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Berry, Donald A., Statistics: A Bayesian Perspective, Hollander, Myles, and Douglas Wolfe, Nonparametric
Brooks/Cole—Cengage Learning, Belmont, CA, Statistical Methods (2nd ed.), Wiley, New York,
1996, An elementary introduction to Bayesian 1999. A very good reference on distribution-free
ideas and methodology. methods with an excellent collection of tables.
Gelman, Andrew, John B. Carlin, Hal S. Stern, and — Lehmann, Erich, Nonparametrics: Statistical Methods
Donald B. Rubin, Bayesian Data Analysis (2nd ed.), Based on Ranks (revised ed.), Springer, New York,
Chapman and Hall, London, 2003. An up-to-date 2006. An excellent discussion of the most impor-
survey of theoretical, practical, and computational tant distribution-free methods, presented with a
issues in Bayesian inference. great deal of insightful commentary.
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Appendix Tables
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788 Appendix Tables
Table A.1 Cumulative Binomial Probabilities .
BOs; n, p) = by 1, p)
0
an=5
P
0.01 (0.05) 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.75 0.80 0.90 0.95 0.99
0 951 774 590) 328.237.168.078 = .031 «010.002.001.000 .000 000.000
1 999 977 919.737 633. 528.337.188.087 031.016.007.000 .000 .000
x 2 1.000 999 991 .942 896 .837 683 .500 .317 .163 .104 .058 .009 .001 .000
3 1.000 1.000 1.000 .993 984 969 913 812 663 472 367 .263 081 .023 001
4 1.000 1.000 1.000 1.000 .999 .998 .990 .969 .922 .832 .763 .672 410 .226 .049
bo n=10
P
0.01 0.05 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.75 0.80 0.90 0.95 0.99
0 904 599 349 107.056 028.006.001.000 .000 .000 .000 .000 .000 .000
1 996 914.736 376 244.149.046.011 -.002 000.000 .000 .000 .000 .000
2 1.000 988 930 678 526.383.167.055 012.002 .000 .000 .000 .000 .000
3 1.000.999 987.879.776.650 382-172-055 O11 004 ~.001 000 .000 .000
4 1.000 1.000 998 .967 .922 .850 .633 .377 .166 .047 .020 .006 .000 .000 .000
eS
5 1.000 1.000 1.000 .994 980 .953. 834.623. 367.150.078.033 .002 000 .000
6 1.000 1,000 1.000 .999 996 989 945 828 618 .350 .224 .121 .013 .001 .000
7 1.000 1.000 1.000 1.000 1.000 .998 .988 945 833.617 474 322.070.012.000
8 1.000 1.000 1.000 1.000 1.000 1.000 .998 .989 .954 851 .756 .624 .264 .086 .004
9 1.000 1.000 1.000 1.000 1.000 1.000 1.000 .999 .994 .972 .944 .893 .651 .401 .096
en=15
Pp
0.01 0.05 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.75 0.80 0.90 0.95 0.99
0 860 463.206 §.035 013, 005.000.000.000 000.000.000.000 .000 .000
1 990 829 549.167.080.035. 005.000 = .000 000 .000 .000 .000 .000 .000
2 1.000 .964 816 .398 .236 «=.127 027.004.000.000 .000 .000 .000 .000 .000
3 1.000 995 944 648 461 .297 091 .018 .002 .000 .000 .000 .000 .000 .000
4 1.000 .999 987 836 686 SIS .217 059 009.001.000.000 .000 .000 .000
5 1.000 1.000 .998 .939 852 .722 402 .151 .034 004 001 .000 .000 .000 .000
6 1.000 1.000 1.000 .982 .943 869 610 .304 .095 .015 .004 .001 .000 .000 .000
x 7 1.000 1.000 1.000 .996 .983 950.787.500.213. 050 017.004.000.000 .000
8 1.000 1.000 1.000 999 .996 985 905 .696 .390 .131 .057 .018 .000 .000 .000
9 1.000 1.000 1.000 1.000 .999 996 966 .849 .597 .278 .148 .061 .002 .000 .000
10 1.000 1.000 1.000 1.000 1.000 .999 .991 .941 .783 485 314 .164 013 .001 .000
11 1,000 1.000 1.000 1,000 1.000 1,000 .998 982 .909 .703 .539 .352 .056 .005 .000
12 1,000 1.000 1,000 1,000 1.000 1,000 1,000 .996 .973 .873 .764 .602 .184 .036 .000
13 1,000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 .995 .965 920 833 .451 .171 .010
14 1,000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1,000 .995 987 .965 .794 .537 .140
(continued)
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Appendix Tables 789
Table A.1 Cumulative Binomial Probabilities (cont.) <
B(x; n, p) = > bys n. p)
=
d.n = 20
Pp
0.01 0.05 0.10 0.20 06.25 0.30 0.40 0.50 0.60 0.70 0.75 0.80 0.90 0.95 0.99
O 818 358 122.012.003.001 000.000.000.000 .000 000 .000 .000 .000
1 983.736 «392, 069.024. .008)—.001_— 000.000.000.000 .000 .000 .000 .000
2 999 925 677 206 =.091 035.004.000.000 000.000.000.000 .000 .000
31,000 984 867 411.225, 107.016.001.000 000.000.000.000 .000 .000
4 1.000 .997 957 630 415 .238 051 = =.006 §=.000 .000 .000 000 .000 .000 .000
5 1,000 1.000.989 804 617 416.126.021.002 000.000.000.000 .000 .000
6 1.000 1.000 998 .913 .786 608 .250 058.006 .000 .000 .000 .000 .000 .000
7 1.000 1.000 1.000 968 898 .772 416 .132 .021 .001 .000 .000 .000 .000 .000
8 1.000 1.000 1.000 990 .959 887 596.252.057.005 .001 .000 .000 .000 .000
9 1.000 1.000 1.000 .997 986 .952 .755 412 .128 .017 .004 .001 .000 .000 .000
x
10 1.000 1.000 1.000 .999 996 .983 872 588.245.048.014 003.000.000.000
11 1.000 1.000 1.000 1.000 .999 995 943 .748 404 .113 041 .010 .000 .000 .000
12 1.000 1.000 1.000 1.000 1.000 .999 979 .868 584.228.102.032 000.000 .000
13° 1,000 1.000 1.000 1.000 1.000 1.000 .994 942 .750 .392 .214 .087 .002 .000 .000
14 1,000 1.000 1.000 1.000 1.000 1.000 998 .979 874 584 383.196 .011 .000 .000
15 1,000 1.000 1.000 1.000 1.000 1,000 1.000 .994 .949 .762 585.370 .043 .003 .000
16 1.000 1.000 1.000 1.000 1.000 1.000 1.000 .999 984 893 .775 .589 .133 016 .000
17 1,000 1,000 1,000 1,000 1.000 1.000 1.000 1.000 .996 .965 .909 .794 .323 .075 .001
18 1,000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 .999 992 .976 .931 .608 .264 .0I7
19 1,000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1,000 .999 997 988 .878 642 .182
(continued)
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790 Appendix Tables
Table A.1 Cumulative Binomial Probabilities (cont.)
B(x; n, p) = > b(n. p)