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2. Measurement Process Characterization
2.3. Calibration
2.3.6. Instrument calibration over a regime
2.3.6.5. Data analysis and model validation

2.3.6.5.3.

Table of critical values of F distribution

Upper critical values of the F distribution
for numerator degrees of freedom and denominator degrees of freedom

5% significance level

     \     1      2      3      4      5      6      7      8      9      10
   
   1.     161.448 18.513 10.128  7.709  6.608  5.987  5.591  5.318  5.117  4.965
   2.     199.500 19.000  9.552  6.944  5.786  5.143  4.737  4.459  4.256  4.103
   3.     215.707 19.164  9.277  6.591  5.409  4.757  4.347  4.066  3.863  3.708
   4.     224.583 19.247  9.117  6.388  5.192  4.534  4.120  3.838  3.633  3.478
   5.     230.162 19.296  9.013  6.256  5.050  4.387  3.972  3.687  3.482  3.326
   6.     233.986 19.330  8.941  6.163  4.950  4.284  3.866  3.581  3.374  3.217
   7.     236.768 19.353  8.887  6.094  4.876  4.207  3.787  3.500  3.293  3.135
   8.     238.882 19.371  8.845  6.041  4.818  4.147  3.726  3.438  3.230  3.072
   9.     240.543 19.385  8.812  5.999  4.772  4.099  3.677  3.388  3.179  3.020
  10.     241.882 19.396  8.786  5.964  4.735  4.060  3.637  3.347  3.137  2.978
  11.     242.983 19.405  8.763  5.936  4.704  4.027  3.603  3.313  3.102  2.943
  12.     243.906 19.413  8.745  5.912  4.678  4.000  3.575  3.284  3.073  2.913
  13.     244.690 19.419  8.729  5.891  4.655  3.976  3.550  3.259  3.048  2.887
  14.     245.364 19.424  8.715  5.873  4.636  3.956  3.529  3.237  3.025  2.865
  15.     245.950 19.429  8.703  5.858  4.619  3.938  3.511  3.218  3.006  2.845
  16.     246.464 19.433  8.692  5.844  4.604  3.922  3.494  3.202  2.989  2.828
  17.     246.918 19.437  8.683  5.832  4.590  3.908  3.480  3.187  2.974  2.812
  18.     247.323 19.440  8.675  5.821  4.579  3.896  3.467  3.173  2.960  2.798
  19.     247.686 19.443  8.667  5.811  4.568  3.884  3.455  3.161  2.948  2.785
  20.     248.013 19.446  8.660  5.803  4.558  3.874  3.445  3.150  2.936  2.774
  21.     248.310 19.448  8.654  5.795  4.549  3.865  3.435  3.140  2.926  2.764
  22.     248.579 19.450  8.648  5.787  4.541  3.856  3.426  3.131  2.917  2.754
  23.     248.826 19.452  8.643  5.781  4.534  3.849  3.418  3.123  2.908  2.745
  24.     249.052 19.454  8.639  5.774  4.527  3.841  3.410  3.115  2.900  2.737
  25.     249.260 19.456  8.634  5.769  4.521  3.835  3.404  3.108  2.893  2.730
  26.     249.452 19.457  8.630  5.763  4.515  3.829  3.397  3.102  2.886  2.723
  27.     249.631 19.459  8.626  5.759  4.510  3.823  3.391  3.095  2.880  2.716
  28.     249.797 19.460  8.623  5.754  4.505  3.818  3.386  3.090  2.874  2.710
  29.     249.951 19.461  8.620  5.750  4.500  3.813  3.381  3.084  2.869  2.705
  30.     250.095 19.462  8.617  5.746  4.496  3.808  3.376  3.079  2.864  2.700
  31.     250.230 19.463  8.614  5.742  4.492  3.804  3.371  3.075  2.859  2.695
  32.     250.357 19.464  8.611  5.739  4.488  3.800  3.367  3.070  2.854  2.690
  33.     250.476 19.465  8.609  5.735  4.484  3.796  3.363  3.066  2.850  2.686
  34.     250.588 19.466  8.606  5.732  4.481  3.792  3.359  3.062  2.846  2.681
  35.     250.693 19.467  8.604  5.729  4.478  3.789  3.356  3.059  2.842  2.678
  36.     250.793 19.468  8.602  5.727  4.474  3.786  3.352  3.055  2.839  2.674
  37.     250.888 19.469  8.600  5.724  4.472  3.783  3.349  3.052  2.835  2.670
  38.     250.977 19.469  8.598  5.722  4.469  3.780  3.346  3.049  2.832  2.667
  39.     251.062 19.470  8.596  5.719  4.466  3.777  3.343  3.046  2.829  2.664
  40.     251.143 19.471  8.594  5.717  4.464  3.774  3.340  3.043  2.826  2.661
  41.     251.220 19.471  8.593  5.715  4.461  3.772  3.338  3.040  2.823  2.658
  42.     251.293 19.472  8.591  5.713  4.459  3.769  3.335  3.037  2.820  2.655
  43.     251.363 19.472  8.590  5.711  4.457  3.767  3.333  3.035  2.818  2.653
  44.     251.430 19.473  8.588  5.709  4.455  3.765  3.331  3.033  2.815  2.650
  45.     251.493 19.474  8.587  5.707  4.453  3.763  3.328  3.030  2.813  2.648
  46.     251.554 19.474  8.586  5.706  4.451  3.761  3.326  3.028  2.811  2.645
  47.     251.613 19.474  8.584  5.704  4.449  3.759  3.324  3.026  2.809  2.643
  48.     251.669 19.475  8.583  5.702  4.448  3.757  3.322  3.024  2.807  2.641
  49.     251.723 19.475  8.582  5.701  4.446  3.755  3.321  3.022  2.805  2.639
  50.     251.774 19.476  8.581  5.699  4.444  3.754  3.319  3.020  2.803  2.637
  51.     251.823 19.476  8.580  5.698  4.443  3.752  3.317  3.019  2.801  2.635
  52.     251.871 19.476  8.579  5.697  4.441  3.750  3.316  3.017  2.799  2.633
  53.     251.917 19.477  8.578  5.696  4.440  3.749  3.314  3.015  2.798  2.632
  54.     251.961 19.477  8.577  5.694  4.439  3.748  3.312  3.014  2.796  2.630
  55.     252.004 19.478  8.576  5.693  4.437  3.746  3.311  3.012  2.794  2.628
  56.     252.045 19.478  8.575  5.692  4.436  3.745  3.310  3.011  2.793  2.627
  57.     252.085 19.478  8.574  5.691  4.435  3.743  3.308  3.009  2.791  2.625
  58.     252.123 19.478  8.574  5.690  4.434  3.742  3.307  3.008  2.790  2.624
  59.     252.160 19.479  8.573  5.689  4.432  3.741  3.306  3.007  2.789  2.622
  60.     252.196 19.479  8.572  5.688  4.431  3.740  3.304  3.005  2.787  2.621
  61.     252.230 19.479  8.571  5.687  4.430  3.739  3.303  3.004  2.786  2.620
  62.     252.264 19.480  8.571  5.686  4.429  3.738  3.302  3.003  2.785  2.618
  63.     252.296 19.480  8.570  5.685  4.428  3.736  3.301  3.002  2.784  2.617
  64.     252.327 19.480  8.569  5.684  4.427  3.735  3.300  3.001  2.782  2.616
  65.     252.358 19.480  8.569  5.683  4.426  3.734  3.299  2.999  2.781  2.615
  66.     252.387 19.481  8.568  5.682  4.425  3.733  3.298  2.998  2.780  2.614
  67.     252.416 19.481  8.567  5.682  4.425  3.733  3.297  2.997  2.779  2.613
  68.     252.444 19.481  8.567  5.681  4.424  3.732  3.296  2.996  2.778  2.612
  69.     252.471 19.481  8.566  5.680  4.423  3.731  3.295  2.995  2.777  2.611
  70.     252.497 19.481  8.566  5.679  4.422  3.730  3.294  2.994  2.776  2.610
  71.     252.523 19.482  8.565  5.679  4.421  3.729  3.293  2.994  2.775  2.609
  72.     252.547 19.482  8.564  5.678  4.420  3.728  3.292  2.993  2.774  2.608
  73.     252.571 19.482  8.564  5.677  4.420  3.727  3.291  2.992  2.773  2.607
  74.     252.595 19.482  8.563  5.677  4.419  3.727  3.290  2.991  2.772  2.606
  75.     252.618 19.482  8.563  5.676  4.418  3.726  3.290  2.990  2.771  2.605
  76.     252.640 19.483  8.562  5.675  4.418  3.725  3.289  2.989  2.771  2.604
  77.     252.662 19.483  8.562  5.675  4.417  3.724  3.288  2.988  2.770  2.603
  78.     252.683 19.483  8.562  5.674  4.416  3.724  3.287  2.988  2.769  2.602
  79.     252.703 19.483  8.561  5.674  4.416  3.723  3.287  2.987  2.768  2.602
  80.     252.723 19.483  8.561  5.673  4.415  3.722  3.286  2.986  2.768  2.601
  81.     252.743 19.483  8.560  5.672  4.414  3.722  3.285  2.986  2.767  2.600
  82.     252.763 19.484  8.560  5.672  4.414  3.721  3.285  2.985  2.766  2.599
  83.     252.781 19.484  8.559  5.671  4.413  3.720  3.284  2.984  2.765  2.599
  84.     252.799 19.484  8.559  5.671  4.413  3.720  3.283  2.983  2.765  2.598
  85.     252.817 19.484  8.559  5.670  4.412  3.719  3.283  2.983  2.764  2.597
  86.     252.835 19.484  8.558  5.670  4.412  3.719  3.282  2.982  2.763  2.596
  87.     252.851 19.484  8.558  5.669  4.411  3.718  3.282  2.982  2.763  2.596
  88.     252.868 19.484  8.558  5.669  4.410  3.718  3.281  2.981  2.762  2.595
  89.     252.884 19.484  8.557  5.668  4.410  3.717  3.280  2.980  2.761  2.595
  90.     252.900 19.485  8.557  5.668  4.409  3.716  3.280  2.980  2.761  2.594
  91.     252.915 19.485  8.557  5.668  4.409  3.716  3.279  2.979  2.760  2.593
  92.     252.931 19.485  8.556  5.667  4.409  3.715  3.279  2.979  2.760  2.593
  93.     252.945 19.485  8.556  5.667  4.408  3.715  3.278  2.978  2.759  2.592
  94.     252.960 19.485  8.556  5.666  4.408  3.714  3.278  2.978  2.759  2.592
  95.     252.974 19.485  8.555  5.666  4.407  3.714  3.277  2.977  2.758  2.591
  96.     252.988 19.485  8.555  5.666  4.407  3.714  3.277  2.977  2.758  2.590
  97.     253.002 19.485  8.555  5.665  4.406  3.713  3.276  2.976  2.757  2.590
  98.     253.015 19.486  8.554  5.665  4.406  3.713  3.276  2.976  2.757  2.589
  99.     253.028 19.486  8.554  5.664  4.405  3.712  3.275  2.975  2.756  2.589
 100.     253.041 19.486  8.554  5.664  4.405  3.712  3.275  2.975  2.756  2.588


     \     11     12     13     14     15     16     17     18     19     20
   
   1.       4.844  4.747  4.667  4.600  4.543  4.494  4.451  4.414  4.381  4.351
   2.       3.982  3.885  3.806  3.739  3.682  3.634  3.592  3.555  3.522  3.493
   3.       3.587  3.490  3.411  3.344  3.287  3.239  3.197  3.160  3.127  3.098
   4.       3.357  3.259  3.179  3.112  3.056  3.007  2.965  2.928  2.895  2.866
   5.       3.204  3.106  3.025  2.958  2.901  2.852  2.810  2.773  2.740  2.711
   6.       3.095  2.996  2.915  2.848  2.790  2.741  2.699  2.661  2.628  2.599
   7.       3.012  2.913  2.832  2.764  2.707  2.657  2.614  2.577  2.544  2.514
   8.       2.948  2.849  2.767  2.699  2.641  2.591  2.548  2.510  2.477  2.447
   9.       2.896  2.796  2.714  2.646  2.588  2.538  2.494  2.456  2.423  2.393
  10.       2.854  2.753  2.671  2.602  2.544  2.494  2.450  2.412  2.378  2.348
  11.       2.818  2.717  2.635  2.565  2.507  2.456  2.413  2.374  2.340  2.310
  12.       2.788  2.687  2.604  2.534  2.475  2.425  2.381  2.342  2.308  2.278
  13.       2.761  2.660  2.577  2.507  2.448  2.397  2.353  2.314  2.280  2.250
  14.       2.739  2.637  2.554  2.484  2.424  2.373  2.329  2.290  2.256  2.225
  15.       2.719  2.617  2.533  2.463  2.403  2.352  2.308  2.269  2.234  2.203
  16.       2.701  2.599  2.515  2.445  2.385  2.333  2.289  2.250  2.215  2.184
  17.       2.685  2.583  2.499  2.428  2.368  2.317  2.272  2.233  2.198  2.167
  18.       2.671  2.568  2.484  2.413  2.353  2.302  2.257  2.217  2.182  2.151
  19.       2.658  2.555  2.471  2.400  2.340  2.288  2.243  2.203  2.168  2.137
  20.       2.646  2.544  2.459  2.388  2.328  2.276  2.230  2.191  2.155  2.124
  21.       2.636  2.533  2.448  2.377  2.316  2.264  2.219  2.179  2.144  2.112
  22.       2.626  2.523  2.438  2.367  2.306  2.254  2.208  2.168  2.133  2.102
  23.       2.617  2.514  2.429  2.357  2.297  2.244  2.199  2.159  2.123  2.092
  24.       2.609  2.505  2.420  2.349  2.288  2.235  2.190  2.150  2.114  2.082
  25.       2.601  2.498  2.412  2.341  2.280  2.227  2.181  2.141  2.106  2.074
  26.       2.594  2.491  2.405  2.333  2.272  2.220  2.174  2.134  2.098  2.066
  27.       2.588  2.484  2.398  2.326  2.265  2.212  2.167  2.126  2.090  2.059
  28.       2.582  2.478  2.392  2.320  2.259  2.206  2.160  2.119  2.084  2.052
  29.       2.576  2.472  2.386  2.314  2.253  2.200  2.154  2.113  2.077  2.045
  30.       2.570  2.466  2.380  2.308  2.247  2.194  2.148  2.107  2.071  2.039
  31.       2.565  2.461  2.375  2.303  2.241  2.188  2.142  2.102  2.066  2.033
  32.       2.561  2.456  2.370  2.298  2.236  2.183  2.137  2.096  2.060  2.028
  33.       2.556  2.452  2.366  2.293  2.232  2.178  2.132  2.091  2.055  2.023
  34.       2.552  2.447  2.361  2.289  2.227  2.174  2.127  2.087  2.050  2.018
  35.       2.548  2.443  2.357  2.284  2.223  2.169  2.123  2.082  2.046  2.013
  36.       2.544  2.439  2.353  2.280  2.219  2.165  2.119  2.078  2.042  2.009
  37.       2.541  2.436  2.349  2.277  2.215  2.161  2.115  2.074  2.037  2.005
  38.       2.537  2.432  2.346  2.273  2.211  2.158  2.111  2.070  2.034  2.001
  39.       2.534  2.429  2.342  2.270  2.208  2.154  2.107  2.066  2.030  1.997
  40.       2.531  2.426  2.339  2.266  2.204  2.151  2.104  2.063  2.026  1.994
  41.       2.528  2.423  2.336  2.263  2.201  2.147  2.101  2.060  2.023  1.990
  42.       2.525  2.420  2.333  2.260  2.198  2.144  2.098  2.056  2.020  1.987
  43.       2.522  2.417  2.330  2.257  2.195  2.141  2.095  2.053  2.017  1.984
  44.       2.520  2.415  2.328  2.255  2.192  2.139  2.092  2.050  2.014  1.981
  45.       2.517  2.412  2.325  2.252  2.190  2.136  2.089  2.048  2.011  1.978
  46.       2.515  2.410  2.323  2.250  2.187  2.133  2.086  2.045  2.008  1.976
  47.       2.513  2.407  2.320  2.247  2.185  2.131  2.084  2.042  2.006  1.973
  48.       2.511  2.405  2.318  2.245  2.182  2.128  2.081  2.040  2.003  1.970
  49.       2.509  2.403  2.316  2.243  2.180  2.126  2.079  2.038  2.001  1.968
  50.       2.507  2.401  2.314  2.241  2.178  2.124  2.077  2.035  1.999  1.966
  51.       2.505  2.399  2.312  2.238  2.176  2.122  2.075  2.033  1.996  1.963
  52.       2.503  2.397  2.310  2.236  2.174  2.120  2.073  2.031  1.994  1.961
  53.       2.501  2.395  2.308  2.235  2.172  2.118  2.071  2.029  1.992  1.959
  54.       2.499  2.394  2.306  2.233  2.170  2.116  2.069  2.027  1.990  1.957
  55.       2.498  2.392  2.304  2.231  2.168  2.114  2.067  2.025  1.988  1.955
  56.       2.496  2.390  2.303  2.229  2.167  2.112  2.065  2.023  1.986  1.953
  57.       2.494  2.389  2.301  2.228  2.165  2.111  2.063  2.022  1.985  1.951
  58.       2.493  2.387  2.300  2.226  2.163  2.109  2.062  2.020  1.983  1.950
  59.       2.492  2.386  2.298  2.224  2.162  2.107  2.060  2.018  1.981  1.948
  60.       2.490  2.384  2.297  2.223  2.160  2.106  2.058  2.017  1.980  1.946
  61.       2.489  2.383  2.295  2.221  2.159  2.104  2.057  2.015  1.978  1.945
  62.       2.487  2.381  2.294  2.220  2.157  2.103  2.055  2.014  1.976  1.943
  63.       2.486  2.380  2.292  2.219  2.156  2.101  2.054  2.012  1.975  1.942
  64.       2.485  2.379  2.291  2.217  2.154  2.100  2.053  2.011  1.974  1.940
  65.       2.484  2.378  2.290  2.216  2.153  2.099  2.051  2.009  1.972  1.939
  66.       2.483  2.376  2.289  2.215  2.152  2.097  2.050  2.008  1.971  1.937
  67.       2.481  2.375  2.288  2.214  2.151  2.096  2.049  2.007  1.969  1.936
  68.       2.480  2.374  2.286  2.212  2.149  2.095  2.047  2.005  1.968  1.935
  69.       2.479  2.373  2.285  2.211  2.148  2.094  2.046  2.004  1.967  1.934
  70.       2.478  2.372  2.284  2.210  2.147  2.093  2.045  2.003  1.966  1.932
  71.       2.477  2.371  2.283  2.209  2.146  2.092  2.044  2.002  1.965  1.931
  72.       2.476  2.370  2.282  2.208  2.145  2.090  2.043  2.001  1.963  1.930
  73.       2.475  2.369  2.281  2.207  2.144  2.089  2.042  2.000  1.962  1.929
  74.       2.474  2.368  2.280  2.206  2.143  2.088  2.041  1.999  1.961  1.928
  75.       2.473  2.367  2.279  2.205  2.142  2.087  2.040  1.998  1.960  1.927
  76.       2.473  2.366  2.278  2.204  2.141  2.086  2.039  1.997  1.959  1.926
  77.       2.472  2.365  2.277  2.203  2.140  2.085  2.038  1.996  1.958  1.925
  78.       2.471  2.364  2.276  2.202  2.139  2.084  2.037  1.995  1.957  1.924
  79.       2.470  2.364  2.276  2.201  2.138  2.084  2.036  1.994  1.956  1.923
  80.       2.469  2.363  2.275  2.201  2.137  2.083  2.035  1.993  1.955  1.922
  81.       2.468  2.362  2.274  2.200  2.136  2.082  2.034  1.992  1.954  1.921
  82.       2.468  2.361  2.273  2.199  2.136  2.081  2.033  1.991  1.953  1.920
  83.       2.467  2.360  2.272  2.198  2.135  2.080  2.032  1.990  1.953  1.919
  84.       2.466  2.360  2.272  2.197  2.134  2.079  2.031  1.989  1.952  1.918
  85.       2.466  2.359  2.271  2.197  2.133  2.078  2.031  1.988  1.951  1.917
  86.       2.465  2.358  2.270  2.196  2.133  2.078  2.030  1.988  1.950  1.916
  87.       2.464  2.358  2.269  2.195  2.132  2.077  2.029  1.987  1.949  1.916
  88.       2.463  2.357  2.269  2.194  2.131  2.076  2.028  1.986  1.948  1.915
  89.       2.463  2.356  2.268  2.194  2.130  2.075  2.028  1.985  1.948  1.914
  90.       2.462  2.356  2.267  2.193  2.130  2.075  2.027  1.985  1.947  1.913
  91.       2.462  2.355  2.267  2.192  2.129  2.074  2.026  1.984  1.946  1.913
  92.       2.461  2.354  2.266  2.192  2.128  2.073  2.025  1.983  1.946  1.912
  93.       2.460  2.354  2.265  2.191  2.128  2.073  2.025  1.982  1.945  1.911
  94.       2.460  2.353  2.265  2.190  2.127  2.072  2.024  1.982  1.944  1.910
  95.       2.459  2.353  2.264  2.190  2.126  2.071  2.023  1.981  1.943  1.910
  96.       2.459  2.352  2.264  2.189  2.126  2.071  2.023  1.980  1.943  1.909
  97.       2.458  2.351  2.263  2.189  2.125  2.070  2.022  1.980  1.942  1.908
  98.       2.458  2.351  2.262  2.188  2.125  2.070  2.022  1.979  1.942  1.908
  99.       2.457  2.350  2.262  2.188  2.124  2.069  2.021  1.979  1.941  1.907
 100.       2.457  2.350  2.261  2.187  2.123  2.068  2.020  1.978  1.940  1.907  


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