Papers in Meteorology and Geophysics
Online ISSN : 1880-6643
Print ISSN : 0031-126X
ISSN-L : 0031-126X
Numerical Tables of the Percent Points in the F-distribution for the Detailed Significance Levels
Kiyoshi Kurashige
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1969 Volume 20 Issue 3 Pages 253-273

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Abstract
Numerical tables of the percent points in the F-distribution are calculated by an iterative numerical integration for fine levels. The calcluation is given by where a=1P is the percentage level, and (ni, n2) is the paired degrees of freedom. The computation is carried out for 295 values of re as is shown by a=100.0 (1.0)26.0,25.0 (0.5)10.5,10.0(0.1)1.1,1.00 (0.01)0.01%, Percentiles of the F (n1, n2) distribution are given roughly to 5significant figures by this calculation scheme for the case of the paired degrees of freedom, (3,3), (3,9), (9,9) and (1,9). However, in the case of (1,1) and (1,3), its values are given with less precision. On the latter cases, the accuracy of percentiles is attained up to 8significant figures at the lowest, by Newton-Raphson's method. The revised numerical tables of percent points of the F-distribution for the paired degrees of freedom (1,1), (1,3), (1,9), (3,3), (3,9) and (9,9) are supplemented in this paper.
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© by Japan Meteorological Agency / Meteorological Research Institute
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