t distribution table

The t distribution table values are critical values of the t distribution. The column header are the t distribution probabilities (alpha). The row names are the degrees of freedom (df).

Student t table gives the probability that the absolute t value with a given degrees of freedom lies above the tabulated value.



Example : with df = 10, for t=2.228, the probability is alpha=0.05


df/α 0.9 0.5 0.3 0.2 0.1 0.05 0.02 0.01 0.001
1 0.158 1 2 3.078 6.314 12.706 31.821 64 637
2 0.142 0.816 1.386 1.886 2.92 4.303 6.965 10 31.598
3 0.137 0.765 1.25 1.638 2.353 3.182 4.541 5.841 12.929
4 0.134 0.741 1.19 1.533 2.132 2.776 3.747 4.604 8.61
5 0.132 0.727 1.156 1.476 2.015 2.571 3.365 4.032 6.869
6 0.131 0.718 1.134 1.44 1.943 2.447 3.143 3.707 5.959
7 0.13 0.711 1.119 1.415 1.895 2.365 2.998 3.499 5.408
8 0.13 0.706 1.108 1.397 1.86 2.306 2.896 3.355 5.041
9 0.129 0.703 1.1 1.383 1.833 2.263 2.821 3.25 4.781
10 0.129 0.7 1.093 1.372 1.812 2.228 2.764 3.169 4.587
11 0.129 0.697 1.088 1.363 1.796 2.201 2.718 3.106 4.437
12 0.128 0.695 1.083 1.356 1.782 2.179 2.681 3.055 4.318
13 0.128 0.694 1.079 1.35 1.771 2.16 2.65 3.012 4.221
14 0.128 0.692 1.076 1.345 1.761 2.145 2.624 2.977 4.14
15 0.128 0.691 1.074 1.341 1.753 2.131 2.602 2.947 4.073
16 0.128 0.69 1.071 1.337 1.746 2.12 2.583 2.921 4.015
17 0.128 0.689 1.069 1.333 1.74 2.11 2.567 2.898 3.965
18 0.127 0.688 1.067 1.33 1.734 2.101 2.552 2.878 3.922
19 0.127 688 1.066 1.328 1.729 2.093 2.539 2.861 3.883
20 0.127 0.687 1.064 1.325 1.725 2.086 2.528 2.845 3.85
21 0.127 0.686 1.063 1.323 1.721 2.08 2.518 2.831 3.819
22 0.127 0.686 1.061 1.321 1.717 2.074 2.508 2.819 3.792
23 0.127 0.685 1.06 1.319 1.714 2.069 2.5 2.807 3.767
24 0.127 0.685 1.059 1.318 1.711 2.064 2.492 2.797 3.745
25 0.127 0.684 1.058 1.316 1.708 2.06 2.485 2.787 3.725
26 0.127 0.684 1.058 1.315 1.706 2.056 2.479 2.779 3.707
27 0.137 0.684 1.057 1.314 1.703 2.052 2.473 2.771 3.69
28 0.127 0.683 1.056 1.313 1.701 2.048 2.467 2.763 3.674
29 0.127 0.683 1.055 1.311 1.699 2.045 2.462 2.756 3.649
30 0.127 0.683 1.055 1.31 1.697 2.042 2.457 2.75 3.656
40 0.126 0.681 1.05 1.303 1.684 2.021 2.423 2.704 3.551
80 0.126 0.679 1.046 1.296 1.671 2 2.39 2.66 3.46
120 0.126 0.677 1.041 1.289 1.658 1.98 2.358 2.617 3.373
Infini 0.126 0.674 1.036 1.282 1.645 1.96 2.326 2.576 3.291


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