χ²分布表(カイ二乗分布の上側パーセント点)

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表の値は、自由度 $n$ の $\chi^2$ 分布で上側確率が $\alpha$ になる点 $\chi^2_\alpha(n)$ です。適合度検定・独立性の検定では上側($\alpha=0.05$ など)を、分散の信頼区間では両端の 2 列を使います。

自由度α=0.995α=0.99α=0.975α=0.95α=0.9α=0.1α=0.05α=0.025α=0.01α=0.005
1000.0010.0040.0162.7063.8415.0246.6357.879
20.010.020.0510.1030.2114.6055.9917.3789.2110.597
30.0720.1150.2160.3520.5846.2517.8159.34811.34512.838
40.2070.2970.4840.7111.0647.7799.48811.14313.27714.86
50.4120.5540.8311.1451.619.23611.0712.83315.08616.75
60.6760.8721.2371.6352.20410.64512.59214.44916.81218.548
70.9891.2391.692.1672.83312.01714.06716.01318.47520.278
81.3441.6462.182.7333.4913.36215.50717.53520.0921.955
91.7352.0882.73.3254.16814.68416.91919.02321.66623.589
102.1562.5583.2473.944.86515.98718.30720.48323.20925.188
112.6033.0533.8164.5755.57817.27519.67521.9224.72526.757
123.0743.5714.4045.2266.30418.54921.02623.33726.21728.3
133.5654.1075.0095.8927.04219.81222.36224.73627.68829.819
144.0754.665.6296.5717.7921.06423.68526.11929.14131.319
154.6015.2296.2627.2618.54722.30724.99627.48830.57832.801
165.1425.8126.9087.9629.31223.54226.29628.8453234.267
175.6976.4087.5648.67210.08524.76927.58730.19133.40935.718
186.2657.0158.2319.3910.86525.98928.86931.52634.80537.156
196.8447.6338.90710.11711.65127.20430.14432.85236.19138.582
207.4348.269.59110.85112.44328.41231.4134.1737.56639.997
218.0348.89710.28311.59113.2429.61532.67135.47938.93241.401
228.6439.54210.98212.33814.04130.81333.92436.78140.28942.796
239.2610.19611.68913.09114.84832.00735.17238.07641.63844.181
249.88610.85612.40113.84815.65933.19636.41539.36442.9845.559
2510.5211.52413.1214.61116.47334.38237.65240.64644.31446.928
2611.1612.19813.84415.37917.29235.56338.88541.92345.64248.29
2711.80812.87914.57316.15118.11436.74140.11343.19546.96349.645
2812.46113.56515.30816.92818.93937.91641.33744.46148.27850.993
2913.12114.25616.04717.70819.76839.08742.55745.72249.58852.336
3013.78714.95316.79118.49320.59940.25643.77346.97950.89253.672
4020.7122.1624.4326.5129.0551.8155.7659.3463.6966.77
5027.9929.7132.3634.7637.6963.1767.571.4276.1579.49
6035.5337.4840.4843.1946.4674.479.0883.388.3891.95
7043.2845.4448.7651.7455.3385.5390.5395.02100.43104.21
8051.1753.5457.1560.3964.2896.58101.88106.63112.33116.32
9059.261.7565.6569.1373.29107.57113.15118.14124.12128.3
10067.3370.0674.2277.9382.36118.5124.34129.56135.81140.17

表の引き方の詳しい説明は統計数値表の使い方にあります。

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