Tabled Values are t Statistics for the Given Two-Tailed Probabilities and Degrees of Freedom
| dfERROR | .90 | .80 | .70 | .60 | .50 | .40 | .30 | .20 | .10 | .05 | .04 | .03 | .02 | .01 | .001 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2 | .142 | .289 | .445 | .617 | .816 | 1.06 | 1.386 | 1.886 | 2.920 | 4.303 | 4.849 | 5.643 | 6.965 | 9.925 | 31.599 |
| 3 | .137 | .277 | .424 | .584 | .765 | .978 | 1.250 | 1.638 | 2.353 | 3.182 | 3.482 | 3.896 | 4.541 | 5.841 | 12.924 |
| 4 | .134 | .271 | .414 | .569 | .741 | .941 | 1.190 | 1.533 | 2.132 | 2.776 | 2.999 | 3.298 | 3.747 | 4.604 | 8.610 |
| 5 | .132 | .267 | .408 | .559 | .727 | .920 | 1.156 | 1.476 | 2.015 | 2.571 | 2.757 | 3.003 | 3.365 | 4.032 | 6.869 |
| 6 | .131 | .265 | .404 | .553 | .718 | .906 | 1.134 | 1.440 | 1.943 | 2.447 | 2.612 | 2.829 | 3.143 | 3.707 | 5.959 |
| 7 | .130 | .263 | .402 | .549 | .711 | .896 | 1.119 | 1.415 | 1.895 | 2.365 | 2.517 | 2.715 | 2.998 | 3.499 | 5.408 |
| 8 | .130 | .262 | .399 | .546 | .706 | .889 | 1.108 | 1.397 | 1.860 | 2.306 | 2.449 | 2.634 | 2.896 | 3.355 | 5.041 |
| 9 | .129 | .261 | .398 | .543 | .703 | .883 | 1.100 | 1.383 | 1.833 | 2.262 | 2.398 | 2.574 | 2.821 | 3.250 | 4.781 |
| 10 | .129 | .260 | .397 | .542 | .700 | .879 | 1.093 | 1.372 | 1.812 | 2.228 | 2.359 | 2.527 | 2.764 | 3.169 | 4.587 |
| 11 | .129 | .260 | .396 | .540 | .697 | .876 | 1.088 | 1.363 | 1.796 | 2.201 | 2.328 | 2.491 | 2.718 | 3.106 | 4.437 |
| 12 | .128 | .259 | .395 | .539 | .695 | .873 | 1.083 | 1.356 | 1.782 | 2.179 | 2.303 | 2.461 | 2.681 | 3.055 | 4.318 |
| 13 | .128 | .259 | .394 | .538 | .694 | .870 | 1.079 | 1.350 | 1.771 | 2.160 | 2.282 | 2.436 | 2.650 | 3.012 | 4.221 |
| 14 | .128 | .258 | .393 | .537 | .692 | .868 | 1.076 | 1.345 | 1.761 | 2.145 | 2.264 | 2.415 | 2.624 | 2.977 | 4.140 |
| 15 | .128 | .258 | .393 | .536 | .691 | .866 | 1.074 | 1.341 | 1.753 | 2.131 | 2.249 | 2.397 | 2.602 | 2.947 | 4.073 |
| 16 | .128 | .258 | .392 | .535 | .690 | .865 | 1.071 | 1.337 | 1.746 | 2.120 | 2.235 | 2.382 | 2.583 | 2.921 | 4.015 |
| 17 | .128 | .257 | .392 | .534 | .689 | .863 | 1.069 | 1.333 | 1.740 | 2.110 | 2.224 | 2.368 | 2.567 | 2.898 | 3.965 |
| 18 | .127 | .257 | .392 | .534 | .688 | .862 | 1.067 | 1.330 | 1.734 | 2.101 | 2.214 | 2.356 | 2.552 | 2.878 | 3.922 |
| 19 | .127 | .257 | .391 | .533 | .688 | .861 | 1.066 | 1.328 | 1.729 | 2.093 | 2.205 | 2.346 | 2.539 | 2.861 | 3.883 |
| 20 | .127 | .257 | .391 | .533 | .687 | .860 | 1.064 | 1.325 | 1.725 | 2.086 | 2.197 | 2.336 | 2.528 | 2.845 | 3.850 |
| 21 | .127 | .257 | .391 | .532 | .686 | .859 | 1.063 | 1.323 | 1.721 | 2.080 | 2.189 | 2.328 | 2.518 | 2.831 | 3.819 |
| 22 | .127 | .256 | .390 | .532 | .686 | .858 | 1.061 | 1.321 | 1.717 | 2.074 | 2.183 | 2.320 | 2.508 | 2.819 | 3.792 |
| 23 | .127 | .256 | .390 | .532 | .685 | .858 | 1.060 | 1.319 | 1.714 | 2.069 | 2.177 | 2.313 | 2.500 | 2.807 | 3.768 |
| 24 | .127 | .256 | .390 | .531 | .685 | .857 | 1.059 | 1.318 | 1.711 | 2.064 | 2.172 | 2.307 | 2.492 | 2.797 | 3.745 |
| 25 | .127 | .256 | .390 | .531 | .684 | .856 | 1.058 | 1.316 | 1.708 | 2.060 | 2.167 | 2.301 | 2.485 | 2.787 | 3.725 |
| 26 | .127 | .256 | .390 | .531 | .684 | .856 | 1.058 | 1.315 | 1.706 | 2.056 | 2.162 | 2.296 | 2.479 | 2.779 | 3.707 |
| 27 | .127 | .256 | .389 | .531 | .684 | .855 | 1.057 | 1.314 | 1.703 | 2.052 | 2.158 | 2.291 | 2.473 | 2.771 | 3.690 |
| 28 | .127 | .256 | .389 | .530 | .683 | .855 | 1.056 | 1.313 | 1.701 | 2.048 | 2.154 | 2.286 | 2.467 | 2.763 | 3.674 |
| 29 | .127 | .256 | .389 | .530 | .683 | .854 | 1.055 | 1.311 | 1.699 | 2.045 | 2.150 | 2.282 | 2.462 | 2.756 | 3.659 |
| 30 | .127 | .256 | .389 | .530 | .683 | .854 | 1.055 | 1.310 | 1.697 | 2.042 | 2.147 | 2.278 | 2.457 | 2.750 | 3.646 |
| 35 | .127 | .255 | .388 | .529 | .682 | .852 | 1.052 | 1.306 | 1.690 | 2.030 | 2.133 | 2.262 | 2.438 | 2.724 | 3.591 |
| 40 | .126 | .255 | .388 | .529 | .681 | .851 | 1.050 | 1.303 | 1.684 | 2.021 | 2.123 | 2.250 | 2.423 | 2.704 | 3.551 |
| 45 | .126 | .255 | .388 | .528 | .680 | .850 | 1.049 | 1.301 | 1.679 | 2.014 | 2.115 | 2.241 | 2.412 | 2.690 | 3.520 |
| 50 | .126 | .255 | .388 | .528 | .679 | .849 | 1.047 | 1.299 | 1.676 | 2.009 | 2.109 | 2.234 | 2.403 | 2.678 | 3.496 |
| 55 | .126 | .255 | .387 | .527 | .679 | .848 | 1.046 | 1.297 | 1.673 | 2.004 | 2.104 | 2.228 | 2.396 | 2.668 | 3.476 |
| 60 | .126 | .254 | .387 | .527 | .679 | .848 | 1.045 | 1.296 | 1.671 | 2.000 | 2.099 | 2.223 | 2.390 | 2.660 | 3.460 |
| 70 | .126 | .254 | .387 | .527 | .678 | .847 | 1.044 | 1.294 | 1.667 | 1.994 | 2.093 | 2.215 | 2.381 | 2.648 | 3.435 |
| 80 | .126 | .254 | .387 | .526 | .678 | .846 | 1.043 | 1.292 | 1.664 | 1.990 | 2.088 | 2.209 | 2.374 | 2.639 | 3.416 |
| 90 | .126 | .254 | .387 | .526 | .677 | .846 | 1.042 | 1.291 | 1.662 | 1.987 | 2.084 | 2.205 | 2.368 | 2.632 | 3.402 |
| 100 | .126 | .254 | .386 | .526 | .677 | .845 | 1.042 | 1.290 | 1.660 | 1.984 | 2.081 | 2.201 | 2.364 | 2.626 | 3.390 |
| 120 | .126 | .254 | .386 | .526 | .677 | .845 | 1.041 | 1.289 | 1.658 | 1.980 | 2.076 | 2.196 | 2.358 | 2.617 | 3.373 |
| 240 | .126 | .254 | .386 | .525 | .676 | .843 | 1.039 | 1.285 | 1.651 | 1.970 | 2.065 | 2.183 | 2.342 | 2.596 | 3.332 |
| ∞ | .126 | .253 | .385 | .524 | .674 | .842 | 1.036 | 1.282 | 1.645 | 1.960 | 2.054 | 2.170 | 2.326 | 2.576 | 3.291 |