ウィルコクソンの符号付順位和検定     Last modified: Jan 07, 2005

 例えば,$N = 14$, $T = 20$ のとき有意水準 $5\%$ で両側検定を行うとするときは,表からパーセント点は $21$ であることが分かり,$T < 21$ ゆえ帰無仮説を棄却する。
 パーセント点の横の数値は,検定統計量がちょうどパーセント点の値のときの正確な有意水準である。例の場合だと $0.04944$ である。


ウィルコクソンの符号付順位和検定の統計表
$N$ 両側検定 $\alpha=0.05$  両側検定 $\alpha=0.01$  片側検定 $\alpha=0.05$  片側検定 $\alpha=0.01$ 
5 --- --- --- --- 00.03125 --- ---
6 00.03125 --- --- 20.04688 --- ---
7 20.04688 --- --- 30.03906 00.00781
8 30.03906 00.00781 50.03906 10.00781
9 50.03906 10.00781 80.04883 30.00977
10 80.04883 30.00977 100.04199 50.00977
11 100.04199 50.00977 130.04150 70.00928
12 130.04248 70.00928 170.04614 90.00806
13 170.04785 90.00806 210.04712 120.00854
14 210.04944 120.00854 250.04529 150.00830
15 250.04791 150.00836 300.04730 190.00903
16 290.04431 190.00919 350.04672 230.00912
17 340.04477 230.00934 410.04919 270.00871
18 400.04828 270.00896 470.04937 320.00912
19 460.04937 320.00945 530.04776 370.00904
20 520.04844 370.00944 600.04865 430.00962
21 580.04599 420.00902 670.04790 490.00974
22 650.04616 480.00927 750.04921 550.00948
23 730.04844 540.00915 830.04899 620.00978
24 810.04906 610.00958 910.04755 690.00972
25 890.04826 680.00964 1000.04787 760.00937
26 980.04935 750.00938 1100.04967 840.00949
27 1070.04910 830.00961 1190.04769 920.00933
28 1160.04775 910.00954 1300.04964 1010.00956
29 1260.04803 1000.00988 1400.04817 1100.00952
30 1370.04971 1090.00993 1510.04805 1200.00983
31 1470.04789 1180.00974 1630.04909 1300.00989
32 1590.04977 1280.00991 1750.04919 1400.00972
33 1700.04843 1380.00984 1870.04848 1510.00987
34 1820.04838 1480.00957 2000.04882 1620.00981
35 1950.04946 1590.00963 2130.04839 1730.00956
36 2080.04964 1710.00996 2270.04890 1850.00959
37 2210.04904 1820.00962 2410.04868 1980.00986
38 2350.04947 1940.00956 2560.04932 2110.00994
39 2490.04915 2070.00976 2710.04928 2240.00986
40 2640.04976 2200.00978 2860.04862 2380.00999
41 2790.04966 2330.00964 3020.04875 2520.00997
42 2940.04892 2470.00973 3190.04960 2660.00980
43 3100.04904 2610.00966 3360.04983 2810.00984
44 3270.04994 2760.00980 3530.04950 2960.00974
45 3430.04885 2910.00979 3710.04984 3120.00982
46 3610.04987 3070.00997 3890.04966 3280.00977
47 3780.04901 3220.00969 4070.04899 3450.00989
48 3960.04889 3390.00992 4260.04896 3620.00988
49 4150.04943 3550.00971 4460.04949 3790.00976
50 4340.04945 3730.00996 4660.04954 3970.00979
51 4530.04897 3900.00981 4860.04916 4160.00997
52 4730.04912 4080.00982 5070.04931 4340.00979
53 4940.04986 4270.00998 5290.04996 4540.00999
54 5140.04908 4450.00977 5500.04928 4730.00985
55 5360.04989 4650.00996 5730.04998 4930.00984
56 5570.04926 4840.00979 5950.04941 5140.00996
57 5790.04918 5040.00977 6180.04933 5350.00998
58 6020.04963 5250.00989 6420.04969 5560.00991
59 6250.04965 5460.00990 6660.04967 5780.00996
60 6480.04928 5670.00982 6900.04931 6000.00992
61 6720.04940 5890.00986 7150.04938 6230.00999
62 6970.04998 6110.00982 7410.04984 6460.00997
63 7210.04936 6340.00989 7670.04995 6690.00988
64 7470.05000 6570.00987 7930.04974 6930.00989
65 7720.04948 6810.00996 8200.04991 7180.01000
66 7980.04941 7050.00997 8470.04978 7420.00985
67 8250.04975 7290.00990 8750.05000 7680.00998
68 8520.04975 7540.00993 9030.04992 7930.00986
69 8790.04944 7790.00989 9310.04956 8190.00984
70 9070.04952 8050.00994 9600.04954 8460.00991
71 9360.04997 8310.00992 9900.04985 8730.00991
72 9640.04943 8580.0100010200.04988 9010.00999
73 9940.04993 8840.0098410500.04965 9280.00986
7410230.04948 9120.0099310810.04972 9570.00996
7510530.04940 9400.0099511120.04955 9860.00999
7610840.04965 9680.0099111440.0496710150.00995
7711150.04962 9970.0099511760.0495510440.00986
7811470.0499210260.0099312090.0497110750.00998
7911790.0499510560.0099812420.0496311050.00991
8012110.0497110860.0099812760.0498211360.00991
8112440.0497911160.0099113100.0497811680.00998
8212770.0496211470.0099213450.0500012000.01000
8313110.0497511780.0098813800.0499912320.00996
8413450.0496412100.0099114150.0497812650.00998
8513800.0498112420.0098814510.0498112980.00996
8614150.0497512750.0099214870.0496413320.01000
8714510.0499613080.0099115240.0497113660.00998
8814870.0499413420.0099615610.0495814000.00992
8915230.0497013760.0099615990.0496814350.00992
9015600.0497214100.0099116380.0500014710.00998
9115970.0495414450.0099316760.0497115070.00999
9216350.0496114800.0098917150.0496515430.00995
9316740.0499215160.0099217550.0498015800.00998
9417120.0495815520.0099017950.0497616170.00995
9517520.0499215890.0099418360.0499416550.00998
9617910.0496316260.0099318770.0499316930.00997
9718320.0500016640.0099819180.0497517310.00991
9818720.0497417020.0099819600.0497817700.00991
9919130.0497217400.0099420030.0499918100.00996
10019550.0499217790.0099520450.0496818500.00997


・ 直前のページへ戻る  ・ E-mail to Shigenobu AOKI