C and b are fixed in the image below, irrespective of input value of C in the left column. ..................................................To seek related probabilities for given a and b.
Referring values of gamma- and beta-function n=ipossible errors in lower | |

Calculation errors of b Errors vary by E. The smaller E is, the smaller become the errors. Following tables are values for reference.
Degree of freedom n=1, and C=0.025(decimals not rounded) E=0.01 E=0.001 E=0.0001 E=0.00001 Known value Shown values of b 12.755 12.7065 12.7062 12.7061 12.706 Degree of freedom n=5, and C=0.025(decimals not rounded) E=0.01 E=0.001 E=0.0001 E=0.00001 Known value Shown values of b 2.575 2.5705 2.5706 2.5705 2.571 Degree of freedom n=1, and E=0.0001(decimals not rounded) C=0.1 C=0.05 C=0.025 C=0.01 C=0.005 Shown values of b 3.0777 6.3137 12.7062 31.8205 63.65705 Known values of b 3.078 6.314 12.706 31.821 63.657 Degree of freedom n=5, and E=0.0001(decimals not rounded) C=0.1 C=0.05 C=0.025 C=0.01 C=0.005 Shown values of b 1.4758 2.0150 2.5706 3.3649 4.0321 Known values of b 1.476 2.015 2.571 3.365 4.032 |