Tables of Percentage Points of the Incomplete Beta-Function

Abstract

The incomplete [beta]-function plays an important part in many biological applications of statistical methods. In particular, the significance levels of Fisher''s z-distribution or Snedecor''s F-distribution can be obtained easily from those of the incomplete [beta]-function, as explained in this paper. The significance levels are tabulated to 5 significant figures for 50, 25, 10, 5, 2.5, 1 and 0.5% probabilities. The degrees of freedom for which entries are given are as follows: v 1 = l (1) 10, 12, 15, 20. 24, 30, 40, 60. 120 : v 2=1 (1) 30, 40. 60, 120. CO. There are no previous tables for the 50, 25, 10. 2.5 and 0.5% probabilities while the fables for the 5 and 1% levels provide greater accuracy than is available in previous tables for those levels.