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HAND LENGTH TEST - random shooter Smart Craps, version 1.42, by DeepNet Technologies. Copyright 2004. All rights reserved. E-mail: info@deepnettech.com Web: info@deepnettech.com This is a generated craps simulation report file. It describes the results of a simulation of a specified game of craps. This program is properly registered. Thank you for purchasing Smart Craps. SIMULATION SETUP Craps game setup: Minimum table bet: $30.00 No maximum table limit (no ceiling on bet size) Up to 1 times odds permitted Odds wagers allowed with payout over the table maximum Automatic odds wagers (does not apply to lay odds bets): - rounded up such that the payout is to the even $1.00 (i.e. if set to $5, with single odds, the maximum odds owager on $15 original bet with a point roll of 6 is: $25. With 6:5 odds, a $15 bet pays $18, and $30 is nearest payout to $5, which is a $25 bet). The buy and lay bet vig/commission is: 5% You pay a commission/vig on lost buy/lay bets The vig/commission leeway on bets is $1.00 (i.e. if set to $10 with a 5% vig, then you pay a $1 commission on bets up to and including $30. A $20 bet would have a $1.00 vig exactly, so a $10 leeway allows a $30 bet. At $31, the vig would be $2). The vig is computed to the nearest dollar (i.e. if set to the nearest 50 cents, a $30 buy bet would have a $1.50 commission with a 5% vig, instead of $1 or $2) Place bet odds for 6 and 8 are: 7 to 6 Place bet odds for 5 and 9 are: 7 to 5 Place bet odds for 4 and 10 are: 9 to 5 Field bet odds for a 2 point are: 2 to 1 Field bet odds for a 12 point are: 2 to 1 Big 6 and 8 bets odds are: 1 to 1 Any 7 bet odds are: 4 to 1 Any craps bet odds are: 7 to 1 Craps 2 bet odds are: 30 to 1 Craps 3 bet odds are: 15 to 1 Craps 12 bet odds are: 30 to 1 Yo 11 bet odds are: 15 to 1 hardway 4 and 10 odds are: 7 to 1 hardway 6 and 8 odds are: 9 to 1 Betting modules in use: 1) Flat Betting Module Betting systems in use: 1) Shooter 1 - pass - Betting module: Flat Betting Module - Bet type: pass - betting exactly: 30 - following bets with maximum odds allowed (only for pass/don't pass bets) - point for bets (only used for certain bets types): 6 - bet only on the come out roll - for applicable bet types, the bets are 'off' on the come out roll - come out dice set for Pro Test rolls: left die: T1F3, right die: T1F3 - 4/10 dice set for Pro Test rolls: left die: T1F3, right die: T1F3 - 5/9 dice set for Pro Test rolls: left die: T1F3, right die: T1F3 - 6/8 dice set for Pro Test rolls: left die: T1F3, right die: T1F3 - SRR usage for come out rolls: shooter's minimum SRR - SRR usage for point rolls: shooter's maximum SRR Shooters in use: 1) Shooter 1 - random: - Bet system: Shooter 1 - pass - Throw style: Random Table spots: Spot # 1 walkups: Walkup # 1: - shooter: Shooter 1 - random - frequency: 1 (proportionate to other walkup frequencies for this shooter) - duration: 50 (# of throws walkup will stay around) - betting as this walkup/shooter does SIMULATION RESULTS Win/loss rates: *** Expectation: -0.816133% (total of all wins and losses, divided by the total of all bets made) Average earnings/loss per throw: -$0.120901 Average earnings/loss per betting event: -$0.244840 Average earnings/loss per hand: -$1.030945 Average earnings/loss per hour: -$12.090099 Average # of bets/hour: 49.4 (assumes 100 throws per hour) Simulation statistics: Intended # of rounds in simulation: 10,000,000 Actual # of rounds completed: 10,000,001 Each round is a: bet (a single betting event) Random seed: 12345 Start time for simulation: Mon Apr 04 17:23:54 2005 End time for simulation: Mon Apr 04 17:24:20 2005 Elapsed simulation time: 00:00:26 Total # of hands: 2,374,908 Average # of throws/hand: 8.53 Longest hand (in throws): 105 50% of hands are of throw length 6.96 or more (median value) 5% of hands are of throw length 23.44 or more 1% of hands are of throw length 34.95 or more Inferred probability of hand ending per round (seven out): 13.0425% Distribution table of hands by length (2,374,908 hands in total): Hand length Frequency Prob. for hand Prob. hand >= Expected prob. 1 0 0.00% 100.00% 100.00% 2 263,892 11.11% 100.00% 100.00% 3 276,883 11.66% 88.89% 86.96% 4 249,347 10.50% 77.23% 75.62% 5 216,855 9.13% 66.73% 65.75% 6 187,113 7.88% 57.60% 57.18% 7 162,738 6.85% 49.72% 49.72% 8 139,039 5.85% 42.87% 43.24% 9 120,460 5.07% 37.01% 37.60% 10 103,885 4.37% 31.94% 32.69% 11 90,000 3.79% 27.57% 28.43% 12 77,848 3.28% 23.78% 24.72% 13 66,812 2.81% 20.50% 21.50% 14 57,561 2.42% 17.69% 18.69% 15 50,144 2.11% 15.26% 16.26% 16 42,801 1.80% 13.15% 14.14% 17 37,038 1.56% 11.35% 12.29% 18 31,890 1.34% 9.79% 10.69% 19 27,624 1.16% 8.45% 9.29% 20 23,661 1.00% 7.28% 8.08% 21 20,530 0.86% 6.29% 7.03% 22 17,531 0.74% 5.42% 6.11% 23 15,363 0.65% 4.68% 5.31% 24 13,066 0.55% 4.04% 4.62% 25 11,495 0.48% 3.49% 4.02% 26 9,785 0.41% 3.00% 3.49% 27 8,390 0.35% 2.59% 3.04% 28 7,291 0.31% 2.24% 2.64% 29 6,410 0.27% 1.93% 2.30% 30 5,441 0.23% 1.66% 2.00% 31 4,595 0.19% 1.43% 1.74% 32 3,920 0.17% 1.24% 1.51% 33 3,516 0.15% 1.07% 1.31% 34 2,907 0.12% 0.93% 1.14% 35 2,549 0.11% 0.80% 0.99% 36 2,274 0.10% 0.70% 0.86% 37 1,929 0.08% 0.60% 0.75% 38 1,741 0.07% 0.52% 0.65% 39 1,446 0.06% 0.45% 0.57% 40 1,215 0.05% 0.38% 0.49% 41 1,040 0.04% 0.33% 0.43% 42 952 0.04% 0.29% 0.37% 43 803 0.03% 0.25% 0.32% 44 693 0.03% 0.22% 0.28% 45 619 0.03% 0.19% 0.25% 46 531 0.02% 0.16% 0.21% 47 433 0.02% 0.14% 0.19% 48 406 0.02% 0.12% 0.16% 49 317 0.01% 0.10% 0.14% 50 288 0.01% 0.09% 0.12% 51 253 0.01% 0.08% 0.11% 52 209 0.01% 0.07% 0.09% 53 184 0.01% 0.06% 0.08% 54 176 0.01% 0.05% 0.07% 55 135 0.01% 0.04% 0.06% 56 121 0.01% 0.04% 0.05% 57 105 0.00% 0.03% 0.05% 58 95 0.00% 0.03% 0.04% 59 77 0.00% 0.02% 0.03% 60 54 0.00% 0.02% 0.03% 61 64 0.00% 0.02% 0.03% 62 53 0.00% 0.02% 0.02% 63 53 0.00% 0.01% 0.02% 64 39 0.00% 0.01% 0.02% 65 29 0.00% 0.01% 0.02% 66 24 0.00% 0.01% 0.01% 67 26 0.00% 0.01% 0.01% 68 28 0.00% 0.01% 0.01% 69 13 0.00% 0.00% 0.01% 70 15 0.00% 0.00% 0.01% 71 17 0.00% 0.00% 0.01% 72 12 0.00% 0.00% 0.01% 73 12 0.00% 0.00% 0.00% 74 3 0.00% 0.00% 0.00% 75 5 0.00% 0.00% 0.00% 76 5 0.00% 0.00% 0.00% 77 7 0.00% 0.00% 0.00% 78 5 0.00% 0.00% 0.00% 79 3 0.00% 0.00% 0.00% 80 3 0.00% 0.00% 0.00% 81 1 0.00% 0.00% 0.00% 82 1 0.00% 0.00% 0.00% 83 2 0.00% 0.00% 0.00% 84 2 0.00% 0.00% 0.00% 85 2 0.00% 0.00% 0.00% 86 0 0.00% 0.00% 0.00% 87 0 0.00% 0.00% 0.00% 88 1 0.00% 0.00% 0.00% 89 1 0.00% 0.00% 0.00% 90 1 0.00% 0.00% 0.00% 91 1 0.00% 0.00% 0.00% 92 0 0.00% 0.00% 0.00% 93 0 0.00% 0.00% 0.00% 94 1 0.00% 0.00% 0.00% 95 0 0.00% 0.00% 0.00% 96 0 0.00% 0.00% 0.00% 97 0 0.00% 0.00% 0.00% 98 1 0.00% 0.00% 0.00% 99 0 0.00% 0.00% 0.00% 100 0 0.00% 0.00% 0.00% 101 0 0.00% 0.00% 0.00% 102 1 0.00% 0.00% 0.00% 103 0 0.00% 0.00% 0.00% 104 0 0.00% 0.00% 0.00% 105 1 0.00% 0.00% 0.00% Betting statistics (wagers only, no wins or losses): # of betting events: 10,000,001 Average bet size: $30.0000 Standard deviation: $0.000000 Variance: $0.000000 Smallest bet size: $30.00 Largest bet size: $30.00 Sum of all bets: $300,000,030 Bankroll statistics (wins and losses only on bets made): Average earnings/loss per betting event: -$0.244840 Standard deviation: $32.864989 (in earnings/loss dollars per betting event) Variance: $1080.107498 Largest wager lost: -$30.00 Biggest win: $60.00 Total earnings/loss: -$2,448,399.00 Dice roll statistics (by sum, all shooters): Number of dice rolls/throws: 20,251,274 Roll # Rolled # Expected Difference Chi Square 2 561573 562535.4 -962.4 1.6465 3 1124424 1125070.8 -646.8 0.3718 4 1687233 1687606.2 -373.2 0.0825 5 2250607 2250141.6 465.4 0.0963 6 2813067 2812676.9 390.1 0.0541 7 3373551 3375212.3 -1661.3 0.8177 8 2813393 2812676.9 716.1 0.1823 9 2250453 2250141.6 311.4 0.0431 10 1687580 1687606.2 -26.2 0.0004 11 1126144 1125070.8 1073.2 1.0238 12 563249 562535.4 713.6 0.9053 Sum of above chi squares: 5.2237 Dice outcome statistics (all shooters): Number of dice rolls/throws: 20,251,274 # expected per outcome: 562,535 Outcome # Rolled Difference Chi Square 1|1 561573 -962.0 1.6451 1|2 561897 -638.0 0.7236 1|3 562479 -56.0 0.0056 1|4 562264 -271.0 0.1306 1|5 562367 -168.0 0.0502 1|6 561984 -551.0 0.5397 2|1 562527 -8.0 0.0001 2|2 562170 -365.0 0.2368 2|3 563189 654.0 0.7603 2|4 563601 1066.0 2.0201 2|5 562369 -166.0 0.0490 2|6 563323 788.0 1.1038 3|1 562584 49.0 0.0043 3|2 563072 537.0 0.5126 3|3 562608 73.0 0.0095 3|4 561822 -713.0 0.9037 3|5 561591 -944.0 1.5841 3|6 563158 623.0 0.6900 4|1 562082 -453.0 0.3648 4|2 561903 -632.0 0.7100 4|3 562194 -341.0 0.2067 4|4 561854 -681.0 0.8244 4|5 562541 6.0 0.0001 4|6 562779 244.0 0.1058 5|1 562588 53.0 0.0050 5|2 562410 -125.0 0.0278 5|3 563073 538.0 0.5145 5|4 562159 -376.0 0.2513 5|5 562912 377.0 0.2527 5|6 562621 86.0 0.0131 6|1 562772 237.0 0.0998 6|2 563552 1017.0 1.8386 6|3 562595 60.0 0.0064 6|4 561889 -646.0 0.7418 6|5 563523 988.0 1.7353 6|6 563249 714.0 0.9062 Sum of above chi squares: 19.5736 For shooter: 'Shooter 1 - random' Expectation: -0.816133% # of betting events: 10,000,001 Average earnings/loss per betting event: -$0.244840 Standard deviation: $32.864989 (in earnings/loss dollars per betting event) Variance: $1080.107498 Largest wager lost: -$30.00 Biggest win: $60.00 Total earnings/loss: -$2,448,399.00 Total # of hands: 2,374,908 Average # of throws/hand: 8.53 Longest hand (in throws): 105 50% of hands are of length 6.96 or more (median value) 5% of hands are of throw length 23.44 or more 1% of hands are of throw length 34.95 or more Inferred probability of hand ending per round (seven out): 13.0425% Distribution table of hands by length (2,374,908 hands in total): Hand length Frequency Prob. for hand Prob. hand >= Expected prob. 1 0 0.00% 100.00% 100.00% 2 263,892 11.11% 100.00% 100.00% 3 276,883 11.66% 88.89% 86.96% 4 249,347 10.50% 77.23% 75.62% 5 216,855 9.13% 66.73% 65.75% 6 187,113 7.88% 57.60% 57.18% 7 162,738 6.85% 49.72% 49.72% 8 139,039 5.85% 42.87% 43.24% 9 120,460 5.07% 37.01% 37.60% 10 103,885 4.37% 31.94% 32.69% 11 90,000 3.79% 27.57% 28.43% 12 77,848 3.28% 23.78% 24.72% 13 66,812 2.81% 20.50% 21.50% 14 57,561 2.42% 17.69% 18.69% 15 50,144 2.11% 15.26% 16.26% 16 42,801 1.80% 13.15% 14.14% 17 37,038 1.56% 11.35% 12.29% 18 31,890 1.34% 9.79% 10.69% 19 27,624 1.16% 8.45% 9.29% 20 23,661 1.00% 7.28% 8.08% 21 20,530 0.86% 6.29% 7.03% 22 17,531 0.74% 5.42% 6.11% 23 15,363 0.65% 4.68% 5.31% 24 13,066 0.55% 4.04% 4.62% 25 11,495 0.48% 3.49% 4.02% 26 9,785 0.41% 3.00% 3.49% 27 8,390 0.35% 2.59% 3.04% 28 7,291 0.31% 2.24% 2.64% 29 6,410 0.27% 1.93% 2.30% 30 5,441 0.23% 1.66% 2.00% 31 4,595 0.19% 1.43% 1.74% 32 3,920 0.17% 1.24% 1.51% 33 3,516 0.15% 1.07% 1.31% 34 2,907 0.12% 0.93% 1.14% 35 2,549 0.11% 0.80% 0.99% 36 2,274 0.10% 0.70% 0.86% 37 1,929 0.08% 0.60% 0.75% 38 1,741 0.07% 0.52% 0.65% 39 1,446 0.06% 0.45% 0.57% 40 1,215 0.05% 0.38% 0.49% 41 1,040 0.04% 0.33% 0.43% 42 952 0.04% 0.29% 0.37% 43 803 0.03% 0.25% 0.32% 44 693 0.03% 0.22% 0.28% 45 619 0.03% 0.19% 0.25% 46 531 0.02% 0.16% 0.21% 47 433 0.02% 0.14% 0.19% 48 406 0.02% 0.12% 0.16% 49 317 0.01% 0.10% 0.14% 50 288 0.01% 0.09% 0.12% 51 253 0.01% 0.08% 0.11% 52 209 0.01% 0.07% 0.09% 53 184 0.01% 0.06% 0.08% 54 176 0.01% 0.05% 0.07% 55 135 0.01% 0.04% 0.06% 56 121 0.01% 0.04% 0.05% 57 105 0.00% 0.03% 0.05% 58 95 0.00% 0.03% 0.04% 59 77 0.00% 0.02% 0.03% 60 54 0.00% 0.02% 0.03% 61 64 0.00% 0.02% 0.03% 62 53 0.00% 0.02% 0.02% 63 53 0.00% 0.01% 0.02% 64 39 0.00% 0.01% 0.02% 65 29 0.00% 0.01% 0.02% 66 24 0.00% 0.01% 0.01% 67 26 0.00% 0.01% 0.01% 68 28 0.00% 0.01% 0.01% 69 13 0.00% 0.00% 0.01% 70 15 0.00% 0.00% 0.01% 71 17 0.00% 0.00% 0.01% 72 12 0.00% 0.00% 0.01% 73 12 0.00% 0.00% 0.00% 74 3 0.00% 0.00% 0.00% 75 5 0.00% 0.00% 0.00% 76 5 0.00% 0.00% 0.00% 77 7 0.00% 0.00% 0.00% 78 5 0.00% 0.00% 0.00% 79 3 0.00% 0.00% 0.00% 80 3 0.00% 0.00% 0.00% 81 1 0.00% 0.00% 0.00% 82 1 0.00% 0.00% 0.00% 83 2 0.00% 0.00% 0.00% 84 2 0.00% 0.00% 0.00% 85 2 0.00% 0.00% 0.00% 86 0 0.00% 0.00% 0.00% 87 0 0.00% 0.00% 0.00% 88 1 0.00% 0.00% 0.00% 89 1 0.00% 0.00% 0.00% 90 1 0.00% 0.00% 0.00% 91 1 0.00% 0.00% 0.00% 92 0 0.00% 0.00% 0.00% 93 0 0.00% 0.00% 0.00% 94 1 0.00% 0.00% 0.00% 95 0 0.00% 0.00% 0.00% 96 0 0.00% 0.00% 0.00% 97 0 0.00% 0.00% 0.00% 98 1 0.00% 0.00% 0.00% 99 0 0.00% 0.00% 0.00% 100 0 0.00% 0.00% 0.00% 101 0 0.00% 0.00% 0.00% 102 1 0.00% 0.00% 0.00% 103 0 0.00% 0.00% 0.00% 104 0 0.00% 0.00% 0.00% 105 1 0.00% 0.00% 0.00% Dice roll statistics (by sum, for 'Shooter 1 - random' - all rolls): Number of dice rolls/throws: 20,251,274 Roll # Rolled # Expected Difference Chi Square 2 561573 562535.4 -962.4 1.6465 3 1124424 1125070.8 -646.8 0.3718 4 1687233 1687606.2 -373.2 0.0825 5 2250607 2250141.6 465.4 0.0963 6 2813067 2812676.9 390.1 0.0541 7 3373551 3375212.3 -1661.3 0.8177 8 2813393 2812676.9 716.1 0.1823 9 2250453 2250141.6 311.4 0.0431 10 1687580 1687606.2 -26.2 0.0004 11 1126144 1125070.8 1073.2 1.0238 12 563249 562535.4 713.6 0.9053 Sum of above chi squares: 5.2237 Dice outcome statistics (for 'Shooter 1 - random' - all rolls): Number of dice rolls/throws: 20,251,274 # expected per outcome: 562,535 Outcome # Rolled Difference Chi Square 1|1 561573 -962.0 1.6451 1|2 561897 -638.0 0.7236 1|3 562479 -56.0 0.0056 1|4 562264 -271.0 0.1306 1|5 562367 -168.0 0.0502 1|6 561984 -551.0 0.5397 2|1 562527 -8.0 0.0001 2|2 562170 -365.0 0.2368 2|3 563189 654.0 0.7603 2|4 563601 1066.0 2.0201 2|5 562369 -166.0 0.0490 2|6 563323 788.0 1.1038 3|1 562584 49.0 0.0043 3|2 563072 537.0 0.5126 3|3 562608 73.0 0.0095 3|4 561822 -713.0 0.9037 3|5 561591 -944.0 1.5841 3|6 563158 623.0 0.6900 4|1 562082 -453.0 0.3648 4|2 561903 -632.0 0.7100 4|3 562194 -341.0 0.2067 4|4 561854 -681.0 0.8244 4|5 562541 6.0 0.0001 4|6 562779 244.0 0.1058 5|1 562588 53.0 0.0050 5|2 562410 -125.0 0.0278 5|3 563073 538.0 0.5145 5|4 562159 -376.0 0.2513 5|5 562912 377.0 0.2527 5|6 562621 86.0 0.0131 6|1 562772 237.0 0.0998 6|2 563552 1017.0 1.8386 6|3 562595 60.0 0.0064 6|4 561889 -646.0 0.7418 6|5 563523 988.0 1.7353 6|6 563249 714.0 0.9062 Sum of above chi squares: 19.5736 Dice roll statistics (by sum, for 'Shooter 1 - random' - come out rolls only): Number of dice rolls/throws: 5,999,658 Roll # Rolled # Expected Difference Chi Square 2 166326 166657.2 -331.2 0.6581 3 333146 333314.3 -168.3 0.0850 4 499927 499971.5 -44.5 0.0040 5 667788 666628.7 1159.3 2.0162 6 833361 833285.8 75.2 0.0068 7 998643 999943.0 -1300.0 1.6901 8 833463 833285.8 177.2 0.0377 9 665665 666628.7 -963.7 1.3931 10 500139 499971.5 167.5 0.0561 11 333580 333314.3 265.7 0.2117 12 167620 166657.2 962.8 5.5626 Sum of above chi squares: 11.7213 Dice outcome statistics (for 'Shooter 1 - random' - come out rolls only): Number of dice rolls/throws: 5,999,658 # expected per outcome: 166,657 Outcome # Rolled Difference Chi Square 1|1 166326 -331.0 0.6574 1|2 166264 -393.0 0.9267 1|3 167146 489.0 1.4348 1|4 166691 34.0 0.0069 1|5 166308 -349.0 0.7308 1|6 166676 19.0 0.0022 2|1 166882 225.0 0.3038 2|2 166168 -489.0 1.4348 2|3 166916 259.0 0.4025 2|4 167075 418.0 1.0484 2|5 166454 -203.0 0.2473 2|6 167203 546.0 1.7888 3|1 166613 -44.0 0.0116 3|2 167110 453.0 1.2313 3|3 166445 -212.0 0.2697 3|4 166495 -162.0 0.1575 3|5 166479 -178.0 0.1901 3|6 166597 -60.0 0.0216 4|1 167071 414.0 1.0284 4|2 166692 35.0 0.0074 4|3 166170 -487.0 1.4231 4|4 166687 30.0 0.0054 4|5 166328 -329.0 0.6495 4|6 166682 25.0 0.0038 5|1 166841 184.0 0.2031 5|2 166073 -584.0 2.0465 5|3 166094 -563.0 1.9019 5|4 165987 -670.0 2.6936 5|5 166943 286.0 0.4908 5|6 167160 503.0 1.5181 6|1 166775 118.0 0.0835 6|2 167000 343.0 0.7059 6|3 166753 96.0 0.0553 6|4 166514 -143.0 0.1227 6|5 166420 -237.0 0.3370 6|6 167620 963.0 5.5645 Sum of above chi squares: 29.7069 Dice roll statistics (by sum, for 'Shooter 1 - random' - point rolls only): Number of dice rolls/throws: 14,251,616 Roll # Rolled # Expected Difference Chi Square 2 395247 395878.2 -631.2 1.0065 3 791278 791756.4 -478.4 0.2891 4 1187306 1187634.7 -328.7 0.0910 5 1582819 1583512.9 -693.9 0.3041 6 1979706 1979391.1 314.9 0.0501 7 2374908 2375269.3 -361.3 0.0550 8 1979930 1979391.1 538.9 0.1467 9 1584788 1583512.9 1275.1 1.0268 10 1187441 1187634.7 -193.7 0.0316 11 792564 791756.4 807.6 0.8237 12 395629 395878.2 -249.2 0.1569 Sum of above chi squares: 3.9813 Dice outcome statistics (for 'Shooter 1 - random' - point rolls only): Number of dice rolls/throws: 14,251,616 # expected per outcome: 395,878 Outcome # Rolled Difference Chi Square 1|1 395247 -631.0 1.0058 1|2 395633 -245.0 0.1516 1|3 395333 -545.0 0.7503 1|4 395573 -305.0 0.2350 1|5 396059 181.0 0.0828 1|6 395308 -570.0 0.8207 2|1 395645 -233.0 0.1371 2|2 396002 124.0 0.0388 2|3 396273 395.0 0.3941 2|4 396526 648.0 1.0607 2|5 395915 37.0 0.0035 2|6 396120 242.0 0.1479 3|1 395971 93.0 0.0218 3|2 395962 84.0 0.0178 3|3 396163 285.0 0.2052 3|4 395327 -551.0 0.7669 3|5 395112 -766.0 1.4822 3|6 396561 683.0 1.1784 4|1 395011 -867.0 1.8988 4|2 395211 -667.0 1.1238 4|3 396024 146.0 0.0538 4|4 395167 -711.0 1.2770 4|5 396213 335.0 0.2835 4|6 396097 219.0 0.1212 5|1 395747 -131.0 0.0433 5|2 396337 459.0 0.5322 5|3 396979 1101.0 3.0621 5|4 396172 294.0 0.2183 5|5 395969 91.0 0.0209 5|6 395461 -417.0 0.4392 6|1 395997 119.0 0.0358 6|2 396552 674.0 1.1475 6|3 395842 -36.0 0.0033 6|4 395375 -503.0 0.6391 6|5 397103 1225.0 3.7906 6|6 395629 -249.0 0.1566 Sum of above chi squares: 23.3476