R Under development (unstable) (2025-02-08 r87709 ucrt) -- "Unsuffered Consequences" Copyright (C) 2025 The R Foundation for Statistical Computing Platform: x86_64-w64-mingw32/x64 R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > library(testthat) > library(gsDesign) > > test_check("gsDesign") Symmetric two-sided group sequential design with 90 % power and 2.5 % Type I Error. Spending computations assume trial stops if a bound is crossed. Analysis N Z Nominal p Spend 1 21 3.25 0.0006 0.0006 2 41 2.99 0.0014 0.0013 3 62 2.69 0.0036 0.0028 4 82 2.37 0.0088 0.0063 5 103 2.03 0.0214 0.0140 Total 0.0250 ++ alpha spending: Hwang-Shih-DeCani spending function with gamma = -4. Boundary crossing probabilities and expected sample size assume any cross stops the trial Upper boundary (power or Type I Error) Analysis Theta 1 2 3 4 5 Total E{N} 0.0000 0.0006 0.0013 0.0028 0.0063 0.0140 0.025 101.6 0.3242 0.0370 0.1512 0.2647 0.2699 0.1771 0.900 73.7 Lower boundary (futility or Type II Error) Analysis Theta 1 2 3 4 5 Total 0.0000 6e-04 0.0013 0.0028 0.0063 0.014 0.025 0.3242 0e+00 0.0000 0.0000 0.0000 0.000 0.000 Symmetric two-sided group sequential design with 90 % power and 2.5 % Type I Error. Spending computations assume trial stops if a bound is crossed. Analysis N Z Nominal p Spend 1 21 3.25 0.0006 0.0006 2 41 2.99 0.0014 0.0013 3 62 2.69 0.0036 0.0028 4 82 2.37 0.0088 0.0063 5 103 2.03 0.0214 0.0140 Total 0.0250 ++ alpha spending: Hwang-Shih-DeCani spending function with gamma = -4. Boundary crossing probabilities and expected sample size assume any cross stops the trial Upper boundary (power or Type I Error) Analysis Theta 1 2 3 4 5 Total E{N} 0.0000 0.0006 0.0013 0.0028 0.0063 0.0140 0.0250 101.6 0.0162 0.0007 0.0018 0.0041 0.0092 0.0202 0.0359 101.6 0.0324 0.0009 0.0024 0.0058 0.0131 0.0282 0.0505 101.4 0.0486 0.0012 0.0033 0.0082 0.0183 0.0386 0.0696 101.2 0.0648 0.0015 0.0045 0.0112 0.0251 0.0514 0.0938 100.9 0.0810 0.0020 0.0061 0.0153 0.0338 0.0667 0.1238 100.4 0.0972 0.0025 0.0080 0.0205 0.0445 0.0845 0.1599 99.9 0.1135 0.0031 0.0106 0.0270 0.0574 0.1044 0.2024 99.1 0.1297 0.0038 0.0137 0.0351 0.0726 0.1258 0.2511 98.2 0.1459 0.0048 0.0177 0.0450 0.0901 0.1479 0.3055 97.2 0.1621 0.0059 0.0225 0.0568 0.1097 0.1696 0.3645 95.9 0.1783 0.0072 0.0284 0.0707 0.1308 0.1898 0.4270 94.4 0.1945 0.0088 0.0356 0.0867 0.1531 0.2073 0.4914 92.8 0.2107 0.0107 0.0441 0.1048 0.1756 0.2209 0.5561 90.9 0.2269 0.0130 0.0541 0.1248 0.1977 0.2299 0.6194 88.8 0.2431 0.0157 0.0657 0.1465 0.2183 0.2335 0.6796 86.6 0.2593 0.0188 0.0791 0.1696 0.2364 0.2316 0.7355 84.2 0.2755 0.0224 0.0943 0.1936 0.2514 0.2243 0.7859 81.6 0.2917 0.0266 0.1114 0.2179 0.2622 0.2122 0.8303 79.0 0.3079 0.0315 0.1304 0.2418 0.2685 0.1961 0.8683 76.4 0.3242 0.0370 0.1512 0.2647 0.2699 0.1771 0.9000 73.7 0.3404 0.0434 0.1738 0.2859 0.2664 0.1562 0.9257 71.0 0.3566 0.0506 0.1980 0.3046 0.2582 0.1347 0.9461 68.3 0.3728 0.0587 0.2236 0.3202 0.2457 0.1136 0.9617 65.7 0.3890 0.0677 0.2502 0.3322 0.2297 0.0936 0.9735 63.1 0.4052 0.0779 0.2776 0.3401 0.2110 0.0754 0.9820 60.7 0.4214 0.0891 0.3053 0.3438 0.1905 0.0594 0.9881 58.3 0.4376 0.1015 0.3330 0.3430 0.1689 0.0458 0.9923 56.1 0.4538 0.1152 0.3602 0.3380 0.1473 0.0345 0.9952 53.9 0.4700 0.1300 0.3864 0.3289 0.1262 0.0255 0.9970 51.9 0.4862 0.1462 0.4112 0.3161 0.1063 0.0184 0.9982 50.0 0.5024 0.1637 0.4341 0.3001 0.0881 0.0130 0.9990 48.2 0.5186 0.1824 0.4547 0.2815 0.0718 0.0090 0.9994 46.5 0.5349 0.2025 0.4726 0.2610 0.0576 0.0061 0.9997 44.9 0.5511 0.2238 0.4875 0.2391 0.0454 0.0040 0.9998 43.4 0.5673 0.2463 0.4992 0.2166 0.0352 0.0026 0.9999 41.9 0.5835 0.2700 0.5074 0.1940 0.0269 0.0017 1.0000 40.6 0.5997 0.2947 0.5122 0.1718 0.0202 0.0010 1.0000 39.3 0.6159 0.3205 0.5135 0.1504 0.0150 0.0006 1.0000 38.1 0.6321 0.3472 0.5112 0.1303 0.0109 0.0004 1.0000 37.0 0.6483 0.3746 0.5057 0.1116 0.0078 0.0002 1.0000 35.9 Lower boundary (futility or Type II Error) Analysis Theta 1 2 3 4 5 Total 0.0000 6e-04 0.0013 0.0028 0.0063 0.0140 0.0250 0.0162 4e-04 0.0009 0.0019 0.0042 0.0095 0.0170 0.0324 3e-04 0.0006 0.0013 0.0028 0.0063 0.0114 0.0486 3e-04 0.0004 0.0009 0.0018 0.0041 0.0074 0.0648 2e-04 0.0003 0.0006 0.0011 0.0025 0.0047 0.0810 1e-04 0.0002 0.0004 0.0007 0.0016 0.0030 0.0972 1e-04 0.0001 0.0002 0.0004 0.0009 0.0018 0.1135 1e-04 0.0001 0.0001 0.0003 0.0005 0.0011 0.1297 1e-04 0.0001 0.0001 0.0001 0.0003 0.0007 0.1459 0e+00 0.0000 0.0001 0.0001 0.0002 0.0004 0.1621 0e+00 0.0000 0.0000 0.0000 0.0001 0.0002 0.1783 0e+00 0.0000 0.0000 0.0000 0.0000 0.0001 0.1945 0e+00 0.0000 0.0000 0.0000 0.0000 0.0001 0.2107 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.2269 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.2431 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.2593 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.2755 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.2917 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.3079 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.3242 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.3404 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.3566 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.3728 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.3890 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.4052 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.4214 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.4376 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.4538 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.4700 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.4862 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.5024 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.5186 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.5349 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.5511 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.5673 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.5835 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.5997 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.6159 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.6321 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.6483 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 Symmetric two-sided group sequential design with 90 % power and 2.5 % Type I Error. Spending computations assume trial stops if a bound is crossed. Analysis N Z Nominal p Spend 1 21 3.25 0.0006 0.0006 2 41 2.99 0.0014 0.0013 3 62 2.69 0.0036 0.0028 4 82 2.37 0.0088 0.0063 5 103 2.03 0.0214 0.0140 Total 0.0250 ++ alpha spending: Hwang-Shih-DeCani spending function with gamma = -4. Boundary crossing probabilities and expected sample size assume any cross stops the trial Upper boundary (power or Type I Error) Analysis Theta 1 2 3 4 5 Total E{N} 0.0000 0.0006 0.0013 0.0028 0.0063 0.0140 0.025 101.6 0.3242 0.0370 0.1512 0.2647 0.2699 0.1771 0.900 73.7 Lower boundary (futility or Type II Error) Analysis Theta 1 2 3 4 5 Total 0.0000 6e-04 0.0013 0.0028 0.0063 0.014 0.025 0.3242 0e+00 0.0000 0.0000 0.0000 0.000 0.000 Symmetric two-sided group sequential design with 90 % power and 2.5 % Type I Error. Spending computations assume trial stops if a bound is crossed. Analysis N Z Nominal p Spend 1 21 3.25 0.0006 0.0006 2 41 2.99 0.0014 0.0013 3 62 2.69 0.0036 0.0028 4 82 2.37 0.0088 0.0063 5 103 2.03 0.0214 0.0140 Total 0.0250 ++ alpha spending: Hwang-Shih-DeCani spending function with gamma = -4. Boundary crossing probabilities and expected sample size assume any cross stops the trial Upper boundary (power or Type I Error) Analysis Theta 1 2 3 4 5 Total E{N} 0.0000 0.0006 0.0013 0.0028 0.0063 0.0140 0.025 101.6 0.3242 0.0370 0.1512 0.2647 0.2699 0.1771 0.900 73.7 Lower boundary (futility or Type II Error) Analysis Theta 1 2 3 4 5 Total 0.0000 6e-04 0.0013 0.0028 0.0063 0.014 0.025 0.3242 0e+00 0.0000 0.0000 0.0000 0.000 0.000 NULL Symmetric two-sided group sequential design with 90 % power and 2.5 % Type I Error. Spending computations assume trial stops if a bound is crossed. Analysis N Z Nominal p Spend 1 21 3.25 0.0006 0.0006 2 41 2.99 0.0014 0.0013 3 62 2.69 0.0036 0.0028 4 82 2.37 0.0088 0.0063 5 103 2.03 0.0214 0.0140 Total 0.0250 ++ alpha spending: Hwang-Shih-DeCani spending function with gamma = -4. Boundary crossing probabilities and expected sample size assume any cross stops the trial Upper boundary (power or Type I Error) Analysis Theta 1 2 3 4 5 Total E{N} 0.0000 0.0006 0.0013 0.0028 0.0063 0.0140 0.0250 101.6 0.0162 0.0007 0.0018 0.0041 0.0092 0.0202 0.0359 101.6 0.0324 0.0009 0.0024 0.0058 0.0131 0.0282 0.0505 101.4 0.0486 0.0012 0.0033 0.0082 0.0183 0.0386 0.0696 101.2 0.0648 0.0015 0.0045 0.0112 0.0251 0.0514 0.0938 100.9 0.0810 0.0020 0.0061 0.0153 0.0338 0.0667 0.1238 100.4 0.0972 0.0025 0.0080 0.0205 0.0445 0.0845 0.1599 99.9 0.1135 0.0031 0.0106 0.0270 0.0574 0.1044 0.2024 99.1 0.1297 0.0038 0.0137 0.0351 0.0726 0.1258 0.2511 98.2 0.1459 0.0048 0.0177 0.0450 0.0901 0.1479 0.3055 97.2 0.1621 0.0059 0.0225 0.0568 0.1097 0.1696 0.3645 95.9 0.1783 0.0072 0.0284 0.0707 0.1308 0.1898 0.4270 94.4 0.1945 0.0088 0.0356 0.0867 0.1531 0.2073 0.4914 92.8 0.2107 0.0107 0.0441 0.1048 0.1756 0.2209 0.5561 90.9 0.2269 0.0130 0.0541 0.1248 0.1977 0.2299 0.6194 88.8 0.2431 0.0157 0.0657 0.1465 0.2183 0.2335 0.6796 86.6 0.2593 0.0188 0.0791 0.1696 0.2364 0.2316 0.7355 84.2 0.2755 0.0224 0.0943 0.1936 0.2514 0.2243 0.7859 81.6 0.2917 0.0266 0.1114 0.2179 0.2622 0.2122 0.8303 79.0 0.3079 0.0315 0.1304 0.2418 0.2685 0.1961 0.8683 76.4 0.3242 0.0370 0.1512 0.2647 0.2699 0.1771 0.9000 73.7 0.3404 0.0434 0.1738 0.2859 0.2664 0.1562 0.9257 71.0 0.3566 0.0506 0.1980 0.3046 0.2582 0.1347 0.9461 68.3 0.3728 0.0587 0.2236 0.3202 0.2457 0.1136 0.9617 65.7 0.3890 0.0677 0.2502 0.3322 0.2297 0.0936 0.9735 63.1 0.4052 0.0779 0.2776 0.3401 0.2110 0.0754 0.9820 60.7 0.4214 0.0891 0.3053 0.3438 0.1905 0.0594 0.9881 58.3 0.4376 0.1015 0.3330 0.3430 0.1689 0.0458 0.9923 56.1 0.4538 0.1152 0.3602 0.3380 0.1473 0.0345 0.9952 53.9 0.4700 0.1300 0.3864 0.3289 0.1262 0.0255 0.9970 51.9 0.4862 0.1462 0.4112 0.3161 0.1063 0.0184 0.9982 50.0 0.5024 0.1637 0.4341 0.3001 0.0881 0.0130 0.9990 48.2 0.5186 0.1824 0.4547 0.2815 0.0718 0.0090 0.9994 46.5 0.5349 0.2025 0.4726 0.2610 0.0576 0.0061 0.9997 44.9 0.5511 0.2238 0.4875 0.2391 0.0454 0.0040 0.9998 43.4 0.5673 0.2463 0.4992 0.2166 0.0352 0.0026 0.9999 41.9 0.5835 0.2700 0.5074 0.1940 0.0269 0.0017 1.0000 40.6 0.5997 0.2947 0.5122 0.1718 0.0202 0.0010 1.0000 39.3 0.6159 0.3205 0.5135 0.1504 0.0150 0.0006 1.0000 38.1 0.6321 0.3472 0.5112 0.1303 0.0109 0.0004 1.0000 37.0 0.6483 0.3746 0.5057 0.1116 0.0078 0.0002 1.0000 35.9 Lower boundary (futility or Type II Error) Analysis Theta 1 2 3 4 5 Total 0.0000 6e-04 0.0013 0.0028 0.0063 0.0140 0.0250 0.0162 4e-04 0.0009 0.0019 0.0042 0.0095 0.0170 0.0324 3e-04 0.0006 0.0013 0.0028 0.0063 0.0114 0.0486 3e-04 0.0004 0.0009 0.0018 0.0041 0.0074 0.0648 2e-04 0.0003 0.0006 0.0011 0.0025 0.0047 0.0810 1e-04 0.0002 0.0004 0.0007 0.0016 0.0030 0.0972 1e-04 0.0001 0.0002 0.0004 0.0009 0.0018 0.1135 1e-04 0.0001 0.0001 0.0003 0.0005 0.0011 0.1297 1e-04 0.0001 0.0001 0.0001 0.0003 0.0007 0.1459 0e+00 0.0000 0.0001 0.0001 0.0002 0.0004 0.1621 0e+00 0.0000 0.0000 0.0000 0.0001 0.0002 0.1783 0e+00 0.0000 0.0000 0.0000 0.0000 0.0001 0.1945 0e+00 0.0000 0.0000 0.0000 0.0000 0.0001 0.2107 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.2269 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.2431 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.2593 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.2755 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.2917 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.3079 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.3242 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.3404 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.3566 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.3728 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.3890 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.4052 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.4214 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.4376 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.4538 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.4700 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.4862 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.5024 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.5186 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.5349 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.5511 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.5673 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.5835 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.5997 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.6159 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.6321 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.6483 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 Symmetric two-sided group sequential design with 90 % power and 2.5 % Type I Error. Spending computations assume trial stops if a bound is crossed. Analysis N Z Nominal p Spend 1 21 3.25 0.0006 0.0006 2 41 2.99 0.0014 0.0013 3 62 2.69 0.0036 0.0028 4 82 2.37 0.0088 0.0063 5 103 2.03 0.0214 0.0140 Total 0.0250 ++ alpha spending: Hwang-Shih-DeCani spending function with gamma = -4. Boundary crossing probabilities and expected sample size assume any cross stops the trial Upper boundary (power or Type I Error) Analysis Theta 1 2 3 4 5 Total E{N} 0.0000 0.0006 0.0013 0.0028 0.0063 0.0140 0.025 101.6 0.3242 0.0370 0.1512 0.2647 0.2699 0.1771 0.900 73.7 Lower boundary (futility or Type II Error) Analysis Theta 1 2 3 4 5 Total 0.0000 6e-04 0.0013 0.0028 0.0063 0.014 0.025 0.3242 0e+00 0.0000 0.0000 0.0000 0.000 0.000 Time to event group sequential design with HR= 0.5 Equal randomization: ratio=1 Asymmetric two-sided group sequential design with 90 % power and 2.5 % Type I Error. Upper bound spending computations assume trial continues if lower bound is crossed. ----Lower bounds---- ----Upper bounds----- Analysis N Z Nominal p Spend+ Z Nominal p Spend++ 1 38 0.55 0.7089 0.0577 3.01 0.0013 0.0013 2 75 1.30 0.9027 0.0239 2.55 0.0054 0.0049 3 112 2.00 0.9772 0.0184 2.00 0.0228 0.0188 Total 0.1000 0.0250 + lower bound beta spending (under H1): Kim-DeMets (power) spending function with rho = 0.5. ++ alpha spending: Hwang-Shih-DeCani spending function with gamma = -4. Boundary crossing probabilities and expected sample size assume any cross stops the trial Upper boundary (power or Type I Error) Analysis Theta 1 2 3 Total E{N} 0.0000 0.0013 0.0048 0.0130 0.0191 50.6 0.0174 0.0018 0.0073 0.0197 0.0289 52.7 0.0349 0.0026 0.0109 0.0290 0.0425 55.0 0.0523 0.0036 0.0159 0.0414 0.0608 57.5 0.0698 0.0049 0.0226 0.0573 0.0848 60.2 0.0872 0.0066 0.0317 0.0770 0.1152 62.9 0.1047 0.0088 0.0434 0.1004 0.1526 65.6 0.1221 0.0117 0.0583 0.1271 0.1970 68.3 0.1396 0.0153 0.0767 0.1563 0.2483 70.9 0.1570 0.0199 0.0991 0.1868 0.3058 73.2 0.1744 0.0257 0.1255 0.2170 0.3681 75.3 0.1919 0.0327 0.1559 0.2451 0.4337 77.1 0.2093 0.0413 0.1900 0.2694 0.5006 78.5 0.2268 0.0516 0.2274 0.2881 0.5671 79.4 0.2442 0.0638 0.2672 0.3001 0.6310 79.8 0.2617 0.0782 0.3083 0.3044 0.6909 79.8 0.2791 0.0949 0.3495 0.3010 0.7454 79.4 0.2965 0.1141 0.3895 0.2902 0.7938 78.5 0.3140 0.1359 0.4268 0.2729 0.8356 77.3 0.3314 0.1604 0.4600 0.2505 0.8709 75.8 0.3489 0.1877 0.4879 0.2244 0.9000 74.0 0.3663 0.2176 0.5095 0.1964 0.9235 72.1 0.3838 0.2501 0.5241 0.1679 0.9422 70.0 0.4012 0.2851 0.5313 0.1404 0.9567 67.9 0.4187 0.3222 0.5310 0.1147 0.9679 65.7 0.4361 0.3611 0.5235 0.0917 0.9763 63.6 0.4535 0.4016 0.5094 0.0717 0.9827 61.5 0.4710 0.4431 0.4894 0.0548 0.9874 59.4 0.4884 0.4853 0.4645 0.0411 0.9909 57.4 0.5059 0.5277 0.4357 0.0301 0.9934 55.5 0.5233 0.5697 0.4040 0.0216 0.9953 53.7 0.5408 0.6110 0.3705 0.0152 0.9967 51.9 0.5582 0.6510 0.3362 0.0104 0.9976 50.3 0.5757 0.6894 0.3019 0.0070 0.9983 48.8 0.5931 0.7259 0.2683 0.0046 0.9988 47.4 0.6105 0.7601 0.2361 0.0030 0.9992 46.0 0.6280 0.7919 0.2057 0.0019 0.9995 44.8 0.6454 0.8210 0.1775 0.0012 0.9996 43.7 0.6629 0.8474 0.1516 0.0007 0.9998 42.7 0.6803 0.8711 0.1283 0.0004 0.9998 41.9 0.6978 0.8921 0.1075 0.0002 0.9999 41.1 Lower boundary (futility or Type II Error) Analysis Theta 1 2 3 Total 0.0000 0.7089 0.2112 0.0608 0.9809 0.0174 0.6715 0.2247 0.0749 0.9711 0.0349 0.6322 0.2352 0.0900 0.9575 0.0523 0.5916 0.2423 0.1053 0.9392 0.0698 0.5499 0.2454 0.1200 0.9152 0.0872 0.5076 0.2442 0.1329 0.8848 0.1047 0.4653 0.2389 0.1432 0.8474 0.1221 0.4234 0.2296 0.1501 0.8030 0.1396 0.3823 0.2166 0.1528 0.7517 0.1570 0.3425 0.2006 0.1511 0.6942 0.1744 0.3043 0.1824 0.1452 0.6319 0.1919 0.2682 0.1627 0.1354 0.5663 0.2093 0.2344 0.1424 0.1226 0.4994 0.2268 0.2031 0.1222 0.1077 0.4329 0.2442 0.1744 0.1028 0.0918 0.3690 0.2617 0.1485 0.0848 0.0758 0.3091 0.2791 0.1252 0.0686 0.0608 0.2546 0.2965 0.1047 0.0543 0.0472 0.2062 0.3140 0.0867 0.0422 0.0356 0.1644 0.3314 0.0711 0.0321 0.0259 0.1291 0.3489 0.0577 0.0239 0.0184 0.1000 0.3663 0.0465 0.0175 0.0126 0.0765 0.3838 0.0370 0.0125 0.0083 0.0578 0.4012 0.0292 0.0087 0.0054 0.0433 0.4187 0.0228 0.0060 0.0033 0.0321 0.4361 0.0176 0.0040 0.0020 0.0237 0.4535 0.0135 0.0026 0.0012 0.0173 0.4710 0.0102 0.0017 0.0007 0.0126 0.4884 0.0077 0.0011 0.0004 0.0091 0.5059 0.0057 0.0007 0.0002 0.0066 0.5233 0.0042 0.0004 0.0001 0.0047 0.5408 0.0030 0.0002 0.0000 0.0033 0.5582 0.0022 0.0001 0.0000 0.0024 0.5757 0.0016 0.0001 0.0000 0.0017 0.5931 0.0011 0.0000 0.0000 0.0012 0.6105 0.0008 0.0000 0.0000 0.0008 0.6280 0.0005 0.0000 0.0000 0.0005 0.6454 0.0004 0.0000 0.0000 0.0004 0.6629 0.0002 0.0000 0.0000 0.0002 0.6803 0.0002 0.0000 0.0000 0.0002 0.6978 0.0001 0.0000 0.0000 0.0001 T n Events HR futility HR efficacy IA 1 14.62151 94.04674 37.07307 0.835 0.372 IA 2 23.01537 148.03673 74.14613 0.740 0.554 Final 36.00000 154.36995 111.21920 0.684 0.684 Accrual rates: Stratum 1 0-24 6.43 Control event rates (H1): Stratum 1 0-Inf 0.12 Censoring rates: Stratum 1 0-Inf 0.02 One-sided group sequential design with 90 % power and 2.5 % Type I Error. Sample Size Analysis Ratio* Z Nominal p Spend 1 0.205 3.25 0.0006 0.0006 2 0.409 2.99 0.0014 0.0013 3 0.614 2.69 0.0036 0.0028 4 0.819 2.37 0.0088 0.0063 5 1.023 2.03 0.0214 0.0140 Total 0.0250 ++ alpha spending: Hwang-Shih-DeCani spending function with gamma = -4. * Sample size ratio compared to fixed design with no interim Boundary crossing probabilities and expected sample size assume any cross stops the trial Upper boundary (power or Type I Error) Analysis Theta 1 2 3 4 5 Total E{N} 0.0000 0.0006 0.0013 0.0028 0.0063 0.0140 0.0250 1.0197 0.1621 0.0007 0.0018 0.0041 0.0092 0.0202 0.0359 1.0182 0.3242 0.0009 0.0024 0.0058 0.0131 0.0282 0.0505 1.0161 0.4862 0.0012 0.0033 0.0082 0.0183 0.0386 0.0696 1.0133 0.6483 0.0015 0.0045 0.0112 0.0251 0.0514 0.0938 1.0096 0.8104 0.0020 0.0061 0.0153 0.0338 0.0667 0.1238 1.0049 0.9725 0.0025 0.0080 0.0205 0.0445 0.0845 0.1599 0.9990 1.1345 0.0031 0.0106 0.0270 0.0574 0.1044 0.2024 0.9916 1.2966 0.0038 0.0137 0.0351 0.0726 0.1258 0.2511 0.9826 1.4587 0.0048 0.0177 0.0450 0.0901 0.1479 0.3055 0.9718 1.6208 0.0059 0.0225 0.0568 0.1097 0.1696 0.3645 0.9591 1.7828 0.0072 0.0284 0.0707 0.1308 0.1898 0.4270 0.9443 1.9449 0.0088 0.0356 0.0867 0.1531 0.2073 0.4914 0.9275 2.1070 0.0107 0.0441 0.1048 0.1756 0.2209 0.5561 0.9088 2.2691 0.0130 0.0541 0.1248 0.1977 0.2299 0.6194 0.8881 2.4311 0.0157 0.0657 0.1465 0.2183 0.2335 0.6796 0.8656 2.5932 0.0188 0.0791 0.1696 0.2364 0.2316 0.7355 0.8417 2.7553 0.0224 0.0943 0.1936 0.2514 0.2243 0.7859 0.8165 2.9174 0.0266 0.1114 0.2179 0.2622 0.2122 0.8303 0.7904 3.0794 0.0315 0.1304 0.2418 0.2685 0.1961 0.8683 0.7636 3.2415 0.0370 0.1512 0.2647 0.2699 0.1771 0.9000 0.7366 3.4036 0.0434 0.1738 0.2859 0.2664 0.1562 0.9257 0.7096 3.5657 0.0506 0.1980 0.3046 0.2582 0.1347 0.9461 0.6829 3.7277 0.0587 0.2236 0.3202 0.2457 0.1136 0.9617 0.6567 3.8898 0.0677 0.2502 0.3322 0.2297 0.0936 0.9735 0.6313 4.0519 0.0779 0.2776 0.3401 0.2110 0.0754 0.9820 0.6068 4.2140 0.0891 0.3053 0.3438 0.1905 0.0594 0.9881 0.5832 4.3760 0.1015 0.3330 0.3430 0.1689 0.0458 0.9923 0.5608 4.5381 0.1152 0.3602 0.3380 0.1473 0.0345 0.9952 0.5394 4.7002 0.1300 0.3864 0.3289 0.1262 0.0255 0.9970 0.5192 4.8623 0.1462 0.4112 0.3161 0.1063 0.0184 0.9982 0.5001 5.0243 0.1637 0.4341 0.3001 0.0881 0.0130 0.9990 0.4820 5.1864 0.1824 0.4547 0.2815 0.0718 0.0090 0.9994 0.4650 5.3485 0.2025 0.4726 0.2610 0.0576 0.0061 0.9997 0.4489 5.5106 0.2238 0.4875 0.2391 0.0454 0.0040 0.9998 0.4337 5.6727 0.2463 0.4992 0.2166 0.0352 0.0026 0.9999 0.4194 5.8347 0.2700 0.5074 0.1940 0.0269 0.0017 1.0000 0.4059 5.9968 0.2947 0.5122 0.1718 0.0202 0.0010 1.0000 0.3931 6.1589 0.3205 0.5135 0.1504 0.0150 0.0006 1.0000 0.3811 6.3210 0.3472 0.5112 0.1303 0.0109 0.0004 1.0000 0.3697 6.4830 0.3746 0.5057 0.1116 0.0078 0.0002 1.0000 0.3589 Lower bounds Upper bounds Analysis N Z Nominal p Z Nominal p 1 21 -3.25 0.0006 3.25 0.0006 2 41 -2.99 0.0014 2.99 0.0014 3 62 -2.69 0.0036 2.69 0.0036 4 82 -2.37 0.0088 2.37 0.0088 5 103 -2.03 0.0214 2.03 0.0214 Boundary crossing probabilities and expected sample size assume any cross stops the trial Upper boundary Analysis Theta 1 2 3 4 5 Total E{N} 0.000 0.0006 0.0013 0.0028 0.0063 0.0140 0.0250 101.6 0.025 0.0008 0.0021 0.0050 0.0112 0.0243 0.0434 101.5 0.050 0.0012 0.0034 0.0084 0.0188 0.0396 0.0714 101.2 0.075 0.0018 0.0054 0.0137 0.0303 0.0607 0.1119 100.6 0.100 0.0026 0.0084 0.0215 0.0465 0.0877 0.1667 99.8 0.125 0.0036 0.0127 0.0326 0.0680 0.1195 0.2365 98.5 0.150 0.0050 0.0188 0.0479 0.0949 0.1535 0.3201 96.9 0.175 0.0069 0.0272 0.0677 0.1264 0.1859 0.4141 94.7 0.200 0.0094 0.0383 0.0926 0.1607 0.2124 0.5134 92.1 0.225 0.0127 0.0528 0.1223 0.1951 0.2291 0.6120 89.1 0.250 0.0169 0.0711 0.1562 0.2263 0.2334 0.7039 85.6 0.275 0.0223 0.0938 0.1928 0.2509 0.2246 0.7844 81.7 0.300 0.0290 0.1208 0.2302 0.2660 0.2044 0.8505 77.7 0.325 0.0374 0.1524 0.2659 0.2699 0.1760 0.9015 73.5 0.350 0.0475 0.1880 0.2974 0.2620 0.1434 0.9384 69.4 0.375 0.0598 0.2272 0.3221 0.2437 0.1107 0.9636 65.3 0.400 0.0745 0.2688 0.3381 0.2173 0.0810 0.9796 61.5 0.425 0.0918 0.3115 0.3440 0.1857 0.0562 0.9892 57.8 0.450 0.1118 0.3539 0.3395 0.1523 0.0370 0.9946 54.4 0.475 0.1349 0.3942 0.3253 0.1200 0.0231 0.9975 51.3 0.500 0.1610 0.4308 0.3027 0.0907 0.0137 0.9989 48.5 Lower boundary Analysis Theta 1 2 3 4 5 Total 0.000 6e-04 0.0013 0.0028 0.0063 0.0140 0.0250 0.025 4e-04 0.0007 0.0016 0.0034 0.0076 0.0137 0.050 3e-04 0.0004 0.0008 0.0017 0.0039 0.0071 0.075 2e-04 0.0002 0.0004 0.0008 0.0019 0.0036 0.100 1e-04 0.0001 0.0002 0.0004 0.0009 0.0017 0.125 1e-04 0.0001 0.0001 0.0002 0.0004 0.0008 0.150 0e+00 0.0000 0.0000 0.0001 0.0001 0.0003 0.175 0e+00 0.0000 0.0000 0.0000 0.0001 0.0001 0.200 0e+00 0.0000 0.0000 0.0000 0.0000 0.0001 0.225 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.250 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.275 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.300 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.325 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.350 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.375 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.400 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.425 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.450 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.475 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.500 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 Lower bounds Upper bounds Analysis N Z Nominal p Z Nominal p 1 21 -3.25 0.0006 3.25 0.0006 2 41 -2.99 0.0014 2.99 0.0014 3 62 -2.69 0.0036 2.69 0.0036 4 82 -2.37 0.0088 2.37 0.0088 5 103 -2.03 0.0214 2.03 0.0214 Boundary crossing probabilities and expected sample size assume any cross stops the trial Upper boundary Analysis Theta 1 2 3 4 5 Total E{N} 0.000 0.0006 0.0013 0.0028 0.0063 0.0140 0.0250 101.6 0.025 0.0008 0.0021 0.0050 0.0112 0.0243 0.0434 101.5 0.050 0.0012 0.0034 0.0084 0.0188 0.0396 0.0714 101.2 0.075 0.0018 0.0054 0.0137 0.0303 0.0607 0.1119 100.6 0.100 0.0026 0.0084 0.0215 0.0465 0.0877 0.1667 99.8 0.125 0.0036 0.0127 0.0326 0.0680 0.1195 0.2365 98.5 0.150 0.0050 0.0188 0.0479 0.0949 0.1535 0.3201 96.9 0.175 0.0069 0.0272 0.0677 0.1264 0.1859 0.4141 94.7 0.200 0.0094 0.0383 0.0926 0.1607 0.2124 0.5134 92.1 0.225 0.0127 0.0528 0.1223 0.1951 0.2291 0.6120 89.1 0.250 0.0169 0.0711 0.1562 0.2263 0.2334 0.7039 85.6 0.275 0.0223 0.0938 0.1928 0.2509 0.2246 0.7844 81.7 0.300 0.0290 0.1208 0.2302 0.2660 0.2044 0.8505 77.7 0.325 0.0374 0.1524 0.2659 0.2699 0.1760 0.9015 73.5 0.350 0.0475 0.1880 0.2974 0.2620 0.1434 0.9384 69.4 0.375 0.0598 0.2272 0.3221 0.2437 0.1107 0.9636 65.3 0.400 0.0745 0.2688 0.3381 0.2173 0.0810 0.9796 61.5 0.425 0.0918 0.3115 0.3440 0.1857 0.0562 0.9892 57.8 0.450 0.1118 0.3539 0.3395 0.1523 0.0370 0.9946 54.4 0.475 0.1349 0.3942 0.3253 0.1200 0.0231 0.9975 51.3 0.500 0.1610 0.4308 0.3027 0.0907 0.0137 0.9989 48.5 Lower boundary Analysis Theta 1 2 3 4 5 Total 0.000 6e-04 0.0013 0.0028 0.0063 0.0140 0.0250 0.025 4e-04 0.0007 0.0016 0.0034 0.0076 0.0137 0.050 3e-04 0.0004 0.0008 0.0017 0.0039 0.0071 0.075 2e-04 0.0002 0.0004 0.0008 0.0019 0.0036 0.100 1e-04 0.0001 0.0002 0.0004 0.0009 0.0017 0.125 1e-04 0.0001 0.0001 0.0002 0.0004 0.0008 0.150 0e+00 0.0000 0.0000 0.0001 0.0001 0.0003 0.175 0e+00 0.0000 0.0000 0.0000 0.0001 0.0001 0.200 0e+00 0.0000 0.0000 0.0000 0.0000 0.0001 0.225 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.250 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.275 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.300 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.325 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.350 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.375 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.400 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.425 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.450 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.475 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.500 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 Asymmetric two-sided group sequential design with 90 % power and 2.5 % Type I Error. Spending computations assume trial stops if a bound is crossed. ----Lower bounds---- ----Upper bounds----- Analysis N Z Nominal p Spend+ Z Nominal p Spend++ 1 21 -3.25 0.0006 0.0006 3.25 0.0006 0.0006 2 41 -2.99 0.0014 0.0013 2.99 0.0014 0.0013 3 62 -2.69 0.0036 0.0028 2.69 0.0036 0.0028 4 82 -2.37 0.0088 0.0063 2.37 0.0088 0.0063 5 103 -2.03 0.0214 0.0140 2.03 0.0214 0.0140 Total 0.0250 0.0250 + lower bound beta spending (under H1): Hwang-Shih-DeCani spending function with gamma = -4. ++ alpha spending: Hwang-Shih-DeCani spending function with gamma = -4. Boundary crossing probabilities and expected sample size assume any cross stops the trial Upper boundary (power or Type I Error) Analysis Theta 1 2 3 4 5 Total E{N} 0.0000 0.0006 0.0013 0.0028 0.0063 0.0140 0.025 101.6 0.3242 0.0370 0.1512 0.2647 0.2699 0.1771 0.900 73.7 Lower boundary (futility or Type II Error) Analysis Theta 1 2 3 4 5 Total 0.0000 6e-04 0.0013 0.0028 0.0063 0.014 0.025 0.3242 0e+00 0.0000 0.0000 0.0000 0.000 0.000 Lower bounds Upper bounds Analysis N Z Nominal p Z Nominal p 1 21 -3.25 0.0006 3.25 0.0006 2 41 -2.99 0.0014 2.99 0.0014 3 62 -2.69 0.0036 2.69 0.0036 4 82 -2.37 0.0088 2.37 0.0088 5 103 -2.03 0.0214 2.03 0.0214 Boundary crossing probabilities and expected sample size assume any cross stops the trial Upper boundary Analysis Theta 1 2 3 4 5 Total E{N} 0.000 0.0006 0.0013 0.0028 0.0063 0.0140 0.0250 101.6 0.025 0.0008 0.0021 0.0050 0.0112 0.0243 0.0434 101.5 0.050 0.0012 0.0034 0.0084 0.0188 0.0396 0.0714 101.2 0.075 0.0018 0.0054 0.0137 0.0303 0.0607 0.1119 100.6 0.100 0.0026 0.0084 0.0215 0.0465 0.0877 0.1667 99.8 0.125 0.0036 0.0127 0.0326 0.0680 0.1195 0.2365 98.5 0.150 0.0050 0.0188 0.0479 0.0949 0.1535 0.3201 96.9 0.175 0.0069 0.0272 0.0677 0.1264 0.1859 0.4141 94.7 0.200 0.0094 0.0383 0.0926 0.1607 0.2124 0.5134 92.1 0.225 0.0127 0.0528 0.1223 0.1951 0.2291 0.6120 89.1 0.250 0.0169 0.0711 0.1562 0.2263 0.2334 0.7039 85.6 0.275 0.0223 0.0938 0.1928 0.2509 0.2246 0.7844 81.7 0.300 0.0290 0.1208 0.2302 0.2660 0.2044 0.8505 77.7 0.325 0.0374 0.1524 0.2659 0.2699 0.1760 0.9015 73.5 0.350 0.0475 0.1880 0.2974 0.2620 0.1434 0.9384 69.4 0.375 0.0598 0.2272 0.3221 0.2437 0.1107 0.9636 65.3 0.400 0.0745 0.2688 0.3381 0.2173 0.0810 0.9796 61.5 0.425 0.0918 0.3115 0.3440 0.1857 0.0562 0.9892 57.8 0.450 0.1118 0.3539 0.3395 0.1523 0.0370 0.9946 54.4 0.475 0.1349 0.3942 0.3253 0.1200 0.0231 0.9975 51.3 0.500 0.1610 0.4308 0.3027 0.0907 0.0137 0.9989 48.5 Lower boundary Analysis Theta 1 2 3 4 5 Total 0.000 6e-04 0.0013 0.0028 0.0063 0.0140 0.0250 0.025 4e-04 0.0007 0.0016 0.0034 0.0076 0.0137 0.050 3e-04 0.0004 0.0008 0.0017 0.0039 0.0071 0.075 2e-04 0.0002 0.0004 0.0008 0.0019 0.0036 0.100 1e-04 0.0001 0.0002 0.0004 0.0009 0.0017 0.125 1e-04 0.0001 0.0001 0.0002 0.0004 0.0008 0.150 0e+00 0.0000 0.0000 0.0001 0.0001 0.0003 0.175 0e+00 0.0000 0.0000 0.0000 0.0001 0.0001 0.200 0e+00 0.0000 0.0000 0.0000 0.0000 0.0001 0.225 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.250 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.275 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.300 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.325 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.350 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.375 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.400 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.425 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.450 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.475 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.500 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 Lower bounds Upper bounds Analysis N Z Nominal p Z Nominal p 1 21 -3.25 0.0006 3.25 0.0006 2 41 -2.99 0.0014 2.99 0.0014 3 62 -2.69 0.0036 2.69 0.0036 4 82 -2.37 0.0088 2.37 0.0088 5 103 -2.03 0.0214 2.03 0.0214 Boundary crossing probabilities and expected sample size assume any cross stops the trial Upper boundary Analysis Theta 1 2 3 4 5 Total E{N} 0.000 0.0006 0.0013 0.0028 0.0063 0.0140 0.0250 101.6 0.025 0.0008 0.0021 0.0050 0.0112 0.0243 0.0434 101.5 0.050 0.0012 0.0034 0.0084 0.0188 0.0396 0.0714 101.2 0.075 0.0018 0.0054 0.0137 0.0303 0.0607 0.1119 100.6 0.100 0.0026 0.0084 0.0215 0.0465 0.0877 0.1667 99.8 0.125 0.0036 0.0127 0.0326 0.0680 0.1195 0.2365 98.5 0.150 0.0050 0.0188 0.0479 0.0949 0.1535 0.3201 96.9 0.175 0.0069 0.0272 0.0677 0.1264 0.1859 0.4141 94.7 0.200 0.0094 0.0383 0.0926 0.1607 0.2124 0.5134 92.1 0.225 0.0127 0.0528 0.1223 0.1951 0.2291 0.6120 89.1 0.250 0.0169 0.0711 0.1562 0.2263 0.2334 0.7039 85.6 0.275 0.0223 0.0938 0.1928 0.2509 0.2246 0.7844 81.7 0.300 0.0290 0.1208 0.2302 0.2660 0.2044 0.8505 77.7 0.325 0.0374 0.1524 0.2659 0.2699 0.1760 0.9015 73.5 0.350 0.0475 0.1880 0.2974 0.2620 0.1434 0.9384 69.4 0.375 0.0598 0.2272 0.3221 0.2437 0.1107 0.9636 65.3 0.400 0.0745 0.2688 0.3381 0.2173 0.0810 0.9796 61.5 0.425 0.0918 0.3115 0.3440 0.1857 0.0562 0.9892 57.8 0.450 0.1118 0.3539 0.3395 0.1523 0.0370 0.9946 54.4 0.475 0.1349 0.3942 0.3253 0.1200 0.0231 0.9975 51.3 0.500 0.1610 0.4308 0.3027 0.0907 0.0137 0.9989 48.5 Lower boundary Analysis Theta 1 2 3 4 5 Total 0.000 6e-04 0.0013 0.0028 0.0063 0.0140 0.0250 0.025 4e-04 0.0007 0.0016 0.0034 0.0076 0.0137 0.050 3e-04 0.0004 0.0008 0.0017 0.0039 0.0071 0.075 2e-04 0.0002 0.0004 0.0008 0.0019 0.0036 0.100 1e-04 0.0001 0.0002 0.0004 0.0009 0.0017 0.125 1e-04 0.0001 0.0001 0.0002 0.0004 0.0008 0.150 0e+00 0.0000 0.0000 0.0001 0.0001 0.0003 0.175 0e+00 0.0000 0.0000 0.0000 0.0001 0.0001 0.200 0e+00 0.0000 0.0000 0.0000 0.0000 0.0001 0.225 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.250 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.275 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.300 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.325 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.350 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.375 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.400 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.425 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.450 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.475 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 0.500 0e+00 0.0000 0.0000 0.0000 0.0000 0.0000 NULL NULL Linear spending function with none = [ FAIL 0 | WARN 9 | SKIP 118 | PASS 1858 ] ══ Skipped tests (118) ═════════════════════════════════════════════════════════ • On CRAN (118): 'test-independent-test-as_rtf.R:2:3', 'test-independent-test-as_rtf.R:14:3', 'test-independent-test-as_rtf.R:28:3', 'test-independent-test-as_rtf.R:41:3', 'test-independent-test-as_rtf.R:53:3', 'test-independent-test-gsBoundSummary.R:10:3', 'test-independent-test-gsBoundSummary.R:18:3', 'test-independent-test-gsBoundSummary.R:26:3', 'test-independent-test-gsBoundSummary.R:35:3', 'test-independent-test-gsBoundSummary.R:44:3', 'test-independent-test-gsBoundSummary.R:53:3', 'test-independent-test-gsBoundSummary.R:63:3', 'test-independent-test-hGraph.R:3:3', 'test-independent-test-hGraph.R:8:3', 'test-independent-test-hGraph.R:13:3', 'test-independent-test-hGraph.R:18:3', 'test-independent-test-hGraph.R:31:3', 'test-independent-test-hGraph.R:51:3', 'test-independent-test-hGraph.R:60:3', 'test-independent-test-plot.binomialSPRT.R:11:3', 'test-independent-test-plot.binomialSPRT.R:27:3', 'test-independent-test-plot.gsBinomialExact.R:10:3', 'test-independent-test-plot.gsBinomialExact.R:25:3', 'test-independent-test-plot.gsBinomialExact.R:40:3', 'test-independent-test-plot.gsBinomialExact.R:55:3', 'test-independent-test-plot.gsBinomialExact.R:70:3', 'test-independent-test-plot.gsDesign.R:4:3', 'test-independent-test-plot.gsDesign.R:13:3', 'test-independent-test-plot.gsDesign.R:22:3', 'test-independent-test-plot.gsDesign.R:31:3', 'test-independent-test-plot.gsDesign.R:40:3', 'test-independent-test-plot.gsDesign.R:49:3', 'test-independent-test-plot.gsDesign.R:58:3', 'test-independent-test-plot.gsDesign.R:67:3', 'test-independent-test-plot.gsDesign.R:76:3', 'test-independent-test-plot.gsDesign.R:85:3', 'test-independent-test-plot.gsDesign.R:94:3', 'test-independent-test-plot.gsDesign.R:107:3', 'test-independent-test-plot.gsDesign.R:120:3', 'test-independent-test-plot.gsDesign.R:129:3', 'test-independent-test-plot.gsProbability.R:5:3', 'test-independent-test-plot.gsProbability.R:12:3', 'test-independent-test-plot.gsProbability.R:19:3', 'test-independent-test-plot.gsProbability.R:26:3', 'test-independent-test-plot.gsProbability.R:33:3', 'test-independent-test-plot.gsProbability.R:40:3', 'test-independent-test-plot.gsProbability.R:47:3', 'test-independent-test-plot.gsProbability.R:54:3', 'test-independent-test-plot.gsProbability.R:61:3', 'test-independent-test-plot.ssrCP.R:16:3', 'test-independent-test-plotASN.R:67:3', 'test-independent-test-plotASN.R:71:3', 'test-independent-test-plotBval.R:51:3', 'test-independent-test-plotHR.R:47:3', 'test-independent-test-plotRR.R:48:3', 'test-independent-test-plotgsCP.R:42:3', 'test-independent-test-plotgsCP.R:54:3', 'test-independent-test-plotgsPower.R:39:3', 'test-independent-test-plotgsPower.R:96:3', 'test-independent-test-plotgsZ.R:55:3', 'test-independent-test-plotsf.R:40:3', 'test-independent-test-plotsf.R:52:3', 'test-independent-test-plotsf.R:64:3', 'test-independent-test-print.eEvents.R:18:3', 'test-independent-test-print.gsBoundSummary.R:11:3', 'test-independent-test-print.gsDesign.R:9:3', 'test-independent-test-print.gsDesign.R:16:3', 'test-independent-test-print.gsDesign.R:23:3', 'test-independent-test-print.gsDesign.R:30:3', 'test-independent-test-print.gsDesign.R:37:3', 'test-independent-test-print.gsDesign.R:44:3', 'test-independent-test-print.gsDesign.R:51:3', 'test-independent-test-print.gsDesign.R:58:3', 'test-independent-test-print.gsDesign.R:65:3', 'test-independent-test-print.gsProbability.R:8:3', 'test-independent-test-print.gsProbability.R:18:3', 'test-independent-test-print.gsProbability.R:26:3', 'test-independent-test-print.gsSurv.R:15:3', 'test-independent-test-print.gsSurv.R:29:3', 'test-independent-test-print.gsSurv.R:39:3', 'test-independent-test-print.gsSurv.R:49:3', 'test-independent-test-print.gsSurv.R:58:3', 'test-independent-test-print.nSurv.R:19:3', 'test-independent-test-print.nSurv.R:30:3', 'test-independent-test-print.nSurv.R:42:3', 'test-independent-test-print.nSurvival.R:19:3', 'test-independent-test-print.nSurvival.R:29:3', 'test-independent-test-print.nSurvival.R:40:3', 'test-independent-test-print.nSurvival.R:51:3', 'test-independent-test-print.nSurvival.R:63:3', 'test-independent-test-print.nSurvival.R:75:3', 'test-independent-test-print.nSurvival.R:87:3', 'test-independent-test-sfprint.R:12:5', 'test-independent-test-sfprint.R:20:3', 'test-independent-test-sfprint.R:28:3', 'test-independent-test-sfprint.R:38:3', 'test-independent-test-sfprint.R:48:3', 'test-independent-test-sfprint.R:58:3', 'test-independent-test-summary.gsDesign.R:8:3', 'test-independent-test-summary.gsDesign.R:15:3', 'test-independent-test-summary.gsDesign.R:24:5', 'test-independent-test-summary.gsDesign.R:34:5', 'test-independent-test-summary.gsDesign.R:44:5', 'test-independent-test-summary.gsDesign.R:54:5', 'test-independent-test-summary.gsDesign.R:92:3', 'test-independent-test-summary.gsDesign.R:107:3', 'test-independent-test-summary.gsDesign.R:116:3', 'test-independent-test-summary.gsDesign.R:125:5', 'test-independent-test-summary.spendfn.R:18:3', 'test-independent-test-summary.spendfn.R:25:3', 'test-independent-test-summary.spendfn.R:32:3', 'test-independent-test-summary.spendfn.R:42:3', 'test-independent-test-summary.spendfn.R:51:3', 'test-independent-test-summary.spendfn.R:60:3', 'test-independent-test-xprint.R:13:5', 'test-independent-test-xtable.gsSurv.R:12:5', 'test-independent-test-xtable.gsSurv.R:23:5', 'test-independent-test-xtable.gsSurv.R:37:5' [ FAIL 0 | WARN 9 | SKIP 118 | PASS 1858 ] > > proc.time() user system elapsed 124.06 1.68 126.03