============================================================================== x x x CLASS 6/75 for STAT 3664 x x x ============================================================================== BASE SETS (i.e., "STAR EVENTS") analyzed" may possibly number up to 100 EVENTS per execution, 1 ===> OCCURRENCE of an element in a STAR EVENT, 0 ===> Non-OCCURRENCE of an element in a STAR EVENT, and the NUMBER of ELEMENTS analyzed is 75 ============================================================================== 390 Binary Occurrences Over 390 STAR EVENTS for Elt.# [ 1 ] 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 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 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 0 0 1 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 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 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 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 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 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 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 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 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ============================================================================== There exist : 45 [ 1 ] " s and 345 [ 0 ] " s in 390 Trials ============================================================================== where 1 ====> OCCURRENCE of a Specified EVENT and 0 ====> NON-OCCURRENCE of a Specified EVENT ============================================================================== Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION ============================================================================== (PP,QQ,PROB): .11538E+00 .88462E+00 .23440E-01 [ PP,QQ ] <====> 1.153846E-001 8.846154E-001 [ MTC-1 ] <====> 13 [ QQ ^^ MTC-1 ] <====> 2.031460E-001 [ PP x QQ ^^ MTC ] <====> 2.343992E-002 ============================================================================== (PP, QQ, PROB): .11538E+00 .88462E+00 .23440E-01 ==> PROB % = 2.34 % IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) = 2 IDELTA = 100 * PP(L)*(QQ(L) ** (MTC-1) ) <====> 2 NZ2(L) / NZ1(L) = 377 / 45 = 1 / OIF(L) <==> 1 / 8 TTMAX(L) = NZ0(L) - OIF(L) = 13 - 8 = 5.00 ============================================================================== [ TTMAX(L),MDEV,JTC,NZ0(L),NZ1(L) ] <====> 5.00 376 45 13 45 Pr ( EVENT E will OCCUR on the Next Trial ) = Pr ( EVENT E will OCCUR on Trial # 391 ) = OIF(L) = ODDS in FAVOR of L = 1 / OAG(L) = 1 / 8 [ JMAX, MTC, JNDX ] <====> [ 390, 14,377 ] OIF( 1) = ODDS in FAVOR of Success on Next Trial 1 / 8 OAG(L) = ODDS AGAINST <====> 1 / OIF(L) NZ0( 1) = Total Number of Trailing Right Tail O "s = 13 where NZ0(L) <==> # of Trailing [0]"s <==> 13 Over 390 Trials ============================================================================== Frequency Sum for Occurring 1"s = 48 Frequency Sum = # of 1"s OCC. over the last 390 STAR EVENTS = 48 Total # Events = 390 Requested # of STAR INDICES to Back-up from the FINAL STAR EVENT = 390 OCC. CADENCE of 1"s = 1 / RATIO = 1 / .00000 over 390 STAR EVENTS # Trailing Zeros = NZ0(L) = 13 TTMAX(L) = NZ0(L) - OIF(L) = 13 - 8 = 5.00 NZ1(L) = Total # of Successes or [1]"s <=====> 45 Element Occurrence Cadence 1/ IRATIO = 1 / 0 Total # Events = 390 PROB = Pr( SUCCESS on Trial # 391) = .23440E-01 ============================================================================== ODDS in FAVOR of [ 1 ] = 1 / OAG( [ 1 ] ) = 1 / 8 ============================================================================== ============================================================================== 390 Binary Occurrences Over 390 STAR EVENTS for Elt.# [ 2 ] 0 0 1 0 0 0 1 0 0 0 1 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 1 0 1 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 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 1 0 0 0 1 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 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 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 1 0 0 1 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 0 1 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 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 ============================================================================== There exist : 52 [ 1 ] " s and 338 [ 0 ] " s in 390 Trials ============================================================================== where 1 ====> OCCURRENCE of a Specified EVENT and 0 ====> NON-OCCURRENCE of a Specified EVENT ============================================================================== Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION ============================================================================== (PP,QQ,PROB): .13333E+00 .86667E+00 .75222E-01 [ PP,QQ ] <====> 1.333333E-001 8.666667E-001 [ MTC-1 ] <====> 4 [ QQ ^^ MTC-1 ] <====> 5.641680E-001 [ PP x QQ ^^ MTC ] <====> 7.522240E-002 ============================================================================== (PP, QQ, PROB): .13333E+00 .86667E+00 .75222E-01 ==> PROB % = 7.52 % IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) = 8 IDELTA = 100 * PP(L)*(QQ(L) ** (MTC-1) ) <====> 8 NZ2(L) / NZ1(L) = 386 / 51 = 1 / OIF(L) <==> 1 / 8 TTMAX(L) = NZ0(L) - OIF(L) = 4 - 8 = -4.00 ============================================================================== [ TTMAX(L),MDEV,JTC,NZ0(L),NZ1(L) ] <====> -4.00 385 52 4 51 Pr ( EVENT E will OCCUR on the Next Trial ) = Pr ( EVENT E will OCCUR on Trial # 391 ) = OIF(L) = ODDS in FAVOR of L = 1 / OAG(L) = 1 / 8 [ JMAX, MTC, JNDX ] <====> [ 390, 5,386 ] OIF( 2) = ODDS in FAVOR of Success on Next Trial 1 / 8 OAG(L) = ODDS AGAINST <====> 1 / OIF(L) NZ0( 2) = Total Number of Trailing Right Tail O "s = 4 where NZ0(L) <==> # of Trailing [0]"s <==> 4 Over 390 Trials ============================================================================== Frequency Sum for Occurring 1"s = 54 Frequency Sum = # of 1"s OCC. over the last 390 STAR EVENTS = 54 Total # Events = 390 Requested # of STAR INDICES to Back-up from the FINAL STAR EVENT = 390 OCC. CADENCE of 1"s = 1 / RATIO = 1 / 42.66227 over 390 STAR EVENTS # Trailing Zeros = NZ0(L) = 4 TTMAX(L) = NZ0(L) - OIF(L) = 4 - 8 = -4.00 NZ1(L) = Total # of Successes or [1]"s <=====> 51 Element Occurrence Cadence 1/ IRATIO = 1 / 43 Total # Events = 390 PROB = Pr( SUCCESS on Trial # 391) = .75222E-01 ============================================================================== ODDS in FAVOR of [ 2 ] = 1 / OAG( [ 2 ] ) = 1 / 8 ============================================================================== ============================================================================== 390 Binary Occurrences Over 390 STAR EVENTS for Elt.# [ 3 ] 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 1 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 1 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 0 1 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 1 1 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 1 0 0 0 0 1 0 0 0 0 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 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 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 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 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 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 ============================================================================== There exist : 55 [ 1 ] " s and 335 [ 0 ] " s in 390 Trials ============================================================================== where 1 ====> OCCURRENCE of a Specified EVENT and 0 ====> NON-OCCURRENCE of a Specified EVENT ============================================================================== Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION ============================================================================== (PP,QQ,PROB): .14103E+00 .85897E+00 .76775E-01 [ PP,QQ ] <====> 1.410256E-001 8.589743E-001 [ MTC-1 ] <====> 4 [ QQ ^^ MTC-1 ] <====> 5.444033E-001 [ PP x QQ ^^ MTC ] <====> 7.677483E-002 ============================================================================== (PP, QQ, PROB): .14103E+00 .85897E+00 .76775E-01 ==> PROB % = 7.68 % IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) = 8 IDELTA = 100 * PP(L)*(QQ(L) ** (MTC-1) ) <====> 8 NZ2(L) / NZ1(L) = 386 / 55 = 1 / OIF(L) <==> 1 / 7 TTMAX(L) = NZ0(L) - OIF(L) = 4 - 7 = -3.00 ============================================================================== [ TTMAX(L),MDEV,JTC,NZ0(L),NZ1(L) ] <====> -3.00 385 55 4 55 Pr ( EVENT E will OCCUR on the Next Trial ) = Pr ( EVENT E will OCCUR on Trial # 391 ) = OIF(L) = ODDS in FAVOR of L = 1 / OAG(L) = 1 / 7 [ JMAX, MTC, JNDX ] <====> [ 390, 5,386 ] OIF( 3) = ODDS in FAVOR of Success on Next Trial 1 / 7 OAG(L) = ODDS AGAINST <====> 1 / OIF(L) NZ0( 3) = Total Number of Trailing Right Tail O "s = 4 where NZ0(L) <==> # of Trailing [0]"s <==> 4 Over 390 Trials ============================================================================== Frequency Sum for Occurring 1"s = 57 Frequency Sum = # of 1"s OCC. over the last 390 STAR EVENTS = 57 Total # Events = 390 Requested # of STAR INDICES to Back-up from the FINAL STAR EVENT = 390 OCC. CADENCE of 1"s = 1 / RATIO = 1 / 13.29391 over 390 STAR EVENTS # Trailing Zeros = NZ0(L) = 4 TTMAX(L) = NZ0(L) - OIF(L) = 4 - 7 = -3.00 NZ1(L) = Total # of Successes or [1]"s <=====> 55 Element Occurrence Cadence 1/ IRATIO = 1 / 13 Total # Events = 390 PROB = Pr( SUCCESS on Trial # 391) = .76775E-01 ============================================================================== ODDS in FAVOR of [ 3 ] = 1 / OAG( [ 3 ] ) = 1 / 7 ============================================================================== ============================================================================== 390 Binary Occurrences Over 390 STAR EVENTS for Elt.# [ 4 ] 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 0 1 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 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 0 0 0 1 1 0 0 0 1 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 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 0 0 0 0 1 0 1 0 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 0 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 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 1 0 0 0 0 0 1 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 1 0 0 ============================================================================== There exist : 47 [ 1 ] " s and 343 [ 0 ] " s in 390 Trials ============================================================================== where 1 ====> OCCURRENCE of a Specified EVENT and 0 ====> NON-OCCURRENCE of a Specified EVENT ============================================================================== Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION ============================================================================== (PP,QQ,PROB): .12051E+00 .87949E+00 .93216E-01 [ PP,QQ ] <====> 1.205128E-001 8.794872E-001 [ MTC-1 ] <====> 2 [ QQ ^^ MTC-1 ] <====> 7.734976E-001 [ PP x QQ ^^ MTC ] <====> 9.321638E-002 ============================================================================== (PP, QQ, PROB): .12051E+00 .87949E+00 .93216E-01 ==> PROB % = 9.32 % IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) = 9 IDELTA = 100 * PP(L)*(QQ(L) ** (MTC-1) ) <====> 9 NZ2(L) / NZ1(L) = 388 / 47 = 1 / OIF(L) <==> 1 / 8 TTMAX(L) = NZ0(L) - OIF(L) = 2 - 8 = -6.00 ============================================================================== [ TTMAX(L),MDEV,JTC,NZ0(L),NZ1(L) ] <====> -6.00 387 47 2 47 Pr ( EVENT E will OCCUR on the Next Trial ) = Pr ( EVENT E will OCCUR on Trial # 391 ) = OIF(L) = ODDS in FAVOR of L = 1 / OAG(L) = 1 / 8 [ JMAX, MTC, JNDX ] <====> [ 390, 3,388 ] OIF( 4) = ODDS in FAVOR of Success on Next Trial 1 / 8 OAG(L) = ODDS AGAINST <====> 1 / OIF(L) NZ0( 4) = Total Number of Trailing Right Tail O "s = 2 where NZ0(L) <==> # of Trailing [0]"s <==> 2 Over 390 Trials ============================================================================== Frequency Sum for Occurring 1"s = 47 Frequency Sum = # of 1"s OCC. over the last 390 STAR EVENTS = 47 Total # Events = 390 Requested # of STAR INDICES to Back-up from the FINAL STAR EVENT = 390 OCC. CADENCE of 1"s = 1 / RATIO = 1 / 13.02510 over 390 STAR EVENTS # Trailing Zeros = NZ0(L) = 2 TTMAX(L) = NZ0(L) - OIF(L) = 2 - 8 = -6.00 NZ1(L) = Total # of Successes or [1]"s <=====> 47 Element Occurrence Cadence 1/ IRATIO = 1 / 13 Total # Events = 390 PROB = Pr( SUCCESS on Trial # 391) = .93216E-01 ============================================================================== ODDS in FAVOR of [ 4 ] = 1 / OAG( [ 4 ] ) = 1 / 8 ============================================================================== ============================================================================== 390 Binary Occurrences Over 390 STAR EVENTS for Elt.# [ 5 ] 0 1 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 0 0 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 1 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 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 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 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 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 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 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 1 0 0 1 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 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 ============================================================================== There exist : 40 [ 1 ] " s and 350 [ 0 ] " s in 390 Trials ============================================================================== where 1 ====> OCCURRENCE of a Specified EVENT and 0 ====> NON-OCCURRENCE of a Specified EVENT ============================================================================== Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION ============================================================================== (PP,QQ,PROB): .10256E+00 .89744E+00 .43154E-01 [ PP,QQ ] <====> 1.025641E-001 8.974359E-001 [ MTC-1 ] <====> 8 [ QQ ^^ MTC-1 ] <====> 4.207533E-001 [ PP x QQ ^^ MTC ] <====> 4.315418E-002 ============================================================================== (PP, QQ, PROB): .10256E+00 .89744E+00 .43154E-01 ==> PROB % = 4.32 % IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) = 4 IDELTA = 100 * PP(L)*(QQ(L) ** (MTC-1) ) <====> 4 NZ2(L) / NZ1(L) = 382 / 40 = 1 / OIF(L) <==> 1 / 10 TTMAX(L) = NZ0(L) - OIF(L) = 8 - 10 = -2.00 ============================================================================== [ TTMAX(L),MDEV,JTC,NZ0(L),NZ1(L) ] <====> -2.00 381 40 8 40 Pr ( EVENT E will OCCUR on the Next Trial ) = Pr ( EVENT E will OCCUR on Trial # 391 ) = OIF(L) = ODDS in FAVOR of L = 1 / OAG(L) = 1 / 10 [ JMAX, MTC, JNDX ] <====> [ 390, 9,382 ] OIF( 5) = ODDS in FAVOR of Success on Next Trial 1 / 10 OAG(L) = ODDS AGAINST <====> 1 / OIF(L) NZ0( 5) = Total Number of Trailing Right Tail O "s = 8 where NZ0(L) <==> # of Trailing [0]"s <==> 8 Over 390 Trials ============================================================================== Frequency Sum for Occurring 1"s = 43 Frequency Sum = # of 1"s OCC. over the last 390 STAR EVENTS = 43 Total # Events = 390 Requested # of STAR INDICES to Back-up from the FINAL STAR EVENT = 390 OCC. CADENCE of 1"s = 1 / RATIO = 1 / 10.72773 over 390 STAR EVENTS # Trailing Zeros = NZ0(L) = 8 TTMAX(L) = NZ0(L) - OIF(L) = 8 - 10 = -2.00 NZ1(L) = Total # of Successes or [1]"s <=====> 40 Element Occurrence Cadence 1/ IRATIO = 1 / 11 Total # Events = 390 PROB = Pr( SUCCESS on Trial # 391) = .43154E-01 ============================================================================== ODDS in FAVOR of [ 5 ] = 1 / OAG( [ 5 ] ) = 1 / 10 ============================================================================== ============================================================================== 390 Binary Occurrences Over 390 STAR EVENTS for Elt.# [ 6 ] 0 0 0 1 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 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 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 1 1 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 1 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 0 0 0 0 0 0 0 0 0 0 1 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 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 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 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 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 1 0 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 ============================================================================== There exist : 49 [ 1 ] " s and 341 [ 0 ] " s in 390 Trials ============================================================================== where 1 ====> OCCURRENCE of a Specified EVENT and 0 ====> NON-OCCURRENCE of a Specified EVENT ============================================================================== Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION ============================================================================== (PP,QQ,PROB): .12564E+00 .87436E+00 .10986E+00 [ PP,QQ ] <====> 1.256410E-001 8.743590E-001 [ MTC-1 ] <====> 1 [ QQ ^^ MTC-1 ] <====> 8.743590E-001 [ PP x QQ ^^ MTC ] <====> 1.098554E-001 ============================================================================== (PP, QQ, PROB): .12564E+00 .87436E+00 .10986E+00 ==> PROB % = 10.99 % IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) = 11 IDELTA = 100 * PP(L)*(QQ(L) ** (MTC-1) ) <====> 11 NZ2(L) / NZ1(L) = 389 / 49 = 1 / OIF(L) <==> 1 / 8 TTMAX(L) = NZ0(L) - OIF(L) = 1 - 8 = -7.00 ============================================================================== [ TTMAX(L),MDEV,JTC,NZ0(L),NZ1(L) ] <====> -7.00 388 49 1 49 Pr ( EVENT E will OCCUR on the Next Trial ) = Pr ( EVENT E will OCCUR on Trial # 391 ) = OIF(L) = ODDS in FAVOR of L = 1 / OAG(L) = 1 / 8 [ JMAX, MTC, JNDX ] <====> [ 390, 2,389 ] OIF( 6) = ODDS in FAVOR of Success on Next Trial 1 / 8 OAG(L) = ODDS AGAINST <====> 1 / OIF(L) NZ0( 6) = Total Number of Trailing Right Tail O "s = 1 where NZ0(L) <==> # of Trailing [0]"s <==> 1 Over 390 Trials ============================================================================== Frequency Sum for Occurring 1"s = 50 Frequency Sum = # of 1"s OCC. over the last 390 STAR EVENTS = 50 Total # Events = 390 Requested # of STAR INDICES to Back-up from the FINAL STAR EVENT = 390 OCC. CADENCE of 1"s = 1 / RATIO = 1 / 23.17272 over 390 STAR EVENTS # Trailing Zeros = NZ0(L) = 1 TTMAX(L) = NZ0(L) - OIF(L) = 1 - 8 = -7.00 NZ1(L) = Total # of Successes or [1]"s <=====> 49 Element Occurrence Cadence 1/ IRATIO = 1 / 23 Total # Events = 390 PROB = Pr( SUCCESS on Trial # 391) = .10986E+00 ============================================================================== ODDS in FAVOR of [ 6 ] = 1 / OAG( [ 6 ] ) = 1 / 8 ============================================================================== ============================================================================== 390 Binary Occurrences Over 390 STAR EVENTS for Elt.# [ 7 ] 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 0 0 1 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 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 1 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 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 1 0 0 0 0 1 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 1 1 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 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 ============================================================================== There exist : 57 [ 1 ] " s and 333 [ 0 ] " s in 390 Trials ============================================================================== where 1 ====> OCCURRENCE of a Specified EVENT and 0 ====> NON-OCCURRENCE of a Specified EVENT ============================================================================== Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION ============================================================================== (PP,QQ,PROB): .14615E+00 .85385E+00 .35255E-01 [ PP,QQ ] <====> 1.461539E-001 8.538461E-001 [ MTC-1 ] <====> 9 [ QQ ^^ MTC-1 ] <====> 2.412218E-001 [ PP x QQ ^^ MTC ] <====> 3.525550E-002 ============================================================================== (PP, QQ, PROB): .14615E+00 .85385E+00 .35255E-01 ==> PROB % = 3.53 % IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) = 4 IDELTA = 100 * PP(L)*(QQ(L) ** (MTC-1) ) <====> 4 NZ2(L) / NZ1(L) = 381 / 57 = 1 / OIF(L) <==> 1 / 7 TTMAX(L) = NZ0(L) - OIF(L) = 9 - 7 = 2.00 ============================================================================== [ TTMAX(L),MDEV,JTC,NZ0(L),NZ1(L) ] <====> 2.00 380 57 9 57 Pr ( EVENT E will OCCUR on the Next Trial ) = Pr ( EVENT E will OCCUR on Trial # 391 ) = OIF(L) = ODDS in FAVOR of L = 1 / OAG(L) = 1 / 7 [ JMAX, MTC, JNDX ] <====> [ 390, 10,381 ] OIF( 7) = ODDS in FAVOR of Success on Next Trial 1 / 7 OAG(L) = ODDS AGAINST <====> 1 / OIF(L) NZ0( 7) = Total Number of Trailing Right Tail O "s = 9 where NZ0(L) <==> # of Trailing [0]"s <==> 9 Over 390 Trials ============================================================================== Frequency Sum for Occurring 1"s = 59 Frequency Sum = # of 1"s OCC. over the last 390 STAR EVENTS = 59 Total # Events = 390 Requested # of STAR INDICES to Back-up from the FINAL STAR EVENT = 390 OCC. CADENCE of 1"s = 1 / RATIO = 1 / 9.10288 over 390 STAR EVENTS # Trailing Zeros = NZ0(L) = 9 TTMAX(L) = NZ0(L) - OIF(L) = 9 - 7 = 2.00 NZ1(L) = Total # of Successes or [1]"s <=====> 57 Element Occurrence Cadence 1/ IRATIO = 1 / 9 Total # Events = 390 PROB = Pr( SUCCESS on Trial # 391) = .35255E-01 ============================================================================== ODDS in FAVOR of [ 7 ] = 1 / OAG( [ 7 ] ) = 1 / 7 ============================================================================== ============================================================================== 390 Binary Occurrences Over 390 STAR EVENTS for Elt.# [ 8 ] 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 1 0 1 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 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 1 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 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 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 1 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 1 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 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 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 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 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 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 1 0 0 0 0 0 0 ============================================================================== There exist : 47 [ 1 ] " s and 343 [ 0 ] " s in 390 Trials ============================================================================== where 1 ====> OCCURRENCE of a Specified EVENT and 0 ====> NON-OCCURRENCE of a Specified EVENT ============================================================================== Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION ============================================================================== (PP,QQ,PROB): .12051E+00 .87949E+00 .55771E-01 [ PP,QQ ] <====> 1.205128E-001 8.794872E-001 [ MTC-1 ] <====> 6 [ QQ ^^ MTC-1 ] <====> 4.627826E-001 [ PP x QQ ^^ MTC ] <====> 5.577123E-002 ============================================================================== (PP, QQ, PROB): .12051E+00 .87949E+00 .55771E-01 ==> PROB % = 5.58 % IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) = 6 IDELTA = 100 * PP(L)*(QQ(L) ** (MTC-1) ) <====> 6 NZ2(L) / NZ1(L) = 384 / 47 = 1 / OIF(L) <==> 1 / 8 TTMAX(L) = NZ0(L) - OIF(L) = 6 - 8 = -2.00 ============================================================================== [ TTMAX(L),MDEV,JTC,NZ0(L),NZ1(L) ] <====> -2.00 383 47 6 47 Pr ( EVENT E will OCCUR on the Next Trial ) = Pr ( EVENT E will OCCUR on Trial # 391 ) = OIF(L) = ODDS in FAVOR of L = 1 / OAG(L) = 1 / 8 [ JMAX, MTC, JNDX ] <====> [ 390, 7,384 ] OIF( 8) = ODDS in FAVOR of Success on Next Trial 1 / 8 OAG(L) = ODDS AGAINST <====> 1 / OIF(L) NZ0( 8) = Total Number of Trailing Right Tail O "s = 6 where NZ0(L) <==> # of Trailing [0]"s <==> 6 Over 390 Trials ============================================================================== Frequency Sum for Occurring 1"s = 50 Frequency Sum = # of 1"s OCC. over the last 390 STAR EVENTS = 50 Total # Events = 390 Requested # of STAR INDICES to Back-up from the FINAL STAR EVENT = 390 OCC. CADENCE of 1"s = 1 / RATIO = 1 / 28.36438 over 390 STAR EVENTS # Trailing Zeros = NZ0(L) = 6 TTMAX(L) = NZ0(L) - OIF(L) = 6 - 8 = -2.00 NZ1(L) = Total # of Successes or [1]"s <=====> 47 Element Occurrence Cadence 1/ IRATIO = 1 / 28 Total # Events = 390 PROB = Pr( SUCCESS on Trial # 391) = .55771E-01 ============================================================================== ODDS in FAVOR of [ 8 ] = 1 / OAG( [ 8 ] ) = 1 / 8 ============================================================================== ============================================================================== 390 Binary Occurrences Over 390 STAR EVENTS for Elt.# [ 9 ] 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 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 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 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 1 0 0 0 0 0 0 0 1 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 1 0 0 1 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 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 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 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 1 0 0 0 0 0 0 1 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 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 1 0 1 0 0 0 0 0 ============================================================================== There exist : 51 [ 1 ] " s and 339 [ 0 ] " s in 390 Trials ============================================================================== where 1 ====> OCCURRENCE of a Specified EVENT and 0 ====> NON-OCCURRENCE of a Specified EVENT ============================================================================== Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION ============================================================================== (PP,QQ,PROB): .13077E+00 .86923E+00 .64890E-01 [ PP,QQ ] <====> 1.307692E-001 8.692307E-001 [ MTC-1 ] <====> 5 [ QQ ^^ MTC-1 ] <====> 4.962213E-001 [ PP x QQ ^^ MTC ] <====> 6.489048E-002 ============================================================================== (PP, QQ, PROB): .13077E+00 .86923E+00 .64890E-01 ==> PROB % = 6.49 % IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) = 6 IDELTA = 100 * PP(L)*(QQ(L) ** (MTC-1) ) <====> 6 NZ2(L) / NZ1(L) = 385 / 51 = 1 / OIF(L) <==> 1 / 8 TTMAX(L) = NZ0(L) - OIF(L) = 5 - 8 = -3.00 ============================================================================== [ TTMAX(L),MDEV,JTC,NZ0(L),NZ1(L) ] <====> -3.00 384 51 5 51 Pr ( EVENT E will OCCUR on the Next Trial ) = Pr ( EVENT E will OCCUR on Trial # 391 ) = OIF(L) = ODDS in FAVOR of L = 1 / OAG(L) = 1 / 8 [ JMAX, MTC, JNDX ] <====> [ 390, 6,385 ] OIF( 9) = ODDS in FAVOR of Success on Next Trial 1 / 8 OAG(L) = ODDS AGAINST <====> 1 / OIF(L) NZ0( 9) = Total Number of Trailing Right Tail O "s = 5 where NZ0(L) <==> # of Trailing [0]"s <==> 5 Over 390 Trials ============================================================================== Frequency Sum for Occurring 1"s = 53 Frequency Sum = # of 1"s OCC. over the last 390 STAR EVENTS = 53 Total # Events = 390 Requested # of STAR INDICES to Back-up from the FINAL STAR EVENT = 390 OCC. CADENCE of 1"s = 1 / RATIO = 1 / 17.93039 over 390 STAR EVENTS # Trailing Zeros = NZ0(L) = 5 TTMAX(L) = NZ0(L) - OIF(L) = 5 - 8 = -3.00 NZ1(L) = Total # of Successes or [1]"s <=====> 51 Element Occurrence Cadence 1/ IRATIO = 1 / 18 Total # Events = 390 PROB = Pr( SUCCESS on Trial # 391) = .64890E-01 ============================================================================== ODDS in FAVOR of [ 9 ] = 1 / OAG( [ 9 ] ) = 1 / 8 ============================================================================== ============================================================================== ============================================================================== x x x CLASS 6/75 for STAT 3664 x x x ============================================================================== ============================================================================== Pr(L) for L = 1, 2, 3, ... , 75 vs. 5 28 33 38 42 19 ============================================================================== ----- ------------- ------------- -------- ------- L PP(L) QQ(L) Pr(L) TTMAX(L) ----- ------------- ------------- -------- ------- 55) . .43589740E-01 .95641020E+00 4.17 % -22.00 1. ----- ------------- ------------- -------- ------- 71) . .53846150E-01 .94615380E+00 5.38 % -19.00 2. ----- ------------- ------------- -------- ------- 64) . .53846150E-01 .94615380E+00 5.09 % -18.00 3. ----- ------------- ------------- -------- ------- 52) . .51282050E-01 .94871800E+00 4.62 % -17.00 4. ----- ------------- ------------- -------- ------- 16) . .64102570E-01 .93589740E+00 6.41 % -16.00 5. ----- ------------- ------------- -------- ------- 63) . .56410260E-01 .94358970E+00 4.47 % -14.00 6. ----- ------------- ------------- -------- ------- 39) . .69230770E-01 .93076920E+00 6.92 % -14.00 7. ----- ------------- ------------- -------- ------- 67) . .41025640E-01 .95897440E+00 2.70 % -14.00 8. ----- ------------- ------------- -------- ------- 47) . .69230770E-01 .93076920E+00 6.92 % -14.00 9. ----- ------------- ------------- -------- ------- 38) x .66666670E-01 .93333330E+00 6.22 % -14.00 10. ----- ------------- ------------- -------- ------- 21) . .66666670E-01 .93333330E+00 5.81 % -13.00 11. ----- ------------- ------------- -------- ------- 53) . .74358980E-01 .92564100E+00 7.44 % -13.00 12. ----- ------------- ------------- -------- ------- 57) . .66666670E-01 .93333330E+00 5.81 % -13.00 13. ----- ------------- ------------- -------- ------- 22) . .53846150E-01 .94615380E+00 4.08 % -13.00 14. ----- ------------- ------------- -------- ------- 74) . .66666670E-01 .93333330E+00 5.42 % -12.00 15. ----- ------------- ------------- -------- ------- 75) . .58974360E-01 .94102560E+00 4.10 % -11.00 16. ----- ------------- ------------- -------- ------- 18) . .61538460E-01 .93846150E+00 4.48 % -11.00 17. ----- ------------- ------------- -------- ------- 72) . .48717950E-01 .95128200E+00 3.11 % -11.00 18. ----- ------------- ------------- -------- ------- 66) . .69230770E-01 .93076920E+00 5.58 % -11.00 19. ----- ------------- ------------- -------- ------- 51) . .84615390E-01 .91538460E+00 7.75 % -11.00 20. ----- ------------- ------------- -------- ------- 45) . .87179490E-01 .91282050E+00 7.26 % -9.00 21. ----- ------------- ------------- -------- ------- 27) . .66666670E-01 .93333330E+00 4.41 % -9.00 22. ----- ------------- ------------- -------- ------- 62) . .64102570E-01 .93589740E+00 4.31 % -9.00 23. ----- ------------- ------------- -------- ------- 20) . .92307690E-01 .90769230E+00 6.90 % -8.00 24. ----- ------------- ------------- -------- ------- 42) x .58974360E-01 .94102560E+00 3.41 % -8.00 25. ----- ------------- ------------- -------- ------- 30) . .76923080E-01 .92307690E+00 5.16 % -8.00 26. ----- ------------- ------------- -------- ------- 26) . .74358980E-01 .92564100E+00 5.05 % -8.00 27. ----- ------------- ------------- -------- ------- 44) . .79487180E-01 .92051280E+00 5.25 % -7.00 28. ----- ------------- ------------- -------- ------- 10) . .12820510E+00 .87179490E+00 11.18 % -7.00 29. ----- ------------- ------------- -------- ------- 41) . .89743590E-01 .91025640E+00 6.16 % -7.00 30. ----- ------------- ------------- -------- ------- 6) . .12564100E+00 .87435900E+00 10.99 % -7.00 31. ----- ------------- ------------- -------- ------- 49) . .89743590E-01 .91025640E+00 6.16 % -7.00 32. ----- ------------- ------------- -------- ------- 15) . .14358970E+00 .85641030E+00 14.36 % -7.00 33. ----- ------------- ------------- -------- ------- 60) . .51282050E-01 .94871800E+00 2.73 % -7.00 34. ----- ------------- ------------- -------- ------- 32) . .58974360E-01 .94102560E+00 3.21 % -7.00 35. ----- ------------- ------------- -------- ------- 12) . .11538460E+00 .88461540E+00 7.99 % -6.00 36. ----- ------------- ------------- -------- ------- 37) . .74358980E-01 .92564100E+00 4.33 % -6.00 37. ----- ------------- ------------- -------- ------- 69) . .66666670E-01 .93333330E+00 3.58 % -6.00 38. ----- ------------- ------------- -------- ------- 68) . .79487180E-01 .92051280E+00 4.84 % -6.00 39. ----- ------------- ------------- -------- ------- 14) . .13076920E+00 .86923070E+00 9.88 % -6.00 40. ----- ------------- ------------- -------- ------- 4) . .12051280E+00 .87948720E+00 9.32 % -6.00 41. ----- ------------- ------------- -------- ------- 33) x .82051280E-01 .91794870E+00 4.51 % -5.00 42. ----- ------------- ------------- -------- ------- 28) x .79487180E-01 .92051280E+00 4.45 % -5.00 43. ----- ------------- ------------- -------- ------- 11) . .13846150E+00 .86153850E+00 8.85 % -4.00 44. ----- ------------- ------------- -------- ------- 2) . .13333330E+00 .86666670E+00 7.52 % -4.00 45. ----- ------------- ------------- -------- ------- 9) . .13076920E+00 .86923070E+00 6.49 % -3.00 46. ----- ------------- ------------- -------- ------- 3) . .14102560E+00 .85897430E+00 7.68 % -3.00 47. ----- ------------- ------------- -------- ------- 56) . .74358980E-01 .92564100E+00 3.18 % -2.00 48. ----- ------------- ------------- -------- ------- 5) x .10256410E+00 .89743590E+00 4.32 % -2.00 49. ----- ------------- ------------- -------- ------- 8) . .12051280E+00 .87948720E+00 5.58 % -2.00 50. ----- ------------- ------------- -------- ------- 17) . .71794870E-01 .92820510E+00 2.94 % -2.00 51. ----- ------------- ------------- -------- ------- 24) . .64102570E-01 .93589740E+00 2.71 % -2.00 52. ----- ------------- ------------- -------- ------- 43) . .48717950E-01 .95128200E+00 1.98 % -2.00 53. ----- ------------- ------------- -------- ------- 40) . .46153850E-01 .95384620E+00 1.79 % -1.00 54. ----- ------------- ------------- -------- ------- 73) . .58974360E-01 .94102560E+00 2.23 % .00 55. ----- ------------- ------------- -------- ------- 25) . .84615390E-01 .91538460E+00 3.20 % .00 56. ----- ------------- ------------- -------- ------- 34) . .64102570E-01 .93589740E+00 2.37 % .00 57. ----- ------------- ------------- -------- ------- 23) . .58974360E-01 .94102560E+00 2.10 % 1.00 58. ----- ------------- ------------- -------- ------- 7) . .14615390E+00 .85384610E+00 3.53 % 2.00 59. ----- ------------- ------------- -------- ------- 13) . .11282050E+00 .88717950E+00 2.68 % 3.00 60. ----- ------------- ------------- -------- ------- 35) . .94871800E-01 .90512820E+00 2.35 % 4.00 61. ----- ------------- ------------- -------- ------- 58) . .74358980E-01 .92564100E+00 1.85 % 5.00 62. ----- ------------- ------------- -------- ------- 1) . .11538460E+00 .88461540E+00 2.34 % 5.00 63. ----- ------------- ------------- -------- ------- 29) . .94871800E-01 .90512820E+00 1.93 % 6.00 64. ----- ------------- ------------- -------- ------- 19) x .58974360E-01 .94102560E+00 1.37 % 8.00 65. ----- ------------- ------------- -------- ------- 31) . .87179490E-01 .91282050E+00 1.54 % 8.00 66. ----- ------------- ------------- -------- ------- 50) . .76923080E-01 .92307690E+00 1.55 % 8.00 67. ----- ------------- ------------- -------- ------- 61) . .46153850E-01 .95384620E+00 1.17 % 9.00 68. ----- ------------- ------------- -------- ------- 70) . .48717950E-01 .95128200E+00 .94 % 14.00 69. ----- ------------- ------------- -------- ------- 46) . .74358980E-01 .92564100E+00 .85 % 16.00 70. ----- ------------- ------------- -------- ------- 59) . .61538460E-01 .93846150E+00 .81 % 17.00 71. ----- ------------- ------------- -------- ------- 48) . .58974360E-01 .94102560E+00 .70 % 20.00 72. ----- ------------- ------------- -------- ------- 54) . .69230770E-01 .93076920E+00 .27 % 32.00 73. ----- ------------- ------------- -------- ------- 65) . .53846150E-01 .94615380E+00 .24 % 40.00 74. ----- ------------- ------------- -------- ------- 36) . .58974360E-01 .94102560E+00 .18 % 43.00 75. ----- ------------- ------------- -------- ------- ============================================================================== Pr(L) for L = 1, 2, 3, ... , 75 vs. 5 28 33 38 42 19 ============================================================================== ----- ------------- ------------- -------- ------- L PP(L) QQ(L) Pr(L) TTMAX(L) ----- ------------- ------------- -------- ------- 15) . .14358970E+00 .85641030E+00 14.36 % -7.00 1. ----- ------------- ------------- -------- ------- 10) . .12820510E+00 .87179490E+00 11.18 % -7.00 2. ----- ------------- ------------- -------- ------- 6) . .12564100E+00 .87435900E+00 10.99 % -7.00 3. ----- ------------- ------------- -------- ------- 14) . .13076920E+00 .86923070E+00 9.88 % -6.00 4. ----- ------------- ------------- -------- ------- 4) . .12051280E+00 .87948720E+00 9.32 % -6.00 5. ----- ------------- ------------- -------- ------- 11) . .13846150E+00 .86153850E+00 8.85 % -4.00 6. ----- ------------- ------------- -------- ------- 12) . .11538460E+00 .88461540E+00 7.99 % -6.00 7. ----- ------------- ------------- -------- ------- 51) . .84615390E-01 .91538460E+00 7.75 % -11.00 8. ----- ------------- ------------- -------- ------- 3) . .14102560E+00 .85897430E+00 7.68 % -3.00 9. ----- ------------- ------------- -------- ------- 2) . .13333330E+00 .86666670E+00 7.52 % -4.00 10. ----- ------------- ------------- -------- ------- 53) . .74358980E-01 .92564100E+00 7.44 % -13.00 11. ----- ------------- ------------- -------- ------- 45) . .87179490E-01 .91282050E+00 7.26 % -9.00 12. ----- ------------- ------------- -------- ------- 47) . .69230770E-01 .93076920E+00 6.92 % -14.00 13. ----- ------------- ------------- -------- ------- 39) . .69230770E-01 .93076920E+00 6.92 % -14.00 14. ----- ------------- ------------- -------- ------- 20) . .92307690E-01 .90769230E+00 6.90 % -8.00 15. ----- ------------- ------------- -------- ------- 9) . .13076920E+00 .86923070E+00 6.49 % -3.00 16. ----- ------------- ------------- -------- ------- 16) . .64102570E-01 .93589740E+00 6.41 % -16.00 17. ----- ------------- ------------- -------- ------- 38) x .66666670E-01 .93333330E+00 6.22 % -14.00 18. ----- ------------- ------------- -------- ------- 49) . .89743590E-01 .91025640E+00 6.16 % -7.00 19. ----- ------------- ------------- -------- ------- 41) . .89743590E-01 .91025640E+00 6.16 % -7.00 20. ----- ------------- ------------- -------- ------- 57) . .66666670E-01 .93333330E+00 5.81 % -13.00 21. ----- ------------- ------------- -------- ------- 21) . .66666670E-01 .93333330E+00 5.81 % -13.00 22. ----- ------------- ------------- -------- ------- 66) . .69230770E-01 .93076920E+00 5.58 % -11.00 23. ----- ------------- ------------- -------- ------- 8) . .12051280E+00 .87948720E+00 5.58 % -2.00 24. ----- ------------- ------------- -------- ------- 74) . .66666670E-01 .93333330E+00 5.42 % -12.00 25. ----- ------------- ------------- -------- ------- 71) . .53846150E-01 .94615380E+00 5.38 % -19.00 26. ----- ------------- ------------- -------- ------- 44) . .79487180E-01 .92051280E+00 5.25 % -7.00 27. ----- ------------- ------------- -------- ------- 30) . .76923080E-01 .92307690E+00 5.16 % -8.00 28. ----- ------------- ------------- -------- ------- 64) . .53846150E-01 .94615380E+00 5.09 % -18.00 29. ----- ------------- ------------- -------- ------- 26) . .74358980E-01 .92564100E+00 5.05 % -8.00 30. ----- ------------- ------------- -------- ------- 68) . .79487180E-01 .92051280E+00 4.84 % -6.00 31. ----- ------------- ------------- -------- ------- 52) . .51282050E-01 .94871800E+00 4.62 % -17.00 32. ----- ------------- ------------- -------- ------- 33) x .82051280E-01 .91794870E+00 4.51 % -5.00 33. ----- ------------- ------------- -------- ------- 18) . .61538460E-01 .93846150E+00 4.48 % -11.00 34. ----- ------------- ------------- -------- ------- 63) . .56410260E-01 .94358970E+00 4.47 % -14.00 35. ----- ------------- ------------- -------- ------- 28) x .79487180E-01 .92051280E+00 4.45 % -5.00 36. ----- ------------- ------------- -------- ------- 27) . .66666670E-01 .93333330E+00 4.41 % -9.00 37. ----- ------------- ------------- -------- ------- 37) . .74358980E-01 .92564100E+00 4.33 % -6.00 38. ----- ------------- ------------- -------- ------- 5) x .10256410E+00 .89743590E+00 4.32 % -2.00 39. ----- ------------- ------------- -------- ------- 62) . .64102570E-01 .93589740E+00 4.31 % -9.00 40. ----- ------------- ------------- -------- ------- 55) . .43589740E-01 .95641020E+00 4.17 % -22.00 41. ----- ------------- ------------- -------- ------- 75) . .58974360E-01 .94102560E+00 4.10 % -11.00 42. ----- ------------- ------------- -------- ------- 22) . .53846150E-01 .94615380E+00 4.08 % -13.00 43. ----- ------------- ------------- -------- ------- 69) . .66666670E-01 .93333330E+00 3.58 % -6.00 44. ----- ------------- ------------- -------- ------- 7) . .14615390E+00 .85384610E+00 3.53 % 2.00 45. ----- ------------- ------------- -------- ------- 42) x .58974360E-01 .94102560E+00 3.41 % -8.00 46. ----- ------------- ------------- -------- ------- 32) . .58974360E-01 .94102560E+00 3.21 % -7.00 47. ----- ------------- ------------- -------- ------- 25) . .84615390E-01 .91538460E+00 3.20 % .00 48. ----- ------------- ------------- -------- ------- 56) . .74358980E-01 .92564100E+00 3.18 % -2.00 49. ----- ------------- ------------- -------- ------- 72) . .48717950E-01 .95128200E+00 3.11 % -11.00 50. ----- ------------- ------------- -------- ------- 17) . .71794870E-01 .92820510E+00 2.94 % -2.00 51. ----- ------------- ------------- -------- ------- 60) . .51282050E-01 .94871800E+00 2.73 % -7.00 52. ----- ------------- ------------- -------- ------- 24) . .64102570E-01 .93589740E+00 2.71 % -2.00 53. ----- ------------- ------------- -------- ------- 67) . .41025640E-01 .95897440E+00 2.70 % -14.00 54. ----- ------------- ------------- -------- ------- 13) . .11282050E+00 .88717950E+00 2.68 % 3.00 55. ----- ------------- ------------- -------- ------- 34) . .64102570E-01 .93589740E+00 2.37 % .00 56. ----- ------------- ------------- -------- ------- 35) . .94871800E-01 .90512820E+00 2.35 % 4.00 57. ----- ------------- ------------- -------- ------- 1) . .11538460E+00 .88461540E+00 2.34 % 5.00 58. ----- ------------- ------------- -------- ------- 73) . .58974360E-01 .94102560E+00 2.23 % .00 59. ----- ------------- ------------- -------- ------- 23) . .58974360E-01 .94102560E+00 2.10 % 1.00 60. ----- ------------- ------------- -------- ------- 43) . .48717950E-01 .95128200E+00 1.98 % -2.00 61. ----- ------------- ------------- -------- ------- 29) . .94871800E-01 .90512820E+00 1.93 % 6.00 62. ----- ------------- ------------- -------- ------- 58) . .74358980E-01 .92564100E+00 1.85 % 5.00 63. ----- ------------- ------------- -------- ------- 40) . .46153850E-01 .95384620E+00 1.79 % -1.00 64. ----- ------------- ------------- -------- ------- 50) . .76923080E-01 .92307690E+00 1.55 % 8.00 65. ----- ------------- ------------- -------- ------- 31) . .87179490E-01 .91282050E+00 1.54 % 8.00 66. ----- ------------- ------------- -------- ------- 19) x .58974360E-01 .94102560E+00 1.37 % 8.00 67. ----- ------------- ------------- -------- ------- 61) . .46153850E-01 .95384620E+00 1.17 % 9.00 68. ----- ------------- ------------- -------- ------- 70) . .48717950E-01 .95128200E+00 .94 % 14.00 69. ----- ------------- ------------- -------- ------- 46) . .74358980E-01 .92564100E+00 .85 % 16.00 70. ----- ------------- ------------- -------- ------- 59) . .61538460E-01 .93846150E+00 .81 % 17.00 71. ----- ------------- ------------- -------- ------- 48) . .58974360E-01 .94102560E+00 .70 % 20.00 72. ----- ------------- ------------- -------- ------- 54) . .69230770E-01 .93076920E+00 .27 % 32.00 73. ----- ------------- ------------- -------- ------- 65) . .53846150E-01 .94615380E+00 .24 % 40.00 74. ----- ------------- ------------- -------- ------- 36) . .58974360E-01 .94102560E+00 .18 % 43.00 75. ----- ------------- ------------- -------- ------- ============================================================================== Pr(L) for L = 1, 2, 3, ... , 75 vs. 5 28 33 38 42 19 ============================================================================== ----- --------------- --------------- ------- L PP(L) QQ(L) NZ0(L) ----- --------------- --------------- ------- 39) . .69230770E-01 .93076920E+00 0. 1. ----- --------------- --------------- ------- 53) . .74358980E-01 .92564100E+00 0. 2. ----- --------------- --------------- ------- 16) . .64102570E-01 .93589740E+00 0. 3. ----- --------------- --------------- ------- 47) . .69230770E-01 .93076920E+00 0. 4. ----- --------------- --------------- ------- 71) . .53846150E-01 .94615380E+00 0. 5. ----- --------------- --------------- ------- 15) . .14358970E+00 .85641030E+00 0. 6. ----- --------------- --------------- ------- 51) . .84615390E-01 .91538460E+00 1. 7. ----- --------------- --------------- ------- 10) . .12820510E+00 .87179490E+00 1. 8. ----- --------------- --------------- ------- 55) . .43589740E-01 .95641020E+00 1. 9. ----- --------------- --------------- ------- 38) x .66666670E-01 .93333330E+00 1. 10. ----- --------------- --------------- ------- 64) . .53846150E-01 .94615380E+00 1. 11. ----- --------------- --------------- ------- 6) . .12564100E+00 .87435900E+00 1. 12. ----- --------------- --------------- ------- 4) . .12051280E+00 .87948720E+00 2. 13. ----- --------------- --------------- ------- 52) . .51282050E-01 .94871800E+00 2. 14. ----- --------------- --------------- ------- 45) . .87179490E-01 .91282050E+00 2. 15. ----- --------------- --------------- ------- 21) . .66666670E-01 .93333330E+00 2. 16. ----- --------------- --------------- ------- 57) . .66666670E-01 .93333330E+00 2. 17. ----- --------------- --------------- ------- 14) . .13076920E+00 .86923070E+00 2. 18. ----- --------------- --------------- ------- 11) . .13846150E+00 .86153850E+00 3. 19. ----- --------------- --------------- ------- 74) . .66666670E-01 .93333330E+00 3. 20. ----- --------------- --------------- ------- 20) . .92307690E-01 .90769230E+00 3. 21. ----- --------------- --------------- ------- 12) . .11538460E+00 .88461540E+00 3. 22. ----- --------------- --------------- ------- 66) . .69230770E-01 .93076920E+00 3. 23. ----- --------------- --------------- ------- 2) . .13333330E+00 .86666670E+00 4. 24. ----- --------------- --------------- ------- 3) . .14102560E+00 .85897430E+00 4. 25. ----- --------------- --------------- ------- 41) . .89743590E-01 .91025640E+00 4. 26. ----- --------------- --------------- ------- 63) . .56410260E-01 .94358970E+00 4. 27. ----- --------------- --------------- ------- 49) . .89743590E-01 .91025640E+00 4. 28. ----- --------------- --------------- ------- 44) . .79487180E-01 .92051280E+00 5. 29. ----- --------------- --------------- ------- 30) . .76923080E-01 .92307690E+00 5. 30. ----- --------------- --------------- ------- 22) . .53846150E-01 .94615380E+00 5. 31. ----- --------------- --------------- ------- 9) . .13076920E+00 .86923070E+00 5. 32. ----- --------------- --------------- ------- 18) . .61538460E-01 .93846150E+00 5. 33. ----- --------------- --------------- ------- 26) . .74358980E-01 .92564100E+00 5. 34. ----- --------------- --------------- ------- 75) . .58974360E-01 .94102560E+00 6. 35. ----- --------------- --------------- ------- 68) . .79487180E-01 .92051280E+00 6. 36. ----- --------------- --------------- ------- 8) . .12051280E+00 .87948720E+00 6. 37. ----- --------------- --------------- ------- 27) . .66666670E-01 .93333330E+00 6. 38. ----- --------------- --------------- ------- 62) . .64102570E-01 .93589740E+00 6. 39. ----- --------------- --------------- ------- 37) . .74358980E-01 .92564100E+00 7. 40. ----- --------------- --------------- ------- 28) x .79487180E-01 .92051280E+00 7. 41. ----- --------------- --------------- ------- 33) x .82051280E-01 .91794870E+00 7. 42. ----- --------------- --------------- ------- 5) x .10256410E+00 .89743590E+00 8. 43. ----- --------------- --------------- ------- 42) x .58974360E-01 .94102560E+00 9. 44. ----- --------------- --------------- ------- 72) . .48717950E-01 .95128200E+00 9. 45. ----- --------------- --------------- ------- 7) . .14615390E+00 .85384610E+00 9. 46. ----- --------------- --------------- ------- 69) . .66666670E-01 .93333330E+00 9. 47. ----- --------------- --------------- ------- 67) . .41025640E-01 .95897440E+00 10. 48. ----- --------------- --------------- ------- 32) . .58974360E-01 .94102560E+00 10. 49. ----- --------------- --------------- ------- 25) . .84615390E-01 .91538460E+00 11. 50. ----- --------------- --------------- ------- 56) . .74358980E-01 .92564100E+00 11. 51. ----- --------------- --------------- ------- 13) . .11282050E+00 .88717950E+00 12. 52. ----- --------------- --------------- ------- 60) . .51282050E-01 .94871800E+00 12. 53. ----- --------------- --------------- ------- 17) . .71794870E-01 .92820510E+00 12. 54. ----- --------------- --------------- ------- 1) . .11538460E+00 .88461540E+00 13. 55. ----- --------------- --------------- ------- 24) . .64102570E-01 .93589740E+00 13. 56. ----- --------------- --------------- ------- 35) . .94871800E-01 .90512820E+00 14. 57. ----- --------------- --------------- ------- 34) . .64102570E-01 .93589740E+00 15. 58. ----- --------------- --------------- ------- 73) . .58974360E-01 .94102560E+00 16. 59. ----- --------------- --------------- ------- 29) . .94871800E-01 .90512820E+00 16. 60. ----- --------------- --------------- ------- 23) . .58974360E-01 .94102560E+00 17. 61. ----- --------------- --------------- ------- 58) . .74358980E-01 .92564100E+00 18. 62. ----- --------------- --------------- ------- 43) . .48717950E-01 .95128200E+00 18. 63. ----- --------------- --------------- ------- 31) . .87179490E-01 .91282050E+00 19. 64. ----- --------------- --------------- ------- 40) . .46153850E-01 .95384620E+00 20. 65. ----- --------------- --------------- ------- 50) . .76923080E-01 .92307690E+00 20. 66. ----- --------------- --------------- ------- 19) x .58974360E-01 .94102560E+00 24. 67. ----- --------------- --------------- ------- 46) . .74358980E-01 .92564100E+00 28. 68. ----- --------------- --------------- ------- 61) . .46153850E-01 .95384620E+00 29. 69. ----- --------------- --------------- ------- 59) . .61538460E-01 .93846150E+00 32. 70. ----- --------------- --------------- ------- 70) . .48717950E-01 .95128200E+00 33. 71. ----- --------------- --------------- ------- 48) . .58974360E-01 .94102560E+00 35. 72. ----- --------------- --------------- ------- 54) . .69230770E-01 .93076920E+00 45. 73. ----- --------------- --------------- ------- 65) . .53846150E-01 .94615380E+00 56. 74. ----- --------------- --------------- ------- 36) . .58974360E-01 .94102560E+00 57. 75. ----- --------------- --------------- -------