t分布临界值表.pdf

统计分布临界值表之欧阳育创编

欧阳育创编 2021.02.04 欧阳育创编 2021.02.04

欧阳育创编 2021.02.04 欧阳育创编 2021.02.04 附录

时间：2021.02.04 创作：欧阳育

附表一：随机数表1

附表二：标准正态分布表1

附表三：t分布临界值表1

附表四：2分布临界值表2

附表五：F分布临界值表（α=0.05）2

附表六：单样本K-S检验统计量表2

附表七：符号检验界域表2

附表八：游程检验临界值表2

附表九：相关系数临界值表2

附表十：Spearman等级相关系数临界值表2

附表十一：Kendall等级相关系数临界值表2

附表十二：控制图系数表2

附表一：随机数表

附表二：标准正态分布表

附表三：t分布临界值表

（查表时注意：v是指自由度，并分单侧和双侧两种类型）欧阳育创编 2021.02.04 欧阳育创编 2021.02.04

欧阳育创编 2021.02.04 欧阳育创编 2021.02.04 （左侧的示意图是单侧检验的情形）

附表四：2分布临界值表

附表五：F分布临界值表（α=0.05）

F分布临界值表（α=0.01）

附表六：单样本K-S检验统计量表

附表七：符号检验界域表

附表八：游程检验临界值表

附表九：相关系数临界值表

附表十：Spearman等级相关系数临界值表

附表十一：Kendall等级相关系数临界值表

附表十二：控制图系数表

时间：2021.02.04 创作：欧阳育

统计学附录_F分布,t分布临界值表_全之欧阳化创编

欧阳化创编 2021.02.06

欧阳化创编 2021.02.06 统计学附录 F—分布临界值表

时间：2021.02.06 创作：欧阳化

——α（0.005―0.10）

α=0.005

Fα

k1

k2 1 2 3 4 5 6 8 12 24 ∞

1

2

3

4

5

6

7

8

9

10

11

12

13

14 16211

198.5

55.55

31.33

22.78

18.63

16.24

14.69

13.61

12.83

12.23

11.75

11.37

11.06 20000

199.0

49.80

26.28

18.31

14.45

12.40

11.04

10.11

9.43

8.91

8.51

8.19

7.92 21615

199.2

47.47

24.26

16.53

12.92

10.88

9.60

8.72

8.08

7.60

7.23

6.93

6.68 22500

199.2

46.19

23.15

15.56

12.03

10.05

8.81

7.96

7.34

6.88

6.52

6.23

6.00 23056

199.3

45.39

22.46

14.94

11.46

9.52

8.30

7.47

6.87

6.42

6.07

5.79

5.56 23437

199.3

44.84

21.97

14.51

11.07

9.16

7.95

7.13

6.54

6.10

5.76

5.48

5.26 23925

199.4

44.13

21.35

13.96

10.57

8.68

7.50

6.69

6.12

5.68

5.35

5.08

t检验临界值分布表知识分享

n’P(2):双侧0.50.20.10.050.020.010.0050.002

P(1):单侧0.250.10.050.0250.010.0050.00250.001

113.0786.31412.70631.82163.657127.321318.309

20.8161.8862.924.3036.9659.92514.08922.327

30.7651.6382.3533.1824.5415.8417.45310.215

40.7411.5332.1322.7763.7474.6045.5987.173

50.7271.4762.0152.5713.3654.0324.7735.893

60.7181.441.9432.4473.1433.7074.3175.208

70.7111.4151.8952.3652.9983.4994.0294.785

80.7061.3971.862.3062.8963.3553.8334.501

90.7031.3831.8332.2622.8213.253.694.297

100.71.3721.8122.2282.7643.1693.5814.144

110.6971.3631.7962.2012.7183.1063.4974.025

120.6951.3561.7822.1792.6813.0553.4283.93

130.6941.351.7712.162.653.0123.3723.852

140.6921.3451.7612.1452.6242.9773.3263.787

150.6911.3411.7532.1312.6022.9473.2863.733

160.691.3371.7462.122.5832.9213.2523.686

170.6891.3331.742.112.5672.8983.2223.646

180.6881.331.7342.1012.5522.8783.1973.61

统计学附录_F分布,t分布临界值表

统计学附录 F—分布临界值表——α（0.005―0.10）α=0.005

Fαk1

k2 1 2 3 4 5 6 8 12 24 ∞

1

2 3

4 5

6 7

8 9

10

11 12

13

14

15

16

17 18

19 20 16211

198.5 55.55

31.33 22.78

18.63 16.24

14.69 13.61

12.83

12.23 11.75

11.37

11.06

10.80

10.58

10.38 10.22

10.07 9.94 20000

199.0 49.80

26.28 18.31

14.45 12.40

11.04 10.11

9.43

8.91 8.51

8.19

7.92

7.70

7.51

7.35 7.21

7.09 6.99 21615

199.2 47.47

24.26 16.53

12.92 10.88

9.60 8.72

8.08

7.60 7.23

6.93

6.68

6.48

6.30

6.16 6.03

5.92 5.82 22500

199.2 46.19

23.15 15.56

12.03 10.05

8.81 7.96

7.34

6.88 6.52

6.23

6.00

5.80

5.64

5.50 5.37

5.27 5.17 23056

199.3 45.39

22.46 14.94

11.46 9.52

8.30 7.47

6.87

6.42 6.07

5.79

5.56

5.37

5.21

5.07 4.96

4.85 4.76 23437

199.3 44.84

21.97 14.51

11.07 9.16

7.95 7.13

6.54

6.10 5.76

5.48

5.26

5.07

4.91

4.78 4.66

4.56 4.47 23925

199.4 44.13

21.35 13.96

10.57 8.68

统计分布临界值表

统计分布临界值表附录

附表一：随机数表 ___________________________________________________ 2

附表二：标准正态分布表 _____________________________________________ 3

附表三：t分布临界值表 _____________________________________________ 4

附表四：2χ分布临界值表 ____________________________________________ 5 附表五：F分布临界值表（α=0.05） __________________________________ 7

附表六：单样本K-S检验统计量表 _____________________________________ 9

附表七：符号检验界域表 ____________________________________________ 10

附表八：游程检验临界值表 __________________________________________ 11

附表九：相关系数临界值表 __________________________________________ 12

附表十：Spearman等级相关系数临界值表 _____________________________ 13

附表十一：Kendall等级相关系数临界值表 ____________________________ 14

附表十二：控制图系数表 ____________________________________________ 15 附表一：随机数表

附表二：标准正态分布表

附表三：t分布临界值表（查表时注意：v是指自由度，并分单侧和双侧两种类型）（左侧的示意图是单侧检验的情形）

附表四：2χ分布临界值表

t检验(t-test)临界值表-t检验表

t检验是一种统计方法，用于比较两个样本均值之间是否存在显著差异。在进行t检验时，需要计算样本均值、样本标准差、样本大小等数据，并根据t值和自由度查找t检验表中的临界值，以确定是否拒绝零假设。

以下是t检验(t-test)临界值表-t检验表，用于确定临界值和p值：

自由度| 0.10| 0.05| 0.025| 0.01| 0.005|

------| -----| -----| -----| ----| ----|

1| 3.08| 6.31| 12.71| 31.82| 63.66|

2| 1.89| 2.92| 4.30| 6.96| 9.93|

3| 1.64| 2.35| 3.18| 4.54| 5.84|

4| 1.53| 2.13| 2.78| 3.75| 4.60|

5| 1.48| 2.02| 2.57| 3.36| 4.03|

6| 1.44| 1.94| 2.45| 3.14| 3.71|

7| 1.41| 1.89| 2.37| 2.98| 3.50|

8| 1.40| 1.86| 2.31| 2.90| 3.36|

9| 1.38| 1.83| 2.26| 2.82| 3.25|

10| 1.37| 1.81| 2.23| 2.76| 3.17|

11| 1.36| 1.80| 2.20| 2.71| 3.11|

12| 1.36| 1.78| 2.18| 2.68| 3.06|

13| 1.35| 1.77| 2.16| 2.65| 3.01|

14| 1.35| 1.76| 2.14| 2.62| 2.98| 15| 1.34| 1.75| 2.13| 2.60| 2.95|

16| 1.34| 1.75| 2.12| 2.58| 2.92|

统计学附录-F分布-t分布临界值表-全

统计学附录 F—分布临界值表

——α（―）

α=

Fα

k1

k2 1 2 3 4 5 6 8 12 24 ∞

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23 16211

20000

21615

22500

23056

23437

23925

24426

24940

25465

24

25

26

27

28

29

30

40

60

120

α=

Fα

k1

k2 1 2 3 4 5 6 8 12 24 ∞

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16 4052

4999

5403

5625

5764

5859

5981

6106

6234

6366

17

18

19

20

21

22

23

24

25

26

27

28

29

30

40

60

120

∞

α=

Fα

k1

k2 1 2 3 4 5 6 8 12 24 ∞

1

2

3

4

5

6

7

8

1018

统计学附录_F分布,t分布临界值表_全之欧阳育创编

欧阳育创编 2021.02.04 欧阳育创编 2021.02.04

欧阳育创编 2021.02.04 欧阳育创编 2021.02.04 统计学附录 F—分布临界值表

时间：2021.02.04 创作：欧阳育

——α（0.005―0.10）

α=0.005

Fα

k1

k2 1 2 3 4 5 6 8 12 24 ∞

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16 16211

198.5

55.55

31.33

22.78

18.63

16.24

14.69

13.61

12.83

12.23

11.75

11.37

11.06

10.80

10.58 20000

199.0

49.80

26.28

18.31

14.45

12.40

11.04

10.11

9.43

8.91

8.51

8.19

7.92

7.70

7.51 21615

199.2

47.47

24.26

16.53

12.92

10.88

9.60

8.72

8.08

7.60

7.23

6.93

6.68

6.48

6.30 22500

199.2

46.19

23.15

15.56

12.03

10.05

8.81

7.96

7.34

6.88

6.52

6.23

6.00

5.80

5.64 23056

199.3

45.39

22.46

14.94

11.46

9.52

8.30

7.47

6.87

6.42

6.07

5.79

5.56

5.37

5.21 23437

199.3

44.84

21.97

14.51

11.07

9.16

7.95

7.13

6.54

6.10

5.76

5.48

5.26

5.07

4.91 23925

199.4

44.13

21.35

13.96

概率论综合检验临界值分布表(卡方分布+f分布+t分布等)

t分布表

0.10.050.0250.010.0050.0010.0005单尾df0.20.10.050.020.010.0020.001双尾13.0786.31412.70631.82163.657318.309636.61921.8862.9204.3036.9659.92522.32731.59931.6382.3533.1824.5415.84110.21512.92441.5332.1322.7763.7474.6047.1738.61051.4762.0152.5713.3654.0325.8936.86961.4401.9432.4473.1433.7075.2085.95971.4151.8952.3652.9983.4994.7855.40881.3971.8602.3062.8963.3554.5015.04191.3831.8332.2622.8213.2504.2974.781101.3721.8122.2282.7643.1694.1444.587111.3631.7962.2012.7183.1064.0254.437121.3561.7822.1792.6813.0553.9304.318131.3501.7712.1602.6503.0123.8524.221141.3451.7612.1452.6242.9773.7874.140151.3411.7532.1312.6022.9473.7334.073161.3371.7462.1202.5832.9213.6864.015171.3331.7402.1102.5672.8983.6463.965181.3301.7342.1012.5522.8783.6103.922191.3281.7292.0932.5392.8613.5793.883201.3251.7252.0862.5282.8453.5523.850211.3231.7212.0802.5182.8313.5273.819221.3211.7172.0742.5082.8193.5053.792231.3191.7142.0692.5002.8073.4853.768241.3181.7112.0642.4922.7973.4673.745251.3161.7082.0602.4852.7873.4503.725261.3151.7062.0562.4792.7793.4353.707271.3141.7032.0522.4732.7713.4213.690281.3131.7012.0482.4672.7633.4083.674291.3111.6992.0452.4622.7563.3963.659301.3101.6972.0422.4572.7503.3853.646311.3091.6962.0402.4532.7443.3753.633321.3091.6942.0372.4492.7383.3653.622331.3081.6922.0352.4452.7333.3563.611341.3071.6912.0322.4412.7283.3483.601351.3061.6902.0302.4382.7243.3403.591361.3061.6882.0282.4342.7193.3333.582371.3051.6872.0262.4312.7153.3263.574381.3041.6862.0242.4292.7123.3193.566391.3041.6852.0232.4262.7083.3133.558401.3031.6842.0212.4232.7043.3073.551411.3031.6832.0202.4212.7013.3013.544421.3021.6822.0182.4182.6983.2963.538431.3021.6812.0172.4162.6953.2913.532441.3011.6802.0152.4142.6923.2863.526451.3011.6792.0142.4122.6903.2813.520461.3001.6792.0132.4102.6873.2773.515471.3001.6782.0122.4082.6853.2733.510481.2991.6772.0112.4072.6823.2693.505491.2991.6772.0102.4052.6803.2653.500501.2991.6762.0092.4032.6783.2613.496511.2981.6752.0082.4022.6763.2583.492521.2981.6752.0072.4002.6743.2553.488531.2981.6742.0062.3992.6723.2513.484541.2971.6742.0052.3972.6703.2483.480551.2971.6732.0042.3962.6683.2453.476561.2971.6732.0032.3952.6673.2423.473571.2971.6722.0022.3942.6653.2393.470581.2961.6722.0022.3922.6633.2373.466591.2961.6712.0012.3912.6623.2343.463601.2961.6712.0002.3902.6603.2323.460611.2961.6702.0002.3892.6593.2293.457621.2951.6701.9992.3882.6573.2273.454631.2951.6691.9982.3872.6563.2253.452641.2951.6691.9982.3862.6553.2233.449651.2951.6691.9972.3852.6543.2203.447661.2951.6681.9972.3842.6523.2183.444671.2941.6681.9962.3832.6513.2163.442681.2941.6681.9952.3822.6503.2143.439691.2941.6671.9952.3822.6493.2133.437701.2941.6671.9942.3812.6483.2113.435711.2941.6671.9942.3802.6473.2093.433721.2931.6661.9932.3792.6463.2073.431731.2931.6661.9932.3792.6453.2063.429741.2931.6661.9932.3782.6443.2043.427751.2931.6651.9922.3772.6433.2023.425761.2931.6651.9922.3762.6423.2013.423771.2931.6651.9912.3762.6413.1993.421781.2921.6651.9912.3752.6403.1983.420791.2921.6641.9902.3742.6403.1973.418801.2921.6641.9902.3742.6393.1953.416811.2921.6641.9902.3732.6383.1943.415821.2921.6641.9892.3732.6373.1933.413831.2921.6631.9892.3722.6363.1913.412841.2921.6631.9892.3722.6363.1903.410851.2921.6631.9882.3712.6353.1893.409861.2911.6631.9882.3702.6343.1883.407871.2911.6631.9882.3702.6343.1873.406881.2911.6621.9872.3692.6333.1853.405891.2911.6621.9872.3692.6323.1843.403901.2911.6621.9872.3682.6323.1833.402911.2911.6621.9862.3682.6313.1823.401921.2911.6621.9862.3682.6303.1813.399931.2911.6611.9862.3672.6303.1803.398941.2911.6611.9862.3672.6293.1793.397951.2911.6611.9852.3662.6293.1783.396961.2901.6611.9852.3662.6283.1773.395971.2901.6611.9852.3652.6273.1763.394981.2901.6611.9842.3652.6273.1753.393991.2901.6601.9842.3652.6263.1753.3921001.2901.6601.9842.3642.6263.1743.3901201.2891.6581.9802.3582.6173.1603.373∞1.2821.6451.9602.3262.5763.0903.291t分布表

统计学附录_F分布,t分布临界值表_全

统计学附录F—分布临界值表

——α（0.005―0.10）

α=0.005

Fα

k1

k2 1 2 3 4 5 6 8 12 24 ∞

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25 16211

198.5

55.55

31.33

22.78

18.63

16.24

14.69

13.61

12.83

12.23

11.75

11.37

11.06

10.80

10.58

10.38

10.22

10.07

9.94

9.83

9.73

9.63

9.55

9.48 20000

199.0

49.80

26.28

18.31

14.45

12.40

11.04

10.11

9.43

8.91

8.51

8.19

7.92

7.70

7.51

7.35

7.21

7.09

6.99

6.89

6.81

6.73

6.66

6.60 21615

199.2

47.47

24.26

16.53

12.92

10.88

9.60

8.72

8.08

7.60

7.23

6.93

6.68

6.48

6.30

6.16

6.03

5.92

5.82

5.73

5.65

5.58

5.52

5.46 22500

199.2

46.19

23.15

15.56

12.03

10.05

8.81

7.96

7.34

6.88

6.52

6.23

6.00

5.80

5.64

5.50

5.37

5.27

5.17

5.09

5.02

4.95

4.89

4.84 23056

199.3

45.39

22.46

14.94

11.46

9.52

8.30

7.47

6.87

6.42

6.07

5.79

5.56

5.37

5.21

5.07

4.96

4.85

4.76

4.68

4.61

4.54

4.49

4.43 23437