Töflur

T.1: Stöðluð normaldreifing - z-gildi

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

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

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 - \(a=0.90\)

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 - \(a=0.95\)

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 - \(a=0.975\)

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 - \(a=0.99\)

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