Töflur

T.1: Stöðluð normaldreifing - z-gildi

Mynd

Taflan gefur gildi á \(\Phi\), það er líkurnar á að \(Z\) taki gildi sem er minna en \(z\), þar sem \(Z\) fylgir staðlaðri normaldreifingu, sem við munum er normaldreifingu með meðaltal 0 og staðalfrávik 1. Vinstra megin í töflunni er talið upp gildi \(\Phi\) miðað við neikvætt gildi á \(z\), meðan hægra megin í töfluna er talið upp gildi \(\Phi\) miðað við jákvætt gildi á \(z\).

\(\mathbf{z}\) \(\Phi(\mathbf{z})\)   \(\mathbf{z}\) \(\Phi(\mathbf{z})\)
0.00 0.5000   0.00 0.5000
-0.01 0.4960   0.01 0.5040
-0.02 0.4920   0.02 0.5080
-0.03 0.4880   0.03 0.5120
-0.04 0.4840   0.04 0.5160
-0.05 0.4801   0.05 0.5199
-0.06 0.4761   0.06 0.5239
-0.07 0.4721   0.07 0.5279
-0.08 0.4681   0.08 0.5319
-0.09 0.4641   0.09 0.5359
-0.10 0.4602   0.10 0.5398
-0.11 0.4562   0.11 0.5438
-0.12 0.4522   0.12 0.5478
-0.13 0.4483   0.13 0.5517
-0.14 0.4443   0.14 0.5557
-0.15 0.4404   0.15 0.5596
-0.16 0.4364   0.16 0.5636
-0.17 0.4325   0.17 0.5675
-0.18 0.4286   0.18 0.5714
-0.19 0.4247   0.19 0.5753
-0.20 0.4207   0.20 0.5793
-0.21 0.4168   0.21 0.5832
-0.22 0.4129   0.22 0.5871
-0.23 0.4090   0.23 0.5910
-0.24 0.4052   0.24 0.5948
-0.25 0.4013   0.25 0.5987
-0.26 0.3974   0.26 0.6026
-0.27 0.3936   0.27 0.6064
-0.28 0.3897   0.28 0.6103
-0.29 0.3859   0.29 0.6141
-0.30 0.3821   0.30 0.6179
-0.31 0.3783   0.31 0.6217
-0.32 0.3745   0.32 0.6255
-0.33 0.3707   0.33 0.6293
-0.34 0.3669   0.34 0.6331
-0.35 0.3632   0.35 0.6368
-0.36 0.3594   0.36 0.6406
-0.37 0.3557   0.37 0.6443
-0.38 0.3520   0.38 0.6480
-0.39 0.3483   0.39 0.6517
-0.40 0.3446   0.40 0.6554
-0.41 0.3409   0.41 0.6591
-0.42 0.3372   0.42 0.6628
-0.43 0.3336   0.43 0.6664
-0.44 0.3300   0.44 0.6700
-0.45 0.3264   0.45 0.6736
-0.46 0.3228   0.46 0.6772
-0.47 0.3192   0.47 0.6808
-0.48 0.3156   0.48 0.6844
-0.49 0.3121   0.49 0.6879
-0.50 0.3085   0.50 0.6915
-0.51 0.3050   0.51 0.6950
-0.52 0.3015   0.52 0.6985
-0.53 0.2981   0.53 0.7019
-0.54 0.2946   0.54 0.7054
-0.55 0.2912   0.55 0.7088
-0.56 0.2877   0.56 0.7123
-0.57 0.2843   0.57 0.7157
-0.58 0.2810   0.58 0.7190
-0.59 0.2776   0.59 0.7224
-0.60 0.2743   0.60 0.7257
-0.61 0.2709   0.61 0.7291
-0.62 0.2676   0.62 0.7324
-0.63 0.2643   0.63 0.7357
-0.64 0.2611   0.64 0.7389
-0.65 0.2578   0.65 0.7422
-0.66 0.2546   0.66 0.7454
-0.67 0.2514   0.67 0.7486
-0.68 0.2483   0.68 0.7517
-0.69 0.2451   0.69 0.7549
-0.70 0.2420   0.70 0.7580
-0.71 0.2389   0.71 0.7611
-0.72 0.2358   0.72 0.7642
-0.73 0.2327   0.73 0.7673
-0.74 0.2296   0.74 0.7704
-0.75 0.2266   0.75 0.7734
-0.76 0.2236   0.76 0.7764
-0.77 0.2206   0.77 0.7794
-0.78 0.2177   0.78 0.7823
-0.79 0.2148   0.79 0.7852
-0.80 0.2119   0.80 0.7881
-0.81 0.2090   0.81 0.7910
-0.82 0.2061   0.82 0.7939
-0.83 0.2033   0.83 0.7967
-0.84 0.2005   0.84 0.7995
-0.85 0.1977   0.85 0.8023
-0.86 0.1949   0.86 0.8051
-0.87 0.1922   0.87 0.8078
-0.88 0.1894   0.88 0.8106
-0.89 0.1867   0.89 0.8133
-0.90 0.1841   0.90 0.8159
-0.91 0.1814   0.91 0.8186
-0.92 0.1788   0.92 0.8212
-0.93 0.1762   0.93 0.8238
-0.94 0.1736   0.94 0.8264
-0.95 0.1711   0.95 0.8289
-0.96 0.1685   0.96 0.8315
-0.97 0.1660   0.97 0.8340
-0.98 0.1635   0.98 0.8365
-0.99 0.1611   0.99 0.8389
-1.00 0.1587   1.00 0.8413
-1.01 0.1562   1.01 0.8438
-1.02 0.1539   1.02 0.8461
-1.03 0.1515   1.03 0.8485
-1.04 0.1492   1.04 0.8508
-1.05 0.1469   1.05 0.8531
-1.06 0.1446   1.06 0.8554
-1.07 0.1423   1.07 0.8577
-1.08 0.1401   1.08 0.8599
-1.09 0.1379   1.09 0.8621
-1.10 0.1357   1.10 0.8643
-1.11 0.1335   1.11 0.8665
-1.12 0.1314   1.12 0.8686
-1.13 0.1292   1.13 0.8708
-1.14 0.1271   1.14 0.8729
-1.15 0.1251   1.15 0.8749
-1.16 0.1230   1.16 0.8770
-1.17 0.1210   1.17 0.8790
-1.18 0.1190   1.18 0.8810
-1.19 0.1170   1.19 0.8830
-1.20 0.1151   1.20 0.8849
-1.21 0.1131   1.21 0.8869
-1.22 0.1112   1.22 0.8888
-1.23 0.1093   1.23 0.8907
-1.24 0.1075   1.24 0.8925
-1.25 0.1056   1.25 0.8944
-1.26 0.1038   1.26 0.8962
-1.27 0.1020   1.27 0.8980
-1.28 0.1003   1.28 0.8997
-1.29 0.0985   1.29 0.9015
-1.30 0.0968   1.30 0.9032
-1.31 0.0951   1.31 0.9049
-1.32 0.0934   1.32 0.9066
-1.33 0.0918   1.33 0.9082
-1.34 0.0901   1.34 0.9099
-1.35 0.0885   1.35 0.9115
-1.36 0.0869   1.36 0.9131
-1.37 0.0853   1.37 0.9147
-1.38 0.0838   1.38 0.9162
-1.39 0.0823   1.39 0.9177
-1.40 0.0808   1.40 0.9192
-1.41 0.0793   1.41 0.9207
-1.42 0.0778   1.42 0.9222
-1.43 0.0764   1.43 0.9236
-1.44 0.0749   1.44 0.9251
-1.45 0.0735   1.45 0.9265
-1.46 0.0721   1.46 0.9279
-1.47 0.0708   1.47 0.9292
-1.48 0.0694   1.48 0.9306
-1.49 0.0681   1.49 0.9319
-1.50 0.0668   1.50 0.9332
-1.51 0.0655   1.51 0.9345
-1.52 0.0643   1.52 0.9357
-1.53 0.0630   1.53 0.9370
-1.54 0.0618   1.54 0.9382
-1.55 0.0606   1.55 0.9394
-1.56 0.0594   1.56 0.9406
-1.57 0.0582   1.57 0.9418
-1.58 0.0571   1.58 0.9429
-1.59 0.0559   1.59 0.9441
-1.60 0.0548   1.60 0.9452
-1.61 0.0537   1.61 0.9463
-1.62 0.0526   1.62 0.9474
-1.63 0.0516   1.63 0.9484
-1.64 0.0505   1.64 0.9495
-1.65 0.0495   1.65 0.9505
-1.66 0.0485   1.66 0.9515
-1.67 0.0475   1.67 0.9525
-1.68 0.0465   1.68 0.9535
-1.69 0.0455   1.69 0.9545
-1.70 0.0446   1.70 0.9554
-1.71 0.0436   1.71 0.9564
-1.72 0.0427   1.72 0.9573
-1.73 0.0418   1.73 0.9582
-1.74 0.0409   1.74 0.9591
-1.75 0.0401   1.75 0.9599
-1.76 0.0392   1.76 0.9608
-1.77 0.0384   1.77 0.9616
-1.78 0.0375   1.78 0.9625
-1.79 0.0367   1.79 0.9633
-1.80 0.0359   1.80 0.9641
-1.81 0.0351   1.81 0.9649
-1.82 0.0344   1.82 0.9656
-1.83 0.0336   1.83 0.9664
-1.84 0.0329   1.84 0.9671
-1.85 0.0322   1.85 0.9678
-1.86 0.0314   1.86 0.9686
-1.87 0.0307   1.87 0.9693
-1.88 0.0301   1.88 0.9699
-1.89 0.0294   1.89 0.9706
-1.90 0.0287   1.90 0.9713
-1.91 0.0281   1.91 0.9719
-1.92 0.0274   1.92 0.9726
-1.93 0.0268   1.93 0.9732
-1.94 0.0262   1.94 0.9738
-1.95 0.0256   1.95 0.9744
-1.96 0.0250   1.96 0.9750
-1.97 0.0244   1.97 0.9756
-1.98 0.0239   1.98 0.9761
-1.99 0.0233   1.99 0.9767
-2.00 0.0228   2.00 0.9772
-2.01 0.0222   2.01 0.9778
-2.02 0.0217   2.02 0.9783
-2.03 0.0212   2.03 0.9788
-2.04 0.0207   2.04 0.9793
-2.05 0.0202   2.05 0.9798
-2.06 0.0197   2.06 0.9803
-2.07 0.0192   2.07 0.9808
-2.08 0.0188   2.08 0.9812
-2.09 0.0183   2.09 0.9817
-2.10 0.0179   2.10 0.9821
-2.11 0.0174   2.11 0.9826
-2.12 0.0170   2.12 0.9830
-2.13 0.0166   2.13 0.9834
-2.14 0.0162   2.14 0.9838
-2.15 0.0158   2.15 0.9842
-2.16 0.0154   2.16 0.9846
-2.17 0.0150   2.17 0.9850
-2.18 0.0146   2.18 0.9854
-2.19 0.0143   2.19 0.9857
-2.20 0.0139   2.20 0.9861
-2.21 0.0136   2.21 0.9864
-2.22 0.0132   2.22 0.9868
-2.23 0.0129   2.23 0.9871
-2.24 0.0125   2.24 0.9875
-2.25 0.0122   2.25 0.9878
-2.26 0.0119   2.26 0.9881
-2.27 0.0116   2.27 0.9884
-2.28 0.0113   2.28 0.9887
-2.29 0.0110   2.29 0.9890
-2.30 0.0107   2.30 0.9893
-2.31 0.0104   2.31 0.9896
-2.32 0.0102   2.32 0.9898
-2.33 0.0099   2.33 0.9901
-2.34 0.0096   2.34 0.9904
-2.35 0.0094   2.35 0.9906
-2.36 0.0091   2.36 0.9909
-2.37 0.0089   2.37 0.9911
-2.38 0.0087   2.38 0.9913
-2.39 0.0084   2.39 0.9916
-2.40 0.0082   2.40 0.9918
-2.41 0.0080   2.41 0.9920
-2.42 0.0078   2.42 0.9922
-2.43 0.0075   2.43 0.9925
-2.44 0.0073   2.44 0.9927
-2.45 0.0071   2.45 0.9929
-2.46 0.0069   2.46 0.9931
-2.47 0.0068   2.47 0.9932
-2.48 0.0066   2.48 0.9934
-2.49 0.0064   2.49 0.9936
-2.50 0.0062   2.50 0.9938
-2.51 0.0060   2.51 0.9940
-2.52 0.0059   2.52 0.9941
-2.53 0.0057   2.53 0.9943
-2.54 0.0055   2.54 0.9945
-2.55 0.0054   2.55 0.9946
-2.56 0.0052   2.56 0.9948
-2.57 0.0051   2.57 0.9949
-2.58 0.0049   2.58 0.9951
-2.59 0.0048   2.59 0.9952
-2.60 0.0047   2.60 0.9953
-2.61 0.0045   2.61 0.9955
-2.62 0.0044   2.62 0.9956
-2.63 0.0043   2.63 0.9957
-2.64 0.0041   2.64 0.9959
-2.65 0.0040   2.65 0.9960
-2.66 0.0039   2.66 0.9961
-2.67 0.0038   2.67 0.9962
-2.68 0.0037   2.68 0.9963
-2.69 0.0036   2.69 0.9964
-2.70 0.0035   2.70 0.9965
-2.71 0.0034   2.71 0.9966
-2.72 0.0033   2.72 0.9967
-2.73 0.0032   2.73 0.9968
-2.74 0.0031   2.74 0.9969
-2.75 0.0030   2.75 0.9970
-2.76 0.0029   2.76 0.9971
-2.77 0.0028   2.77 0.9972
-2.78 0.0027   2.78 0.9973
-2.79 0.0026   2.79 0.9974
-2.80 0.0026   2.80 0.9974
-2.81 0.0025   2.81 0.9975
-2.82 0.0024   2.82 0.9976
-2.83 0.0023   2.83 0.9977
-2.84 0.0023   2.84 0.9977
-2.85 0.0022   2.85 0.9978
-2.86 0.0021   2.86 0.9979
-2.87 0.0021   2.87 0.9979
-2.88 0.0020   2.88 0.9980
-2.89 0.0019   2.89 0.9981
-2.90 0.0019   2.90 0.9981
-2.91 0.0018   2.91 0.9982
-2.92 0.0018   2.92 0.9982
-2.93 0.0017   2.93 0.9983
-2.94 0.0016   2.94 0.9984
-2.95 0.0016   2.95 0.9984
-2.96 0.0015   2.96 0.9985
-2.97 0.0015   2.97 0.9985
-2.98 0.0014   2.98 0.9986
-2.99 0.0014   2.99 0.9986
-3.00 0.0013   3.00 0.9987
-3.01 0.0013   3.01 0.9987
-3.02 0.0013   3.02 0.9987
-3.03 0.0012   3.03 0.9988
-3.04 0.0012   3.04 0.9988
-3.05 0.0011   3.05 0.9989
-3.06 0.0011   3.06 0.9989
-3.07 0.0011   3.07 0.9989
-3.08 0.0010   3.08 0.9990
-3.09 0.0010   3.09 0.9990
-3.10 0.0010   3.10 0.9990
-3.11 0.0009   3.11 0.9991
-3.12 0.0009   3.12 0.9991
-3.13 0.0009   3.13 0.9991
-3.14 0.0008   3.14 0.9992
-3.15 0.0008   3.15 0.9992
-3.16 0.0008   3.16 0.9992
-3.17 0.0008   3.17 0.9992
-3.18 0.0007   3.18 0.9993
-3.19 0.0007   3.19 0.9993
-3.20 0.0007   3.20 0.9993
-3.21 0.0007   3.21 0.9993
-3.22 0.0006   3.22 0.9994
-3.23 0.0006   3.23 0.9994
-3.24 0.0006   3.24 0.9994
-3.25 0.0006   3.25 0.9994
-3.26 0.0006   3.26 0.9994
-3.27 0.0005   3.27 0.9995
-3.28 0.0005   3.28 0.9995
-3.29 0.0005   3.29 0.9995
-3.30 0.0005   3.30 0.9995
-3.31 0.0005   3.31 0.9995
-3.32 0.0005   3.32 0.9995
-3.33 0.0004   3.33 0.9996
-3.34 0.0004   3.34 0.9996
-3.35 0.0004   3.35 0.9996
-3.36 0.0004   3.36 0.9996
-3.37 0.0004   3.37 0.9996
-3.38 0.0004   3.38 0.9996
-3.39 0.0003   3.39 0.9997
-3.40 0.0003   3.40 0.9997
-3.41 0.0003   3.41 0.9997
-3.42 0.0003   3.42 0.9997
-3.43 0.0003   3.43 0.9997
-3.44 0.0003   3.44 0.9997
-3.45 0.0003   3.45 0.9997
-3.46 0.0003   3.46 0.9997
-3.47 0.0003   3.47 0.9997
-3.48 0.0003   3.48 0.9997
-3.49 0.0002   3.49 0.9998
-3.50 0.0002   3.50 0.9998

T.2: t-dreifing

Mynd

Taflan gefur \(t_{a}\). Um \(t_{a}\) gildir að slembistærð sem fylgir \(t\)-dreifingu með \(k\) frígráður hefur líkurnar \(a\) að taka gildi sem er minna en \(t_a\).

\(a=\) 0.75 0.80 0.85 0.90 0.95 0.975 0.99 0.995 0.999 0.9995
\(k\)                    
1 1 1.376 1.963 3.078 6.314 12.71 31.82 63.66 318.3 636.6
2 0.8165 1.061 1.386 1.886 2.92 4.303 6.965 9.925 22.33 31.6
3 0.7649 0.9785 1.25 1.638 2.353 3.182 4.541 5.841 10.21 12.92
4 0.7407 0.941 1.19 1.533 2.132 2.776 3.747 4.604 7.173 8.61
5 0.7267 0.9195 1.156 1.476 2.015 2.571 3.365 4.032 5.893 6.869
6 0.7176 0.9057 1.134 1.44 1.943 2.447 3.143 3.707 5.208 5.959
7 0.7111 0.896 1.119 1.415 1.895 2.365 2.998 3.499 4.785 5.408
8 0.7064 0.8889 1.108 1.397 1.86 2.306 2.896 3.355 4.501 5.041
9 0.7027 0.8834 1.1 1.383 1.833 2.262 2.821 3.25 4.297 4.781
10 0.6998 0.8791 1.093 1.372 1.812 2.228 2.764 3.169 4.144 4.587
11 0.6974 0.8755 1.088 1.363 1.796 2.201 2.718 3.106 4.025 4.437
12 0.6955 0.8726 1.083 1.356 1.782 2.179 2.681 3.055 3.93 4.318
13 0.6938 0.8702 1.079 1.35 1.771 2.16 2.65 3.012 3.852 4.221
14 0.6924 0.8681 1.076 1.345 1.761 2.145 2.624 2.977 3.787 4.14
15 0.6912 0.8662 1.074 1.341 1.753 2.131 2.602 2.947 3.733 4.073
16 0.6901 0.8647 1.071 1.337 1.746 2.12 2.583 2.921 3.686 4.015
17 0.6892 0.8633 1.069 1.333 1.74 2.11 2.567 2.898 3.646 3.965
18 0.6884 0.862 1.067 1.33 1.734 2.101 2.552 2.878 3.61 3.922
19 0.6876 0.861 1.066 1.328 1.729 2.093 2.539 2.861 3.579 3.883
20 0.687 0.86 1.064 1.325 1.725 2.086 2.528 2.845 3.552 3.85
21 0.6864 0.8591 1.063 1.323 1.721 2.08 2.518 2.831 3.527 3.819
22 0.6858 0.8583 1.061 1.321 1.717 2.074 2.508 2.819 3.505 3.792
23 0.6853 0.8575 1.06 1.319 1.714 2.069 2.5 2.807 3.485 3.768
24 0.6848 0.8569 1.059 1.318 1.711 2.064 2.492 2.797 3.467 3.745
25 0.6844 0.8562 1.058 1.316 1.708 2.06 2.485 2.787 3.45 3.725
26 0.684 0.8557 1.058 1.315 1.706 2.056 2.479 2.779 3.435 3.707
27 0.6837 0.8551 1.057 1.314 1.703 2.052 2.473 2.771 3.421 3.69
28 0.6834 0.8546 1.056 1.313 1.701 2.048 2.467 2.763 3.408 3.674
29 0.683 0.8542 1.055 1.311 1.699 2.045 2.462 2.756 3.396 3.659
30 0.6828 0.8538 1.055 1.31 1.697 2.042 2.457 2.75 3.385 3.646
32 0.6822 0.853 1.054 1.309 1.694 2.037 2.449 2.738 3.365 3.622
34 0.6818 0.8523 1.052 1.307 1.691 2.032 2.441 2.728 3.348 3.601
36 0.6814 0.8517 1.052 1.306 1.688 2.028 2.434 2.719 3.333 3.582
38 0.681 0.8512 1.051 1.304 1.686 2.024 2.429 2.712 3.319 3.566
40 0.6807 0.8507 1.05 1.303 1.684 2.021 2.423 2.704 3.307 3.551
50 0.6794 0.8489 1.047 1.299 1.676 2.009 2.403 2.678 3.261 3.496
60 0.6786 0.8477 1.045 1.296 1.671 2 2.39 2.66 3.232 3.46
100 0.677 0.8452 1.042 1.29 1.66 1.984 2.364 2.626 3.174 3.39
120 0.6765 0.8446 1.041 1.289 1.658 1.98 2.358 2.617 3.16 3.373

T.3: \(\chi^2\)-dreifing

Mynd

Taflan gefur \(\chi^2_{a}\). Um \(\chi^2_{a}\) gildir að slembistærð sem fylgir \(\chi^2\)-dreifingu með \(k\) frígráður hefur líkurnar \(a\) að taka gildi sem er minna en \(\chi^2_a\).

\(a=\) 0.005 0.01 0.025 0.05 0.95 0.975 0.99 0.995
\(k\)                
1 0.0000393 0.000157 0.000982 0.00393 3.841 5.024 6.635 7.879
2 0.0100 0.0201 0.05064 0.1026 5.991 7.378 9.21 10.6
3 0.0717 0.1148 0.2158 0.3518 7.815 9.348 11.34 12.84
4 0.207 0.2971 0.4844 0.7107 9.488 11.14 13.28 14.86
5 0.4117 0.5543 0.8312 1.145 11.07 12.83 15.09 16.75
6 0.6757 0.8721 1.237 1.635 12.59 14.45 16.81 18.55
7 0.9893 1.239 1.69 2.167 14.07 16.01 18.48 20.28
8 1.344 1.646 2.18 2.733 15.51 17.53 20.09 21.95
9 1.735 2.088 2.7 3.325 16.92 19.02 21.67 23.59
10 2.156 2.558 3.247 3.94 18.31 20.48 23.21 25.19
11 2.603 3.053 3.816 4.575 19.68 21.92 24.72 26.76
12 3.074 3.571 4.404 5.226 21.03 23.34 26.22 28.3
13 3.565 4.107 5.009 5.892 22.36 24.74 27.69 29.82
14 4.075 4.66 5.629 6.571 23.68 26.12 29.14 31.32
15 4.601 5.229 6.262 7.261 25 27.49 30.58 32.8
16 5.142 5.812 6.908 7.962 26.3 28.85 32 34.27
17 5.697 6.408 7.564 8.672 27.59 30.19 33.41 35.72
18 6.265 7.015 8.231 9.39 28.87 31.53 34.81 37.16
19 6.844 7.633 8.907 10.12 30.14 32.85 36.19 38.58
20 7.434 8.26 9.591 10.85 31.41 34.17 37.57 40
21 8.034 8.897 10.28 11.59 32.67 35.48 38.93 41.4
22 8.643 9.542 10.98 12.34 33.92 36.78 40.29 42.8
23 9.26 10.2 11.69 13.09 35.17 38.08 41.64 44.18
24 9.886 10.86 12.4 13.85 36.42 39.36 42.98 45.56
25 10.52 11.52 13.12 14.61 37.65 40.65 44.31 46.93
26 11.16 12.2 13.84 15.38 38.89 41.92 45.64 48.29
27 11.81 12.88 14.57 16.15 40.11 43.19 46.96 49.64
28 12.46 13.56 15.31 16.93 41.34 44.46 48.28 50.99
29 13.12 14.26 16.05 17.71 42.56 45.72 49.59 52.34
30 13.79 14.95 16.79 18.49 43.77 46.98 50.89 53.67
32 15.13 16.36 18.29 20.07 46.19 49.48 53.49 56.33
34 16.5 17.79 19.81 21.66 48.6 51.97 56.06 58.96
36 17.89 19.23 21.34 23.27 51 54.44 58.62 61.58
38 19.29 20.69 22.88 24.88 53.38 56.9 61.16 64.18
40 20.71 22.16 24.43 26.51 55.76 59.34 63.69 66.77
50 27.99 29.71 32.36 34.76 67.5 71.42 76.15 79.49
60 35.53 37.48 40.48 43.19 79.08 83.3 88.38 91.95
100 67.33 70.06 74.22 77.93 124.3 129.6 135.8 140.2
120 83.85 86.92 91.57 95.7 146.6 152.2 159 163.6

T.4: F-dreifing - \(a=0.90\)

Mynd

Taflan gefur \(F_{0.90}\). Um \(F_{0.90}\) gildir að slembistærð sem fylgir \(F\)-dreifingu með \(v_1\) og \(v_2\) frígráður hefur líkurnar \(0.90\) að taka gildi sem er minna en \(F_{0.90}\).

\(v_1\) 1 2 3 4 5 6 7 8 9 10 12 20 25 \(\infty\)
\(v_2\)                            
1 39.86 49.5 53.59 55.83 57.24 58.2 58.91 59.44 59.86 60.19 60.71 61.74 62.05 63.33
2 8.526 9 9.162 9.243 9.293 9.326 9.349 9.367 9.381 9.392 9.408 9.441 9.451 9.491
3 5.538 5.462 5.391 5.343 5.309 5.285 5.266 5.252 5.24 5.23 5.216 5.184 5.175 5.134
4 4.545 4.325 4.191 4.107 4.051 4.01 3.979 3.955 3.936 3.92 3.896 3.844 3.828 3.761
5 4.06 3.78 3.619 3.52 3.453 3.405 3.368 3.339 3.316 3.297 3.268 3.207 3.187 3.105
6 3.776 3.463 3.289 3.181 3.108 3.055 3.014 2.983 2.958 2.937 2.905 2.836 2.815 2.722
7 3.589 3.257 3.074 2.961 2.883 2.827 2.785 2.752 2.725 2.703 2.668 2.595 2.571 2.471
8 3.458 3.113 2.924 2.806 2.726 2.668 2.624 2.589 2.561 2.538 2.502 2.425 2.4 2.293
9 3.36 3.006 2.813 2.693 2.611 2.551 2.505 2.469 2.44 2.416 2.379 2.298 2.272 2.159
10 3.285 2.924 2.728 2.605 2.522 2.461 2.414 2.377 2.347 2.323 2.284 2.201 2.174 2.055
11 3.225 2.86 2.66 2.536 2.451 2.389 2.342 2.304 2.274 2.248 2.209 2.123 2.095 1.972
12 3.177 2.807 2.606 2.48 2.394 2.331 2.283 2.245 2.214 2.188 2.147 2.06 2.031 1.904
13 3.136 2.763 2.56 2.434 2.347 2.283 2.234 2.195 2.164 2.138 2.097 2.007 1.978 1.846
14 3.102 2.726 2.522 2.395 2.307 2.243 2.193 2.154 2.122 2.095 2.054 1.962 1.933 1.797
15 3.073 2.695 2.49 2.361 2.273 2.208 2.158 2.119 2.086 2.059 2.017 1.924 1.894 1.755
16 3.048 2.668 2.462 2.333 2.244 2.178 2.128 2.088 2.055 2.028 1.985 1.891 1.86 1.718
17 3.026 2.645 2.437 2.308 2.218 2.152 2.102 2.061 2.028 2.001 1.958 1.862 1.831 1.686
18 3.007 2.624 2.416 2.286 2.196 2.13 2.079 2.038 2.005 1.977 1.933 1.837 1.805 1.657
19 2.99 2.606 2.397 2.266 2.176 2.109 2.058 2.017 1.984 1.956 1.912 1.814 1.782 1.631
20 2.975 2.589 2.38 2.249 2.158 2.091 2.04 1.999 1.965 1.937 1.892 1.794 1.761 1.607
21 2.961 2.575 2.365 2.233 2.142 2.075 2.023 1.982 1.948 1.92 1.875 1.776 1.742 1.586
22 2.949 2.561 2.351 2.219 2.128 2.06 2.008 1.967 1.933 1.904 1.859 1.759 1.726 1.567
23 2.937 2.549 2.339 2.207 2.115 2.047 1.995 1.953 1.919 1.89 1.845 1.744 1.71 1.549
24 2.927 2.538 2.327 2.195 2.103 2.035 1.983 1.941 1.906 1.877 1.832 1.73 1.696 1.533
25 2.918 2.528 2.317 2.184 2.092 2.024 1.971 1.929 1.895 1.866 1.82 1.718 1.683 1.518
26 2.909 2.519 2.307 2.174 2.082 2.014 1.961 1.919 1.884 1.855 1.809 1.706 1.671 1.504
27 2.901 2.511 2.299 2.165 2.073 2.005 1.952 1.909 1.874 1.845 1.799 1.695 1.66 1.491
28 2.894 2.503 2.291 2.157 2.064 1.996 1.943 1.9 1.865 1.836 1.79 1.685 1.65 1.478
29 2.887 2.495 2.283 2.149 2.057 1.988 1.935 1.892 1.857 1.827 1.781 1.676 1.64 1.467
30 2.881 2.489 2.276 2.142 2.049 1.98 1.927 1.884 1.849 1.819 1.773 1.667 1.632 1.456
32 2.869 2.477 2.263 2.129 2.036 1.967 1.913 1.87 1.835 1.805 1.758 1.652 1.616 1.437
34 2.859 2.466 2.252 2.118 2.024 1.955 1.901 1.858 1.822 1.793 1.745 1.638 1.601 1.419
36 2.85 2.456 2.243 2.108 2.014 1.945 1.891 1.847 1.811 1.781 1.734 1.626 1.589 1.404
38 2.842 2.448 2.234 2.099 2.005 1.935 1.881 1.838 1.802 1.772 1.724 1.615 1.578 1.39
40 2.835 2.44 2.226 2.091 1.997 1.927 1.873 1.829 1.793 1.763 1.715 1.605 1.568 1.377
60 2.791 2.393 2.177 2.041 1.946 1.875 1.819 1.775 1.738 1.707 1.657 1.543 1.504 1.291
120 2.748 2.347 2.13 1.992 1.896 1.824 1.767 1.722 1.684 1.652 1.601 1.482 1.44 1.193
\(\infty\) 2.706 2.303 2.084 1.945 1.847 1.774 1.717 1.67 1.632 1.599 1.546 1.421 1.375 1

T.5: F-dreifing - \(a=0.95\)

Mynd

Taflan gefur \(F_{0.95}\). Um \(F_{0.95}\) gildir að slembistærð sem fylgir \(F\)-dreifingu með \(v_1\) og \(v_2\) frígráður hefur líkurnar \(0.95\) að taka gildi sem er minna en \(F_{0.95}\).

\(v_1\) 1 2 3 4 5 6 7 8 9 10 12 20 25 \(\infty\)
\(v_2\)                            
1 161.4 199.5 215.7 224.6 230.2 234 236.8 238.9 240.5 241.9 243.9 248 249.3 254.3
2 18.51 19 19.16 19.25 19.3 19.33 19.35 19.37 19.38 19.4 19.41 19.45 19.46 19.5
3 10.13 9.552 9.277 9.117 9.013 8.941 8.887 8.845 8.812 8.786 8.745 8.66 8.634 8.526
4 7.709 6.944 6.591 6.388 6.256 6.163 6.094 6.041 5.999 5.964 5.912 5.803 5.769 5.628
5 6.608 5.786 5.409 5.192 5.05 4.95 4.876 4.818 4.772 4.735 4.678 4.558 4.521 4.365
6 5.987 5.143 4.757 4.534 4.387 4.284 4.207 4.147 4.099 4.06 4 3.874 3.835 3.669
7 5.591 4.737 4.347 4.12 3.972 3.866 3.787 3.726 3.677 3.637 3.575 3.445 3.404 3.23
8 5.318 4.459 4.066 3.838 3.687 3.581 3.5 3.438 3.388 3.347 3.284 3.15 3.108 2.928
9 5.117 4.256 3.863 3.633 3.482 3.374 3.293 3.23 3.179 3.137 3.073 2.936 2.893 2.707
10 4.965 4.103 3.708 3.478 3.326 3.217 3.135 3.072 3.02 2.978 2.913 2.774 2.73 2.538
11 4.844 3.982 3.587 3.357 3.204 3.095 3.012 2.948 2.896 2.854 2.788 2.646 2.601 2.404
12 4.747 3.885 3.49 3.259 3.106 2.996 2.913 2.849 2.796 2.753 2.687 2.544 2.498 2.296
13 4.667 3.806 3.411 3.179 3.025 2.915 2.832 2.767 2.714 2.671 2.604 2.459 2.412 2.206
14 4.6 3.739 3.344 3.112 2.958 2.848 2.764 2.699 2.646 2.602 2.534 2.388 2.341 2.131
15 4.543 3.682 3.287 3.056 2.901 2.79 2.707 2.641 2.588 2.544 2.475 2.328 2.28 2.066
16 4.494 3.634 3.239 3.007 2.852 2.741 2.657 2.591 2.538 2.494 2.425 2.276 2.227 2.01
17 4.451 3.592 3.197 2.965 2.81 2.699 2.614 2.548 2.494 2.45 2.381 2.23 2.181 1.96
18 4.414 3.555 3.16 2.928 2.773 2.661 2.577 2.51 2.456 2.412 2.342 2.191 2.141 1.917
19 4.381 3.522 3.127 2.895 2.74 2.628 2.544 2.477 2.423 2.378 2.308 2.155 2.106 1.878
20 4.351 3.493 3.098 2.866 2.711 2.599 2.514 2.447 2.393 2.348 2.278 2.124 2.074 1.843
21 4.325 3.467 3.072 2.84 2.685 2.573 2.488 2.42 2.366 2.321 2.25 2.096 2.045 1.812
22 4.301 3.443 3.049 2.817 2.661 2.549 2.464 2.397 2.342 2.297 2.226 2.071 2.02 1.783
23 4.279 3.422 3.028 2.796 2.64 2.528 2.442 2.375 2.32 2.275 2.204 2.048 1.996 1.757
24 4.26 3.403 3.009 2.776 2.621 2.508 2.423 2.355 2.3 2.255 2.183 2.027 1.975 1.733
25 4.242 3.385 2.991 2.759 2.603 2.49 2.405 2.337 2.282 2.236 2.165 2.007 1.955 1.711
26 4.225 3.369 2.975 2.743 2.587 2.474 2.388 2.321 2.265 2.22 2.148 1.99 1.938 1.691
27 4.21 3.354 2.96 2.728 2.572 2.459 2.373 2.305 2.25 2.204 2.132 1.974 1.921 1.672
28 4.196 3.34 2.947 2.714 2.558 2.445 2.359 2.291 2.236 2.19 2.118 1.959 1.906 1.654
29 4.183 3.328 2.934 2.701 2.545 2.432 2.346 2.278 2.223 2.177 2.104 1.945 1.891 1.638
30 4.171 3.316 2.922 2.69 2.534 2.421 2.334 2.266 2.211 2.165 2.092 1.932 1.878 1.622
32 4.149 3.295 2.901 2.668 2.512 2.399 2.313 2.244 2.189 2.142 2.07 1.908 1.854 1.594
34 4.13 3.276 2.883 2.65 2.494 2.38 2.294 2.225 2.17 2.123 2.05 1.888 1.833 1.569
36 4.113 3.259 2.866 2.634 2.477 2.364 2.277 2.209 2.153 2.106 2.033 1.87 1.815 1.547
38 4.098 3.245 2.852 2.619 2.463 2.349 2.262 2.194 2.138 2.091 2.017 1.853 1.798 1.527
40 4.085 3.232 2.839 2.606 2.449 2.336 2.249 2.18 2.124 2.077 2.003 1.839 1.783 1.509
60 4.001 3.15 2.758 2.525 2.368 2.254 2.167 2.097 2.04 1.993 1.917 1.748 1.69 1.389
120 3.92 3.072 2.68 2.447 2.29 2.175 2.087 2.016 1.959 1.91 1.834 1.659 1.598 1.254
\(\infty\) 3.841 2.996 2.605 2.372 2.214 2.099 2.01 1.938 1.88 1.831 1.752 1.571 1.506 1
\[\text{ }\]

T.6: F-dreifing - \(a=0.975\)

Mynd

Taflan gefur \(F_{0.975}\). Um \(F_{0.975}\) gildir að slembistærð sem fylgir \(F\)-dreifingu með \(v_1\) og \(v_2\) frígráður hefur líkurnar \(0.975\) að taka gildi sem er minna en \(F_{0.975}\).

\(v_1\) 1 2 3 4 5 6 7 8 9 10 12 20 25 \(\infty\)
\(v_2\)                            
1 647.8 799.5 864.2 899.6 921.8 937.1 948.2 956.7 963.3 968.6 976.7 993.1 998.1 1018
2 38.51 39 39.17 39.25 39.3 39.33 39.36 39.37 39.39 39.4 39.41 39.45 39.46 39.5
3 17.44 16.04 15.44 15.1 14.88 14.73 14.62 14.54 14.47 14.42 14.34 14.17 14.12 13.9
4 12.22 10.65 9.979 9.605 9.364 9.197 9.074 8.98 8.905 8.844 8.751 8.56 8.501 8.257
5 10.01 8.434 7.764 7.388 7.146 6.978 6.853 6.757 6.681 6.619 6.525 6.329 6.268 6.015
6 8.813 7.26 6.599 6.227 5.988 5.82 5.695 5.6 5.523 5.461 5.366 5.168 5.107 4.849
7 8.073 6.542 5.89 5.523 5.285 5.119 4.995 4.899 4.823 4.761 4.666 4.467 4.405 4.142
8 7.571 6.059 5.416 5.053 4.817 4.652 4.529 4.433 4.357 4.295 4.2 3.999 3.937 3.67
9 7.209 5.715 5.078 4.718 4.484 4.32 4.197 4.102 4.026 3.964 3.868 3.667 3.604 3.333
10 6.937 5.456 4.826 4.468 4.236 4.072 3.95 3.855 3.779 3.717 3.621 3.419 3.355 3.08
11 6.724 5.256 4.63 4.275 4.044 3.881 3.759 3.664 3.588 3.526 3.43 3.226 3.162 2.883
12 6.554 5.096 4.474 4.121 3.891 3.728 3.607 3.512 3.436 3.374 3.277 3.073 3.008 2.725
13 6.414 4.965 4.347 3.996 3.767 3.604 3.483 3.388 3.312 3.25 3.153 2.948 2.882 2.595
14 6.298 4.857 4.242 3.892 3.663 3.501 3.38 3.285 3.209 3.147 3.05 2.844 2.778 2.487
15 6.2 4.765 4.153 3.804 3.576 3.415 3.293 3.199 3.123 3.06 2.963 2.756 2.689 2.395
16 6.115 4.687 4.077 3.729 3.502 3.341 3.219 3.125 3.049 2.986 2.889 2.681 2.614 2.316
17 6.042 4.619 4.011 3.665 3.438 3.277 3.156 3.061 2.985 2.922 2.825 2.616 2.548 2.247
18 5.978 4.56 3.954 3.608 3.382 3.221 3.1 3.005 2.929 2.866 2.769 2.559 2.491 2.187
19 5.922 4.508 3.903 3.559 3.333 3.172 3.051 2.956 2.88 2.817 2.72 2.509 2.441 2.133
20 5.871 4.461 3.859 3.515 3.289 3.128 3.007 2.913 2.837 2.774 2.676 2.464 2.396 2.085
21 5.827 4.42 3.819 3.475 3.25 3.09 2.969 2.874 2.798 2.735 2.637 2.425 2.356 2.042
22 5.786 4.383 3.783 3.44 3.215 3.055 2.934 2.839 2.763 2.7 2.602 2.389 2.32 2.003
23 5.75 4.349 3.75 3.408 3.183 3.023 2.902 2.808 2.731 2.668 2.57 2.357 2.287 1.968
24 5.717 4.319 3.721 3.379 3.155 2.995 2.874 2.779 2.703 2.64 2.541 2.327 2.257 1.935
25 5.686 4.291 3.694 3.353 3.129 2.969 2.848 2.753 2.677 2.613 2.515 2.3 2.23 1.906
26 5.659 4.265 3.67 3.329 3.105 2.945 2.824 2.729 2.653 2.59 2.491 2.276 2.205 1.878
27 5.633 4.242 3.647 3.307 3.083 2.923 2.802 2.707 2.631 2.568 2.469 2.253 2.183 1.853
28 5.61 4.221 3.626 3.286 3.063 2.903 2.782 2.687 2.611 2.547 2.448 2.232 2.161 1.829
29 5.588 4.201 3.607 3.267 3.044 2.884 2.763 2.669 2.592 2.529 2.43 2.213 2.142 1.807
30 5.568 4.182 3.589 3.25 3.026 2.867 2.746 2.651 2.575 2.511 2.412 2.195 2.124 1.787
32 5.531 4.149 3.557 3.218 2.995 2.836 2.715 2.62 2.543 2.48 2.381 2.163 2.091 1.75
34 5.499 4.12 3.529 3.191 2.968 2.808 2.688 2.593 2.516 2.453 2.353 2.135 2.062 1.717
36 5.471 4.094 3.505 3.167 2.944 2.785 2.664 2.569 2.492 2.429 2.329 2.11 2.037 1.687
38 5.446 4.071 3.483 3.145 2.923 2.763 2.643 2.548 2.471 2.407 2.307 2.088 2.015 1.661
40 5.424 4.051 3.463 3.126 2.904 2.744 2.624 2.529 2.452 2.388 2.288 2.068 1.994 1.637
60 5.286 3.925 3.343 3.008 2.786 2.627 2.507 2.412 2.334 2.27 2.169 1.944 1.869 1.482
120 5.152 3.805 3.227 2.894 2.674 2.515 2.395 2.299 2.222 2.157 2.055 1.825 1.746 1.31
\(\infty\) 5.024 3.689 3.116 2.786 2.567 2.408 2.288 2.192 2.114 2.048 1.945 1.708 1.626 1

T.7: F-dreifing - \(a=0.99\)

Mynd

Taflan gefur \(F_{0.99}\). Um \(F_{0.99}\) gildir að slembistærð sem fylgir \(F\)-dreifingu með \(v_1\) og \(v_2\) frígráður hefur líkurnar \(0.99\) að taka gildi sem er minna en \(F_{0.99}\).

\(v_1\) 1 2 3 4 5 6 7 8 9 10 12 20 25 \(\infty\)
\(v_2\)                            
1 4052 4999 5403 5625 5764 5859 5928 5981 6022 6056 6106 6209 6240 6366
2 98.5 99 99.17 99.25 99.3 99.33 99.36 99.37 99.39 99.4 99.42 99.45 99.46 99.5
3 34.12 30.82 29.46 28.71 28.24 27.91 27.67 27.49 27.35 27.23 27.05 26.69 26.58 26.13
4 21.2 18 16.69 15.98 15.52 15.21 14.98 14.8 14.66 14.55 14.37 14.02 13.91 13.46
5 16.26 13.27 12.06 11.39 10.97 10.67 10.46 10.29 10.16 10.05 9.888 9.553 9.449 9.02
6 13.75 10.92 9.78 9.148 8.746 8.466 8.26 8.102 7.976 7.874 7.718 7.396 7.296 6.88
7 12.25 9.547 8.451 7.847 7.46 7.191 6.993 6.84 6.719 6.62 6.469 6.155 6.058 5.65
8 11.26 8.649 7.591 7.006 6.632 6.371 6.178 6.029 5.911 5.814 5.667 5.359 5.263 4.859
9 10.56 8.022 6.992 6.422 6.057 5.802 5.613 5.467 5.351 5.257 5.111 4.808 4.713 4.311
10 10.04 7.559 6.552 5.994 5.636 5.386 5.2 5.057 4.942 4.849 4.706 4.405 4.311 3.909
11 9.646 7.206 6.217 5.668 5.316 5.069 4.886 4.744 4.632 4.539 4.397 4.099 4.005 3.602
12 9.33 6.927 5.953 5.412 5.064 4.821 4.64 4.499 4.388 4.296 4.155 3.858 3.765 3.361
13 9.074 6.701 5.739 5.205 4.862 4.62 4.441 4.302 4.191 4.1 3.96 3.665 3.571 3.165
14 8.862 6.515 5.564 5.035 4.695 4.456 4.278 4.14 4.03 3.939 3.8 3.505 3.412 3.004
15 8.683 6.359 5.417 4.893 4.556 4.318 4.142 4.004 3.895 3.805 3.666 3.372 3.278 2.868
16 8.531 6.226 5.292 4.773 4.437 4.202 4.026 3.89 3.78 3.691 3.553 3.259 3.165 2.753
17 8.4 6.112 5.185 4.669 4.336 4.102 3.927 3.791 3.682 3.593 3.455 3.162 3.068 2.653
18 8.285 6.013 5.092 4.579 4.248 4.015 3.841 3.705 3.597 3.508 3.371 3.077 2.983 2.566
19 8.185 5.926 5.01 4.5 4.171 3.939 3.765 3.631 3.523 3.434 3.297 3.003 2.909 2.489
20 8.096 5.849 4.938 4.431 4.103 3.871 3.699 3.564 3.457 3.368 3.231 2.938 2.843 2.421
21 8.017 5.78 4.874 4.369 4.042 3.812 3.64 3.506 3.398 3.31 3.173 2.88 2.785 2.36
22 7.945 5.719 4.817 4.313 3.988 3.758 3.587 3.453 3.346 3.258 3.121 2.827 2.733 2.305
23 7.881 5.664 4.765 4.264 3.939 3.71 3.539 3.406 3.299 3.211 3.074 2.781 2.686 2.256
24 7.823 5.614 4.718 4.218 3.895 3.667 3.496 3.363 3.256 3.168 3.032 2.738 2.643 2.211
25 7.77 5.568 4.675 4.177 3.855 3.627 3.457 3.324 3.217 3.129 2.993 2.699 2.604 2.169
26 7.721 5.526 4.637 4.14 3.818 3.591 3.421 3.288 3.182 3.094 2.958 2.664 2.569 2.131
27 7.677 5.488 4.601 4.106 3.785 3.558 3.388 3.256 3.149 3.062 2.926 2.632 2.536 2.097
28 7.636 5.453 4.568 4.074 3.754 3.528 3.358 3.226 3.12 3.032 2.896 2.602 2.506 2.064
29 7.598 5.42 4.538 4.045 3.725 3.499 3.33 3.198 3.092 3.005 2.868 2.574 2.478 2.034
30 7.562 5.39 4.51 4.018 3.699 3.473 3.304 3.173 3.067 2.979 2.843 2.549 2.453 2.006
32 7.499 5.336 4.459 3.969 3.652 3.427 3.258 3.127 3.021 2.934 2.798 2.503 2.406 1.956
34 7.444 5.289 4.416 3.927 3.611 3.386 3.218 3.087 2.981 2.894 2.758 2.463 2.366 1.911
36 7.396 5.248 4.377 3.89 3.574 3.351 3.183 3.052 2.946 2.859 2.723 2.428 2.331 1.872
38 7.353 5.211 4.343 3.858 3.542 3.319 3.152 3.021 2.915 2.828 2.692 2.397 2.299 1.837
40 7.314 5.179 4.313 3.828 3.514 3.291 3.124 2.993 2.888 2.801 2.665 2.369 2.271 1.805
60 7.077 4.977 4.126 3.649 3.339 3.119 2.953 2.823 2.718 2.632 2.496 2.198 2.098 1.601
120 6.851 4.787 3.949 3.48 3.174 2.956 2.792 2.663 2.559 2.472 2.336 2.035 1.932 1.381
\(\infty\) 6.635 4.605 3.782 3.319 3.017 2.802 2.639 2.511 2.407 2.321 2.185 1.878 1.773 1