Wooldridge_-_Introductory_Econometrics_2nd_Ed
.pdf
Appendix G Statistical Tables
TABLE G.1 (concluded )
z |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.24510.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.27760.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.31210.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.34830.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.38590.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.42470.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641
0.00.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359
0.10.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753
0.20.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141
0.30.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517
0.40.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879
0.50.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224
0.60.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549
0.70.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852
0.80.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133
0.90.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389
1.00.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621
1.10.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830
1.20.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015
1.30.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177
1.40.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319
1.50.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441
1.60.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545
1.70.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633
1.80.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706
1.90.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767
2.00.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817
2.10.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857
2.20.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890
2.30.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916
2.40.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936
2.50.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952
2.60.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964
2.70.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974
2.80.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981
2.90.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986
3.00.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990
Examples: If Z ~ Normal(0,1) then P(Z 1.32) .0934 and P(Z 1.84) .9671. Source: This table was generated using the Stata® function normd.
779
Appendix G |
Statistical Tables |
TABLE G.2
Critical Values of the t Distribution
Significance Level
1-Tailed: |
.10 |
.05 |
.025 |
.01 |
.005 |
||
2-Tailed: |
.20 |
.10 |
.050 |
.02 |
.010 |
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1 |
3.078 |
6.314 |
12.706 |
31.821 |
63.657 |
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2 |
1.886 |
2.920 |
4.303 |
6.965 |
9.925 |
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3 |
1.638 |
2.353 |
3.182 |
4.541 |
5.841 |
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4 |
1.533 |
2.132 |
2.776 |
3.747 |
4.604 |
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5 |
1.476 |
2.015 |
2.571 |
3.365 |
4.032 |
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6 |
1.440 |
1.943 |
2.447 |
3.143 |
3.707 |
|
D |
7 |
1.415 |
1.895 |
2.365 |
2.998 |
3.499 |
|
8 |
1.397 |
1.860 |
2.306 |
2.896 |
3.355 |
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e |
|||||||
9 |
1.383 |
1.833 |
2.262 |
2.821 |
3.250 |
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g |
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10 |
1.372 |
1.812 |
2.228 |
2.764 |
3.169 |
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r |
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11 |
1.363 |
1.796 |
2.201 |
2.718 |
3.106 |
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e |
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12 |
1.356 |
1.782 |
2.179 |
2.681 |
3.055 |
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e |
|||||||
13 |
1.350 |
1.771 |
2.160 |
2.650 |
3.012 |
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s |
|||||||
14 |
1.345 |
1.761 |
2.145 |
2.624 |
2.977 |
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o |
15 |
1.341 |
1.753 |
2.131 |
2.602 |
2.947 |
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f |
16 |
1.337 |
1.746 |
2.120 |
2.583 |
2.921 |
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17 |
1.333 |
1.740 |
2.110 |
2.567 |
2.898 |
|
F |
18 |
1.330 |
1.734 |
2.101 |
2.552 |
2.878 |
|
r |
19 |
1.328 |
1.729 |
2.093 |
2.539 |
2.861 |
|
20 |
1.325 |
1.725 |
2.086 |
2.528 |
2.845 |
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e |
|||||||
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e |
21 |
1.323 |
1.721 |
2.080 |
2.518 |
2.831 |
|
d |
|||||||
22 |
1.321 |
1.717 |
2.074 |
2.508 |
2.819 |
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o |
23 |
1.319 |
1.714 |
2.069 |
2.500 |
2.807 |
|
m |
24 |
1.318 |
1.711 |
2.064 |
2.492 |
2.797 |
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25 |
1.316 |
1.708 |
2.060 |
2.485 |
2.787 |
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26 |
1.315 |
1.706 |
2.056 |
2.479 |
2.779 |
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27 |
1.314 |
1.703 |
2.052 |
2.473 |
2.771 |
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28 |
1.313 |
1.701 |
2.048 |
2.467 |
2.763 |
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29 |
1.311 |
1.699 |
2.045 |
2.462 |
2.756 |
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30 |
1.310 |
1.697 |
2.042 |
2.457 |
2.750 |
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40 |
1.303 |
1.684 |
2.021 |
2.423 |
2.704 |
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60 |
1.296 |
1.671 |
2.000 |
2.390 |
2.660 |
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|
90 |
1.291 |
1.662 |
1.987 |
2.368 |
2.632 |
|
|
120 |
1.289 |
1.658 |
1.980 |
2.358 |
2.617 |
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|
1.282 |
1.645 |
1.960 |
2.326 |
2.576 |
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Examples: The 1% critical value for a one-tailed test with 25 df is 2.485. The 5% critical for a two-tailed test with large ( 120) df is 1.96.
Source: This table was generated using the Stata® function invt.
780
Appendix G |
Statistical Tables |
TABLE G.3a
10% Critical Values of the F Distribution
Numerator Degrees of Freedom
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
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|
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|
|
|
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|
10 |
3.29 |
2.92 |
2.73 |
2.61 |
2.52 |
2.46 |
2.41 |
2.38 |
2.35 |
2.32 |
|
D |
11 |
3.23 |
2.86 |
2.66 |
2.54 |
2.45 |
2.39 |
2.34 |
2.30 |
2.27 |
2.25 |
|
12 |
3.18 |
2.81 |
2.61 |
2.48 |
2.39 |
2.33 |
2.28 |
2.24 |
2.21 |
2.19 |
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e |
||||||||||||
n |
13 |
3.14 |
2.76 |
2.56 |
2.43 |
2.35 |
2.28 |
2.23 |
2.20 |
2.16 |
2.14 |
|
o |
14 |
3.10 |
2.73 |
2.52 |
2.39 |
2.31 |
2.24 |
2.19 |
2.15 |
2.12 |
2.10 |
|
m |
||||||||||||
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i |
15 |
3.07 |
2.70 |
2.49 |
2.36 |
2.27 |
2.21 |
2.16 |
2.12 |
2.09 |
2.06 |
|
n |
||||||||||||
16 |
3.05 |
2.67 |
2.46 |
2.33 |
2.24 |
2.18 |
2.13 |
2.09 |
2.06 |
2.03 |
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a |
||||||||||||
17 |
3.03 |
2.64 |
2.44 |
2.31 |
2.22 |
2.15 |
2.10 |
2.06 |
2.03 |
2.00 |
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t |
||||||||||||
o |
18 |
3.01 |
2.62 |
2.42 |
2.29 |
2.20 |
2.13 |
2.08 |
2.04 |
2.00 |
1.98 |
|
r |
19 |
2.99 |
2.61 |
2.40 |
2.27 |
2.18 |
2.11 |
2.06 |
2.02 |
1.98 |
1.96 |
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D |
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20 |
2.97 |
2.59 |
2.38 |
2.25 |
2.16 |
2.09 |
2.04 |
2.00 |
1.96 |
1.94 |
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e |
||||||||||||
21 |
2.96 |
2.57 |
2.36 |
2.23 |
2.14 |
2.08 |
2.02 |
1.98 |
1.95 |
1.92 |
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g |
||||||||||||
22 |
2.95 |
2.56 |
2.35 |
2.22 |
2.13 |
2.06 |
2.01 |
1.97 |
1.93 |
1.90 |
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r |
||||||||||||
e |
23 |
2.94 |
2.55 |
2.34 |
2.21 |
2.11 |
2.05 |
1.99 |
1.95 |
1.92 |
1.89 |
|
e |
24 |
2.93 |
2.54 |
2.33 |
2.19 |
2.10 |
2.04 |
1.98 |
1.94 |
1.91 |
1.88 |
|
s |
||||||||||||
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|
|
|
|
|
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o |
25 |
2.92 |
2.53 |
2.32 |
2.18 |
2.09 |
2.02 |
1.97 |
1.93 |
1.89 |
1.87 |
|
26 |
2.91 |
2.52 |
2.31 |
2.17 |
2.08 |
2.01 |
1.96 |
1.92 |
1.88 |
1.86 |
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f |
||||||||||||
27 |
2.90 |
2.51 |
2.30 |
2.17 |
2.07 |
2.00 |
1.95 |
1.91 |
1.87 |
1.85 |
||
F |
||||||||||||
28 |
2.89 |
2.50 |
2.29 |
2.16 |
2.06 |
2.00 |
1.94 |
1.90 |
1.87 |
1.84 |
||
r |
29 |
2.89 |
2.50 |
2.28 |
2.15 |
2.06 |
1.99 |
1.93 |
1.89 |
1.86 |
1.83 |
|
e |
||||||||||||
|
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|
|
|
||
e |
30 |
2.88 |
2.49 |
2.28 |
2.14 |
2.05 |
1.98 |
1.93 |
1.88 |
1.85 |
1.82 |
|
d |
||||||||||||
40 |
2.84 |
2.44 |
2.23 |
2.09 |
2.00 |
1.93 |
1.87 |
1.83 |
1.79 |
1.76 |
||
o |
||||||||||||
60 |
2.79 |
2.39 |
2.18 |
2.04 |
1.95 |
1.87 |
1.82 |
1.77 |
1.74 |
1.71 |
||
m |
||||||||||||
|
90 |
2.76 |
2.36 |
2.15 |
2.01 |
1.91 |
1.84 |
1.78 |
1.74 |
1.70 |
1.67 |
|
|
120 |
2.75 |
2.35 |
2.13 |
1.99 |
1.90 |
1.82 |
1.77 |
1.72 |
1.68 |
1.65 |
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|
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|
|
2.71 |
2.30 |
2.08 |
1.94 |
1.85 |
1.77 |
1.72 |
1.67 |
1.63 |
1.60 |
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Example: The 10% critical value for numerator df 2 and denominator df 40 is 2.44. Source: This table was generated using the Stata® function invfprob.
781
Appendix G |
Statistical Tables |
TABLE G.3b
5% Critical Values of the F Distribution
Numerator Degrees of Freedom
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
10 |
4.96 |
4.10 |
3.71 |
3.48 |
3.33 |
3.22 |
3.14 |
3.07 |
3.02 |
2.98 |
|
D |
11 |
4.84 |
3.98 |
3.59 |
3.36 |
3.20 |
3.09 |
3.01 |
2.95 |
2.90 |
2.85 |
|
12 |
4.75 |
3.89 |
3.49 |
3.26 |
3.11 |
3.00 |
2.91 |
2.85 |
2.80 |
2.75 |
||
e |
||||||||||||
13 |
4.67 |
3.81 |
3.41 |
3.18 |
3.03 |
2.92 |
2.83 |
2.77 |
2.71 |
2.67 |
||
n |
||||||||||||
o |
14 |
4.60 |
3.74 |
3.34 |
3.11 |
2.96 |
2.85 |
2.76 |
2.70 |
2.65 |
2.60 |
|
m |
|
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|
|
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|
|
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|
|
i |
15 |
4.54 |
3.68 |
3.29 |
3.06 |
2.90 |
2.79 |
2.71 |
2.64 |
2.59 |
2.54 |
|
n |
16 |
4.49 |
3.63 |
3.24 |
3.01 |
2.85 |
2.74 |
2.66 |
2.59 |
2.54 |
2.49 |
|
a |
||||||||||||
17 |
4.45 |
3.59 |
3.20 |
2.96 |
2.81 |
2.70 |
2.61 |
2.55 |
2.49 |
2.45 |
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t |
||||||||||||
18 |
4.41 |
3.55 |
3.16 |
2.93 |
2.77 |
2.66 |
2.58 |
2.51 |
2.46 |
2.41 |
||
o |
||||||||||||
r |
19 |
4.38 |
3.52 |
3.13 |
2.90 |
2.74 |
2.63 |
2.54 |
2.48 |
2.42 |
2.38 |
|
D |
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|
|
20 |
4.35 |
3.49 |
3.10 |
2.87 |
2.71 |
2.60 |
2.51 |
2.45 |
2.39 |
2.35 |
||
e |
21 |
4.32 |
3.47 |
3.07 |
2.84 |
2.68 |
2.57 |
2.49 |
2.42 |
2.37 |
2.32 |
|
g |
||||||||||||
22 |
4.30 |
3.44 |
3.05 |
2.82 |
2.66 |
2.55 |
2.46 |
2.40 |
2.34 |
2.30 |
||
r |
||||||||||||
23 |
4.28 |
3.42 |
3.03 |
2.80 |
2.64 |
2.53 |
2.44 |
2.37 |
2.32 |
2.27 |
||
e |
||||||||||||
e |
24 |
4.26 |
3.40 |
3.01 |
2.78 |
2.62 |
2.51 |
2.42 |
2.36 |
2.30 |
2.25 |
|
s |
|
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|
|
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|
|
|
|
|
|
25 |
4.24 |
3.39 |
2.99 |
2.76 |
2.60 |
2.49 |
2.40 |
2.34 |
2.28 |
2.24 |
||
o |
||||||||||||
26 |
4.23 |
3.37 |
2.98 |
2.74 |
2.59 |
2.47 |
2.39 |
2.32 |
2.27 |
2.22 |
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f |
||||||||||||
27 |
4.21 |
3.35 |
2.96 |
2.73 |
2.57 |
2.46 |
2.37 |
2.31 |
2.25 |
2.20 |
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||||||||||||
F |
28 |
4.20 |
3.34 |
2.95 |
2.71 |
2.56 |
2.45 |
2.36 |
2.29 |
2.24 |
2.19 |
|
r |
29 |
4.18 |
3.33 |
2.93 |
2.70 |
2.55 |
2.43 |
2.35 |
2.28 |
2.22 |
2.18 |
|
e |
|
|
|
|
|
|
|
|
|
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|
|
e |
30 |
4.17 |
3.32 |
2.92 |
2.69 |
2.53 |
2.42 |
2.33 |
2.27 |
2.21 |
2.16 |
|
d |
40 |
4.08 |
3.23 |
2.84 |
2.61 |
2.45 |
2.34 |
2.25 |
2.18 |
2.12 |
2.08 |
|
o |
||||||||||||
60 |
4.00 |
3.15 |
2.76 |
2.53 |
2.37 |
2.25 |
2.17 |
2.10 |
2.04 |
1.99 |
||
m |
||||||||||||
90 |
3.95 |
3.10 |
2.71 |
2.47 |
2.32 |
2.20 |
2.11 |
2.04 |
1.99 |
1.94 |
||
|
||||||||||||
|
120 |
3.92 |
3.07 |
2.68 |
2.45 |
2.29 |
2.17 |
2.09 |
2.02 |
1.96 |
1.91 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3.84 |
3.00 |
2.60 |
2.37 |
2.21 |
2.10 |
2.01 |
1.94 |
1.88 |
1.83 |
|
|
|
|
|
|
|
|
|
|
|
|
|
Example: The 5% critical value for numerator df 4 and large denominator df ( ) is 2.37. Source: This table was generated using the Stata® function invfprob.
782
Appendix G |
Statistical Tables |
TABLE G.3c
1% Critical Values of the F Distribution
Numerator Degrees of Freedom
|
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
10 |
10.04 |
7.56 |
6.55 |
5.99 |
5.64 |
5.39 |
5.20 |
5.06 |
4.94 |
4.85 |
|
D |
11 |
9.65 |
7.21 |
6.22 |
5.67 |
5.32 |
5.07 |
4.89 |
4.74 |
4.63 |
4.54 |
|
12 |
9.33 |
6.93 |
5.95 |
5.41 |
5.06 |
4.82 |
4.64 |
4.50 |
4.39 |
4.30 |
||
e |
13 |
9.07 |
6.70 |
5.74 |
5.21 |
4.86 |
4.62 |
4.44 |
4.30 |
4.19 |
4.10 |
|
n |
||||||||||||
14 |
8.86 |
6.51 |
5.56 |
5.04 |
4.69 |
4.46 |
4.28 |
4.14 |
4.03 |
3.94 |
||
o |
||||||||||||
m |
|
|
|
|
|
|
|
|
|
|
|
|
15 |
8.68 |
6.36 |
5.42 |
4.89 |
4.56 |
4.32 |
4.14 |
4.00 |
3.89 |
3.80 |
||
i |
||||||||||||
16 |
8.53 |
6.23 |
5.29 |
4.77 |
4.44 |
4.20 |
4.03 |
3.89 |
3.78 |
3.69 |
||
n |
||||||||||||
a |
17 |
8.40 |
6.11 |
5.18 |
4.67 |
4.34 |
4.10 |
3.93 |
3.79 |
3.68 |
3.59 |
|
t |
18 |
8.29 |
6.01 |
5.09 |
4.58 |
4.25 |
4.01 |
3.84 |
3.71 |
3.60 |
3.51 |
|
o |
||||||||||||
19 |
8.18 |
5.93 |
5.01 |
4.50 |
4.17 |
3.94 |
3.77 |
3.63 |
3.52 |
3.43 |
||
r |
||||||||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
D |
20 |
8.10 |
5.85 |
4.94 |
4.43 |
4.10 |
3.87 |
3.70 |
3.56 |
3.46 |
3.37 |
|
21 |
8.02 |
5.78 |
4.87 |
4.37 |
4.04 |
3.81 |
3.64 |
3.51 |
3.40 |
3.31 |
||
e |
||||||||||||
g |
22 |
7.95 |
5.72 |
4.82 |
4.31 |
3.99 |
3.76 |
3.59 |
3.45 |
3.35 |
3.26 |
|
r |
23 |
7.88 |
5.66 |
4.76 |
4.26 |
3.94 |
3.71 |
3.54 |
3.41 |
3.30 |
3.21 |
|
e |
||||||||||||
24 |
7.82 |
5.61 |
4.72 |
4.22 |
3.90 |
3.67 |
3.50 |
3.36 |
3.26 |
3.17 |
||
e |
||||||||||||
s |
|
|
|
|
|
|
|
|
|
|
|
|
25 |
7.77 |
5.57 |
4.68 |
4.18 |
3.85 |
3.63 |
3.46 |
3.32 |
3.22 |
3.13 |
||
|
||||||||||||
o |
26 |
7.72 |
5.53 |
4.64 |
4.14 |
3.82 |
3.59 |
3.42 |
3.29 |
3.18 |
3.09 |
|
f |
27 |
7.68 |
5.49 |
4.60 |
4.11 |
3.78 |
3.56 |
3.39 |
3.26 |
3.15 |
3.06 |
|
F |
28 |
7.64 |
5.45 |
4.57 |
4.07 |
3.75 |
3.53 |
3.36 |
3.23 |
3.12 |
3.03 |
|
29 |
7.60 |
5.42 |
4.54 |
4.04 |
3.73 |
3.50 |
3.33 |
3.20 |
3.09 |
3.00 |
||
r |
||||||||||||
e |
|
|
|
|
|
|
|
|
|
|
|
|
30 |
7.56 |
5.39 |
4.51 |
4.02 |
3.70 |
3.47 |
3.30 |
3.17 |
3.07 |
2.98 |
||
e |
||||||||||||
40 |
7.31 |
5.18 |
4.31 |
3.83 |
3.51 |
3.29 |
3.12 |
2.99 |
2.89 |
2.80 |
||
d |
||||||||||||
o |
60 |
7.08 |
4.98 |
4.13 |
3.65 |
3.34 |
3.12 |
2.95 |
2.82 |
2.72 |
2.63 |
|
m |
90 |
6.93 |
4.85 |
4.01 |
3.54 |
3.23 |
3.01 |
2.84 |
2.72 |
2.61 |
2.52 |
|
|
||||||||||||
|
120 |
6.85 |
4.79 |
3.95 |
3.48 |
3.17 |
2.96 |
2.79 |
2.66 |
2.56 |
2.47 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
6.63 |
4.61 |
3.78 |
3.32 |
3.02 |
2.80 |
2.64 |
2.51 |
2.41 |
2.32 |
|
|
|
|
|
|
|
|
|
|
|
|
|
Example: The 1% critical value for numerator df 3 and denominator df 60 is 4.13. Source: This table was generated using the Stata® function invfprob.
783
Appendix G |
Statistical Tables |
TABLE G.4
Critical Values of the Chi-Square Distribution
|
|
|
Significance Level |
||
|
|
|
|
|
|
|
|
.10 |
|
.05 |
.01 |
|
|
|
|
|
|
|
1 |
2.71 |
|
3.84 |
6.63 |
|
2 |
4.61 |
|
5.99 |
9.21 |
|
3 |
6.25 |
|
7.81 |
11.34 |
|
4 |
7.78 |
|
9.49 |
13.28 |
|
5 |
9.24 |
|
11.07 |
15.09 |
|
6 |
10.64 |
|
12.59 |
16.81 |
|
7 |
12.02 |
|
14.07 |
18.48 |
D |
8 |
13.36 |
|
15.51 |
20.09 |
9 |
14.68 |
|
16.92 |
21.67 |
|
e |
|
||||
g |
10 |
15.99 |
|
18.31 |
23.21 |
r |
11 |
17.28 |
|
19.68 |
24.72 |
e |
|
||||
e |
12 |
18.55 |
|
21.03 |
26.22 |
s |
13 |
19.81 |
|
22.36 |
27.69 |
o |
14 |
21.06 |
|
23.68 |
29.14 |
15 |
22.31 |
|
25.00 |
30.58 |
|
f |
|
||||
16 |
23.54 |
|
26.30 |
32.00 |
|
F |
|
||||
17 |
24.77 |
|
27.59 |
33.41 |
|
r |
|
||||
18 |
25.99 |
|
28.87 |
34.81 |
|
e |
|
||||
e |
19 |
27.20 |
|
30.14 |
36.19 |
d |
20 |
28.41 |
|
31.41 |
37.57 |
o |
|
|
|
|
|
21 |
29.62 |
|
32.67 |
38.93 |
|
m |
|
||||
|
22 |
30.81 |
|
33.92 |
40.29 |
|
23 |
32.01 |
|
35.17 |
41.64 |
|
24 |
33.20 |
|
36.42 |
42.98 |
|
25 |
34.38 |
|
37.65 |
44.31 |
|
26 |
35.56 |
|
38.89 |
45.64 |
|
27 |
36.74 |
|
40.11 |
46.96 |
|
28 |
37.92 |
|
41.34 |
48.28 |
|
29 |
39.09 |
|
42.56 |
49.59 |
|
30 |
40.26 |
|
43.77 |
50.89 |
Example: The 5% critical value with df 8 is 15.51.
Source: This table was generated using the Stata® function invchi.
784
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