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t分布表(両側)

この表はt分布の臨界値を示しています。これらの臨界t値は、さまざまな統計検定における有意性の閾値を決定し、信頼区間の上限と下限を設定するために使用されます(表の下の例を参照)。

t分布。

  DF   A
P
0.80
0.20
0.90
0.10
0.95
0.05
0.98
0.02
0.99
0.01
0.995
0.005
0.998
0.002
0.999
0.001
1 3.0786.31412.70631.82063.657127.321318.309636.619
2 1.8862.9204.3036.9659.92514.08922.32731.599
3 1.6382.3533.1824.5415.8417.45310.21512.924
4 1.5332.1322.7763.7474.6045.5987.1738.610
5 1.4762.0152.5713.3654.0324.7735.8936.869
6 1.4401.9432.4473.1433.7074.3175.2085.959
7 1.4151.8952.3652.9983.4994.0294.7855.408
8 1.3971.8602.3062.8973.3553.8334.5015.041
9 1.3831.8332.2622.8213.2503.6904.2974.781
10 1.3721.8122.2282.7643.1693.5814.1444.587
11 1.3631.7962.2012.7183.1063.4974.0254.437
12 1.3561.7822.1792.6813.0553.4283.9304.318
13 1.3501.7712.1602.6503.0123.3723.8524.221
14 1.3451.7612.1452.6252.9773.3263.7874.140
15 1.3411.7532.1312.6022.9473.2863.7334.073
16 1.3371.7462.1202.5842.9213.2523.6864.015
17 1.3331.7402.1102.5672.8983.2223.6463.965
18 1.3301.7342.1012.5522.8783.1973.6103.922
19 1.3281.7292.0932.5392.8613.1743.5793.883
20 1.3251.7252.0862.5282.8453.1533.5523.850
21 1.3231.7212.0802.5182.8313.1353.5273.819
22 1.3211.7172.0742.5082.8193.1193.5053.792
23 1.3191.7142.0692.5002.8073.1043.4853.768
24 1.3181.7112.0642.4922.7973.0903.4673.745
25 1.3161.7082.0602.4852.7873.0783.4503.725
26 1.3151.7062.0562.4792.7793.0673.4353.707
27 1.3141.7032.0522.4732.7713.0573.4213.690
28 1.3131.7012.0482.4672.7633.0473.4083.674
29 1.3111.6992.0452.4622.7563.0383.3963.659
30 1.3101.6972.0422.4572.7503.0303.3853.646
31 1.3091.6952.0402.4532.7443.0223.3753.633
32 1.3091.6942.0372.4492.7383.0153.3653.622
33 1.3081.6922.0352.4452.7333.0083.3563.611
34 1.3071.6912.0322.4412.7283.0023.3483.601
35 1.3061.6902.0302.4382.7242.9963.3403.591
36 1.3061.6882.0282.4342.7192.9913.3333.582
37 1.3051.6872.0262.4312.7152.9853.3263.574
38 1.3041.6862.0242.4292.7122.9803.3193.566
39 1.3041.6852.0232.4262.7082.9763.3133.558
40 1.3031.6842.0212.4232.7042.9713.3073.551
42 1.3021.6822.0182.4182.6982.9633.2963.538
44 1.3011.6802.0152.4142.6922.9563.2863.526
46 1.3001.6792.0132.4102.6872.9493.2773.515
48 1.2991.6772.0112.4072.6822.9433.2693.505
50 1.2991.6762.0092.4032.6782.9373.2613.496
60 1.2961.6712.0002.3902.6602.9153.2323.460
70 1.2941.6671.9942.3812.6482.8993.2113.435
80 1.2921.6641.9902.3742.6392.8873.1953.416
90 1.2911.6621.9872.3692.6322.8783.1833.402
100 1.2901.6601.9842.3642.6262.8713.1743.391
120 1.2891.6581.9802.3582.6172.8603.1603.373
150 1.2871.6551.9762.3512.6092.8493.1453.357
200 1.2861.6521.9722.3452.6012.8393.1313.340
300 1.2841.6501.9682.3392.5922.8283.1183.323
500 1.2831.6481.9652.3342.5862.8203.1073.310
∞   1.282 1.645 1.960 2.326 2.576 2.807 3.090 3.291

例:平均値の信頼区間の上限と下限を求める

標本の平均は128.5、平均の標準誤差(SEM)は6.2、標本サイズは32です。

平均の99%信頼区間はいくらですか?

自由度(DF)はn−1 = 31で、面積0.99の列のt値は2.744です。したがって99%信頼区間は次のとおりです:

 平均 − t SEM  〜  平均 + t SEM 
128.5 − 2.744 × 6.2〜128.5 + 2.744 × 6.2
111.5〜145.5

 

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