Begin test Now print a real number: 3.14159 Print 20 N(0,1) random numbers - should be the same as in sample output 1.60382 -1.30754 -1.35107 -1.13924 0.273018 1.06615 -0.124875 -0.948578 0.275591 1.44853 -2.07826 -3.06759 1.09382 1.21352 -0.643038 -0.222574 -0.611443 -0.180788 -1.19885 -0.756851 Print histograms of data from a variety distributions Histograms should be close to those in sample output s. mean and s. var should be close to p. mean and s. mean | | | | | | | | | | | | | | | | | | | |********************************************************************* Constant p. mean = 5, p. var = 0 s. mean = 5, s. var = 0, max = 5, min = 5 |******************************************************************** |****************************************************************** |******************************************************************* |******************************************************************* |******************************************************************** |******************************************************************* |******************************************************************** |******************************************************************** |****************************************************************** |********************************************************************* |******************************************************************* |******************************************************************** |******************************************************************* |******************************************************************* |******************************************************************** |******************************************************************* |******************************************************************** |******************************************************************* |******************************************************************** |******************************************************************* Uniform p. mean = 0.5, p. var = 0.083333 s. mean = 0.49995, s. var = 0.08335, max = 0.99999, min = 9.3156e-06 | |** |******* |************* |********************** |********************************* |********************************************** |********************************************************* |***************************************************************** |******************************************************************** |********************************************************************* |**************************************************************** |******************************************************** |******************************************* |****************************** |******************** |************ |****** |* | SumRandom p. mean = 0, p. var = 0.25 s. mean = 0.00079356, s. var = 0.25123, max = 1.4883, min = -1.4611 |** |********** |***************** |************************ |******************************* |*************************************** |********************************************** |***************************************************** |*********************************************************** |****************************************************************** |********************************************************************* |*********************************************************** |***************************************************** |********************************************** |************************************* |******************************* |************************ |***************** |********** |** SumRandom p. mean = 0, p. var = 0.16667 s. mean = -0.0019918, s. var = 0.16737, max = 0.99511, min = -0.99786 | | | | | |* |****** |*************** |******************************** |**************************************************** |****************************************************************** |********************************************************************* |******************************************************** |************************************* |******************* |******* |** | | | Normal p. mean = 0, p. var = 1 s. mean = -0.0032337, s. var = 0.99744, max = 4.1587, min = -5.2177 | | | | | | |********************************************************************* | | | | | | | | | | | | | Cauchy p. mean = indefinite, p. var = plus-infinity s. mean = 0.80419, s. var = 2.7224e+05, max = 1.1516e+05, min = -59877 | | | |* |***** |************* |**************************** |*********************************************** |*************************************************************** |********************************************************************* |************************************************************ |******************************************* |************************* |************ |**** | | | | | AsymGenX p. mean = missing, p. var = missing s. mean = 9.9999, s. var = 3.9894, max = 19.58, min = 1.4902 Mean and variance should be 10.0 and 4.0 |******************************************************************* |****************************************************************** |******************************************************************* |********************************************************************* |******************************************************************* |****************************************************************** |******************************************************************* |******************************************************************* |***************************************************************** |****************************************************************** |******************************************************************* |******************************************************************* |******************************************************************** |****************************************************************** |****************************************************************** |******************************************************************** |******************************************************************* |******************************************************************* |******************************************************************* |******************************************************************* AsymGenX p. mean = missing, p. var = missing s. mean = 0.50012, s. var = 0.083635, max = 0.99999, min = 6.248e-06 Mean and variance should be 0.5 and 0.083333 |** |********** |***************** |************************* |******************************** |*************************************** |*********************************************** |****************************************************** |************************************************************* |********************************************************************* |******************************************************************** |************************************************************ |****************************************************** |*********************************************** |*************************************** |******************************** |************************ |***************** |********* |** SymGenX p. mean = missing, p. var = missing s. mean = -0.00015745, s. var = 0.1664, max = 0.99919, min = -0.99559 Mean and variance should be 0 and 0.16667 |********************************************************************* | | |**************** | | | |* | | | | | | | | | | | | Poisson p. mean = 0.25, p. var = 0.25 s. mean = 0.2503, s. var = 0.25124, max = 5, min = 0 | | |******* |*********** |******************* |****************************************************************** |**************************************** |**************************************** |********************************************************************* |********************** |**************** |***************** |*** |* | | | | | | Poisson p. mean = 10, p. var = 10 s. mean = 9.9929, s. var = 9.9663, max = 27, min = 0 | | | |***** |******************* |***************************************** |**************************** |******************************************************************** |********************************************************************* |****************************************************** |*********************************** |***************** |******* |* | | | | | | Poisson p. mean = 16, p. var = 16 s. mean = 15.996, s. var = 16.039, max = 38, min = 1 | |*** |************** |*********************************** | |********************************************************* |********************************************************************* |**************************************************************** | |********************************************** |*************************** |************ | |**** | | | | | | Binomial p. mean = 5.4, p. var = 3.78 s. mean = 5.4078, s. var = 3.7748, max = 15, min = 0 | |** |************ |****************************** | |**************************************************** |******************************************************************** |********************************************************************* | |***************************************************** |********************************** |***************** | |****** |* | | | | | Binomial p. mean = 5.7, p. var = 3.99 s. mean = 5.704, s. var = 3.9894, max = 15, min = 0 | |* |********* |************************* | |*********************************************** |**************************************************************** |********************************************************************* | |*********************************************************** |***************************************** |********************** | |********** |*** | | | | | Binomial p. mean = 6, p. var = 4.2 s. mean = 5.996, s. var = 4.226, max = 15, min = 0 | | | | |**** |***** |************************** |************************************************** |******************************** |********************************************************************* |******************************************************** |****************** |*********************** |******** | | | | | | Binomial p. mean = 17.4, p. var = 12.18 s. mean = 17.405, s. var = 12.183, max = 35, min = 2 | | | | |*** |**** |*********************** |*********************************************** |******************************* |********************************************************************* |*********************************************************** |********************* |************************** |********** |* | | | | | Binomial p. mean = 17.7, p. var = 12.39 s. mean = 17.699, s. var = 12.422, max = 35, min = 2 | | | |** |************ |************ |******************************************** |****************************** |********************************************************************* |************************************************************** |********************** |****************************** |******* |******* |* | | | | | Binomial p. mean = 18, p. var = 12.6 s. mean = 17.99, s. var = 12.515, max = 36, min = 4 |********************************************************************* | |***************************************************************** | | |**************************** | | |******* | | | | | | | | | | | Binomial p. mean = 0.9, p. var = 0.855 s. mean = 0.90194, s. var = 0.85461, max = 7, min = 0 |********************************************************************* | |******************************************************************** | | |******************************** | | |******** | | |* | | | | | | | | Binomial p. mean = 0.95, p. var = 0.9025 s. mean = 0.9499, s. var = 0.89855, max = 7, min = 0 |***************************************************************** | |********************************************************************* | |********************************** | | |********** | |* | | | | | | | | | | Binomial p. mean = 1, p. var = 0.95 s. mean = 0.99921, s. var = 0.94935, max = 8, min = 0 |********************************************************************* | |******************************************************************** | | |********************************* | | |********** | | |* | | | | | | | | Binomial p. mean = 0.98, p. var = 0.9702 s. mean = 0.98157, s. var = 0.96966, max = 7, min = 0 |******************************************************************** | |********************************************************************* | |********************************* | | |********** | |* | | | | | | | | | | Binomial p. mean = 0.99, p. var = 0.9801 s. mean = 0.99201, s. var = 0.97687, max = 8, min = 0 |******************************************************************** | |********************************************************************* | |********************************* | | |********** | |* | | | | | | | | | | Binomial p. mean = 1, p. var = 0.99 s. mean = 0.99788, s. var = 0.98926, max = 8, min = 0 | | | | | | | | | | | |******* | | |**************************** | | |***************************************************************** | |********************************************************************* Binomial p. mean = 17.1, p. var = 0.855 s. mean = 17.1, s. var = 0.85559, max = 18, min = 11 | | | | | | | | | |* | | |******** | |******************************** | | |******************************************************************** | |********************************************************************* Binomial p. mean = 18.05, p. var = 0.9025 s. mean = 18.05, s. var = 0.90174, max = 19, min = 11 | | | | | | | | | |* | | |********** | |********************************** | | |********************************************************************* | |***************************************************************** Binomial p. mean = 19, p. var = 0.95 s. mean = 18.997, s. var = 0.95375, max = 20, min = 12 | | | | | | | | |* | | |********** | | |******************************** | | |******************************************************************** | |********************************************************************* Binomial p. mean = 97.02, p. var = 0.9702 s. mean = 97.017, s. var = 0.9764, max = 98, min = 91 | | | | | | | | | |* | | |********** | |********************************* | | |******************************************************************** | |********************************************************************* Binomial p. mean = 98.01, p. var = 0.9801 s. mean = 98.013, s. var = 0.97848, max = 99, min = 91 | | | | | | | | |* | | |********** | | |********************************* | | |********************************************************************* | |******************************************************************* Binomial p. mean = 99, p. var = 0.99 s. mean = 98.999, s. var = 0.98719, max = 100, min = 93 | | |* |******** |********************* |****************************************** |************************************************************ |********************************************************************* |***************************************************************** |********************************************** |***************************** |************** |***** |* | | | | | | NegativeBinomial p. mean = 600, p. var = 4200 s. mean = 600.06, s. var = 4184.8, max = 971, min = 364 | |* |********** |********************************* |*************************************************** |********************************************************************* |************************************************************** |******************************************************* |************************************* |************************* |************** |****** |*** | | | | | | | NegativeBinomial p. mean = 99, p. var = 990 s. mean = 99.152, s. var = 989.14, max = 281, min = 10 | |**** |************************* |***************************************************** |********************************************************************* |**************************************************************** |*********************************************** |***************************** |*************** |******* |** |* | | | | | | | | NegativeBinomial p. mean = 20.9, p. var = 60.61 s. mean = 20.896, s. var = 60.975, max = 78, min = 0 |******************************************************************** | |********************************************************************* | |************************************* | |************* | |*** | | | | | | | | | | | NegativeBinomial p. mean = 1.1, p. var = 1.21 s. mean = 1.0981, s. var = 1.2039, max = 9, min = 0 |********************************************************************* |************************************************* |************** |****************** |******** |* |** | | | | | | | | | | | | | NegativeBinomial p. mean = 2.85, p. var = 8.265 s. mean = 2.841, s. var = 8.2365, max = 33, min = 0 |********************************************************************* |**************** |****************** |**** |**** | | | | | | | | | | | | | | | NegativeBinomial p. mean = 1.9, p. var = 5.51 s. mean = 1.899, s. var = 5.5088, max = 29, min = 0 |********************************************************************* |******** |** | | | | | | | | | | | | | | | | | NegativeBinomial p. mean = 5.7, p. var = 114 s. mean = 5.6841, s. var = 114.4, max = 191, min = 0 |********************************************************************* |*** |* | | | | | | | | | | | | | | | | | NegativeBinomial p. mean = 0.57, p. var = 1.653 s. mean = 0.57119, s. var = 1.6673, max = 22, min = 0 |********************************************************************* | | | | | | | | | | | | | | | | | | | NegativeBinomial p. mean = 0.015, p. var = 0.01575 s. mean = 0.015155, s. var = 0.015895, max = 3, min = 0 | | |** |********** |************************* |********************************************** |************************************************************** |********************************************************************* |************************************************************** |************************************************ |******************************* |****************** |******** |*** |* | | | | | NegativeBinomial p. mean = 18.144, p. var = 21.41 s. mean = 18.15, s. var = 21.428, max = 42, min = 2 |********************************************************************* |***************************** |***************** |******** |**** |* | | | | | | | | | | | | | | ChiSq p. mean = 3, p. var = 10 s. mean = 2.9951, s. var = 9.9774, max = 40.363, min = 1.6837e-10 |********************************************************************* |************************************************** |******************************** |****************** |********* |**** |* | | | | | | | | | | | | | ChiSq p. mean = 4, p. var = 12 s. mean = 3.9934, s. var = 12.002, max = 41.413, min = 7.195e-05 |******************************************************* |********************************************************************* |******************************************************* |************************************** |************************ |*************** |******** |**** |** | | | | | | | | | | | ChiSq p. mean = 5, p. var = 14 s. mean = 5.0038, s. var = 14.059, max = 36.399, min = 0.0018844 |************************************** |********************************************************************* |************************************************************ |****************************************** |*************************** |*************** |******** |**** |* | | | | | | | | | | | ChiSq p. mean = 6, p. var = 16 s. mean = 6.0068, s. var = 16.018, max = 42.121, min = 0.0049078 |********************************************************************* |*************** |****** |*** |* | | | | | | | | | | | | | | | ChiSq p. mean = 1, p. var = 2 s. mean = 0.99996, s. var = 1.9779, max = 19.277, min = 8.8905e-12 |********************************************************************* |******************************** |************** |****** |** | | | | | | | | | | | | | | | ChiSq p. mean = 2, p. var = 4 s. mean = 2.0101, s. var = 4.0482, max = 30.022, min = 1.286e-06 |******************************************************************** |********************************************************************* |********************************************** |**************************** |**************** |********* |**** |** | | | | | | | | | | | | ChiSq p. mean = 3, p. var = 6 s. mean = 2.9991, s. var = 5.9871, max = 25.858, min = 8.9163e-05 |************************************************ |********************************************************************* |************************************************** |****************************** |**************** |******** |*** |* | | | | | | | | | | | | ChiSq p. mean = 4, p. var = 8 s. mean = 3.9999, s. var = 8.019, max = 33.768, min = 0.0027881 |********************************************************************* |************************************* |******************* |********** |***** |** | | | | | | | | | | | | | | Gamma p. mean = 1, p. var = 1 s. mean = 0.9991, s. var = 0.99949, max = 12.222, min = 1.1793e-06 |********************************************************************* |************** |****** |** | | | | | | | | | | | | | | | | Gamma p. mean = 0.5, p. var = 0.5 s. mean = 0.50127, s. var = 0.49883, max = 10.602, min = 2.5741e-12 |********************************************************************* |************************************* |******************* |********* |**** |** | | | | | | | | | | | | | | Gamma p. mean = 1.01, p. var = 1.01 s. mean = 1.007, s. var = 1.0022, max = 12.51, min = 3.1699e-06 |******************************************** |********************************************************************* |******************************************************* |************************************* |********************** |************ |****** |*** |* | | | | | | | | | | | Gamma p. mean = 2, p. var = 2 s. mean = 1.9999, s. var = 2.0085, max = 14.766, min = 0.0053616 |********************************************************************* | | | | | | | | | | | | | | | | | | | Pareto p. mean = plus-infinity, p. var = plus-infinity s. mean = 1.8228e+05, s. var = 1.2602e+15, max = 1.3147e+10, min = 1 |********************************************************************* | | | | | | | | | | | | | | | | | | | Pareto p. mean = 3, p. var = plus-infinity s. mean = 3.0174, s. var = 1216.2, max = 14299, min = 1 |********************************************************************* | | | | | | | | | | | | | | | | | | | Pareto p. mean = 1.6667, p. var = 2.2222 s. mean = 1.6679, s. var = 2.3002, max = 343.92, min = 1 |********************************************************************* |**** | | | | | | | | | | | | | | | | | | Pareto p. mean = 1.2857, p. var = 0.14694 s. mean = 1.2854, s. var = 0.14493, max = 15.143, min = 1 |********************** | |********************************************************************* | |********** | |************************ | |********** | | |******** | |********** | |********** | |********************** | |********************************* DiscreteGen p. mean = 3.93, p. var = 10.645 s. mean = 3.9228, s. var = 10.604, max = 9, min = 0 |********************************************************************* |*************** |****** | |***** | |****** | | |****** | | | |************** | | | | | |********************** DiscreteGen p. mean = 15.24, p. var = 274.16 s. mean = 15.199, s. var = 273.93, max = 48, min = 2 |****************************************************************** |******************************************************************* |******************************************************************* |****************************************************************** |******************************************************************* |********************************************************************* |******************************************************************* |******************************************************************** |****************************************************************** |****************************************************************** |****************************************************************** |******************************************************************** |******************************************************************** |******************************************************************* |******************************************************************* |******************************************************************** |******************************************************************* |******************************************************************* |******************************************************************* |******************************************************************* SumRandom p. mean = -0.5, p. var = 0.083333 s. mean = -0.49943, s. var = 0.083184, max = -3.2163e-06, min = -1 Mean and variance should be -0.5 and 0.083333 |******************************************************************** |******************************************************************** |******************************************************************* |******************************************************************* |******************************************************************* |******************************************************************** |******************************************************************* |******************************************************************** |****************************************************************** |******************************************************************* |******************************************************************** |******************************************************************** |********************************************************************* |******************************************************************** |******************************************************************* |******************************************************************** |******************************************************************** |******************************************************************* |******************************************************************** |******************************************************************* SumRandom p. mean = 4.5, p. var = 0.083333 s. mean = 4.5002, s. var = 0.0834, max = 5, min = 4 Mean and variance should be 4.5 and 0.083333 |********************************************************************* |******************************************************************* |******************************************************************* |****************************************************************** |******************************************************************* |******************************************************************** |******************************************************************* |******************************************************************** |******************************************************************* |******************************************************************** |******************************************************************** |******************************************************************* |******************************************************************* |******************************************************************* |******************************************************************** |******************************************************************* |******************************************************************* |******************************************************************* |******************************************************************* |******************************************************************* SumRandom p. mean = 4, p. var = 0.33333 s. mean = 3.9994, s. var = 0.3329, max = 5, min = 3 Mean and variance should be 4.0 and 0.33333 |******************************************************************** |******************************************************************* |******************************************************************** |******************************************************************** |******************************************************************** |******************************************************************* |******************************************************************** |******************************************************************* |****************************************************************** |******************************************************************** |******************************************************************* |******************************************************************* |******************************************************************** |******************************************************************** |******************************************************************* |******************************************************************** |******************************************************************* |******************************************************************* |******************************************************************* |********************************************************************* MixedRandom p. mean = 0, p. var = 0.33333 s. mean = -0.00020872, s. var = 0.334, max = 0.99999, min = -1 Mean and variance should be 0.0 and 0.33333 |********************************************************************* |******************************************** |************************************ |***************************** |************************* |********************* |****************** |**************** |************** |************ |********** |******** |******* |***** |**** |*** |** |* | | SumRandom p. mean = 0.25, p. var = 0.048611 s. mean = 0.25032, s. var = 0.048551, max = 0.99802, min = 3.552e-07 Mean and variance should be 0.25 and 0.048611 | |** |***** |******** |*********** |*************** |********************* |**************************** |*************************************** |********************************************************************* |******************************************************************** |************************************** |**************************** |********************* |*************** |*********** |******** |**** |** | SumRandom p. mean = 0, p. var = 0.0069444 s. mean = -0.00024806, s. var = 0.0069229, max = 0.24918, min = -0.24906 Mean and variance should be 0.0 and 0.006944 |******************************************************************** | | | | | | | | |********************************** | | | | | | | | | |********************************************************************* DiscreteGen p. mean = 1, p. var = 0.8 s. mean = 1.0009, s. var = 0.79885, max = 2, min = 0 | | | |******* |************************** |****************************************************** |********************************************************************* |******************************************************** |************************************** |*********************************** |************************************ |********************************** |**************************************** |************************************************************* |******************************************************************** |************************************************ |******************** |**** | | SumRandom p. mean = 11, p. var = 0.925 s. mean = 11, s. var = 0.92553, max = 13.45, min = 8.3546 | | | | | | | | |* |**** |********************************************************************* |** |* | | | | | | | MixedRandom p. mean = 0, p. var = 20.8 s. mean = 0.0096326, s. var = 20.606, max = 41.243, min = -44.722 | | | | | | | | |* |* |********************************************************************* |****** |* | | | | | | | MixedRandom p. mean = 0, p. var = 20.8 s. mean = -0.012183, s. var = 20.817, max = 38.955, min = -44.229 |******************************************************************** | | | | |* |***** |*********** |******************* |************************* |************************* |******************* |*********** |***** |* | | | | |********************************************************************* MixedRandom p. mean = 5, p. var = 13 s. mean = 5.0029, s. var = 13.001, max = 10, min = 0 | | | | | | | | | | | | |************************************************************** |********************************************************************* | | | | | | SumRandom p. mean = indefinite, p. var = plus-infinity s. mean = 1.9972, s. var = 2.2875, max = 141.61, min = -257.5 | | | |********************************************************************* | | | | | | | | | | | | | | | | MixedRandom p. mean = indefinite, p. var = indefinite s. mean = 0.20447, s. var = 1.5349, max = 158.26, min = -31.206 |********************************** | | |******************************************************************** | | | |******************************************************************** | | | |********************************************************************* | | | |******************************************************************** | | | |********************************* MixedRandom p. mean = 2.5, p. var = 2.25 s. mean = 2.4986, s. var = 2.2527, max = 5, min = 0 |******* |*************************************************** |********************************************************************* |******************** | | | | | | | | | | | |************ |************************************************************** |************************************************************** |*********** | MixedRandom p. mean = 5, p. var = 25.25 s. mean = 4.9905, s. var = 25.271, max = 12.03, min = -1.4857 |********************************************************************* | | | | | |******************************************************************** | | | | | | |******************************************************************** | | | | | |******************************************************************** SumRandom p. mean = missing, p. var = missing s. mean = 0.83263, s. var = 0.13907, max = 1.3333, min = 0.33333 Mean and variance should be 0.83333 and 0.13889 |******************************************************************** |******************************************************************** |********************************************************************* |******************************************************************** |******************************************************************** |********************************** |********************************** |*********************************** |*********************************** |*********************************** |****************** |****************** |****************** |****************** |****************** |******* |******* |******* |******* |******* SumRandom p. mean = missing, p. var = missing s. mean = 0.41695, s. var = 0.10412, max = 1.3333, min = 3.6177e-06 Mean and variance should be 0.41667 and 0.10417 |********************************************************************* |****** | | | | | | | | | | | | | | | | | | SumRandom p. mean = missing, p. var = missing s. mean = 1.2808, s. var = 1.5633, max = 50.203, min = 0.0020787 Mean and variance should be 1.2857 and 1.5869 ChiSquared tests for discrete data chisq should be less than 95% point in most cases and 99% point in almost all cases DiscreteGen: chisq = 10.328; df = 8; 95% pt. = 15.507; 99% pt. = 20.09 DiscreteGen: chisq = 8.644; df = 8; 95% pt. = 15.507; 99% pt. = 20.09 NegativeBinomial: chisq = 29.837; df = 28; 95% pt. = 41.337; 99% pt. = 48.278 NegativeBinomial: chisq = 57.336; df = 46; 95% pt. = 62.83; 99% pt. = 71.202 NegativeBinomial: chisq = 37.62; df = 42; 95% pt. = 58.124; 99% pt. = 66.207 NegativeBinomial: chisq = 146.35; df = 148; 95% pt. = 177.39; 99% pt. = 190.94 NegativeBinomial: chisq = 716.64; df = 779; 95% pt. = 845.05; 99% pt. = 873.74 NegativeBinomial: chisq = 16.685; df = 13; 95% pt. = 22.362; 99% pt. = 27.688 NegativeBinomial: chisq = 29.791; df = 49; 95% pt. = 66.339; 99% pt. = 74.92 NegativeBinomial: chisq = 256.12; df = 269; 95% pt. = 308.26; 99% pt. = 325.88 NegativeBinomial: chisq = 4.7253; df = 5; 95% pt. = 11.07; 99% pt. = 15.086 NegativeBinomial: chisq = 10.449; df = 17; 95% pt. = 27.587; 99% pt. = 33.409 NegativeBinomial: chisq = 69.718; df = 87; 95% pt. = 109.77; 99% pt. = 120.59 Binomial: chisq = 51.199; df = 45; 95% pt. = 61.656; 99% pt. = 69.958 Binomial: chisq = 38.216; df = 39; 95% pt. = 54.572; 99% pt. = 62.429 Binomial: chisq = 17.46; df = 11; 95% pt. = 19.675; 99% pt. = 24.725 Binomial: chisq = 4.5879; df = 8; 95% pt. = 15.507; 99% pt. = 20.09 Binomial: chisq = 20.668; df = 31; 95% pt. = 44.985; 99% pt. = 52.192 Binomial: chisq = 16.956; df = 17; 95% pt. = 27.587; 99% pt. = 33.409 Binomial: chisq = 3.0977; df = 7; 95% pt. = 14.067; 99% pt. = 18.475 Binomial: chisq = 19.566; df = 9; 95% pt. = 16.919; 99% pt. = 21.666 Binomial: chisq = 9.96; df = 7; 95% pt. = 14.067; 99% pt. = 18.475 Poisson: chisq = 6.6606; df = 7; 95% pt. = 14.067; 99% pt. = 18.475 Poisson: chisq = 14.609; df = 17; 95% pt. = 27.587; 99% pt. = 33.409 Poisson: chisq = 20.094; df = 28; 95% pt. = 41.337; 99% pt. = 48.278 Poisson: chisq = 93.709; df = 90; 95% pt. = 113.15; 99% pt. = 124.12 Kolmogorov-Smirnoff tests for continuous distributions 25%, 5%, 1%, .1% upper points are 1.019, 1.358, 1.628, 1.950 5% lower point is 0.520 Values should be mostly less than 5% upper point and less than 1% point almost always ChiSq: 0.84996 ChiSq: 0.63548 ChiSq: 0.83843 Pareto: 0.60381 Pareto: 0.54259 Normal: 0.83283 SumRandom: 0.75355 MixedRandom: 0.65278 MixedRandom: 0.64916 SumRandom: 0.70546 MixedRandom: 0.88905 Gamma: 0.90469 Gamma: 0.79434 SumRandom: 0.91984 SumRandom: 1.2616 Gamma: 0.62163 Exponential: 1.0919 Cauchy: 1.0196 SumRandom: 0.64866 Uniform: 0.73842 Combinations and permutations At this stage just checking that we get a valid permutation or combination Combinations should be in sorted order Doing permutations ... select 10 items from 100...119 without replacement 107 109 117 114 104 119 116 112 101 118 111 118 107 101 103 116 119 115 105 114 119 102 113 106 112 118 114 108 105 101 106 107 110 108 112 115 119 104 103 114 117 119 103 110 109 101 118 116 113 112 107 102 101 106 115 109 110 111 114 103 109 114 112 106 110 104 115 117 116 113 111 112 119 116 102 101 115 100 104 113 111 109 104 117 106 114 102 101 112 119 113 114 109 111 107 104 110 118 119 115 ... select 10 items from 100...109 without replacement 104 109 105 107 103 102 108 100 101 106 102 106 103 105 101 109 100 104 108 107 102 100 106 109 103 108 104 107 105 101 101 100 106 105 104 109 103 102 108 107 108 109 105 101 100 107 103 104 102 106 106 101 102 104 109 105 107 100 103 108 105 109 102 103 106 108 101 107 100 104 101 108 106 104 100 102 103 105 107 109 106 105 100 107 102 109 101 103 104 108 102 109 103 108 107 100 106 104 105 101 Doing combinations ... select 10 items from 100...119 without replacement 101 102 104 105 108 110 111 114 116 118 100 101 102 104 107 108 109 113 114 116 100 102 105 107 109 110 111 112 114 119 102 103 106 107 108 109 111 112 114 116 101 106 108 110 111 113 114 115 116 119 100 102 103 110 112 113 115 117 118 119 100 101 103 108 109 110 112 114 116 119 101 102 103 104 105 106 108 111 115 117 102 105 106 108 109 110 111 113 114 116 100 106 107 108 109 112 114 115 118 119 ... select 10 items from 100...109 without replacement 100 101 102 103 104 105 106 107 108 109 100 101 102 103 104 105 106 107 108 109 100 101 102 103 104 105 106 107 108 109 100 101 102 103 104 105 106 107 108 109 100 101 102 103 104 105 106 107 108 109 100 101 102 103 104 105 106 107 108 109 100 101 102 103 104 105 106 107 108 109 100 101 102 103 104 105 106 107 108 109 100 101 102 103 104 105 106 107 108 109 100 101 102 103 104 105 106 107 108 109 Testing VariPoisson - columns 2 (mean) and 3 (variance) should be close to column 1 0.25 0.24983 0.2500172211 1 1.000889 1.001333211 4 4.000748 4.003905444 10 10.004478 9.999693947 20 20.000237 20.03760698 30 29.992675 29.97745132 39.5 39.502185 39.3728166 40 40.003102 40.06277444 50 49.996871 50.01437722 59.5 59.50914 59.61066207 60 59.98322 59.96300839 60.5 60.507069 60.44770048 99.5 99.48253 99.52338032 100 99.997676 100.1130787 100.5 100.50061 100.5418222 199.5 199.488005 200.1255682 200 200.011565 199.9481312 200.5 200.497397 200.2209834 299.5 299.489898 300.067054 300 299.999663 300.2542951 300.5 300.479494 300.6219821 399.5 399.510519 399.1791385 400 399.965469 399.5963802 400.5 400.486839 400.6043334 500 500.008641 499.3841857 10000 9999.950105 10002.57253 10000 10000.69425 10010.51534 1e+05 100000.0681 100018.869 1e+05 100001.0468 99905.51609 1e+07 10000000.7 9987834.48 1e+07 10000003.98 10025256.32 Testing VariBinomial - columns 5 (mean) and 6 (variance) should be close to columns 1 and 4 1 0.2 0.2 0.16 0.199457 0.1596740648 2 0.1 0.2 0.18 0.20029 0.1802460961 5 0.35 1.75 1.1375 1.748817 1.136199237 20 0.2 4 3.2 4.001697 3.200501321 50 0.5 25 12.5 25.003416 12.49420483 100 0.4 40 24 40.007509 23.95852457 200 0.2 40 32 40.003756 32.02917792 500 0.3 150 105 149.992416 104.9703775 1000 0.19 190 153.9 189.966631 153.5776951 1000 0.21 210 165.9 210.004574 166.0020311 10000 0.4 4000 2400 3999.977154 2400.634473 1000000 0.1 1e+05 90000 100000.1219 89963.96041 1000000 0.5 5e+05 2.5e+05 499999.9225 249781.3937 1 0.7 0.7 0.21 0.699797 0.2100813689 2 0.6 1.2 0.48 1.199994 0.4793388793 5 0.9 4.5 0.45 4.500226 0.450058399 20 0.55 11 4.95 11.000111 4.937739925 50 0.9 45 4.5 45.000718 4.497311982 100 0.99 99 0.99 99.000642 0.9888025766 200 0.51 102 49.98 102.011873 50.00480404 500 0.7 350 105 349.992878 104.8549021 1000 0.81 810 153.9 809.987691 153.9387734 1000 0.79 790 165.9 789.990528 165.8014441 10000 0.9 9000 900 8999.989336 900.2510445 1000000 0.55 5.5e+05 2.475e+05 550000.5864 247260.3545 1000000 0.7 7e+05 2.1e+05 699999.7911 210238.6658 Testing VariLogNormal - columns 4 (mean) and 5 (variance) should be close to columns 1 and 3 0.25 0.5 0.25 0.2503119009 0.2519273557 0.5 1.5 2.25 0.5002616683 2.14422274 1.5 2.5 6.25 1.498565936 6.166010039 2 1 1 1.998513555 0.9986070703 End of tests (The following memory checks are probably not valid with all compilers - see documentation) Checking for lost memory: 8141400 8141400 - ok Checking for lost memory: 8141400 8141400 - ok Elapsed (processor) time = 272.8 seconds