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First, use the Critical Significance Level (α: alpha) glossary item: Critical Significance Level chosen in Step 2 and the regression (df1 = one less than the number of variables) and error (df2 = total sample size number of variables) degrees of freedom glossary item: degrees of freedom calculated in Step 3 to find the Critical Value glossary item: Critical Value of F (Fcritical) using a Critical Value Table such as the one below e.g., if α = 0.05, df1 = 1 and df2 = 4 then Fcritical = 12.218.

Second, compare Fcritical with the value for the F statistic glossary item: F statistic calculated in Step 3.

Reject your Null Hypothesis glossary item: Null Hypothesis if your calculated value is greater than or equal to the critical value; F ≥ Fcritical (significant result).

Accept your Null Hypothesis glossary item: Null Hypothesis if your calculated value is less than the critical value; F < Fcritical (non-significant result).

E.g., if F = 14.332 and Fcritical = 12.218 then reject the Null Hypothesis.

 

Table of Critical Values for a Critical Significance Level (α: alpha) = 0.05 for the F statistic where df1 is the degrees of freedom for regression (the numerator; the number of variables - 1) and df2 is the error degrees of freedom (the denominator; the total sample size number of variables) for regression test.
  df1: 1 2 3 4 5 6 7 8 9 10
df2: 1 647.793 799.482 864.151 899.599 921.835 937.114 948.203 956.643 963.279 968.634
  2 38.506 39.000 39.166 39.248 39.298 39.331 39.356 39.373 39.387 39.398
  3 17.443 16.044 15.439 15.101 14.885 14.735 14.624 14.540 14.473 14.419
  4 12.218 10.649 9.979 9.604 9.364 9.197 9.074 8.980 8.905 8.844
  5 10.007 8.434 7.764 7.388 7.146 6.978 6.853 6.757 6.681 6.619
  6 8.813 7.260 6.599 6.227 5.988 5.820 5.695 5.600 5.523 5.461
  7 8.073 6.542 5.890 5.523 5.285 5.119 4.995 4.899 4.823 4.761
  8 7.571 6.059 5.416 5.053 4.817 4.652 4.529 4.433 4.357 4.295
  9 7.209 5.715 5.078 4.718 4.484 4.320 4.197 4.102 4.026 3.964
  10 6.937 5.456 4.826 4.468 4.236 4.072 3.950 3.855 3.779 3.717
  11 6.724 5.256 4.630 4.275 4.044 3.881 3.759 3.664 3.588 3.526
  12 6.554 5.096 4.474 4.121 3.891 3.728 3.607 3.512 3.436 3.374
  13 6.414 4.965 4.347 3.996 3.767 3.604 3.483 3.388 3.312 3.250
  14 6.298 4.857 4.242 3.892 3.663 3.501 3.380 3.285 3.209 3.147
  15 6.200 4.765 4.153 3.804 3.576 3.415 3.293 3.199 3.123 3.060
  16 6.115 4.687 4.077 3.729 3.502 3.341 3.219 3.125 3.049 2.986
  17 6.042 4.619 4.011 3.665 3.438 3.277 3.156 3.061 2.985 2.922
  18 5.978 4.560 3.954 3.608 3.382 3.221 3.100 3.005 2.929 2.866
  19 5.922 4.508 3.903 3.559 3.333 3.172 3.051 2.956 2.880 2.817
  20 5.871 4.461 3.859 3.515 3.289 3.128 3.007 2.913 2.837 2.774
  21 5.827 4.420 3.819 3.475 3.250 3.090 2.969 2.874 2.798 2.735
  22 5.786 4.383 3.783 3.440 3.215 3.055 2.934 2.839 2.763 2.700
  23 5.750 4.349 3.750 3.408 3.183 3.023 2.902 2.808 2.731 2.668
  24 5.717 4.319 3.721 3.379 3.155 2.995 2.874 2.779 2.703 2.640
  25 5.686 4.291 3.694 3.353 3.129 2.969 2.848 2.753 2.677 2.613
  26 5.659 4.265 3.670 3.329 3.105 2.945 2.824 2.729 2.653 2.590
  27 5.633 4.242 3.647 3.307 3.083 2.923 2.802 2.707 2.631 2.568
  28 5.610 4.221 3.626 3.286 3.063 2.903 2.782 2.687 2.611 2.547
  29 5.588 4.201 3.607 3.267 3.044 2.884 2.763 2.669 2.592 2.529
  30 5.568 4.182 3.589 3.250 3.026 2.867 2.746 2.651 2.575 2.511
  31 5.549 4.165 3.573 3.234 3.010 2.851 2.730 2.635 2.558 2.495
  32 5.531 4.149 3.557 3.218 2.995 2.836 2.715 2.620 2.543 2.480
  33 5.515 4.134 3.543 3.204 2.981 2.822 2.701 2.606 2.529 2.466
  34 5.499 4.120 3.529 3.191 2.968 2.808 2.688 2.593 2.516 2.453
  35 5.485 4.106 3.517 3.179 2.956 2.796 2.676 2.581 2.504 2.440
  36 5.471 4.094 3.505 3.167 2.944 2.785 2.664 2.569 2.492 2.429
  37 5.458 4.082 3.493 3.156 2.933 2.774 2.653 2.558 2.481 2.418
  38 5.446 4.071 3.483 3.145 2.923 2.763 2.643 2.548 2.471 2.407
  39 5.435 4.061 3.473 3.135 2.913 2.754 2.633 2.538 2.461 2.397
  40 5.424 4.051 3.463 3.126 2.904 2.744 2.624 2.529 2.452 2.388