8/13/2019 F TestTable

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Critical values for t

tcritcalculator

Enter the degrees of freedom (n-1) and level of significance

The critical values will show up below

Degrees of freedom = 1

Level of significance = 0.05

tcrit1-tail = 6.314

tcrit2-tail = 12.706

t Distribution Statistical Tables

Two-tail test One-tail test

Degrees of Level of Significance Level of Significan

Freedom 0.10% 0.50% 1.00% 2.50% 5.00% 1 0.00% 0.10% 0.50% 1.00% 2.50%

1 636.619 127.321 63.657 25.452 12.706 6.314 318.309 63.657 31.821 12.706 2 31.599 14.089 9.925 6.205 4.303 2.920 22.327 9.925 6.965 4.303

3 12.924 7.453 5.841 4.177 3.182 2.353 10.215 5.841 4.541 3.182

4 8.610 5.598 4.604 3.495 2.776 2.132 7.173 4.604 3.747 2.776

5 6.869 4.773 4.032 3.163 2.571 2.015 5.893 4.032 3.365 2.571

6 5.959 4.317 3.707 2.969 2.447 1.943 5.208 3.707 3.143 2.447

7 5.408 4.029 3.499 2.841 2.365 1.895 4.785 3.499 2.998 2.365

8 5.041 3.833 3.355 2.752 2.306 1.860 4.501 3.355 2.896 2.306

9 4.781 3.690 3.250 2.685 2.262 1.833 4.297 3.250 2.821 2.262

10 4.587 3.581 3.169 2.634 2.228 1.812 4.144 3.169 2.764 2.228

11 4.437 3.497 3.106 2.593 2.201 1.796 4.025 3.106 2.718 2.201

12 4.318 3.428 3.055 2.560 2.179 1.782 3.930 3.055 2.681 2.179

13 4.221 3.372 3.012 2.533 2.160 1.771 3.852 3.012 2.650 2.160

14

4.140 3.326 2.977 2.510 2.145 1.761 3.787 2.977 2.624 2.145 15 4.073 3.286 2.947 2.490 2.131 1.753 3.733 2.947 2.602 2.131

16 4.015 3.252 2.921 2.473 2.120 1.746 3.686 2.921 2.583 2.120

17 3.965 3.222 2.898 2.458 2.110 1.740 3.646 2.898 2.567 2.110

18 3.922 3.197 2.878 2.445 2.101 1.734 3.610 2.878 2.552 2.101

19 3.883 3.174 2.861 2.433 2.093 1.729 3.579 2.861 2.539 2.093

20 3.850 3.153 2.845 2.423 2.086 1.725 3.552 2.845 2.528 2.086

21 3.819 3.135 2.831 2.414 2.080 1.721 3.527 2.831 2.518 2.080

22 3.792 3.119 2.819 2.405 2.074 1.717 3.505 2.819 2.508 2.074

23 3.768 3.104 2.807 2.398 2.069 1.714 3.485 2.807 2.500 2.069

24 3.745 3.091 2.797 2.391 2.064 1.711 3.467 2.797 2.492 2.064

25 3.725 3.078 2.787 2.385 2.060 1.708 3.450 2.787 2.485 2.060

26 3.707 3.067 2.779 2.379 2.056 1.706 3.435 2.779 2.479 2.056

27 3.690 3.057 2.771 2.373 2.052 1.703 3.421 2.771 2.473 2.052 28 3.674 3.047 2.763 2.368 2.048 1.701 3.408 2.763 2.467 2.048

29 3.659 3.038 2.756 2.364 2.045 1.699 3.396 2.756 2.462 2.045

30 3.646 3.030 2.750 2.360 2.042 1.697 3.385 2.750 2.457 2.042

40 3.551 2.971 2.704 2.329 2.021 1.684 3.307 2.704 2.423 2.021

50 3.496 2.937 2.678 2.311 2.009 1.676 3.261 2.678 2.403 2.009

60 3.460 2.915 2.660 2.299 2.000 1.671 3.232 2.660 2.390 2.000

70 3.435 2.899 2.648 2.291 1.994 1.667 3.211 2.648 2.381 1.994

80 3.416 2.887 2.639 2.284 1.990 1.664 3.195 2.639 2.374 1.990

90 3.402 2.878 2.632 2.280 1.987 1.662 3.183 2.632 2.368 1.987

100 3.390 2.871 2.626 2.276 1.984 1.660 3.174 2.626 2.364 1.984

110 3.381 2.865 2.621 2.272 1.982 1.659 3.166 2.621 2.361 1.982

120 3.373 2.860 2.617 2.270 1.980 1.658 3.160 2.617 2.358 1.980

130 3.367 2.856 2.614 2.268 1.978 1.657 3.154 2.614 2.355 1.978 140 3.361 2.852 2.611 2.266 1.977 1.656 3.149 2.611 2.353 1.977

150 3.357 2.849 2.609 2.264 1.976 1.655 3.145 2.609 2.351 1.976

8/13/2019 F TestTable

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Critical values for F

Fcritcalculator

Enter the degrees of freedom for each variable and level of significance

The critical values will show up below

Level of significance = 0.05

Denominator DOF = 459

Numerator DOF = 5

Fcrit1-tail = 2.234 --> Computes the F critical value based on the level of significance and DOF entered above

F Distribution Statistical Tables

Enter desired significance level (a): 0.05 --> Computes values for the table below based on the significance level entered here

Denominator

Degrees of Numerator Degrees of FreedomFreedom 1 2 3 4 5 6 7 8 9 10 11

1 161.448 199.500 215.707 224.583 230.162 233.986 236.768 238.883 240.543 241.882 242.983

2 18.513 19.000 19.164 19.247 19.296 19.330 19.353 19.371 19.385 19.396 19.405

3 10.128 9.552 9.277 9.117 9.013 8.941 8.887 8.845 8.812 8.786 8.763

4 7.709 6.944 6.591 6.388 6.256 6.163 6.094 6.041 5.999 5.964 5.936

5 6.608 5.786 5.409 5.192 5.050 4.950 4.876 4.818 4.772 4.735 4.704

6 5.987 5.143 4.757 4.534 4.387 4.284 4.207 4.147 4.099 4.060 4.027

7 5.591 4.737 4.347 4.120 3.972 3.866 3.787 3.726 3.677 3.637 3.603

8 5.318 4.459 4.066 3.838 3.687 3.581 3.500 3.438 3.388 3.347 3.313

9 5.117 4.256 3.863 3.633 3.482 3.374 3.293 3.230 3.179 3.137 3.102

10 4.965 4.103 3.708 3.478 3.326 3.217 3.135 3.072 3.020 2.978 2.943

11 4.844 3.982 3.587 3.357 3.204 3.095 3.012 2.948 2.896 2.854 2.818

12 4.747 3.885 3.490 3.259 3.106 2.996 2.913 2.849 2.796 2.753 2.717

13 4.667 3.806 3.411 3.179 3.025 2.915 2.832 2.767 2.714 2.671 2.635

14 4.600 3.739 3.344 3.112 2.958 2.848 2.764 2.699 2.646 2.602 2.565

15 4.543 3.682 3.287 3.056 2.901 2.790 2.707 2.641 2.588 2.544 2.507

16 4.494 3.634 3.239 3.007 2.852 2.741 2.657 2.591 2.538 2.494 2.456

17 4.451 3.592 3.197 2.965 2.810 2.699 2.614 2.548 2.494 2.450 2.413

18 4.414 3.555 3.160 2.928 2.773 2.661 2.577 2.510 2.456 2.412 2.374

19 4.381 3.522 3.127 2.895 2.740 2.628 2.544 2.477 2.423 2.378 2.340

20 4.351 3.493 3.098 2.866 2.711 2.599 2.514 2.447 2.393 2.348 2.310

21 4.325 3.467 3.072 2.840 2.685 2.573 2.488 2.420 2.366 2.321 2.283

22 4.301 3.443 3.049 2.817 2.661 2.549 2.464 2.397 2.342 2.297 2.259

23 4.279 3.422 3.028 2.796 2.640 2.528 2.442 2.375 2.320 2.275 2.236

24 4.260 3.403 3.009 2.776 2.621 2.508 2.423 2.355 2.300 2.255 2.216

25 4.242 3.385 2.991 2.759 2.603 2.490 2.405 2.337 2.282 2.236 2.198

26 4.225 3.369 2.975 2.743 2.587 2.474 2.388 2.321 2.265 2.220 2.181

27 4.210 3.354 2.960 2.728 2.572 2.459 2.373 2.305 2.250 2.204 2.166

28 4.196 3.340 2.947 2.714 2.558 2.445 2.359 2.291 2.236 2.190 2.151

29 4.183 3.328 2.934 2.701 2.545 2.432 2.346 2.278 2.223 2.177 2.138

30 4.171 3.316 2.922 2.690 2.534 2.421 2.334 2.266 2.211 2.165 2.126

40 4.085 3.232 2.839 2.606 2.449 2.336 2.249 2.180 2.124 2.077 2.038

50 4.034 3.183 2.790 2.557 2.400 2.286 2.199 2.130 2.073 2.026 1.986

60 4.001 3.150 2.758 2.525 2.368 2.254 2.167 2.097 2.040 1.993 1.952

70 3.978 3.128 2.736 2.503 2.346 2.231 2.143 2.074 2.017 1.969 1.928

80 3.960 3.111 2.719 2.486 2.329 2.214 2.126 2.056 1.999 1.951 1.910

90 3.947 3.098 2.706 2.473 2.316 2.201 2.113 2.043 1.986 1.938 1.897

10 0 3.936 3.087 2.696 2.463 2.305 2.191 2.103 2.032 1.975 1.927 1.886

11 0 3.927 3.079 2.687 2.454 2.297 2.182 2.094 2.024 1.966 1.918 1.877 12 0 3.920 3.072 2.680 2.447 2.290 2.175 2.087 2.016 1.959 1.910 1.869

13 0 3.914 3.066 2.674 2.441 2.284 2.169 2.081 2.010 1.953 1.904 1.863

14 0 3 909 3 061 2 669 2 436 2 279 2 164 2 076 2 005 1 947 1 899 1 858

8/13/2019 F TestTable

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Critical values for c2

2critcalculatorEnter the degrees of freedom (n-1) and level of significance

The critical values will show up below

Degrees of freedom = 1

Level of significance = 0.05

c crit= 3.841

2Distribution Statistical TablesDegrees of Significance Level (a)

Freedom 1% 3% 5% 10% 20%

1 6.635 5.024 3.841 2.706 1.642

2 9.210 7.378 5.991 4.605 3.219

3 11.345 9.348 7.815 6.251 4.642

4 13.277 11.143 9.488 7.779 5.9895 15.086 12.833 11.070 9.236 7.289

6 16.812 14.449 12.592 10.645 8.558

7 18.475 16.013 14.067 12.017 9.803

8 20.090 17.535 15.507 13.362 11.030

9 21.666 19.023 16.919 14.684 12.242

10 23.209 20.483 18.307 15.987 13.442

11 24.725 21.920 19.675 17.275 14.631

12 26.217 23.337 21.026 18.549 15.812

13 27.688 24.736 22.362 19.812 16.985

14 29.141 26.119 23.685 21.064 18.151

15 30.578 27.488 24.996 22.307 19.311

16 32.000 28.845 26.296 23.542 20.46517 33.409 30.191 27.587 24.769 21.615

18 34.805 31.526 28.869 25.989 22.760

19 36.191 32.852 30.144 27.204 23.900

20 37.566 34.170 31.410 28.412 25.038

21 38.932 35.479 32.671 29.615 26.171

22 40.289 36.781 33.924 30.813 27.301

23 41.638 38.076 35.172 32.007 28.429

24 42.980 39.364 36.415 33.196 29.553

25 44.314 40.646 37.652 34.382 30.675

26 45.642 41.923 38.885 35.563 31.795

27 46.963 43.195 40.113 36.741 32.912

28 48.278 44.461 41.337 37.916 34.027

29 49.588 45.722 42.557 39.087 35.139

30 50.892 46.979 43.773 40.256 36.250

40 63.691 59.342 55.758 51.805 47.269

50 76.154 71.420 67.505 63.167 58.164

60 88.379 83.298 79.082 74.397 68.972

70 100.425 95.023 90.531 85.527 79.715

80 112.329 106.629 101.879 96.578 90.405

90 124.116 118.136 113.145 107.565 101.054

100 135.807 129.561 124.342 118.498 111.667