================================================== RSTAR <========================> [ YES ] The 24-Element PERM in PERM.OUT is [4] or Greater [*]-QUALIFIED !!! (PROB = 3.8540 %) lies in the interval [ 1.0000 % , 100.0 % ] with [ PP % , QQ % ] <====> [ 11.00 % , 89.00 % ] Total Intersection Freq. Sum = 871 Total # Impacted Indices in Frequency Sum = 43 Total # of STAR EVENTS = 400 Total Frequency Average = .00 ============================================================================== PROB = Pr( Success on the Next Trial ) = 3.85 % ============================================================================== Computed # of Trailing 0"s = NZ0 = 9 MAX. Desired # of Trailing 0"s = M0_MAX = 0 MTC = Total Number of Trailing Right Tail O "s = 9 Expected Frequency Cadence = 1 / k = 1 / 9 KTC = Cumulative Intersection Sum in Right Tail = 14 PROB % / NCT / IRATIO / NZ0 / NZ1 / = 3.85 % / 6 / 9 / 9 / 43 / ODDS IN FAVOR = OIF <=====> 1 / ODDS_AGAINST = 1 / 25 where TTMAX = NZ1 = # of [1]"s = 43 and D(NCT) = RNZ0 - LNZ0 = 9 - 9 = 0 Last 400 [*]-Qualifying Frequencies <====> 3 1 2 2 1 1 3 1 3 4 4 4 5 1 4 4 2 2 0 1 2 5 2 2 3 3 2 2 1 5 4 5 2 2 3 1 2 4 1 1 1 0 1 1 3 2 3 4 2 5 3 1 1 2 4 3 2 4 3 2 1 2 1 2 2 2 3 2 1 4 1 2 2 2 1 5 2 2 4 2 1 1 1 3 2 3 3 3 2 3 0 2 2 1 3 2 3 2 2 0 1 2 3 3 3 3 1 3 2 2 3 3 2 3 2 2 1 1 1 4 5 2 1 1 2 1 2 1 1 3 3 0 3 2 2 3 1 2 2 3 1 2 4 2 5 3 2 0 1 4 2 1 2 2 3 3 3 2 2 1 0 3 4 2 1 4 3 1 4 1 4 4 2 1 1 0 3 2 2 1 3 3 3 3 2 1 2 3 1 1 2 3 3 3 1 3 3 3 1 1 1 3 1 2 3 2 1 3 2 2 2 1 1 1 2 2 2 2 3 3 2 2 2 1 1 2 1 1 4 1 2 0 3 4 3 3 2 1 1 3 3 3 4 3 2 2 3 2 1 1 2 2 4 1 3 1 1 3 1 1 2 3 1 3 2 3 1 3 2 1 2 5 3 3 1 3 3 1 2 0 4 3 1 0 2 2 1 1 1 1 1 3 2 2 2 2 2 1 2 1 3 3 4 3 3 3 3 1 2 2 1 1 1 3 4 2 4 4 3 2 2 3 4 2 3 1 3 3 2 3 1 2 3 2 2 3 1 3 1 3 3 2 3 2 2 2 3 3 1 3 2 3 0 0 2 3 1 4 3 2 2 0 2 3 1 2 2 2 1 3 3 1 2 1 2 1 2 2 2 2 0 5 3 3 3 4 3 0 1 3 5 2 2 2 2 3 2 0 2 1 Last 400 [*]-Qualifying Frequency Indices <====> 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 ============================================================================== x x x Utilizing a NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION x x x ============================================================================== SUMMARY of PERMUTATION FREQ. COUNTS with TEST FREQ. INTERVAL [ 4 ... 6 ] ============================================================================== RSTAR <========================> [ YES ] The 24-Element PERM in PERM.OUT is [4] or Greater [*]-QUALIFIED !!! (PROB = 7.3266 %) lies in the interval [ 1.0000 % , 100.0 % ] with [ PP % , QQ % ] <====> [ 10.08 % , 89.92 % ] Total Intersection Freq. Sum = 761 Total # Impacted Indices in Frequency Sum = 40 Total # of STAR EVENTS = 400 Total Frequency Average = .00 ============================================================================== PROB = Pr( Success on the Next Trial ) = 7.33 % ============================================================================== Computed # of Trailing 0"s = NZ0 = 3 MAX. Desired # of Trailing 0"s = M0_MAX = 0 MTC = Total Number of Trailing Right Tail O "s = 3 Expected Frequency Cadence = 1 / k = 1 / 10 KTC = Cumulative Intersection Sum in Right Tail = 13 PROB % / NCT / IRATIO / NZ0 / NZ1 / = 7.33 % / 16 / 10 / 3 / 40 / ODDS IN FAVOR = OIF <=====> 1 / ODDS_AGAINST = 1 / 13 where TTMAX = NZ1 = # of [1]"s = 40 and D(NCT) = RNZ0 - LNZ0 = 3 - 3 = 0 Last 400 [*]-Qualifying Frequencies <====> 2 3 2 4 2 4 3 0 1 3 2 1 1 3 2 2 2 1 0 4 3 3 2 4 1 4 2 2 1 4 2 3 3 4 1 3 0 2 3 2 1 1 2 1 3 0 0 1 2 4 1 2 0 1 2 3 3 3 1 2 4 2 2 1 3 3 2 0 2 1 2 0 3 1 1 3 1 4 1 1 1 2 1 1 3 2 1 4 3 4 1 1 2 3 0 2 2 1 1 2 2 2 1 2 2 1 3 3 1 3 1 2 3 2 2 1 0 3 1 4 4 1 1 0 2 3 2 2 1 1 3 0 1 2 0 0 1 1 1 3 0 2 2 4 5 1 2 0 1 1 2 1 2 2 2 2 2 1 2 2 2 1 1 3 2 1 1 0 2 1 4 2 2 1 5 3 0 4 2 1 2 2 2 2 2 1 3 1 2 0 2 1 2 2 2 2 2 4 1 1 4 3 2 0 3 1 2 3 0 0 2 1 1 2 4 1 2 2 2 0 1 2 3 1 1 2 2 1 3 3 1 2 0 4 2 2 4 1 2 2 1 2 2 3 0 3 2 1 1 1 1 4 4 0 2 3 2 2 1 2 1 3 1 3 3 3 0 1 0 3 2 1 2 1 3 5 3 2 3 1 2 2 3 1 2 3 2 1 3 5 0 3 4 3 1 1 2 1 1 2 4 3 3 0 2 2 2 4 3 4 0 2 0 1 3 0 3 3 2 3 1 2 4 3 1 1 1 2 1 4 1 3 0 2 1 2 1 4 1 4 1 4 2 3 2 2 1 3 1 2 3 0 0 1 1 2 2 4 3 2 1 0 0 2 0 2 2 1 2 3 3 1 3 1 3 3 2 2 2 3 0 4 1 1 0 3 3 1 1 3 3 0 1 1 1 3 4 0 2 1 Last 400 [*]-Qualifying Frequency Indices <====> 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 ============================================================================== x x x Utilizing a NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION x x x ============================================================================== SUMMARY of PERMUTATION FREQ. COUNTS with TEST FREQ. INTERVAL [ 4 ... 6 ] ============================================================================== RSTAR <========================> [ YES ] The 24-Element PERM in PERM.OUT is [4] or Greater [*]-QUALIFIED !!! (PROB = 5.0000 %) lies in the interval [ 1.0000 % , 100.0 % ] with [ PP % , QQ % ] <====> [ 5.00 % , 95.00 % ] Total Intersection Freq. Sum = 683 Total # Impacted Indices in Frequency Sum = 20 Total # of STAR EVENTS = 400 Total Frequency Average = .00 ============================================================================== PROB = Pr( Success on the Next Trial ) = 5.00 % ============================================================================== Computed # of Trailing 0"s = NZ0 = 0 MAX. Desired # of Trailing 0"s = M0_MAX = 0 MTC = Total Number of Trailing Right Tail O "s = 0 Expected Frequency Cadence = 1 / k = 1 / 20 KTC = Cumulative Intersection Sum in Right Tail = 39 PROB % / NCT / IRATIO / NZ0 / NZ1 / = 5.00 % / 29 / 20 / 0 / 20 / ODDS IN FAVOR = OIF <=====> 1 / ODDS_AGAINST = 1 / 20 where TTMAX = NZ1 = # of [1]"s = 20 and D(NCT) = RNZ0 - LNZ0 = 0 - 0 = 0 Last 400 [*]-Qualifying Frequencies <====> 4 2 3 1 1 1 3 2 1 1 1 1 1 4 1 1 2 0 1 2 1 2 2 3 0 1 3 3 4 0 1 1 4 2 1 1 2 1 1 2 1 3 1 2 2 1 1 2 2 1 1 2 1 4 3 1 2 2 2 1 4 2 2 1 1 1 2 2 2 2 1 3 3 2 0 1 1 4 2 2 1 2 2 1 0 1 1 1 3 2 1 1 0 1 0 2 1 3 0 0 2 0 2 1 2 1 2 2 2 2 0 1 3 1 1 0 0 5 2 3 4 4 1 1 2 2 3 0 1 1 3 2 3 1 2 0 2 0 0 0 3 3 0 3 3 2 1 3 1 1 1 3 1 2 2 1 2 0 4 2 2 1 2 2 2 0 2 3 1 1 2 2 3 0 2 3 0 1 3 3 3 2 2 2 1 3 0 0 3 3 1 0 0 0 3 0 1 2 2 1 3 2 3 2 3 1 3 1 2 0 1 1 2 3 3 1 2 2 1 3 0 1 2 1 1 1 2 3 1 3 2 1 1 1 1 0 1 1 2 1 2 1 1 1 0 2 3 2 3 1 1 1 1 0 0 3 1 2 1 2 1 1 2 2 2 0 2 1 1 3 2 0 1 2 2 3 2 4 1 0 1 4 2 0 4 2 2 1 3 3 0 1 2 0 3 1 3 1 2 0 3 4 1 0 3 1 3 2 2 2 2 0 4 1 3 2 1 1 0 1 2 1 3 1 2 2 3 2 2 1 2 3 1 2 1 1 2 3 2 3 3 1 2 1 0 3 1 2 3 1 2 2 1 2 2 2 1 1 2 2 1 1 2 1 2 3 2 2 3 2 1 3 3 2 3 4 2 1 2 3 2 3 0 1 1 2 2 4 3 1 2 3 2 2 4 1 3 0 1 4 Last 400 [*]-Qualifying Frequency Indices <====> 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 ============================================================================== ============================================================================== x x x CLASS 6/75 for STAT 3687 x x x ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .55138E-01 .94486E+00 .52098E-01=> PROB % = 5.21 % [ PP,QQ ] <====> 5.513784E-002 9.448621E-001 [ NZ0 ] <====> 1 [ QQ ^^ MTC ] <====> 9.448621E-001 [ PP x QQ ^^ NZ0 ] <====> 5.209766E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .41667E-01 .95833E+00 .21089E-01=> PROB % = 2.11 % [ PP,QQ ] <====> 4.166667E-002 9.583333E-001 [ NZ0 ] <====> 16 [ QQ ^^ MTC ] <====> 5.061339E-001 [ PP x QQ ^^ NZ0 ] <====> 2.108891E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .76531E-01 .92347E+00 .40478E-01=> PROB % = 4.05 % [ PP,QQ ] <====> 7.653061E-002 9.234694E-001 [ NZ0 ] <====> 8 [ QQ ^^ MTC ] <====> 5.289077E-001 [ PP x QQ ^^ NZ0 ] <====> 4.047763E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .47739E-01 .95226E+00 .43290E-01=> PROB % = 4.33 % [ PP,QQ ] <====> 4.773869E-002 9.522613E-001 [ NZ0 ] <====> 2 [ QQ ^^ MTC ] <====> 9.068016E-001 [ PP x QQ ^^ NZ0 ] <====> 4.328953E-002 ============================================================================== ============================================================================== SUMMARY of PERMUTATION FREQ. COUNTS with TEST FREQ. INTERVAL [ 4 ... 6 ] ============================================================================== RSTAR <========================> [ YES ] The 24-Element PERM in PERM.OUT is [4] or Greater [*]-QUALIFIED !!! (PROB = 4.3290 %) lies in the interval [ 1.0000 % , 100.0 % ] with [ PP % , QQ % ] <====> [ 4.77 % , 95.23 % ] where TTMAX = NZ1 = # of [1]"s = 19 and D(NCT) = RNZ0 - LNZ0 = 2 - 2 = 0 Computed # of Trailing 0"s = NZ0 = 2 MAX. Desired # of Trailing 0"s = M0_MAX = 0 MTC = Total Number of Trailing Right Tail O "s = 2 Total Intersection Freq. Sum = 638 Total # Impacted Indices in Frequency Sum = 19 Total # of STAR EVENTS = 400 Total Frequency Average = .00 ============================================================================== PROB = Pr( Success on the Next Trial ) = 4.33 % ============================================================================== Expected Frequency Cadence = 1 / k = 1 / 21 PROB % / NCT / IRATIO / NZ0 / NZ1 / = 4.33 % / 4 / 21 / 2 / 19 / ODDS IN FAVOR = OIF <=====> 1 / ODDS_AGAINST = 1 / 23 ============================================================================== Last 400 [*]-Qualifying Frequencies <====> 3 1 4 1 2 0 1 2 2 1 0 3 1 4 1 1 0 2 2 1 1 0 2 1 4 2 1 4 3 0 3 1 2 3 2 3 2 0 1 1 1 2 0 3 2 3 1 2 0 2 3 3 1 1 0 3 1 1 2 2 1 2 2 1 1 0 1 2 1 2 0 1 2 1 1 0 1 2 2 1 2 2 1 2 3 1 2 1 0 1 3 1 2 2 3 2 0 1 2 2 0 1 1 4 1 4 1 1 1 1 1 0 1 1 2 1 1 1 3 0 3 3 2 2 2 1 2 1 0 0 2 1 1 1 2 3 1 0 2 1 1 1 2 3 1 0 3 5 2 1 2 2 2 3 2 2 2 3 1 1 1 0 1 2 1 3 1 0 2 1 0 1 0 2 0 3 4 1 3 1 2 1 2 2 1 1 1 2 2 3 0 4 2 2 0 1 1 1 3 3 1 0 1 3 2 2 2 1 1 1 2 1 3 1 0 0 1 2 1 2 1 4 1 2 3 2 2 3 2 1 0 1 1 2 1 0 1 1 1 0 1 1 1 2 3 3 0 1 2 1 4 2 1 4 4 3 1 1 1 3 2 1 2 1 1 0 1 3 3 1 1 0 3 1 2 1 1 0 3 2 3 0 2 1 2 3 3 3 1 0 3 1 1 2 0 1 0 2 3 3 1 1 1 2 1 0 0 0 3 1 3 1 2 1 2 0 1 0 2 1 1 1 2 3 0 3 1 3 1 0 3 2 3 1 1 1 2 2 1 1 0 1 2 1 3 1 2 3 1 3 1 1 3 2 2 3 3 3 0 3 3 4 0 0 4 2 2 4 0 1 0 3 4 2 1 0 2 2 3 3 2 2 2 2 2 0 0 4 1 2 0 1 1 3 1 2 1 4 1 2 Last 400 [*]-Qualifying Frequency Indices <====> 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .82707E-01 .91729E+00 .75866E-01=> PROB % = 7.59 % [ PP,QQ ] <====> 8.270676E-002 9.172933E-001 [ NZ0 ] <====> 1 [ QQ ^^ MTC ] <====> 9.172933E-001 [ PP x QQ ^^ NZ0 ] <====> 7.586636E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .10997E+00 .89003E+00 .38540E-01=> PROB % = 3.85 % [ PP,QQ ] <====> 1.099744E-001 8.900256E-001 [ NZ0 ] <====> 9 [ QQ ^^ MTC ] <====> 3.504469E-001 [ PP x QQ ^^ NZ0 ] <====> 3.854020E-002 ============================================================================== ============================================================================== SUMMARY of PERMUTATION FREQ. COUNTS with TEST FREQ. INTERVAL [ 4 ... 6 ] ============================================================================== RSTAR <========================> [ YES ] The 24-Element PERM in PERM.OUT is [4] or Greater [*]-QUALIFIED !!! (PROB = 3.8540 %) lies in the interval [ 1.0000 % , 100.0 % ] with [ PP % , QQ % ] <====> [ 11.00 % , 89.00 % ] where TTMAX = NZ1 = # of [1]"s = 43 and D(NCT) = RNZ0 - LNZ0 = 9 - 9 = 0 Computed # of Trailing 0"s = NZ0 = 9 MAX. Desired # of Trailing 0"s = M0_MAX = 0 MTC = Total Number of Trailing Right Tail O "s = 9 Total Intersection Freq. Sum = 871 Total # Impacted Indices in Frequency Sum = 43 Total # of STAR EVENTS = 400 Total Frequency Average = .00 ============================================================================== PROB = Pr( Success on the Next Trial ) = 3.85 % ============================================================================== Expected Frequency Cadence = 1 / k = 1 / 9 PROB % / NCT / IRATIO / NZ0 / NZ1 / = 3.85 % / 6 / 9 / 9 / 43 / ODDS IN FAVOR = OIF <=====> 1 / ODDS_AGAINST = 1 / 25 ============================================================================== Last 400 [*]-Qualifying Frequencies <====> 3 1 2 2 1 1 3 1 3 4 4 4 5 1 4 4 2 2 0 1 2 5 2 2 3 3 2 2 1 5 4 5 2 2 3 1 2 4 1 1 1 0 1 1 3 2 3 4 2 5 3 1 1 2 4 3 2 4 3 2 1 2 1 2 2 2 3 2 1 4 1 2 2 2 1 5 2 2 4 2 1 1 1 3 2 3 3 3 2 3 0 2 2 1 3 2 3 2 2 0 1 2 3 3 3 3 1 3 2 2 3 3 2 3 2 2 1 1 1 4 5 2 1 1 2 1 2 1 1 3 3 0 3 2 2 3 1 2 2 3 1 2 4 2 5 3 2 0 1 4 2 1 2 2 3 3 3 2 2 1 0 3 4 2 1 4 3 1 4 1 4 4 2 1 1 0 3 2 2 1 3 3 3 3 2 1 2 3 1 1 2 3 3 3 1 3 3 3 1 1 1 3 1 2 3 2 1 3 2 2 2 1 1 1 2 2 2 2 3 3 2 2 2 1 1 2 1 1 4 1 2 0 3 4 3 3 2 1 1 3 3 3 4 3 2 2 3 2 1 1 2 2 4 1 3 1 1 3 1 1 2 3 1 3 2 3 1 3 2 1 2 5 3 3 1 3 3 1 2 0 4 3 1 0 2 2 1 1 1 1 1 3 2 2 2 2 2 1 2 1 3 3 4 3 3 3 3 1 2 2 1 1 1 3 4 2 4 4 3 2 2 3 4 2 3 1 3 3 2 3 1 2 3 2 2 3 1 3 1 3 3 2 3 2 2 2 3 3 1 3 2 3 0 0 2 3 1 4 3 2 2 0 2 3 1 2 2 2 1 3 3 1 2 1 2 1 2 2 2 2 0 5 3 3 3 4 3 0 1 3 5 2 2 2 2 3 2 0 2 1 Last 400 [*]-Qualifying Frequency Indices <====> 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .52910E-01 .94709E+00 .16001E-01=> PROB % = 1.60 % [ PP,QQ ] <====> 5.291005E-002 9.470900E-001 [ NZ0 ] <====> 22 [ QQ ^^ MTC ] <====> 3.024177E-001 [ PP x QQ ^^ NZ0 ] <====> 1.600094E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .70352E-01 .92965E+00 .60801E-01=> PROB % = 6.08 % [ PP,QQ ] <====> 7.035176E-002 9.296482E-001 [ NZ0 ] <====> 2 [ QQ ^^ MTC ] <====> 8.642458E-001 [ PP x QQ ^^ NZ0 ] <====> 6.080121E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .14000E+00 .86000E+00 .14000E+00=> PROB % = 14.00 % [ PP,QQ ] <====> 1.400000E-001 8.600000E-001 [ NZ0 ] <====> 0 [ QQ ^^ MTC ] <====> 1.0000000 [ PP x QQ ^^ NZ0 ] <====> 1.400000E-001 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .52910E-01 .94709E+00 .16001E-01=> PROB % = 1.60 % [ PP,QQ ] <====> 5.291005E-002 9.470900E-001 [ NZ0 ] <====> 22 [ QQ ^^ MTC ] <====> 3.024177E-001 [ PP x QQ ^^ NZ0 ] <====> 1.600094E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .38760E-01 .96124E+00 .23184E-01=> PROB % = 2.32 % [ PP,QQ ] <====> 3.875969E-002 9.612403E-001 [ NZ0 ] <====> 13 [ QQ ^^ MTC ] <====> 5.981575E-001 [ PP x QQ ^^ NZ0 ] <====> 2.318440E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .46272E-01 .95373E+00 .27478E-01=> PROB % = 2.75 % [ PP,QQ ] <====> 4.627249E-002 9.537275E-001 [ NZ0 ] <====> 11 [ QQ ^^ MTC ] <====> 5.938370E-001 [ PP x QQ ^^ NZ0 ] <====> 2.747832E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .12869E+00 .87131E+00 .31206E-02=> PROB % = .31 % [ PP,QQ ] <====> 1.286863E-001 8.713137E-001 [ NZ0 ] <====> 27 [ QQ ^^ MTC ] <====> 2.425004E-002 [ PP x QQ ^^ NZ0 ] <====> 3.120649E-003 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .65104E-01 .93490E+00 .22173E-01=> PROB % = 2.22 % [ PP,QQ ] <====> 6.510416E-002 9.348958E-001 [ NZ0 ] <====> 16 [ QQ ^^ MTC ] <====> 3.405740E-001 [ PP x QQ ^^ NZ0 ] <====> 2.217278E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .43928E-01 .95607E+00 .24497E-01=> PROB % = 2.45 % [ PP,QQ ] <====> 4.392765E-002 9.560723E-001 [ NZ0 ] <====> 13 [ QQ ^^ MTC ] <====> 5.576732E-001 [ PP x QQ ^^ NZ0 ] <====> 2.449727E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .30380E-01 .96962E+00 .26037E-01=> PROB % = 2.60 % [ PP,QQ ] <====> 3.037975E-002 9.696202E-001 [ NZ0 ] <====> 5 [ QQ ^^ MTC ] <====> 8.570543E-001 [ PP x QQ ^^ NZ0 ] <====> 2.603709E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .10076E+00 .89924E+00 .73266E-01=> PROB % = 7.33 % [ PP,QQ ] <====> 1.007557E-001 8.992443E-001 [ NZ0 ] <====> 3 [ QQ ^^ MTC ] <====> 7.271652E-001 [ PP x QQ ^^ NZ0 ] <====> 7.326601E-002 ============================================================================== ============================================================================== SUMMARY of PERMUTATION FREQ. COUNTS with TEST FREQ. INTERVAL [ 4 ... 6 ] ============================================================================== RSTAR <========================> [ YES ] The 24-Element PERM in PERM.OUT is [4] or Greater [*]-QUALIFIED !!! (PROB = 7.3266 %) lies in the interval [ 1.0000 % , 100.0 % ] with [ PP % , QQ % ] <====> [ 10.08 % , 89.92 % ] where TTMAX = NZ1 = # of [1]"s = 40 and D(NCT) = RNZ0 - LNZ0 = 3 - 3 = 0 Computed # of Trailing 0"s = NZ0 = 3 MAX. Desired # of Trailing 0"s = M0_MAX = 0 MTC = Total Number of Trailing Right Tail O "s = 3 Total Intersection Freq. Sum = 761 Total # Impacted Indices in Frequency Sum = 40 Total # of STAR EVENTS = 400 Total Frequency Average = .00 ============================================================================== PROB = Pr( Success on the Next Trial ) = 7.33 % ============================================================================== Expected Frequency Cadence = 1 / k = 1 / 10 PROB % / NCT / IRATIO / NZ0 / NZ1 / = 7.33 % / 16 / 10 / 3 / 40 / ODDS IN FAVOR = OIF <=====> 1 / ODDS_AGAINST = 1 / 13 ============================================================================== Last 400 [*]-Qualifying Frequencies <====> 2 3 2 4 2 4 3 0 1 3 2 1 1 3 2 2 2 1 0 4 3 3 2 4 1 4 2 2 1 4 2 3 3 4 1 3 0 2 3 2 1 1 2 1 3 0 0 1 2 4 1 2 0 1 2 3 3 3 1 2 4 2 2 1 3 3 2 0 2 1 2 0 3 1 1 3 1 4 1 1 1 2 1 1 3 2 1 4 3 4 1 1 2 3 0 2 2 1 1 2 2 2 1 2 2 1 3 3 1 3 1 2 3 2 2 1 0 3 1 4 4 1 1 0 2 3 2 2 1 1 3 0 1 2 0 0 1 1 1 3 0 2 2 4 5 1 2 0 1 1 2 1 2 2 2 2 2 1 2 2 2 1 1 3 2 1 1 0 2 1 4 2 2 1 5 3 0 4 2 1 2 2 2 2 2 1 3 1 2 0 2 1 2 2 2 2 2 4 1 1 4 3 2 0 3 1 2 3 0 0 2 1 1 2 4 1 2 2 2 0 1 2 3 1 1 2 2 1 3 3 1 2 0 4 2 2 4 1 2 2 1 2 2 3 0 3 2 1 1 1 1 4 4 0 2 3 2 2 1 2 1 3 1 3 3 3 0 1 0 3 2 1 2 1 3 5 3 2 3 1 2 2 3 1 2 3 2 1 3 5 0 3 4 3 1 1 2 1 1 2 4 3 3 0 2 2 2 4 3 4 0 2 0 1 3 0 3 3 2 3 1 2 4 3 1 1 1 2 1 4 1 3 0 2 1 2 1 4 1 4 1 4 2 3 2 2 1 3 1 2 3 0 0 1 1 2 2 4 3 2 1 0 0 2 0 2 2 1 2 3 3 1 3 1 3 3 2 2 2 3 0 4 1 1 0 3 3 1 1 3 3 0 1 1 1 3 4 0 2 1 Last 400 [*]-Qualifying Frequency Indices <====> 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .10660E+00 .89340E+00 .54204E-01=> PROB % = 5.42 % [ PP,QQ ] <====> 1.065990E-001 8.934010E-001 [ NZ0 ] <====> 6 [ QQ ^^ MTC ] <====> 5.084856E-001 [ PP x QQ ^^ NZ0 ] <====> 5.420405E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .74866E-01 .92513E+00 .98993E-02=> PROB % = .99 % [ PP,QQ ] <====> 7.486631E-002 9.251337E-001 [ NZ0 ] <====> 26 [ QQ ^^ MTC ] <====> 1.322261E-001 [ PP x QQ ^^ NZ0 ] <====> 9.899279E-003 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .10236E+00 .89764E+00 .13154E-01=> PROB % = 1.32 % [ PP,QQ ] <====> 1.023622E-001 8.976378E-001 [ NZ0 ] <====> 19 [ QQ ^^ MTC ] <====> 1.285054E-001 [ PP x QQ ^^ NZ0 ] <====> 1.315410E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .77333E-01 .92267E+00 .10339E-01=> PROB % = 1.03 % [ PP,QQ ] <====> 7.733333E-002 9.226667E-001 [ NZ0 ] <====> 25 [ QQ ^^ MTC ] <====> 1.336967E-001 [ PP x QQ ^^ NZ0 ] <====> 1.033921E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .38265E-01 .96173E+00 .28006E-01=> PROB % = 2.80 % [ PP,QQ ] <====> 3.826531E-002 9.617347E-001 [ NZ0 ] <====> 8 [ QQ ^^ MTC ] <====> 7.318842E-001 [ PP x QQ ^^ NZ0 ] <====> 2.800577E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .10526E+00 .89474E+00 .94183E-01=> PROB % = 9.42 % [ PP,QQ ] <====> 1.052632E-001 8.947368E-001 [ NZ0 ] <====> 1 [ QQ ^^ MTC ] <====> 8.947368E-001 [ PP x QQ ^^ NZ0 ] <====> 9.418283E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .13766E+00 .86234E+00 .14927E-01=> PROB % = 1.49 % [ PP,QQ ] <====> 1.376623E-001 8.623376E-001 [ NZ0 ] <====> 15 [ QQ ^^ MTC ] <====> 1.084327E-001 [ PP x QQ ^^ NZ0 ] <====> 1.492710E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .31169E-01 .96883E+00 .19384E-01=> PROB % = 1.94 % [ PP,QQ ] <====> 3.116883E-002 9.688312E-001 [ NZ0 ] <====> 15 [ QQ ^^ MTC ] <====> 6.219015E-001 [ PP x QQ ^^ NZ0 ] <====> 1.938394E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .52632E-01 .94737E+00 .49861E-01=> PROB % = 4.99 % [ PP,QQ ] <====> 5.263158E-002 9.473684E-001 [ NZ0 ] <====> 1 [ QQ ^^ MTC ] <====> 9.473684E-001 [ PP x QQ ^^ NZ0 ] <====> 4.986150E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .72727E-01 .92727E+00 .23432E-01=> PROB % = 2.34 % [ PP,QQ ] <====> 7.272727E-002 9.272727E-001 [ NZ0 ] <====> 15 [ QQ ^^ MTC ] <====> 3.221902E-001 [ PP x QQ ^^ NZ0 ] <====> 2.343202E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .34667E-01 .96533E+00 .14350E-01=> PROB % = 1.43 % [ PP,QQ ] <====> 3.466666E-002 9.653333E-001 [ NZ0 ] <====> 25 [ QQ ^^ MTC ] <====> 4.139355E-001 [ PP x QQ ^^ NZ0 ] <====> 1.434976E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .92072E-01 .90793E+00 .38600E-01=> PROB % = 3.86 % [ PP,QQ ] <====> 9.207161E-002 9.079284E-001 [ NZ0 ] <====> 9 [ QQ ^^ MTC ] <====> 4.192417E-001 [ PP x QQ ^^ NZ0 ] <====> 3.860025E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .13687E+00 .86313E+00 .28280E-03=> PROB % = .03 % [ PP,QQ ] <====> 1.368715E-001 8.631285E-001 [ NZ0 ] <====> 42 [ QQ ^^ MTC ] <====> 2.066183E-003 [ PP x QQ ^^ NZ0 ] <====> 2.828016E-004 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .74742E-01 .92526E+00 .29425E-01=> PROB % = 2.94 % [ PP,QQ ] <====> 7.474227E-002 9.252577E-001 [ NZ0 ] <====> 12 [ QQ ^^ MTC ] <====> 3.936885E-001 [ PP x QQ ^^ NZ0 ] <====> 2.942517E-002 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .50000E-01 .95000E+00 .50000E-01=> PROB % = 5.00 % [ PP,QQ ] <====> 5.000000E-002 9.500000E-001 [ NZ0 ] <====> 0 [ QQ ^^ MTC ] <====> 1.0000000 [ PP x QQ ^^ NZ0 ] <====> 5.000000E-002 ============================================================================== ============================================================================== SUMMARY of PERMUTATION FREQ. COUNTS with TEST FREQ. INTERVAL [ 4 ... 6 ] ============================================================================== RSTAR <========================> [ YES ] The 24-Element PERM in PERM.OUT is [4] or Greater [*]-QUALIFIED !!! (PROB = 5.0000 %) lies in the interval [ 1.0000 % , 100.0 % ] with [ PP % , QQ % ] <====> [ 5.00 % , 95.00 % ] where TTMAX = NZ1 = # of [1]"s = 20 and D(NCT) = RNZ0 - LNZ0 = 0 - 0 = 0 Computed # of Trailing 0"s = NZ0 = 0 MAX. Desired # of Trailing 0"s = M0_MAX = 0 MTC = Total Number of Trailing Right Tail O "s = 0 Total Intersection Freq. Sum = 683 Total # Impacted Indices in Frequency Sum = 20 Total # of STAR EVENTS = 400 Total Frequency Average = .00 ============================================================================== PROB = Pr( Success on the Next Trial ) = 5.00 % ============================================================================== Expected Frequency Cadence = 1 / k = 1 / 20 PROB % / NCT / IRATIO / NZ0 / NZ1 / = 5.00 % / 29 / 20 / 0 / 20 / ODDS IN FAVOR = OIF <=====> 1 / ODDS_AGAINST = 1 / 20 ============================================================================== Last 400 [*]-Qualifying Frequencies <====> 4 2 3 1 1 1 3 2 1 1 1 1 1 4 1 1 2 0 1 2 1 2 2 3 0 1 3 3 4 0 1 1 4 2 1 1 2 1 1 2 1 3 1 2 2 1 1 2 2 1 1 2 1 4 3 1 2 2 2 1 4 2 2 1 1 1 2 2 2 2 1 3 3 2 0 1 1 4 2 2 1 2 2 1 0 1 1 1 3 2 1 1 0 1 0 2 1 3 0 0 2 0 2 1 2 1 2 2 2 2 0 1 3 1 1 0 0 5 2 3 4 4 1 1 2 2 3 0 1 1 3 2 3 1 2 0 2 0 0 0 3 3 0 3 3 2 1 3 1 1 1 3 1 2 2 1 2 0 4 2 2 1 2 2 2 0 2 3 1 1 2 2 3 0 2 3 0 1 3 3 3 2 2 2 1 3 0 0 3 3 1 0 0 0 3 0 1 2 2 1 3 2 3 2 3 1 3 1 2 0 1 1 2 3 3 1 2 2 1 3 0 1 2 1 1 1 2 3 1 3 2 1 1 1 1 0 1 1 2 1 2 1 1 1 0 2 3 2 3 1 1 1 1 0 0 3 1 2 1 2 1 1 2 2 2 0 2 1 1 3 2 0 1 2 2 3 2 4 1 0 1 4 2 0 4 2 2 1 3 3 0 1 2 0 3 1 3 1 2 0 3 4 1 0 3 1 3 2 2 2 2 0 4 1 3 2 1 1 0 1 2 1 3 1 2 2 3 2 2 1 2 3 1 2 1 1 2 3 2 3 3 1 2 1 0 3 1 2 3 1 2 2 1 2 2 2 1 1 2 2 1 1 2 1 2 3 2 2 3 2 1 3 3 2 3 4 2 1 2 3 2 3 0 1 1 2 2 4 3 1 2 3 2 2 4 1 3 0 1 4 Last 400 [*]-Qualifying Frequency Indices <====> 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 ======================================================================== 24 NZ1 ===> 19 ====> OIF = 1 / 23 ==================> 4.33 % 36 14 7 61 59 70 47 52 64 71 19 45 33 23 46 57 30 68 26 73 43 5 8 37 24 NZ1 ===> 43 ====> OIF = 1 / 25 ==================> 3.85 % 36 75 13 2 15 60 59 3 48 11 18 44 24 64 71 23 66 27 53 28 49 9 5 8 24 NZ1 ===> 40 ====> OIF = 1 / 13 ==================> 7.33 % 13 2 60 59 70 16 48 11 67 64 71 56 40 23 66 53 34 4 49 31 41 5 54 62 24 NZ1 ===> 20 ====> OIF = 1 / 20 ==================> 5.00 % 14 51 50 11 10 18 47 64 65 32 72 19 45 56 21 40 23 34 4 49 74 41 43 5 ========================================================================