Comparison of Binomial proportion confidence interval
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pサンプルサイズconfidence levelアルゴリズム信頼区間内に入った回数シミュレーション回数カバレッジ# of zero width interval処理時間 [ms]
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0.11000.95NormalApproximationInterval932461100000093.246%2419508
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0.11000.95ClopperPearsonInterval955854100000095.585%066033
4
0.11000.95WilsonScoreInterval936629100000093.663%019739
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0.11000.95AgrestiCoullInterval971568100000097.157%019449
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0.12000.95NormalApproximationInterval926851100000092.685%019513
7
0.12000.95ClopperPearsonInterval966867100000096.687%072180
8
0.12000.95WilsonScoreInterval956123100000095.612%019596
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0.12000.95AgrestiCoullInterval956123100000095.612%019569
10
0.13000.95NormalApproximationInterval937252100000093.725%019619
11
0.13000.95ClopperPearsonInterval966155100000096.616%078748
12
0.13000.95WilsonScoreInterval957328100000095.733%019914
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0.13000.95AgrestiCoullInterval957328100000095.733%019509
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0.14000.95NormalApproximationInterval949148100000094.915%019702
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0.14000.95ClopperPearsonInterval954488100000095.449%083177
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0.14000.95WilsonScoreInterval944956100000094.496%019556
17
0.14000.95AgrestiCoullInterval944956100000094.496%019730
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0.15000.95NormalApproximationInterval942494100000094.249%019778
19
0.15000.95ClopperPearsonInterval963202100000096.320%085191
20
0.15000.95WilsonScoreInterval956076100000095.608%020066
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0.15000.95AgrestiCoullInterval956076100000095.608%019369
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0.16000.95NormalApproximationInterval939067100000093.907%019531
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0.16000.95ClopperPearsonInterval959008100000095.901%086905
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0.16000.95WilsonScoreInterval951806100000095.181%019889
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0.16000.95AgrestiCoullInterval951806100000095.181%019537
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0.17000.95NormalApproximationInterval953478100000095.348%019824
27
0.17000.95ClopperPearsonInterval956140100000095.614%086741
28
0.17000.95WilsonScoreInterval949319100000094.932%019785
29
0.17000.95AgrestiCoullInterval949319100000094.932%019739
30
0.18000.95NormalApproximationInterval952277100000095.228%019899
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0.18000.95ClopperPearsonInterval955004100000095.500%085709
32
0.18000.95WilsonScoreInterval948477100000094.848%019825
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0.18000.95AgrestiCoullInterval948477100000094.848%019669
34
0.19000.95NormalApproximationInterval952390100000095.239%019485
35
0.19000.95ClopperPearsonInterval954657100000095.466%084469
36
0.19000.95WilsonScoreInterval948403100000094.840%019604
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0.19000.95AgrestiCoullInterval948403100000094.840%019638
38
0.110000.95NormalApproximationInterval952997100000095.300%019498
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0.110000.95ClopperPearsonInterval954948100000095.495%081196
40
0.110000.95WilsonScoreInterval949065100000094.907%019761
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0.110000.95AgrestiCoullInterval949065100000094.907%019659
42
0.120000.95NormalApproximationInterval946115100000094.612%019696
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0.120000.95ClopperPearsonInterval955696100000095.570%092419
44
0.120000.95WilsonScoreInterval951725100000095.173%019794
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0.120000.95AgrestiCoullInterval951725100000095.173%019614
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0.130000.95NormalApproximationInterval947718100000094.772%019522
47
0.130000.95ClopperPearsonInterval955349100000095.535%0102658
48
0.130000.95WilsonScoreInterval952083100000095.208%020160
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0.130000.95AgrestiCoullInterval952083100000095.208%019564
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0.140000.95NormalApproximationInterval948420100000094.842%019327
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0.140000.95ClopperPearsonInterval954909100000095.491%0111980
52
0.140000.95WilsonScoreInterval952026100000095.203%019703
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0.140000.95AgrestiCoullInterval952026100000095.203%019400
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0.150000.95NormalApproximationInterval951957100000095.196%019748
55
0.150000.95ClopperPearsonInterval952467100000095.247%0113281
56
0.150000.95WilsonScoreInterval949803100000094.980%019860
57
0.150000.95AgrestiCoullInterval949803100000094.980%019772
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0.160000.95NormalApproximationInterval951909100000095.191%019689
59
0.160000.95ClopperPearsonInterval952356100000095.236%0105554
60
0.160000.95WilsonScoreInterval949940100000094.994%019862
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0.160000.95AgrestiCoullInterval949940100000094.994%019798
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0.170000.95NormalApproximationInterval948694100000094.869%019894
63
0.170000.95ClopperPearsonInterval953662100000095.366%099364
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0.170000.95WilsonScoreInterval951420100000095.142%019378
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0.170000.95AgrestiCoullInterval951420100000095.142%019582
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0.180000.95NormalApproximationInterval951436100000095.144%019705
67
0.180000.95ClopperPearsonInterval951720100000095.172%0112029
68
0.180000.95WilsonScoreInterval949584100000094.958%019757
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0.180000.95AgrestiCoullInterval949584100000094.958%019897
70
0.190000.95NormalApproximationInterval950591100000095.059%013840
71
0.190000.95ClopperPearsonInterval950874100000095.087%092402
72
0.190000.95WilsonScoreInterval948860100000094.886%014076
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0.190000.95AgrestiCoullInterval948860100000094.886%013958
74
0.1100000.95NormalApproximationInterval950891100000095.089%013562
75
0.1100000.95ClopperPearsonInterval950918100000095.092%091137
76
0.1100000.95WilsonScoreInterval948915100000094.892%013390
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0.1100000.95AgrestiCoullInterval948915100000094.892%013216
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0.091000.95NormalApproximationInterval944945100000094.495%8412956
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0.091000.95ClopperPearsonInterval965853100000096.585%047409
80
0.091000.95WilsonScoreInterval948805100000094.881%012978
81
0.091000.95AgrestiCoullInterval948805100000094.881%013025
82
0.092000.95NormalApproximationInterval939603100000093.960%012712
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0.092000.95ClopperPearsonInterval965378100000096.538%052571
84
0.092000.95WilsonScoreInterval937599100000093.760%012796
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0.092000.95AgrestiCoullInterval965378100000096.538%012932
86
0.093000.95NormalApproximationInterval949016100000094.902%012657
87
0.093000.95ClopperPearsonInterval956656100000095.666%057937
88
0.093000.95WilsonScoreInterval945744100000094.574%012891
89
0.093000.95AgrestiCoullInterval945744100000094.574%012951
90
0.094000.95NormalApproximationInterval938357100000093.836%019966
91
0.094000.95ClopperPearsonInterval964014100000096.401%081206
92
0.094000.95WilsonScoreInterval955830100000095.583%019807
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0.094000.95AgrestiCoullInterval955830100000095.583%019867
94
0.095000.95NormalApproximationInterval953494100000095.349%019675
95
0.095000.95ClopperPearsonInterval957729100000095.773%084446
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0.095000.95WilsonScoreInterval949510100000094.951%019652
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0.095000.95AgrestiCoullInterval949510100000094.951%019754
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0.096000.95NormalApproximationInterval950046100000095.005%019644
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0.096000.95ClopperPearsonInterval953857100000095.386%086181
100
0.096000.95WilsonScoreInterval945811100000094.581%019774
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data
data2
wilson score
N = 100
N = 1000
N = 10000
p = 0.001
p = 0.005
p = 0.01
p = 0.05
p = 0.1
computation time