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1、统计学附录 F分布临界值表(0.0050.10)=0.005Fk1k21234568 122412345 678910 1112131415 1617181920 2122232425 2627282930406012016211198.555.5531.3322.78 18.6316.2414.6913.6112.83 12.2311.7511.3711.0610.80 10.5810.3810.2210.079.94 9.839.739.639.559.48 9.419.349.289.239.188.838.498.1820000199.049.8026.2818.31 14.4512.
2、4011.0410.119.43 8.918.518.197.927.70 7.517.357.217.096.99 6.896.816.736.666.60 6.546.496.446.406.356.075.795.5421615199.247.4724.2616.53 12.9210.889.608.728.08 7.607.236.936.686.48 6.306.166.035.925.82 5.735.655.585.525.46 5.415.365.325.285.244.984.734.5022500199.246.1923.1515.56 12.0310.058.817.96
3、7.34 6.886.526.236.005.80 5.645.505.375.275.17 5.095.024.954.894.84 4.794.744.704.664.624.374.143.9223056199.345.3922.4614.94 11.469.528.307.476.87 6.426.075.795.565.37 5.215.074.964.854.76 4.684.614.544.494.43 4.384.344.304.264.233.993.763.5523437199.344.8421.9714.51 11.079.167.957.136.54 6.105.765
4、.485.265.07 4.914.784.664.564.47 4.394.324.264.204.15 4.104.064.023.983.953.713.493.2823925199.444.1321.3513.96 10.578.687.506.696.12 5.685.355.084.864.67 4.524.394.284.184.09 4.013.943.883.833.78 3.733.693.653.613.583.353.132.9324426199.443.3920.7013.38 10.038.187.016.235.66 5.244.914.644.434.25 4.
5、103.973.863.763.68 3.603.543.473.423.37 3.333.283.253.213.182.952.742.5424940199.542.6220.0312.78 9.477.656.505.735.17 4.764.434.173.963.79 3.643.513.403.313.22 3.153.083.022.972.92 2.872.832.792.762.732.502.292.0925465199.541.8319.3212.14 8.887.085.955.194.64 4.233.903.653.443.26 3.112.982.872.782.
6、69 2.612.552.482.432.38 2.332.292.252.212.181.931.691.43=0.01 Fk1k2 1234568122412345 678910 1112131415 1617181920 2122232425 2627282930 4060120405298.4934.1221.2016.26 13.7412.2511.2610.5610.04 9.659.339.078.868.68 8.538.408.288.188.10 8.027.947.887.827.77 7.727.687.647.607.56 7.317.086.856.64499999
7、.0130.8118.0013.27 10.929.558.658.027.56 7.206.936.706.516.36 6.236.116.015.935.85 5.785.725.665.615.57 5.535.495.455.425.39 5.184.984.794.60540399.1729.4616.6912.06 9.788.457.596.996.55 6.225.955.745.565.42 5.295.185.095.014.94 4.874.824.764.724.68 4.644.604.574.544.51 4.314.133.953.78562599.2528.7
8、115.9811.39 9.157.857.016.425.99 5.675.415.205.034.89 4.774.674.584.504.43 4.374.314.264.224.18 4.144.114.074.044.02 3.833.653.483.32576499.3028.2415.5210.97 8.757.466.636.065.64 5.325.064.864.694.56 4.444.344.254.174.10 4.043.993.943.903.86 3.823.783.753.733.70 3.513.343.173.02585999.3327.9115.2110
9、.67 8.477.196.375.805.39 5.074.824.624.464.32 4.204.104.013.943.87 3.813.763.713.673.63 3.593.563.533.503.47 3.293.122.962.80598199.3627.4914.8010.29 8.106.846.035.475.06 4.744.504.304.144.00 3.893.793.713.633.56 3.513.453.413.363.32 3.293.263.233.203.17 2.992.822.662.51610699.4227.0514.379.89 7.726
10、.475.675.114.71 4.404.163.963.803.67 3.553.453.373.303.23 3.173.123.073.032.99 2.962.932.902.872.84 2.662.502.342.18623499.4626.6013.939.47 7.316.075.284.734.33 4.023.783.593.433.29 3.183.083.002.922.86 2.802.752.702.662.62 2.582.552.522.492.47 2.292.121.951.79636699.5026.1213.469.02 6.885.654.864.3
11、13.91 3.603.363.163.002.87 2.752.652.572.492.42 2.362.312.262.212.17 2.132.102.062.032.01 1.801.601.381.00=0.025Fk1k212345 68122412345 6789101112131415 1617181920 2122232425 2627282930 4060120647.838.5117.4412.2210.01 8.818.077.577.216.946.726.556.416.306.20 6.126.045.985.925.87 5.835.795.755.725.69
12、 5.665.635.615.595.57 5.425.295.155.02799.539.0016.0410.658.43 7.266.546.065.715.465.265.104.974.864.77 4.694.624.564.514.46 4.424.384.354.324.29 4.274.244.224.204.18 4.053.933.803.69864.239.1715.449.987.76 6.605.895.425.084.834.634.474.354.244.15 4.084.013.953.903.86 3.823.783.753.723.69 3.673.653.
13、633.613.59 3.463.343.233.12899.639.2515.109.607.39 6.235.525.054.724.474.284.124.003.893.80 3.733.663.613.563.51 3.483.443.413.383.35 3.333.313.293.273.25 3.133.012.892.79921.839.3014.889.367.15 5.995.294.824.484.244.043.893.773.663.58 3.503.443.383.333.29 3.253.223.183.153.13 3.103.083.063.043.03 2
14、.902.792.672.57937.139.3314.739.206.98 5.825.124.654.324.073.883.733.603.503.41 3.343.283.223.173.13 3.093.053.022.992.97 2.942.922.902.882.87 2.742.632.522.41956.739.3714.548.986.76 5.604.904.434.103.853.663.513.393.293.20 3.123.063.012.962.91 2.872.842.812.782.75 2.732.712.692.672.65 2.532.412.302
15、.19976.739.4114.348.756.52 5.374.674.203.873.623.433.283.153.052.96 2.892.822.772.722.68 2.642.602.572.542.51 2.492.472.452.432.41 2.292.172.051.94 997.239.4614.128.516.28 5.124.423.953.613.373.173.022.892.792.70 2.632.562.502.452.41 2.372.332.302.272.24 2.222.192.172.152.14 2.011.881.761.64101839.5
16、013.908.266.02 4.854.143.673.333.082.882.722.602.492.40 2.322.252.192.132.09 2.042.001.971.941.91 1.881.851.831.811.79 1.641.481.311.00=0.05Fk1 k21234568122412345678 910 1112131415 16171819202122232425 2627282930 4060120161.418.5110.137.716.61 5.995.595.325.124.96 4.844.754.674.604.54 4.494.454.414.
17、384.354.324.304.284.264.24 4.224.214.204.184.17 4.084.003.923.84199.519.009.556.945.79 5.144.744.464.264.10 3.983.883.803.743.68 3.633.593.553.523.493.473.443.423.403.38 3.373.353.343.333.32 3.233.153.072.99215.719.169.286.595.41 4.764.354.073.863.71 3.593.493.413.343.29 3.243.203.163.133.103.073.05
18、3.033.012.99 2.982.962.952.932.92 2.842.762.682.60224.619.259.126.395.19 4.534.123.843.633.48 3.363.263.183.113.06 3.012.962.932.902.872.842.822.802.782.76 2.742.732.712.702.69 2.612.522.452.37230.219.309.016.265.05 4.393.973.693.483.33 3.203.113.022.962.90 2.852.812.772.742.712.682.662.642.622.60 2
19、.592.572.562.542.53 2.452.372.292.21234.019.338.946.164.95 4.283.873.583.373.22 3.093.002.922.852.79 2.742.702.662.632.602.572.552.532.512.49 2.472.462.442.432.42 2.342.252.172.09238.919.378.846.044.82 4.153.733.443.233.07 2.952.852.772.702.64 2.592.552.512.482.452.422.402.382.362.34 2.322.302.292.2
20、82.27 2.182.102.021.94243.919.418.745.914.68 4.003.573.283.072.91 2.792.692.602.532.48 2.422.382.342.312.282.252.232.202.182.16 2.152.132.122.102.09 2.001.921.831.75249.019.458.645.774.53 3.843.413.122.902.74 2.612.502.422.352.29 2.242.192.152.112.082.052.032.001.981.96 1.951.931.911.901.89 1.791.70
21、1.611.52254.319.508.535.634.36 3.673.232.932.712.54 2.402.302.212.132.07 2.011.961.921.881.841.811.781.761.731.71 1.691.671.651.641.62 1.511.391.251.00=0.10Fk1k21234568122412345 678910 1112131415 1617181920 2122232425 2627282930 406012039.868.535.544.544.06 3.783.593.463.363.29 3.233.183.143.103.07
22、3.053.033.012.992.97 2.962.952.942.932.92 2.912.902.892.892.88 2.842.792.752.7149.509.005.464.323.78 3.463.263.113.012.92 2.862.812.762.732.70 2.672.642.622.612.59 2.572.562.552.542.53 2.522.512.502.502.49 2.442.392.352.3053.599.165.364.193.62 3.293.072.922.812.73 2.662.612.562.522.49 2.462.442.422.
23、402.38 2.362.352.342.332.32 2.312.302.292.282.28 2.232.182.132.0855.839.245.324.113.52 3.182.962.812.692.61 2.542.482.432.392.36 2.332.312.292.272.25 2.232.222.212.192.18 2.172.172.162.152.14 2.092.041.991.9457.249.295.314.053.45 3.112.882.732.612.52 2.452.392.352.312.27 2.242.222.202.182.16 2.142.1
24、32.112.102.09 2.082.072.062.062.05 2.001.951.901.8558.209.335.284.013.40 3.052.832.672.552.46 2.392.332.282.242.21 2.182.152.132.112.09 2.082.062.052.042.02 2.012.002.001.991.98 1.931.871.821.1759.449.375.253.953.34 2.982.752.592.472.38 2.302.242.202.152.12 2.092.062.042.022.00 1.981.971.951.941.93
25、1.921.911.901.891.88 1.831.771.721.6760.719.415.223.903.27 2.902.672.502.382.28 2.212.152.102.052.02 1.991.961.931.911.89 1.871.861.841.831.82 1.811.801.791.781.77 1.711.661.601.5562.009.455.183.833.19 2.822.582.402.282.18 2.102.041.981.941.90 1.871.841.811.791.77 1.751.731.721.701.69 1.681.671.661.
26、651.64 1.571.511.451.3863.339.495.133.763.10 2.722.472.292.162.06 1.971.901.851.801.76 1.721.691.661.631.61 1.591.571.551.531.52 1.501.491.481.471.46 1.381.291.191.00T分布表t分布表0.10.050.0250.010.0050.0010.0005单尾df0.20.10.050.020.010.0020.001双尾13.078 6.314 12.706 31.821 63.657 318.309 636.619 21.886 2.9
27、20 4.303 6.965 9.925 22.327 31.599 31.638 2.353 3.182 4.541 5.841 10.215 12.924 41.533 2.132 2.776 3.747 4.604 7.173 8.610 51.476 2.015 2.571 3.365 4.032 5.893 6.869 61.440 1.943 2.447 3.143 3.707 5.208 5.959 71.415 1.895 2.365 2.998 3.499 4.785 5.408 81.397 1.860 2.306 2.896 3.355 4.501 5.041 91.38
28、3 1.833 2.262 2.821 3.250 4.297 4.781 101.372 1.812 2.228 2.764 3.169 4.144 4.587 111.363 1.796 2.201 2.718 3.106 4.025 4.437 121.356 1.782 2.179 2.681 3.055 3.930 4.318 131.350 1.771 2.160 2.650 3.012 3.852 4.221 141.345 1.761 2.145 2.624 2.977 3.787 4.140 151.341 1.753 2.131 2.602 2.947 3.733 4.07
29、3 161.337 1.746 2.120 2.583 2.921 3.686 4.015 171.333 1.740 2.110 2.567 2.898 3.646 3.965 181.330 1.734 2.101 2.552 2.878 3.610 3.922 191.328 1.729 2.093 2.539 2.861 3.579 3.883 201.325 1.725 2.086 2.528 2.845 3.552 3.850 211.323 1.721 2.080 2.518 2.831 3.527 3.819 221.321 1.717 2.074 2.508 2.819 3.
30、505 3.792 231.319 1.714 2.069 2.500 2.807 3.485 3.768 241.318 1.711 2.064 2.492 2.797 3.467 3.745 251.316 1.708 2.060 2.485 2.787 3.450 3.725 261.315 1.706 2.056 2.479 2.779 3.435 3.707 271.314 1.703 2.052 2.473 2.771 3.421 3.690 281.313 1.701 2.048 2.467 2.763 3.408 3.674 291.311 1.699 2.045 2.462
31、2.756 3.396 3.659 301.310 1.697 2.042 2.457 2.750 3.385 3.646 311.309 1.696 2.040 2.453 2.744 3.375 3.633 321.309 1.694 2.037 2.449 2.738 3.365 3.622 331.308 1.692 2.035 2.445 2.733 3.356 3.611 341.307 1.691 2.032 2.441 2.728 3.348 3.601 351.306 1.690 2.030 2.438 2.724 3.340 3.591 361.306 1.688 2.02
32、8 2.434 2.719 3.333 3.582 371.305 1.687 2.026 2.431 2.715 3.326 3.574 381.304 1.686 2.024 2.429 2.712 3.319 3.566 391.304 1.685 2.023 2.426 2.708 3.313 3.558 401.303 1.684 2.021 2.423 2.704 3.307 3.551 411.303 1.683 2.020 2.421 2.701 3.301 3.544 421.302 1.682 2.018 2.418 2.698 3.296 3.538 431.302 1.
33、681 2.017 2.416 2.695 3.291 3.532 441.301 1.680 2.015 2.414 2.692 3.286 3.526 451.301 1.679 2.014 2.412 2.690 3.281 3.520 461.300 1.679 2.013 2.410 2.687 3.277 3.515 471.300 1.678 2.012 2.408 2.685 3.273 3.510 481.299 1.677 2.011 2.407 2.682 3.269 3.505 491.299 1.677 2.010 2.405 2.680 3.265 3.500 50
34、1.299 1.676 2.009 2.403 2.678 3.261 3.496 511.298 1.675 2.008 2.402 2.676 3.258 3.492 521.298 1.675 2.007 2.400 2.674 3.255 3.488 531.298 1.674 2.006 2.399 2.672 3.251 3.484 541.297 1.674 2.005 2.397 2.670 3.248 3.480 551.297 1.673 2.004 2.396 2.668 3.245 3.476 561.297 1.673 2.003 2.395 2.667 3.242
35、3.473 571.297 1.672 2.002 2.394 2.665 3.239 3.470 581.296 1.672 2.002 2.392 2.663 3.237 3.466 591.296 1.671 2.001 2.391 2.662 3.234 3.463 601.296 1.671 2.000 2.390 2.660 3.232 3.460 611.296 1.670 2.000 2.389 2.659 3.229 3.457 621.295 1.670 1.999 2.388 2.657 3.227 3.454 631.295 1.669 1.998 2.387 2.65
36、6 3.225 3.452 641.295 1.669 1.998 2.386 2.655 3.223 3.449 651.295 1.669 1.997 2.385 2.654 3.220 3.447 661.295 1.668 1.997 2.384 2.652 3.218 3.444 671.294 1.668 1.996 2.383 2.651 3.216 3.442 681.294 1.668 1.995 2.382 2.650 3.214 3.439 691.294 1.667 1.995 2.382 2.649 3.213 3.437 701.294 1.667 1.994 2.381 2.648 3.211 3.435 711.294 1.667 1.994 2.380 2.647 3.209 3.433 721.293 1.666 1.993 2.379 2.646 3.207 3.431 731.293 1.666 1.993 2.379 2.645 3.206 3.429 741.293 1.666 1.993 2.378 2.644 3.204 3.427 751.293 1
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