t分布表
。
-可编辑修改- 附表4 t分布表
)}()({ntntP
n
α=0.25 α=0.10 α=0.05 α=0.025 α=0.01 α=0.005
1 1.0000 3.0777 6.3138 12.7062 31.8207 63.6574
2 0.8165 1.8856 2.9200 4.3027 6.9646 9.9248
3 0.7649 1.6377 2.3534 3.1824 4.5407 5.8409
4 0.7407 1.5332 2.1318 2.7764 3.7469 4.6041
5 0.7267 1.4759 2.0150 2.5706 3.3649 4.0322
6 0.7176 1.4398 1.9432 2.4469 3.1427 3.7074
7 0.7111 1.4149 1.8946 2.3646 2.9980 3.4995
8 0.7064 1.3968 1.8595 2.3060 2.8965 3.3554
9 0.7027 1.3830 1.8331 2.2622 2.8214 3.2498
10 0.6998 1.3722 1.8125 2.2281 2.7638 3.1693 。
-可编辑修改-
11 0.6974 1.3634 1.7959 2.2010 2.7181 3.1058
12 0.6955 1.3562 1.7823 2.1788 2.6810 3.0545
13 0.6938 1.3502 1.7709 2.1604 2.6503 3.0123
14 0.6924 1.3450 1.7613 2.1448 2.6245 2.9768
15 0.6912 1.3406 1.7531 2.1315 2.6025 2.9467
16 0.6901 1.3368 1.7459 2.1199 2.5835 2.9208
17 0.6892 1.3334 1.7396 2.1098 2.5669 2.8982
18 0.6884 1.3304 1.7341 2.1009 2.5524 2.8784
19 0.6876 1.3277 1.7291 2.0930 2.5395 2.8609
20 0.6870 1.3253 1.7247 2.0860 2.5280 2.8453
。
-可编辑修改- n α=0.25 α=0.10 α=0.05 α=0.025 α=0.01 α=0.005
21 0.6864 1.3232 1.7207 2.0796 2.5177 2.8314
22 0.6858 1.3212 1.7171 2.0739 2.5083 2.8188
23 0.6853 1.3195 1.7139 2.0687 2.4999 2.8073
24 0.6848 1.3178 1.7109 2.0639 2.4922 2.7969
25 0.6844 1.3163 1.7081 2.0595 2.4851 2.7874
26 0.6840 1.3150 1.7058 2.0555 2.4786 2.7787
27 0.6837 1.3137 1.7033 2.0518 2.4727 2.7707
28 0.6834 1.3125 1.7011 2.0484 2.4671 2.7633
29 0.6830 1.3114 1.6991 2.0452 2.4620 2.7564
30 0.6828 1.3104 1.6973 2.0423 2.4573 2.7500
31 0.6825 1.3095 1.6955 2.0395 2.4528 2.7440
32 0.6822 1.3086 1.6939 2.0369 2.4487 2.7385
33 0.6820 1.3077 1.6924 2.0345 2.4448 2.7333
34 0.6818 1.3070 1.6909 2.0322 2.4411 2.7284
35 0.6816 1.3062 1.6896 2.0301 2.4377 2.7238
36 0.6814 1.3055 1.6883 2.0281 2.4345 2.7195
37 0.6812 1.3049 1.6871 2.0262 2.4314 2.7154 。
-可编辑修改- 38 0.6810 1.3042 1.6860 2.0244 2.4286 2.7116
39 0.6808 1.3036 1.6849 2.0227 2.4258 2.7079
40 0.6807 1.3031 1.6839 2.0211 2.4233 2.7045
41 0.6805 1.3025 1.6829 2.0195 2.4208 2.7012
42 0.6804 1.3020 1.6820 2.0181 2.4185 2.6981
43 0.6802 1.3016 1.6811 2.0167 2.4163 2.6951
44 0.6801 1.3011 1.6802 2.0154 2.4141 2.6923
45 0.6800 1.3006 1.6794 2.0141 2.4121 2.6806
。
-可编辑修改-
THANKS !!!
致力为企业和个人提供合同协议，策划案计划书，学习课件等等
打造全网一站式需求
欢迎您的下载，资料仅供参考
T分布表
dfT分布表(单侧)40%30%20%10%5%2.5%1%0.5%0.05%(双侧)80%60%40%20%10%5%2%1%0.1%10.3250.7271.3763.0786.31412.70631.82163.657636.61920.2890.6171.0611.8862.9204.3036.9659.92531.59930.2770.5840.9781.6382.3533.1824.5415.84112.92440.2710.5690.9411.5332.1322.7763.7474.6048.61050.2670.5590.9201.4762.0152.5713.3654.0326.86960.2650.5530.9061.4401.9432.4473.1433.7075.95970.2630.5490.8961.4151.8952.3652.9983.4995.40880.2620.5460.8891.3971.8602.3062.8963.3555.04190.2610.5430.8831.3831.8332.2622.8213.2504.781100.2600.5420.8791.3721.8122.2282.7643.1694.587110.2600.5400.8761.3631.7962.2012.7183.1064.437120.2590.5390.8731.3561.7822.1792.6813.0554.318130.2590.5380.8701.3501.7712.1602.6503.0124.221140.2580.5370.8681.3451.7612.1452.6242.9774.140150.2580.5360.8661.3411.7532.1312.6022.9474.073160.2580.5350.8651.3371.7462.1202.5832.9214.015170.2570.5340.8631.3331.7402.1102.5672.8983.965180.2570.5340.8621.3301.7342.1012.5522.8783.922190.2570.5330.8611.3281.7292.0932.5392.8613.883200.2570.5330.8601.3251.7252.0862.5282.8453.850210.2570.5320.8591.3231.7212.0802.5182.8313.819220.2560.5320.8581.3211.7172.0742.5082.8193.792230.2560.5320.8581.3191.7142.0692.5002.8073.768240.2560.5310.8571.3181.7112.0642.4922.7973.745250.2560.5310.8561.3161.7082.0602.4852.7873.725260.2560.5310.8561.3151.7062.0562.4792.7793.707270.2560.5310.8551.3141.7032.0522.4732.7713.690280.2560.5300.8551.3131.7012.0482.4672.7633.674290.2560.5300.8541.3111.6992.0452.4622.7563.659300.2560.5300.8541.3101.6972.0422.4572.7503.646400.2550.5290.8511.3031.6842.0212.4232.7043.551500.2550.5280.8491.2991.6762.0092.4032.6783.496600.2540.5270.8481.2961.6712.0002.3902.6603.460700.2540.5270.8471.2941.6671.9942.3812.6483.435800.2540.5260.8461.2921.6641.9902.3742.6393.416900.2540.5260.8461.2911.6621.9872.3682.6323.4021000.2540.5260.8451.2901.6601.9842.3642.6263.3901100.2540.5260.8451.2891.6591.9822.3612.6213.3811200.2540.5260.8451.2891.6581.9802.3582.6173.373∞0.2530.5240.8421.2821.6451.9602.3262.5763.291
统计学分布表(T分布,F分布,卡方分布,正态分布)
标准正态分布表0.00.000.010.020.030.040.050.060.070.080.090.10.50000.49600.49200.48800.48400.48010.47610.47210.46810.46410.20.46020.45620.45220.44830.44430.44040.43640.43250.42860.42470.30.42070.41680.41290.40900.40520.40130.39740.39360.38970.38590.40.38210.37830.37450.37070.36690.36320.35940.35570.35200.34830.50.34460.34090.33720.33360.33000.32640.32280.31920.31560.31210.60.30850.30500.30150.29810.29460.29120.28770.28430.28100.27760.70.27430.27090.26760.26430.26110.25780.25460.25140.24830.24510.80.24200.23890.23580.23270.22960.22660.22360.22060.21770.21480.90.21190.20900.20610.20330.20050.19770.19490.19220.18940.18671.00.18410.18140.17880.17620.17360.17110.16850.16600.16350.16111.10.15870.15620.15390.15150.14920.14690.14460.14230.14010.13791.20.13570.13350.13140.12920.12710.12510.12300.12100.11900.11701.30.11510.11310.11120.10930.10750.10560.10380.10200.10030.09851.40.09680.09510.09340.09180.09010.08850.08690.08530.08380.08231.50.08080.07930.07780.07640.07490.07350.07210.07080.06940.06811.60.06680.06550.06430.06300.06180.06060.05940.05820.05710.05591.70.05480.05370.05260.05160.05050.04950.04850.04750.04650.04551.80.04460.04360.04270.04180.04090.04010.03920.03840.03750.03671.90.03590.03510.03440.03360.03290.03220.03140.03070.03010.02942.00.02870.02810.02740.02680.02620.02560.02500.02440.02390.02332.10.02280.02220.02170.02120.02070.02020.01970.01920.01880.01832.20.01790.01740.01700.01660.01620.01580.01540.01500.01460.01432.30.01390.01360.01320.01290.01250.01220.01190.01160.01130.01102.40.01070.01040.01020.00990.00960.00940.00910.00890.00870.00842.50.00820.00800.00780.00750.00730.00710.00690.00680.00660.00642.60.00620.00600.00590.00570.00550.00540.00520.00510.00490.00482.70.00470.00450.00440.00430.00410.00400.00390.00380.00370.00362.83.47E-033.36E-033.26E-033.17E-033.07E-032.98E-032.89E-032.80E-032.72E-032.64E-032.92.56E-032.48E-032.40E-032.33E-032.26E-032.19E-032.12E-032.05E-031.99E-031.93E-033.01.87E-031.81E-031.75E-031.69E-031.64E-031.59E-031.54E-031.49E-031.44E-031.39E-033.11.35E-031.31E-031.26E-031.22E-031.18E-031.14E-031.11E-031.07E-031.04E-031.00E-033.29.68E-049.35E-049.04E-048.74E-048.45E-048.16E-047.89E-047.62E-047.36E-047.11E-043.36.87E-046.64E-046.41E-046.19E-045.98E-045.77E-045.57E-045.38E-045.19E-045.01E-043.44.83E-044.66E-044.50E-044.34E-044.19E-044.04E-043.90E-043.76E-043.62E-043.49E-043.53.37E-043.25E-043.13E-043.02E-042.91E-042.80E-042.70E-042.60E-042.51E-042.42E-043.62.33E-042.24E-042.16E-042.08E-042.00E-041.93E-041.85E-041.78E-041.72E-041.65E-043.71.59E-041.53E-041.47E-041.42E-041.36E-041.31E-041.26E-041.21E-041.17E-041.12E-043.81.08E-041.04E-049.96E-059.57E-059.20E-058.84E-058.50E-058.16E-057.84E-057.53E-053.97.23E-056.95E-056.67E-056.41E-056.15E-055.91E-055.67E-055.44E-055.22E-055.01E-054.04.81E-054.61E-054.43E-054.25E-054.07E-053.91E-053.75E-053.59E-053.45E-053.30E-054.13.17E-053.04E-052.91E-052.79E-052.67E-052.56E-052.45E-052.35E-052.25E-052.16E-054.22.07E-051.98E-051.89E-051.81E-051.74E-051.66E-051.59E-051.52E-051.46E-051.39E-054.31.33E-051.28E-051.22E-051.17E-051.12E-051.07E-051.02E-059.77E-069.34E-068.93E-064.48.54E-068.16E-067.80E-067.46E-067.12E-066.81E-066.50E-066.21E-065.93E-065.67E-064.55.41E-065.17E-064.94E-064.71E-064.50E-064.29E-064.10E-063.91E-063.73E-063.56E-064.63.40E-063.24E-063.09E-062.95E-062.81E-062.68E-062.56E-062.44E-062.32E-062.22E-064.72.11E-062.01E-061.92E-061.83E-061.74E-061.66E-061.58E-061.51E-061.43E-061.37E-064.81.30E-061.24E-061.18E-061.12E-061.07E-061.02E-069.68E-079.21E-078.76E-078.34E-074.97.93E-077.55E-077.18E-076.83E-076.49E-076.17E-075.87E-075.58E-075.30E-075.04E-07
t分布表
附表4 t分布表
)}()({ntntP
n
α=0.25 α=0.10 α=0.05 α=0.025 α=0.01 α=0.005
1 1.0000 3.0777 6.3138 12.7062 31.8207 63.6574
2 0.8165 1.8856 2.9200 4.3027 6.9646 9.9248
3 0.7649 1.6377 2.3534 3.1824 4.5407 5.8409
4 0.7407 1.5332 2.1318 2.7764 3.7469 4.6041
5 0.7267 1.4759 2.0150 2.5706 3.3649 4.0322
6 0.7176 1.4398 1.9432 2.4469 3.1427 3.7074
7 0.7111 1.4149 1.8946 2.3646 2.9980 3.4995
8 0.7064 1.3968 1.8595 2.3060 2.8965 3.3554
9 0.7027 1.3830 1.8331 2.2622 2.8214 3.2498
10 0.6998 1.3722 1.8125 2.2281 2.7638 3.1693
11 0.6974 1.3634 1.7959 2.2010 2.7181 3.1058
12 0.6955 1.3562 1.7823 2.1788 2.6810 3.0545
13 0.6938 1.3502 1.7709 2.1604 2.6503 3.0123
14 0.6924 1.3450 1.7613 2.1448 2.6245 2.9768
15 0.6912 1.3406 1.7531 2.1315 2.6025 2.9467
16 0.6901 1.3368 1.7459 2.1199 2.5835 2.9208
正态分布,卡方分布,T分布
1。设X1服从以自由度为m的卡方分布，X2服从以自由度为n的卡方分布，X1与X2独立，则F=（X1/m）/（X2/n）的分布就是自由度为m与n的F分布
2。设随机变量X1，X2独立且X1服从标准正态分布，X2服从以自由度为n的卡方分布，则t=X1/根号（X2/n）的分布就是自由度为n的t分布、
卡方分布主要是主要是列联分析，F分布主要是方差分析，T分布主要是小样本分析。
在实际工作中，抽取足够多的样本容量进行调查意味着人力、物力和财力的增加，尤其对一些具有破坏性的试验来说也不宜抽取太多的样本容量。也就是说，对于大样本进行观察受到某些条件的限制。这里主要讨论t分布、>2分布和F分布。
一、 t-分布
关于t 分布的早期理论工作，是英国统计学家威廉?西利?戈塞特（WillamSealy Gosset）在1900年进行的。
t分布是小样本分布，小样本分布一般是指n<30。t分布适用于当总体标准差R未知时用样本标准差s代替总体标准差R，由样本平均数推断总体平均数以及2个小样本之间差异的显著性检验等。
从平均值为L、方差为R2的正态总体中抽取容量为n的一个样本，其样本平均数 服从平均值为L，方差为R2 /n的正态分布，因此，
。但是总体方差R2总是未知的，从而只能用s2来代替， （1）如果n很大，那么，s2就是R2的一个较好的估计量， 仍然是一个近似的标准正态分布；
（2）如果n较小， s2常常与R2的差异较大，因此，统计量就不再是一个标准正态分布，而是服从t分布。
（一）t分布的性质
1、t分布是对称分布，且其均值为0。
2、当样本容量n较小时，t分布的方差大于1； 当n增大到大于或等于30时，t分布的方差就趋近于1，t分布也就趋近于标准正态分布。
3、t分布是一个分布族，对于不同的样本容量都对应不同的分布，且其均值都为0。
4、与标准正态分布相比，t分布的中心部分较低，2个尾部较高。
统计学_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 16211
20000
21615
22500
23056
23437
23925
24426
24940
25465
14
15
16
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
9
10
4052
4999
5403
5625
5764
5859
5981
6106
6234
6366
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
数理统计 t分布表
中华人民共和国国家标准
ＵＤＣ３１１．１３（０８３．５）
统计分布数值表
ｔ分布
Ｔａｂｌｅｓ ｆｏｒ ｓｔａｔｉｓｔｉｃａｌ ｄｉｓｔｒｉｂｕｔｉｏｎｓ
ｔ－ｄｉｓｔｒｉｂｕｔｉｏｎＧＢ４０８６．３一８３
本标准包括统计学中常用的ｔ分布的两种数值表，它们的名称、表距和精度如下：
ｔ分布函数表ｖ二１（１ ）２０（ ２ ）３０（ ５ ） ５０， ６０ ６位小数
ｔ二０（０．１）４（０．２）５（０．５）７
ｔ分布分位数表ｐ＝ ０．５（０．０５）０．９５， ０．９７５， ０．９８， ０．９９， ０．９９５， ５位小数
０．９９７５， ０＿９９８， ０．９９９， ０．９９９５， ０．９９９８，０．９９９９
ｖ＝１（１ ）３０（ ２ ）４０（ ５ ）７０（１０）１２０， １５０， １８０， ２４０， ＋
表中的分位数对应于下侧概率。
虽然表Ｉ扫给出５－６位小数，但是在使用中需要取几位，要由实｛如门题决定。
在应用中不能满足要求时，可参考附录的处理方法。
国家标准局１９８３一１２一２１发布１９８４一１０ －－０１实施泊星石
ＧＢ ４０８６．３一８３
１ ｔ分布函数表
尸（‘；？，＝丁ｔＺ训一仁”＋１’
Ｂ （１ ／２， ｖ／２）（ｉｔ
０．５００００００．５３１７２６０．５６２８３３０．５９２７７４０．６２１１１９０．５００００００．５３６６７４０．５７２８６５０．６０８１１８０．６４２０３２０．５００００００．５３７４２２０．５７４３８１０．６１０４３９０．６４５２０１０．５００００００．５３７８８５０．５７５３２００．６１１８７５０．６４７１６３０．５００００００．５３８１９９０．５７５９５７０．６１２８５００．６４８４９６０．５００００００．５３８４２６０．５７６４１７０．６１３５５５０．６４９４５９０．５００００００．５３８５９８０．５７６７６５０．６１４０８８０．６５０１８８０．５００００００．５弓８７３２０．５７７０３７０．６１４５０５０．６５０７５８０．５０００００『０５７００１４０６０５７５７『Ｍ０１喊侧州
t分布临界值表全集文档
t分布临界值表全集文档
(可以直接使用，可编辑 实用优质文档，欢迎下载） 附 录
附表1：t分布临界值表2
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） 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
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
正态分布T_值表
P(2):0.50.20.10.050.020.010.005
P(1):0.250.10.050.0250.010.0050.0025
113.0786.31412.70631.82163.657127.321
20.8161.8862.924.3036.9659.92514.089
30.7651.6382.3533.1824.5415.8417.453
40.7411.5332.1322.7763.7474.6045.598
50.7271.4762.0152.5713.3654.0324.773
60.7181.441.9432.4473.1433.7074.317
70.7111.4151.8952.3652.9983.4994.029
80.7061.3971.862.3062.8963.3553.833
90.7031.3831.8332.2622.8213.253.69
100.71.3721.8122.2282.7643.1693.581
110.6971.3631.7962.2012.7183.1063.497
120.6951.3561.7822.1792.6813.0553.428
130.6941.351.7712.162.653.0123.372
140.6921.3451.7612.1452.6242.9773.326
150.6911.3411.7532.1312.6022.9473.286
160.691.3371.7462.122.5832.9213.252
170.6891.3331.742.112.5672.8983.222
180.6881.331.7342.1012.5522.8783.197
190.6881.3281.7292.0932.5392.8613.174
200.6871.3251.7252.0862.5282.8453.153
210.6861.3231.7212.082.5182.8313.135