t检验临界值分布表

0.05 0.025 12.706 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.16 2.145 2.131 2.12 2.11 2.101 2.093 2.086 2.08 2.074 2.069 2.064 2.06 2.056 2.052 2.048 2.045 2.042 2.04 2.037 2.035 2.032 2.03 2.028 2.026 2.024 2.023 2.021 2.009 2 1.994 1.99 1.987 1.984 1.972 1.965 1.962
6 19.33 8.94 6.16 4.95 4.28 3.87 3.58 3.37 3.22 2.1
7 19.36 8.88 6.09 4.88 4.21 3.79 3.5 3.29 3.14 2.01
8 19.37 8.84 6.04 4.82 4.51 3.73 3.44 3.23 3.07 1.94
0.2 0.1 3.078 1.886 1.638 1.533 1.476 1.44 1.415 1.397 1.383 1.372 1.363 1.356 1.35 1.345 1.341 1.337 1.333 1.33 1.328 1.325 1.323 1.321 1.319 1.318 1.316 1.315 1.314 1.313 1.311 1.31 1.309 1.309 1.308 1.307 1.306 1.306 1.305 1.304 1.304 1.303 1.299 1.296 1.294 1.292 1.291 1.29 1.286 1.283 1.282
n’ 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 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 50 60 70 80 90 100 200 500 1000
P(2):双侧 P(1):单侧
0.02 0.01 31.821 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.65 2.624 2.602 2.583 2.567 2.552 2.539 2.528 2.518 2.508 2.5 2.492 2.485 2.479 2.473 2.467 2.462 2.457 2.453 2.449 2.445 2.441 2.438 2.434 2.431 2.429 2.426 2.423 2.403 2.39 2.381 2.374 2.368 2.364 2.345 2.334 2.33
0.002 0.001 318.309 22.327 10.215 7.173 5.893 5.208 4.785 4.501 4.297 4.144 4.025 3.93 3.852 3.787 3.733 3.686 3.646 3.61 3.579 3.552 3.527 3.505 3.485 3.467 3.45 3.435 3.421 3.408 3.396 3.385 3.375 3.365 3.356 3.348 3.34 3.333 3.326 3.319 3.313 3.307 3.261 3.232 3.211 3.195 3.183 3.174 3.131 3.107 3.098
0.005 0.0025 127.321 14.089 7.453 5.598 4.773 4.317 4.029 3.833 3.69 3.581 3.497 3.428 3.372 3.326 3.286 3.252 3.222 3.197 3.174 3.153 3.135 3.119 3.104 3.091 3.078 3.067 3.057 3.047 3.038 3.03 3.022 3.015 3.008 3.002 2.996 2.99 2.985 2.98 2.976 2.971 2.937 2.915 2.899 2.887 2.878 2.871 2.839 2.82 2.813
0.1 0.05 6.314 2.92 2.353 2.132 2.015 1.943 1.895 1.86 1.833 1.812 1.796 1.782 1.771 1.761 1.753 1.746 1.74 1.734 1.729 1.725 1.721 1.717 1.714 1.711 1.708 1.706 1.703 1.701 1.699 1.697 1.696 1.694 1.692 1.091 1.69 1.688 1.687 1.686 1.685 1.684 1.676 1.671 1.667 1.664 1.662 1.66 1.653 1.648 1.646
然后计算的F值与查表得到的F表值比较，如果 F < F表 表明两组数据没有显著差异； F ≥ F表 表明两组数据存在显著差异 置信度 95%时F值(单边 )
f大 f 小 2 3 4 5 6 7 8 9 10 ∞
2 19 9.55 6.94 5.79 5.14 4.74 4.46 4.26 4.1 3
∝
0.6745
1.2816
1.6449
1.96
2.3263
2.5758
2.807
3.0902
0.001 0.0005 636.619 31.599 12.924 8.61 6.869 5.959 5.408 5.041 4.781 4.587 4.437 4.318 4.221 4.14 4.073 4.015 3.965 3.922 3.883 3.85 3.819 3.792 3.768 3.745 3.725 3.707 3.69 3.674 3.659 3.646 3.633 3.622 3.611 3.601 3.591 3.582 3.574 3.566 3.558 3.551 3.496 3.46 3.436 3.416 3.402 3.39 3.34 3.31 3.3
3 19.16 9.28 6.59 5.41 4.76 4.35 4.07 3.86 3.71 3.6
4 19.25 9.12 6.39 5.19 4.53 4.12 3.84 3.63 3.48 2.37
5 19.3 9.01 6.26 5.05 4.39 3.97 3.69 3.48 3.33 3.21
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0.01 0.005 63.657 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.25 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2.819 2.807 2.797 2.787 2.779 2.771 2.763 2.756 2.75 2.744 2.738 2.733 2.728 2.724 2.719 2.715 2.712 2.708 2.704 2.678 2.66 2.648 2.639 2.632 2.626 2.601 2.586 2.581
0.5 0.25 1 0.816 0.765 0.741 0.727 0.718 0.711 0.706 0.703 0.7 0.697 0.695 0.694 0.692 0.691 0.69 0.689 0.688 0.688 0.687 0.686 0.686 0.685 0.685 0.684 0.684 0.684 0.683 0.683 0.683 0.682 0.682 0.682 0.682 0.682 0.681 0.681 0.681 0.681 0.681 0.679 0.679 0.678 0.678 0.677 0.677 0.676 0.675 0.675
为大方差数据的自由度； 为小方差数据的自由度。
3.2905
9 19.38 8.81 6 4.78 4.1 3.68 3.39 3.18 3.02 1.88
10 ∞ 19.39 8.78 5.96 4.74 4.06 3.63 3.34 3.13 2.97 1.83 19.5 8.53 5.63 4.36 3.67 3.23 2.93 2.71 2.54 1