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  • t分布及t分布表

    http://baike.baidu.com/view/1419652.htm
     
    下表列出了自由度为1-30以及80、100、120等t-分布的单侧和双侧区间值。例如,当样本数量n=5时,则自由度v=4,我们就可以查找表中以4开头的行。该行第5列值为2.132,对应的单侧值为95%(双侧值为90%)。这也就是说,T小于2.132的概率为95%(即单侧),记为Pr(−∞ < T < 2.132) = 0.95;同时,T值介于-2.132和2.132之间的概率为90%(即双侧),记为Pr(−2.132 < T < 2.132) = 0.9。
    这是根据分布的对称性计算得到的,
    • Pr(T < −2.132) = 1 − Pr(T > −2.132) = 1 − 0.95 = 0.05,
    因此,
    • Pr(−2.132 < T < 2.132) = 1 − 2(0.05) = 0.9.
    注意 关于表格的最后一行的值:自由度为无限大(n=120)的t-分布和正态分布等价
    单侧
    75%
    80%
    85%
    90%
    95%
    97.5%
    99%
    99.5%
    99.75%
    99.9%
    99.95%
    双侧
    50%
    60%
    70%
    80%
    90%
    95%
    98%
    99%
    99.5%
    99.8%
    99.9%
    1
    1.000
    1.376
    1.963
    3.078
    6.314
    12.71
    31.82
    63.66
    127.3
    318.3
    636.6
    2
    0.816
    1.061
    1.386
    1.886
    2.920
    4.303
    6.965
    9.925
    14.09
    22.33
    31.60
    3
    0.765
    0.978
    1.250
    1.638
    2.353
    3.182
    4.541
    5.841
    7.453
    10.21
    12.92
    4
    0.741
    0.941
    1.190
    1.533
    2.132
    2.776
    3.747
    4.604
    5.598
    7.173
    8.610
    5
    0.727
    0.920
    1.156
    1.476
    2.015
    2.571
    3.365
    4.032
    4.773
    5.893
    6.869
    6
    0.718
    0.906
    1.134
    1.440
    1.943
    2.447
    3.143
    3.707
    4.317
    5.208
    5.959
    7
    0.711
    0.896
    1.119
    1.415
    1.895
    2.365
    2.998
    3.499
    4.029
    4.785
    5.408
    8
    0.706
    0.889
    1.108
    1.397
    1.860
    2.306
    2.896
    3.355
    3.833
    4.501
    5.041
    9
    0.703
    0.883
    1.100
    1.383
    1.833
    2.262
    2.821
    3.250
    3.690
    4.297
    4.781
    10
    0.700
    0.879
    1.093
    1.372
    1.812
    2.228
    2.764
    3.169
    3.581
    4.144
    4.587
    11
    0.697
    0.876
    1.088
    1.363
    1.796
    2.201
    2.718
    3.106
    3.497
    4.025
    4.437
    12
    0.695
    0.873
    1.083
    1.356
    1.782
    2.179
    2.681
    3.055
    3.428
    3.930
    4.318
    13
    0.694
    0.870
    1.079
    1.350
    1.771
    2.160
    2.650
    3.012
    3.372
    3.852
    4.221
    14
    0.692
    0.868
    1.076
    1.345
    1.761
    2.145
    2.624
    2.977
    3.326
    3.787
    4.140
    15
    0.691
    0.866
    1.074
    1.341
    1.753
    2.131
    2.602
    2.947
    3.286
    3.733
    4.073
    16
    0.690
    0.865
    1.071
    1.337
    1.746
    2.120
    2.583
    2.921
    3.252
    3.686
    4.015
    17
    0.689
    0.863
    1.069
    1.333
    1.740
    2.110
    2.567
    2.898
    3.222
    3.646
    3.965
    18
    0.688
    0.862
    1.067
    1.330
    1.734
    2.101
    2.552
    2.878
    3.197
    3.610
    3.922
    19
    0.688
    0.861
    1.066
    1.328
    1.729
    2.093
    2.539
    2.861
    3.174
    3.579
    3.883
    20
    0.687
    0.860
    1.064
    1.325
    1.725
    2.086
    2.528
    2.845
    3.153
    3.552
    3.850
    21
    0.686
    0.859
    1.063
    1.323
    1.721
    2.080
    2.518
    2.831
    3.135
    3.527
    3.819
    22
    0.686
    0.858
    1.061
    1.321
    1.717
    2.074
    2.508
    2.819
    3.119
    3.505
    3.792
    23
    0.685
    0.858
    1.060
    1.319
    1.714
    2.069
    2.500
    2.807
    3.104
    3.485
    3.767
    24
    0.685
    0.857
    1.059
    1.318
    1.711
    2.064
    2.492
    2.797
    3.091
    3.467
    3.745
    25
    0.684
    0.856
    1.058
    1.316
    1.708
    2.060
    2.485
    2.787
    3.078
    3.450
    3.725
    26
    0.684
    0.856
    1.058
    1.315
    1.706
    2.056
    2.479
    2.779
    3.067
    3.435
    3.707
    27
    0.684
    0.855
    1.057
    1.314
    1.703
    2.052
    2.473
    2.771
    3.057
    3.421
    3.690
    28
    0.683
    0.855
    1.056
    1.313
    1.701
    2.048
    2.467
    2.763
    3.047
    3.408
    3.674
    29
    0.683
    0.854
    1.055
    1.311
    1.699
    2.045
    2.462
    2.756
    3.038
    3.396
    3.659
    30
    0.683
    0.854
    1.055
    1.310
    1.697
    2.042
    2.457
    2.750
    3.030
    3.385
    3.646
    40
    0.681
    0.851
    1.050
    1.303
    1.684
    2.021
    2.423
    2.704
    2.971
    3.307
    3.551
    50
    0.679
    0.849
    1.047
    1.299
    1.676
    2.009
    2.403
    2.678
    2.937
    3.261
    3.496
    60
    0.679
    0.848
    1.045
    1.296
    1.671
    2.000
    2.390
    2.660
    2.915
    3.232
    3.460
    80
    0.678
    0.846
    1.043
    1.292
    1.664
    1.990
    2.374
    2.639
    2.887
    3.195
    3.416
    100
    0.677
    0.845
    1.042
    1.290
    1.660
    1.984
    2.364
    2.626
    2.871
    3.174
    3.390
    120
    0.677
    0.845
    1.041
    1.289
    1.658
    1.980
    2.358
    2.617
    2.860
    3.160
    3.373
     
    0.674
    0.842
    1.036
    1.282
    1.645
    1.960
    2.326
    2.576
    2.807
    3.090
    3.291
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  • 原文地址:https://www.cnblogs.com/wxdlut/p/4539008.html
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