Tue Oct 19 12:01:56 2021 owen_test(): Python version: 3.6.9 Test owen(). bivnor_test: bivnor computes the bivariate normal probability. Compare to tabulated values. X Y R P P DIFF (Tabulated) (bivnor) -2.00000000 1.00000000 0.50000000 2.2603272185698669e-02 2.2603272182164964e-02 3.5337e-12 -1.00000000 1.00000000 0.50000000 1.5487295185840999e-01 1.5487295185860289e-01 1.9290e-13 0.00000000 1.00000000 0.50000000 4.6874280833521842e-01 4.6874295264516808e-01 1.4431e-07 1.00000000 1.00000000 0.50000000 7.4520358689294763e-01 7.4520358684674981e-01 4.6198e-11 2.00000000 1.00000000 0.50000000 8.3186083068741878e-01 8.3186083113088038e-01 4.4346e-10 3.00000000 1.00000000 0.50000000 8.4103142611342019e-01 8.4103142688556842e-01 7.7215e-10 -0.20000000 0.50000000 -0.90000000 1.3770193849194640e-01 1.3770193849195544e-01 9.0483e-15 -0.20000000 0.50000000 -0.80000000 1.6217495017390299e-01 1.6217495017392364e-01 2.0650e-14 -0.20000000 0.50000000 -0.70000000 1.8274112432331191e-01 1.8274112432383702e-01 5.2511e-13 -0.20000000 0.50000000 -0.60000000 2.0100674215062350e-01 2.0100674213501732e-01 1.5606e-11 -0.20000000 0.50000000 -0.50000000 2.1777511552652901e-01 2.1777511564570834e-01 1.1918e-10 -0.20000000 0.50000000 -0.40000000 2.3350884364469621e-01 2.3350884366677876e-01 2.2083e-11 -0.20000000 0.50000000 -0.30000000 2.4850577818342859e-01 2.4850577818363667e-01 2.0808e-13 -0.20000000 0.50000000 -0.20000000 2.6297478251548678e-01 2.6297478251566736e-01 1.8058e-13 -0.20000000 0.50000000 -0.10000000 2.7707298234047378e-01 2.7707298234061800e-01 1.4422e-13 -0.20000000 0.50000000 0.00000000 2.9092611686838121e-01 2.9092611686838121e-01 0.0000e+00 -0.20000000 0.50000000 0.10000000 3.0464063787267381e-01 3.0464063787288559e-01 2.1178e-13 -0.20000000 0.50000000 0.20000000 3.1831134492136381e-01 3.1831135532864807e-01 1.0407e-08 -0.20000000 0.50000000 0.30000000 3.3202625441080280e-01 3.3202625442018219e-01 9.3794e-12 -0.20000000 0.50000000 0.40000000 3.4586867546476141e-01 3.4586867546351030e-01 1.2511e-12 -0.20000000 0.50000000 0.50000000 3.5991504623106679e-01 3.5991504623168036e-01 6.1356e-13 -0.20000000 0.50000000 0.60000000 3.7422108998711678e-01 3.7422108998732917e-01 2.1239e-13 -0.20000000 0.50000000 0.70000000 3.8877064052823201e-01 3.8877064052855004e-01 3.1802e-13 -0.20000000 0.50000000 0.80000000 4.0327651983613438e-01 4.0327651983633067e-01 1.9629e-13 -0.20000000 0.50000000 0.90000000 4.1621002919536781e-01 4.1621002919763450e-01 2.2667e-12 1.00000000 0.50000000 0.67300000 6.5082714988386636e-01 6.5082714988434420e-01 4.7784e-13 2.00000000 1.00000000 0.50000000 8.3186083068741878e-01 8.3186083113088038e-01 4.4346e-10 0.00000000 0.00000000 -1.00000000 0.0000000000000000e+00 0.0000000000000000e+00 0.0000e+00 0.00000000 0.00000000 -0.50000000 1.6666666665399699e-01 1.6666666666666666e-01 1.2670e-11 0.00000000 0.00000000 0.00000000 2.5000000000000000e-01 2.5000000000000000e-01 0.0000e+00 0.00000000 0.00000000 0.50000000 3.3333333333289061e-01 3.3333333333333337e-01 4.4276e-13 0.00000000 0.00000000 1.00000000 5.0000000000000000e-01 5.0000000000000000e-01 0.0000e+00 1.00000000 1.00000000 0.50000000 7.4520358689294763e-01 7.4520358684674981e-01 4.6198e-11 1.00000000 -1.00000000 0.50000000 1.5487295185840999e-01 1.5487295185860284e-01 1.9285e-13 -1.00000000 1.00000000 0.50000000 1.5487295185840999e-01 1.5487295185860289e-01 1.9290e-13 -1.00000000 -1.00000000 0.50000000 6.2514094704316528e-02 6.2514094709663848e-02 5.3473e-12 1.00000000 1.00000000 0.50000000 7.4520358689294763e-01 7.4520358684674981e-01 4.6198e-11 1.00000000 -1.00000000 0.50000000 1.5487295185840999e-01 1.5487295185860284e-01 1.9285e-13 -1.00000000 1.00000000 0.50000000 1.5487295185840999e-01 1.5487295185860289e-01 1.9290e-13 -1.00000000 -1.00000000 0.50000000 6.2514094704316528e-02 6.2514094709663848e-02 5.3473e-12 0.70710678 0.70710678 0.50000000 6.3370204579129163e-01 6.3370204577807965e-01 1.3212e-11 bivnor_test: Normal end of execution. t_test: t() evaluates Owens T function. Compare to tabulated values. H A T T (Tabulated) (T) DIFF 0.06250000 0.25000000 3.8911930234701367e-02 3.8911930234701367e-02 0.0000e+00 6.50000000 0.43750000 2.0005773048508314e-11 2.0005773048508311e-11 3.2312e-27 7.00000000 0.96875000 6.3990627193898686e-13 6.3990627193898706e-13 2.0195e-28 4.78125000 0.06250000 1.0632974804687463e-07 1.0632974804687466e-07 2.6470e-23 2.00000000 0.50000000 8.6250779855215065e-03 8.6250779855215082e-03 1.7347e-18 1.00000000 0.99999750 6.6741808978228595e-02 6.6741808978228595e-02 0.0000e+00 1.00000000 0.50000000 4.3064691120785370e-02 4.3064691120785356e-02 1.3878e-17 1.00000000 1.00000000 6.6741882165700969e-02 6.6741882165700969e-02 0.0000e+00 1.00000000 2.00000000 7.8468186993084096e-02 7.8468186993084110e-02 1.3878e-17 1.00000000 3.00000000 7.9299504748872596e-02 7.9299504748872596e-02 0.0000e+00 0.50000000 0.50000000 6.4488602847503754e-02 6.4488602847503754e-02 0.0000e+00 0.50000000 1.00000000 1.0667106296144850e-01 1.0667106296144852e-01 1.3878e-17 0.50000000 2.00000000 1.4158060365397840e-01 1.4158060365397840e-01 0.0000e+00 0.50000000 3.00000000 1.5108404307601839e-01 1.5108404307601841e-01 2.7756e-17 0.25000000 0.50000000 7.1346633822717775e-02 7.1346633822717789e-02 1.3878e-17 0.25000000 1.00000000 1.2012853063508830e-01 1.2012853063508830e-01 0.0000e+00 0.25000000 2.00000000 1.6661284109392929e-01 1.6661284109392932e-01 2.7756e-17 0.25000000 3.00000000 1.8475018479298591e-01 1.8475018479298594e-01 2.7756e-17 0.12500000 0.50000000 7.3172733275003857e-02 7.3172733275003843e-02 1.3878e-17 0.12500000 1.00000000 1.2376305449537460e-01 1.2376305449537457e-01 2.7756e-17 0.12500000 2.00000000 1.7374388875831059e-01 1.7374388875831059e-01 0.0000e+00 0.12500000 3.00000000 1.9511903070928110e-01 1.9511903070928108e-01 2.7756e-17 0.00781250 0.50000000 7.3789380353655454e-02 7.3789380353655454e-02 0.0000e+00 0.00781250 1.00000000 1.2499514307540520e-01 1.2499514307540520e-01 0.0000e+00 0.00781250 2.00000000 1.7619847747381079e-01 1.7619847747381084e-01 5.5511e-17 0.00781250 3.00000000 1.9877723864428240e-01 1.9877723864428234e-01 5.5511e-17 0.00781250 10.00000000 2.3408869648026709e-01 2.3408869648026712e-01 2.7756e-17 0.00781250 100.00000000 2.4794608292314921e-01 2.4794608292314921e-01 0.0000e+00 znorm1_test: znorm1 computes the normal CDF starting at 0. Compare to tabulated values. X P P DIFF (Tabulated) (znorm1) 0.00000000 0.0000000000000000e+00 0.0000000000000000e+00 0.0000e+00 0.10000000 3.9827837277028988e-02 3.9827837277028981e-02 6.9389e-18 0.20000000 7.9259709439102988e-02 7.9259709439103029e-02 4.1633e-17 0.30000000 1.1791142218895256e-01 1.1791142218895261e-01 4.1633e-17 0.40000000 1.5542174161032418e-01 1.5542174161032418e-01 0.0000e+00 0.50000000 1.9146246127401312e-01 1.9146246127401306e-01 5.5511e-17 0.60000000 2.2574688224992701e-01 2.2574688224992642e-01 5.8287e-16 0.70000000 2.5803634777692697e-01 2.5803634777692697e-01 0.0000e+00 0.80000000 2.8814460141660325e-01 2.8814460141660325e-01 0.0000e+00 0.90000000 3.1593987465324047e-01 3.1593987465324047e-01 0.0000e+00 1.00000000 3.4134474606854293e-01 3.4134474606854293e-01 0.0000e+00 1.50000000 4.3319279873114191e-01 4.3319279873114191e-01 0.0000e+00 2.00000000 4.7724986805182079e-01 4.7724986805182079e-01 0.0000e+00 2.50000000 4.9379033467422395e-01 4.9379033467422384e-01 1.1102e-16 3.00000000 4.9865010196836990e-01 4.9865010196836990e-01 0.0000e+00 3.50000000 4.9976737092096446e-01 4.9976737092096446e-01 0.0000e+00 4.00000000 4.9996832875816688e-01 4.9996832875816688e-01 0.0000e+00 znorm2_test: znorm2 computes the normal CDF starting at 0. Compare to tabulated values. X P P DIFF (Tabulated) (znorm2) 0.00000000 5.0000000000000000e-01 5.0000000000000000e-01 0.0000e+00 0.10000000 4.6017216272297101e-01 4.6017216272297101e-01 0.0000e+00 0.20000000 4.2074029056089701e-01 4.2074029056089696e-01 5.5511e-17 0.30000000 3.8208857781104744e-01 3.8208857781104738e-01 5.5511e-17 0.40000000 3.4457825838967582e-01 3.4457825838967582e-01 0.0000e+00 0.50000000 3.0853753872598688e-01 3.0853753872598694e-01 5.5511e-17 0.60000000 2.7425311775007299e-01 2.7425311775007355e-01 5.5511e-16 0.70000000 2.4196365222307303e-01 2.4196365222307303e-01 0.0000e+00 0.80000000 2.1185539858339675e-01 2.1185539858339675e-01 0.0000e+00 0.90000000 1.8406012534675953e-01 1.8406012534675953e-01 0.0000e+00 1.00000000 1.5865525393145707e-01 1.5865525393145707e-01 0.0000e+00 1.50000000 6.6807201268858085e-02 6.6807201268858085e-02 0.0000e+00 2.00000000 2.2750131948179209e-02 2.2750131948179216e-02 6.9389e-18 2.50000000 6.2096653257760481e-03 6.2096653257761383e-03 9.0206e-17 3.00000000 1.3498980316301035e-03 1.3498980316300959e-03 7.5894e-18 3.50000000 2.3262907903554009e-04 2.3262907903552502e-04 1.5070e-17 4.00000000 3.1671241833119979e-05 3.1671241833119979e-05 0.0000e+00 owen_test Normal end of execution. Tue Oct 19 12:01:56 2021