NOTES - Tabl'e. 1 Area Under the standard Normal carve...

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Unformatted text preview: Tabl'e. 1 Area Under the standard Normal carve .0040 .0080 . . .0199 .0239 .0438 .0478 . . .0596 .0636 .0832 .0871 . . .0987 .1026 .1217 .1255 . . .1368 .1406 .1591 .1628 . . .1736 .1772 00000 #le—JC .1950 .1985 . . ~2088 .2123 .2291 .2324 . . .2422 .2454 .2611 .2642 . . .2734 .2764 .2910 .2939 . , .3023 .3051 .3186 .3212 . . .3289 .3315 00000 k-{alu LAC: ¢JGO~JCh\A .3438 .3461 . . .3531 .3554 .3665 .3686 . . .3749 .3770 _ .3859. .3888 . . .3944 .3952 .4049 .4066 . . .4115 .4131 .4207 .4222 . . .4265 .4279 F‘P‘F‘F‘F‘ .4345 .4357 . . .4394 .4406 .4463 .4474 . . .4505 .4515 .4564 .4573 : . .4599 .4608 .4649 .4656 . . .4678 .4686 .4719 .4726 . . .4744 .4750 ere-wletw .4778 .4783 . . .4798 .4803 .4826 .4830 . . .4842 .4846 .4864 .4868 l . .4878 .4881 .4896 .4898 . . .4906 .4909 .4920 .4922 . . .4929 .4931 5 6 7 B 9 0 l 2 3 4 NNNMM .4940 .4941 . . .4946 .4948 .4955 .4956 . . .4960 .496l .4966 .4967 . . .4970 .4971 .4975 .4976 . . .4978 .4979 .4982 .4982 . . .4984 .4985 MNNNM .4987 .4987 . . .4989 .4989 .4991 .4991 . . .4992 .4992 .4993 .4994 . . .4994 .4994 .4995 .4995 . . .4996 .4996 .4997 .4997 . . .4997 .4997 k.) umumm met-‘O tom-41mm: L11 .4993 .4998 .4998 .4998 Mbdified from Table 21 of Fisher and Yates: Statistical Tables for Biological. Agricultural and Medical Research, published by Longman Group Ltd., London, (previously published by Oliver-end Boyd, Edinburgh), and by kind permission of the authors and publishers. _ Notes: Entries in the table represent the probabilities that a standard Normal variable assumes a value between 0 and z. Probabilities for negative values of z are obtained by symmetry. Tab1e 2 Critical va1ues for t-tests Level of significance for one-tailed tests ' Level of significance for two—tailed tests df w oxacn~aa\ u«¢-u3nJH N_Nrun¢u{ NNNNN' NMNNN 3 Abridged from Lbcumenta Geigy Scientific Tables, 7th ed., Basle, 1970, with kind yermission of Ciba—Geigy Limited. TabIe 3 Critica1 va1ues for z-tests Level of significance for one-tailed tests .0005 Level of significance for two~tailed tests - 1.960 2.326 2.576 3.291 Table 5 V2 0- ' l 2 3 4 1 0.05 161.4 199.5 215.7 224.6 0.01 4052 4999 5403 5625 2 0.05 . 18.51 19-00 19.61 19.25 0.01 98.50 99.00 99.17 99.25 0.001 998.5 999.0 999.2 999.2 3 0.05 10.13 9.55 9.28 9.12 0.01 34.12 30.82 29.46 28.71 0.001 167.0 148.5 141.1 137.1 4 0.05 7.71 6.94 6.59 6.39 0.01 21.20 18.00 16.69 15.98 0.001 74.14 61.25 56.18 53.44 5 0.05 6.61 5.79 5.41 5.19 0.01 16.26 13.27 12.06 11.39 0.001 47.18 37.12 33.20 31.09 6 0.05 5.99 5.14 4.76 4.53 0.01 13.75 10.92 9.78 9.15 0.001 35.51 27.00 23.70 21.92 7 0.05 5.59 4.74 4.35 4.12 0.01 12.25 9.55 8.45 7.85 0.001 29.25 21.69 18.77 17.19 8 0.05 5.32 4.46 4.07 3.84 0.01 11.26 8.65 7.59 7.01 0.001 25.42 18.49 15.83 14.39 9 0.05 5.12 4.26 3.86 3.63 0.01 10.56 8.02 6.99 6.42 0.001 22.86 16.39 13.90 12.56 10 0.05 4.96 4.10 3.71 3.48 0.01 10.04 7.56 6.55 5.99 0.001 21.04 14.91 12.55 11.28 11 0.05 4.34 3.98 3.59 3-36 0.01 9.65 7.21 6.22 5.67 0.001 19.69 13.81 11.56 10.35 12 0.05 4.75 3.89 3.49 3.26 0.01 9.33 6-93 5.95 5.41 0.001 18.64 12.97 10.80 9.63 13 0.05 4.67 3.81 3.41 3.18 0.01 9.07 6.70 5.74 5.21 0.001 17.81 12.31 10.21 9.07 14 0.05 4.60 3.74 3.34 3.11 0.01 8.86 6.51 5.56 5204 0.001 17.14 11.78 9.73 8.62 15 0.05 4.54 3.68 3.29 3.06 0.01 8.68 6.36 5.42 4.89 0.001 16.59 11.34 9.34 8.25 16 0.05 4.49 3.63 3.24 3.01 0.01 8.53 6.23 5.29 4.77 0.001 16.12 10.97 9.00 7.94 V1 5 230.2 5764 19.30 99.30 999.3 9.01 28.24 134.6 6.26 15.52 51.71 5.05 10.97 29.75 4.39 8.75 20.81 3.97 7.46 16.21 3.69 6.63 13-49 3.48 6.06 11.71 3.33 5.64 10.48 3.20 5.32 9.58 3.11 5.06 8.89 3.03 4.86 8.35 2.96 4.69 7.92 2.90 4.56 7.57 2.85 4.44 7.27 6 234.0 5859 19.33 99.33 999.3 8.94 27.91 132.8 6.16 15.21 50.53 4.95 10.67 28.84 4.28 8.47 20.03 3.87 7.19 15.52 3.58 6.37 12.86 3.37 5.80 11.13 3.22 5.39 9.92 3.09 5.07 9.05 3.00 cux~ \4 an arm - mO‘UD .U‘NN k-J‘m \JO‘W cnx~lu ~qx~ no ~JJ~ an ~1£~Iu corn ‘3 cnxn P‘O-F xon3é 7 236.8 5928 19.35 99.36 999.4 8.89 27.67 131.6 6.09 14.98 49.66 4.88 10.46 28.16 4.21 8.26 19.46 3.79 6.99 15.02 3.50 6.18 12.40 3.29 5.61 10.70 3-14 5.20 9.52 3.01 m$~ qrm QAN mbm g? H J~¢~cn 0‘93 Chan §9§ 3&3 Ohm Bbw mm km 00‘ was 0" 9. 0‘ CriticaI values fer F9tests 8 238.9 5981 19.37 99.37 999.4 8.85 27.49 130.6 6.04 14.80 49.00 4.82 10.29 27.64 4.15 8.10 19.03 3-73 6.84 14.63 3.44 6.03 12.04 3.23 5.47 10.37 3.07 5.06 9.20 2.95 05J\ . . ms! \n4\ 583 559 qrw 69m A) ~a HBQ 990 959 959 $83 282 8:8 P‘J‘N 338 9?“ 385 n :- \JIOC‘ comm an» N 983 n.. 01m ~31n 00:6 \h \D on 254.3 6366 19.50 99.50 999.5 8.53 26.13 123.5 5.63 13.46 44.05 4.36 9.02 23.79 3.67 6.88' 15.75 3.23 5.65 11.70 2.93 4.86 9.33 9’ :3 ~az~ . . m\» +414 (bu?) ~Junxn O‘H-i‘ U‘MNN U‘mN - u . .nu 980 350 538 888 Hx’lx‘l O J‘NM hMN #‘UN bwm mono 808 Reproduced and rearranged from Table 18 0f Pearson and Hartley: Biometrika Tables for Statisticians, Vbi. I, published by Cambridge University Press, of the Biometrika Trustees. and by kind permission Critica1 va1ues for F-tests Table 5 (Cont'd) v1 10 3.93 6.22 006 71:) a.m,m vim amlmw. 3.59 3.20 2 96 6.11 5 18 4.67 0.001 15.72 10.66 8.73 7 68 I. 1.5 8.40 17 0.05 0.01 3-55 3.16 2 93 6 01 5 09 4.58 0.001 15.38 10.39 8.49 7.46 4.41 8.29 18 0.05 0.01 3-13 5 01 3.52 5.93 0.001 15.08 10.16 8.28 20 0.05 4-38 8 18 19 0.05 0.01 3.10 4.94 8.10 3-49 5.85 4.35 8.10 0.001 14.82 9.95 0.01 ‘ 3.47 5 78 4.32 8 02 0.001 14-59 9.77 0.01 22 {1.05 21 0.05 2.82 4.31 6 81 3 05 4.82 7 80 3.44 5.72 4.30 7 95 0.001 14.38 9.61 0.01 3.42 5.66 4.28 7.88 0.001 14.19 9.47 23 0.05 0.01 3-40 5 61 l 14.03 9.34 25 0.05 4.26 7 82 2.99 4.68 7.45 3-39 5.57 4-24 7.77 0.01 0.001 13.88 9.22 26 0.05 3-37 5.53 4-23 7.72 0.01 0.001 13.74 9.12 27 0.05 2.96 4.60 7.27 3-35 5.49 4.21 7.68 0.001 13.61 9.02 0.01 3.33 5.42 4.18 7.60 0.001 13.39 8.85 29 0.05 0.01 2.92 4.51 7.05 3.32 5.39 4.17 7.56 0.001 13.29 8.77 30 0.05 0.01 3.23 5 18 4.08 7 31 0.001 12.61 8.25 40 0.05 0.01 3515 4 98 0.001 11.97 7.76 4 00 7.08 60 0.05 0.01 3 00 4.61 3-84 6 63 0.001 10.83 6.91 0.05 0.01 the degrees of’freedom associated with the larger and smaller estimates of resuectivelv. Notes: 3 denotes the level of significance for one—tailed tests; v1 and v2 represent the variance. 120 95.70, Tabie 4 Level of significance for oneuteiled tests df I level cfsignificancefor two—tailed tests 5.02 .000, .051, .216, '-484; .831, 1-24, 1.69; 2.18, 2.70, 3-25; 3.82, 4.40, 5.01, 5.63, 6.26, 6.91, 7.56, 8.23, 3.91, 9.59, 32.67 10.28, 33.92 10.93, 35.17 11.69, 36.42 12.40, 37.65 13.12, 38.89 13.84: 40.11 14.57, 41.34 15.31: 42.56 16.05, 43.77 16.79, 55.76 24.43. 67.50 32.36; 79.08 40.48, 90.53 48.76, 101.9 57.15, 113.1 65.65, 124.3 74.22, 146.6 91.57, .001; Critica} values for xz-tests 7.38 9.35 38.08 10.20, 39.36 10.86, 40.65 11.52, 41.92 12.20, 43.19 12.88, 44.46 13.56, 45.72 14.26, 46.98 14.95, 59.34 22.16, 71.42 29.71, 83.30 37.48. 95.02 45.44; 106.6 53.54. 118.1 61.75, 129.0 70.06, 152.2 86.92, 49.59 13.12, 50.98 13.79, 76.15 27.99, 83-38 35.53. 100.4 43.28, 112.3 51.17, 124.1 59.20, 135 .8 67. 331 158.9 83.35, Nbdified frcm Documenta Geigy-Scientific Tables, 7th ed., Beale, 1970, with kind permission of Ciba—Geigy Limited. Notes: Eb: oneutailed tests such as tests for contingency or goodness of fit, the right critical value is applicable. For large degrees of freefiofi the right critical value may be obtained from the approximate formu1e x2 5 vii - M 7:) + 2/2/T’79v }3 where v is the degree of freedom and z is the critical value for the one~teiled z—test corresponding to the prescribed significance' level as given in Table 3. m ...
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NOTES - Tabl'e. 1 Area Under the standard Normal carve...

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