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Table 3 Minimum and maximum parameters [ a,b] of uniform distribution given mean μ and variance τ 2

From: Sample size determination for a binary response in a superiority clinical trial using a hybrid classical and Bayesian procedure

μ/ τ 2 0.001 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 0.055 0.06 0.065 0.07 0.075 0.08 0.0833
0.01                   
0.05                   
0.1 [0.045,0.155]                  
0.15 [0.095,0.205] [0.028,0.272]                 
0.2 [0.145,0.255] [0.078,0.322] [0.027,0.373]                
0.25 [0.195,0.305] [0.128,0.372] [0.077,0.423] [0.038,0.462] [0.005,0.495]              
0.3 [0.245,0.355] [0.178,0.422] [0.127,0.473] [0.088,0.512] [0.055,0.545] [0.026,0.574] [0,0.6]            
0.35 [0.295,0.405] [0.228,0.472] [0.177,0.523] [0.138,0.562] [0.105,0.595] [0.076,0.624] [0.05,0.65] [0.026,0.674] [0.004,0.696]          
0.4 [0.345,0.455] [0.278,0.522] [0.227,0.573] [0.188,0.612] [0.155,0.645] [0.126,0.674] [0.1,0.7] [0.076,0.724] [0.054,0.746] [0.033,0.767] [0.013,0.787]        
0.45 [0.395,0.505] [0.328,0.572] [0.277,0.623] [0.238,0.662] [0.205,0.695] [0.176,0.724] [0.15,0.75] [0.126,0.774] [0.104,0.796] [0.083,0.817] [0.063,0.837] [0.044,0.856] [0.026,0.874] [0.008,0.892]     
0.5 [0.445,0.555] [0.378,0.622] [0.327,0.673] [0.288,0.712] [0.255,0.745] [0.226,0.774] [0.2,0.8] [0.176,0.824] [0.154,0.846] [0.133,0.867] [0.113,0.887] [0.094,0.906] [0.076,0.924] [0.058,0.942] [0.042,0.958] [0.026,0.974] [0.01,0.99] [0,1]
0.55 [0.495,0.605] [0.428,0.672] [0.377,0.723] [0.338,0.762] [0.305,0.795] [0.276,0.824] [0.25,0.85] [0.226,0.874] [0.204,0.896] [0.183,0.917] [0.163,0.937] [0.144,0.956] [0.126,0.974] [0.108,0.992]     
0.6 [0.545,0.655] [0.478,0.722] [0.427,0.773] [0.388,0.812] [0.355,0.845] [0.326,0.874] [0.3,0.9] [0.276,0.924] [0.254,0.946] [0.233,0.967] [0.213,0.987]        
0.65 [0.595,0.705] [0.528,0.772] [0.477,0.823] [0.438,0.862] [0.405,0.895] [0.376,0.924] [0.35,0.95] [0.326,0.974] [0.304,0.996]          
0.7 [0.645,0.755] [0.578,0.822] [0.527,0.873] [0.488,0.912] [0.455,0.945] [0.426,0.974] [0.4,1]            
0.75 [0.695,0.805] [0.628,0.872] [0.577,0.923] [0.538,0.962] [0.505,0.995]              
0.8 [0.745,0.855] [0.678,0.922] [0.627,0.973]                
0.85 [0.795,0.905] [0.728,0.972]                 
0.9 [0.845,0.955]                  
0.95                   
0.99