tablas estadísticas
DESCRIPTION
tablas de distribucionesTRANSCRIPT
TABLA 1 VALORES DE LA FUNCIN DE DISTRIBUCIN ACUMULATIVA NORMAL ESTNDARZ.00.01.02.03.04.05.06.07.08.09
-3.50.00020.00020.00020.00020.00020.00020.00020.00020.00020.0002
-3.40.00030.00030.00030.00030.00030.00030.00030.00030.00030.0002
-3.30.00050.00050.00050.00040.00040.00040.00040.00040.00040.0003
-3.20.00070.00070.00060.00060.00060.00060.00060.00050.00050.0005
-3.10.00100.00090.00090.00090.00080.00080.00080.00080.00070.0007
-3.00.00130.00130.00130.00120.00120.00110.00110.00110.00100.0010
-2.90.00190.00180.00180.00170.00160.00160.00150.00150.00140.0014
-2.80.00260.00250.00240.00230.00230.00220.00210.00210.00200.0019
-2.70.00350.00340.00330.00320.00310.00300.00290.00280.00270.0026
-2.60.00470.00450.00440.00430.00410.00400.00390.00380.00370.0036
-2.50.00620.00600.00590.00570.00550.00540.00520.00510.00490.0048
-2.40.00820.00800.00780.00750.00730.00710.00690.00680.00660.0064
-2.30.01070.01040.01020.00990.00960.00940.00910.00890.00870.0084
-2.20.01390.01360.01320.01290.01250.01220.01190.01160.01130.0110
-2.10.01790.01740.01700.01660.01620.01580.01540.01500.01460.0143
-2.00.02280.02220.02170.02120.02070.02020.01970.01920.01880.0183
-1.90.02870.02810.02740.02680.02620.02560.02500.02440.02390.0233
-1.80.03590.03510.03440.03360.03290.03220.03140.03070.03010.0294
-1.70.04460.04360.04270.04180.04090.04010.03920.03840.03750.0367
-1.60.05480.05370.05260.05160.05050.04950.04850.04750.04650.0455
-1.50.06680.06550.06430.06300.06180.06060.05940.05820.05710.0559
-1.40.08080.07930.07780.07640.07490.07350.07210.07080.06940.0681
-1.30.09680.09510.09340.09180.09010.08850.08690.08530.08380.0823
-1.20.11510.11310.11120.10930.10750.10560.10380.10200.10030.0985
-1.10.13570.13350.13140.12920.11710.12510.12300.12100.11900.1170
-1.00.15870.15620.15390.15150.14920.14690.14460.14230.14010.1379
-0.90.18410.18140.17880.17620.17360.17110.16850.16600.16350.1611
-0.80.21190.20900.20610.20330.20050.19770.19490.19220.18940.1867
-0.70.24200.23890.23580.23270.22970.22660.22360.22060.21770.2148
-0.60.27430.27090.26760.26430.26110.25780.25460.25140.24830.2451
-0.50.30850.30500.30150.29810.29460.29120.28770.28430.28100.2776
-0.40.34460.34090.33720.33360.33000.32640.32280.31920.31560.3121
-0.30.38210.37830.37450.37070.36690.36320.35940.35570.35200.3483
-0.20.42070.41680.41290.40900.40520.40130.39740.39360.38970.3859
-0.10.46020.45620.45220.44830.44430.44040.43640.43250.42860.4247
-0.00.50000.49600.49200.48800.48400.48010.47610.47210.46810.4641
0.00.50000.50400.50800.51200.51600.51990.52390.52790.53190.5359
0.10.53980.54380.54700.55170.55570.55960.56360.56750.57140.5753
0.20.57930.58320.58700.59100.59480.59870.60260.60640.61030.6141
0.30.61790.62170.62550.62930.63310.63680.64060.64430.64800.6517
0.40.65540.65910.66280.66640.67000.67360.67720.68080.68440.6879
0.50.69150.69500.69850.70190.70540.70880.71230.71570.71900.7224
0.60.72570.72910.73240.73570.73890.74220.74540.74860.75170.7549
0.70.75800.76110.76420.76730.77030.77340.77640.77940.78230.7852
0.80.78810.79100.79390.79670.79950.80230.80510.80780.81060.8133
0.90.81590.81860.82120.82380.82640.82890.83150.83400.83650.8389
TABLA 1 VALORES DE LA FUNCIN DE DISTRIBUCIN ACUMULATIVA NORMAL ESTNDAR
Z.00.01.02.03.04.05.06.07.08.09
1.00.84130.84380.84610.84850.85080.85310.85540.85770.85990.8621
1.10.86430.86650.86860.87080.87290.87490.87700.87900.88100.8830
1.20.88490.88690.88880.89070.89250.89440.89620.89800.89970.9015
1.30.90320.90490.90660.90820.90990.91150.91310.91470.91620.9177
1.40.91920.92070.92220.92360.92510.92650.92790.92920.93060.9319
1.50.93320.93450.93570.93700.93820.93940.94060.94180.94290.9441
1.60.94520.94630.94740.94840.94950.95050.95150.95250.95350.9545
1.70.95540.95640.95730.95820.95910.95990.96080.96160.96250.9633
1.80.96410.96490.96560.96640.96710.96780.96860.96930.96990.9706
1.90.97130.97190.97260.97320.97380.97440.97500.97560.97610.9767
2.00.97720.97780.97830.97880.97930.97980.98030.98080.98120.9817
2.10.98210.98260.98300.98340.98380.98420.98460.98500.98540.9857
2.20.98610.98640.98680.98710.98750.98720.98810.98840.98870.9890
2.30.98930.98960.98980.99010.99040.99060.99090.99110.99130.9916
2.40.99180.99200.99220.99250.99270.99290.99310.99320.99340.9936
2.50.99380.99400.99410.99430.99450.99460.99480.99490.99510.9952
2.60.99530.99550.99560.99570.99590.99600.99610.99620.99630.9964
2.70.99650.99660.99670.99680.99690.99700.99710.99720.99730.9974
2.80.99740.99750.99760.99770.99770.99780.99790.99790.99800.9981
2.90.99810.99820.99820.99830.99840.99840.99850.99850.99860.9986
3.00.99870.99870.99870.99880.99880.99890.99890.99890.99900.9990
3.10.99900.99910.99910.99910.99920.99920.99920.99920.99930.9993
3.20.99930.99930.99940.99940.99940.99940.99940.99950.99950.9995
3.30.99950.99950.99950.99960.99960.99960.99960.99960.99960.9997
3.40.99970.99970.99970.99970.99970.99970.99970.99970.99970.9998
3.50.99980.99980.99980.99980.99980.99980.99980.99980.99980.9998
TABLA 2 VALORES CUANTILES DE LA DISTRIBUCIN JI-CUADRADA
vx 0.005x 0.010x 0.025x 0.050x 0.100x 0.900x 0.950x 0.975x 0.990x 0.995
10.000.000.000.000.022.713.845.026.647.90
20.010.020.050.100.214.605.997.399.2210.59
30.070.110.220.350.586.257.829.3611.3212.82
40.210.300.480.711.067.789.4911.1513.2814.82
50.410.550.831.151.619.2411.0712.8415.0916.72
60.670.871.241.632.2010.6512.6014.4616.8118.55
70.991.241.692.172.8312.0214.0716.0218.4720.27
81.341.642.182.733.4913.3615.5117.5520.0821.94
91.732.092.703.324.1714.6916.9319.0321.6523.56
102.152.553.243.944.8615.9918.3120.5023.1925.15
112.603.053.814.575.5817.2819.6821.9324.7526.71
123.063.574.405.226.3018.5521.0323.3526.2528.25
133.564.105.015.897.0419.8122.3724.7527.7229.88
144.074.655.626.577.7921.0723.6926.1329.1731.38
154.595.236.267.268.5522.3125.0027.5030.6132.86
165.145.816.907.969.3123.5526.3028.8632.0334.32
175.696.407.568.6710.0824.7727.5930.2033.4335.77
186.257.008.239.3910.8625.9928.8831.5434.8337.21
196.827.638.9010.1111.6527.2130.1533.8736.2238.63
207.428.259.5910.8512.4428.4231.4234.1837.5940.05
218.028.8910.2811.5913.2429.6232.6835.4938.9641.45
228.629.5310.9812.3414.0430.8233.9336.7940.3142.84
239.2510.1911.6913.0914.8532.0135.1838.0941.6644.23
249.8710.8512.4013.8415.6633.2036.4239.3843.0045.60
2510.5011.5113.1114.6116.4734.3837.6640.6644.3446.97
2611.1312.1913.8415.3817.2935.5738.8941.9445.6648.33
2711.7912.8714.5716.1518.1136.7440.1243.2146.9949.69
2812.4413.5515.3016.9218.9437.9241.3444.4748.3051.04
2913.0914.2416.0417.7019.7739.0942.5645.7449.6152.38
3013.7714.9416.7818.4920.6040.2643.7846.9950.9153.71
3517.1618.4920.5622.4624.7946.0649.8153.2257.3660.31
4020.6722.1424.4226.5129.0651.8055.7559.3463.7166.80
4524.2825.8828.3630.6133.3657.5061.6565.4169.9873.20
5027.9629.6832.3534.7637.6963.1667.5071.4276.1779.52
6035.5037.4640.4743.1946.4674.3979.0883.3088.4091.98
7043.2545.4248.7551.7455.3385.5290.5395.06100.44104.24
8051.1453.5257.1560.3964.2896.57101.88106.63112.34116.35
9059.1761.7465.6469.1373.29107.56113.14118.14124.13128.32
10067.3070.0574.2277.9382.36118.49124.34129.56135.82140.19
TABLA 3 VALORES DE CUANTILES DE LA DISTRIBUCIN t DE STUDENT
Vt 0.001t 0.005t 0.010t 0.025t 0.050t 0.100t 0.200
1-318.309-63.657-31.821-12.706-6.314-3.078-1.376
2-22.327-9.925-6.965-4.303-2.920-1.886-1.061
3-10.215-5.841-4.541-3.182-2.353-1.638-0.978
4-7.173-4.604-3.747-2.776-2.132-1.533-0.941
5-5.893-4.032-3.365-2.571-2.015-1.476-0.920
6-5.208-3.707-3.143-2.447-1.943-1.440-0.906
7-4.785-3.499-2.998-2.365-1.895-1.415-0.896
8-4.505-3.355-2.896-2.306-1.860-1.397-0.889
9-4.297-3.250-2.821-2.262-1.833-1.383-0.883
10-4.144-3.169-2.764-2.228-1.812-1.372-0.879
11-4.025-3.106-2.718-2.201-1.796-1.363-0.876
12-3.930-3.055-2.681-2.179-1.782-1.356-0.873
13-3.852-3.012-2.650-2.160-1.771-1.350-0.870
14-3.787-2.977-2.624-2.145-1.761-1.345-0.868
15-3.733-2.947-2.602-2.131-1.753-1.341-0.866
16-3.686-2.921-2.583-2.120-1.746-1.337-0.865
17-3.646-2.898-2.567-2.110-1.740-1.333-0.863
18-3.610-2.878-2.552-2.101-1.734-1.330-0.862
19-3.579-2.861-2.539-2.093-1.729-1.328-0.861
20-3.552-2.845-2.528-2.086-1.725-1.325-0.860
21-3.527-2.831-2.518-2.080-1.721-1.323-0.859
22-3.505-2.819-2.508-2.074-1.717-1.321-0.858
23-3.485-2.807-2.500-2.069-1.714-1.319-0.858
24-3.467-2.797-2.492-2.064-1.711-1.318-0.857
25-3.450-2.787-2.485-2.060-1.708-1.316-0.856
26-3.435-2.779-2.479-2.056-1.706-1.315-0.856
27-3.421-2.771-2.473-2.052-1.703-1.314-0.855
28-3.408-2.763-2.467-2.048-1.701-1.313-0.855
29-3.396-2.756-2.462-2.045-1.699-1.311-0.854
30-3.385-2.750-2.457-2.042-1.697-1.310-0.854
35-3.340-2.724-2.438-2.030-1.690-1.306-0.852
40-3.307-2.704-2.423-2.021-1.684-1.303-0.851
45-3.281-2.690-2.412-2.014-1.679-1.301-0.850
50-3.261-2.678-2.403-2.009-1.676-1.299-0.849
60-3.232-2.660-2.390-2.000-1.671-1.296-0.848
70-3.211-2.648-2.381-1.994-1.667-1.294-0.847
80-3.195-2.639-2.374-1.990-1.664-1.292-0.846
90-3.183-2.632-2.369-1.987-1.662-1.291-0.846
100-3.174-2.626-2.364-1.984-1.660-1.290-0.845
200-3.131-2.601-2.345-1.972-1.652-1.286-0.843
500-3.107-2.586-2.334-1.965-1.648-1.283-0.842
1000-3.098-2.581-2.330-1.962-1.646-1.282-0.842
TABLA 3 VALORES DE CUANTILES DE LA DISTRIBUCIN t DE STUDENT
Vt 0.800t 0.900t 0.950t 0.975t 0.990t 0.995t 0.999
11.3763.0786.31412.70631.82063.656318.294
21.0611.8862.9204.3036.9659.92522.327
30.9781.6382.3533.1824.5415.84110.214
40.9411.5332.1322.7763.7444.6047.173
50.9201.4762.0152.5713.3654.0325.893
60.9061.4401.9432.4473.1433.7075.208
70.8961.4151.8952.3652.9983.4994.785
80.8891.3971.8602.3062.8963.3554.501
90.8831.3831.8332.2622.8213.2504.297
100.8791.3721.8122.2282.7643.1694.144
110.8761.3631.7962.2012.7183.1064.025
120.8731.3561.7822.1792.6813.0553.930
130.8701.3501.7712.1602.6503.0123.852
140.8681.3451.7612.1452.6242.9773.787
150.8661.3411.7502.1312.6022.9473.733
160.8651.3371.7462.1202.5832.9213.686
170.8631.3331.7402.1102.5672.8983.646
180.8621.3301.7342.1012.5522.8783.610
190.8611.3281.7292.0932.5392.8613.579
200.8601.3251.7252.0862.5282.8453.552
210.8591.3231.7212.0802.5182.8313.527
220.8581.3211.7172.0742.5082.8193.505
230.8581.3191.7142.0692.5002.8073.485
240.8571.3181.7112.0642.4922.7973.467
250.8561.3161.7082.0602.4852.7873.450
260.8561.3151.7062.0532.4792.7793.435
270.8551.3141.7032.0522.4732.7713.421
280.8551.3131.7012.0482.4672.7633.408
290.8541.3111.6992.0452.4622.7563.396
300.8541.3101.6972.0422.4572.7503.385
350.8521.3061.6902.0302.4382.7243.340
400.8511.3031.6842.0212.4232.7043.307
450.8501.3011.6792.0142.4122.6903.281
500.8491.2991.6762.0092.4032.6783.261
600.8481.2961.6712.0002.3902.6603.232
700.8471.2941.6671.9942.3812.6483.211
800.8461.2921.6641.9902.3742.6393.195
900.8461.2911.6621.9872.3682.6323.183
1000.8451.2901.6601.9842.3642.6263.174
2000.8431.2861.6521.9722.3452.6013.131
5000.8421.2831.6481.9652.3342.5863.107
10000.8421.2821.6461.9622.3302.5813.098
TABLA 4 VALORES DE CUANTILES DE LA DISTRIBUCIN F
V1= Grados de libertad del numerador
V 212345678910
139.8649.5053.5955.8357.2458.20589159.4459.8660.19
28.539.009.169.249.299.339.359.379.389.39
35.545.465.395.345.315.285.275.255.245.23
44.544.324.194.114.054.013.983.953.943.92
54.063.783.623.523.453.403.373.343.323.30
63.783.493.293.183.113.053.012.982.962.94
73.593.263.072.962.882.832.792.752.722.70
83.463.112.922.812.732.672.622.592.562.54
93.363.012.812.692.612.552.512.472.442.42
103.292.922.732.612.522.462.412.382.352.32
113.232.862.662.542.452.392.342.302.272.25
123.182.812.612.482.392.332.282.242.212.19
133.142.762.562.432.352.282.232.202.162.14
143.102.732.522.392.312.242.192.152.122.10
153.072.702.492.362.272.212.162.122.092.06
163.052.672.462.332.242.182.132.092.062.03
173.032.642.442.312.222.152.102.062.032.00
183.012.622.422.292.202.132.082.042.001.98
192.992.612.402.272.182.112.062.021.981.96
202.972.592.382.252.162.092.042.001.961.94
212.962.572.362.232.142.082.021.981.951.92
222.952.562.352.222.132.062.011.971.931.90
232.942.552.342.212.112.051.991.951.921.89
242.932.542.332.192.102.041.981.941.911.88
252.922.532.322.182.092.021.971.931.891.87
262.912.522.312.172.082.011.961.921.881.86
272.902.512.302.172.072.001.951.911.871.85
282.892.502.292.162.062.001.941.901.871.84
292.892.502.282.152.061.991.931.891.861.83
302.882.492.282.142.051.981.931.881.851.82
352.852.462.252.112.021.951.901.851.821.79
402.842.442.232.092.001.931.871.831.791.76
502.812.412.202.061.971.901.841.801.761.73
602.792.392.182.041.951.871.821.771.741.71
802.772.372.152.021.921.851.791.751.711.68
1002.762.362.142.001.911.831.781.731.691.66
2002.732.332.111.971.881.801.751.701.661.63
5002.722.312.091.961.861.791.731.681.641.61
10002.712.312.091.951.851.781.721.681.641.61
TABLA 4 VALORES DE CUANTILES DE LA DISTRIBUCIN F
V1= Grados de libertad del numerador
V 2 11 12 15 20 25 30 40 50 100 1000
160.4760.7161.2261.7462.0662.2662.5362.6963.0063.29
29.409.419.429.449.459.469.479.479.489.49
35.225.225.205.195.175.175.165.155.145.13
43.913.903.873.843.833.823.803.803.783.76
53.283.273.243.213.193.173.163.153.133.11
62.922.902.872.842.812.802.782.772.752.72
72.682.572.632.592.572.562.542.522.502.47
82.522.502.462.422.402.382.362.352.322.30
92.402.382.342.302.272.252.232.222.192.16
102.302.282.242.202.172.162.132.122.092.06
112.232.212.172.122.102.082.052.042.001.98
122.172.152.102.062.032.011.991.971.941.91
132.122.102.052.011.981.961.931.921.881.85
142.072.052.011.961.931.911.891.871.831.80
152.042.021.971.921.891.871.851.831.791.76
162.011.991.941.891.861.841.811.791.761.72
171.981.961.911.861.831.811.781.761.731.69
181.951.931.891.841.801.781.751.741.701.66
191.931.911.861.811.781.761.731.711.671.64
201.911.891.841.791.761.741.711.691.651.61
211.901.871.831.781.741.721.691.671.631.59
221.881.861.811.761.731.701.671.651.611.57
231.871.841.801.741.711.691.661.641.591.55
241.851.831.781.731.701.671.641.621.581.54
251.841.821.771.721.681.661.631.611.561.52
261.831.811.761.711.671.651.611.591.551.51
271.811.801.751.701.661.641.601.581.541.50
281.821.791.741.691.651.631.591.571.531.48
291.801.781.731.681.641.621.581.561.521.47
301.781.771.721.671.631.611.571.551.511.46
351.761.741.691.631.601.571.531.511.471.42
401.741.711.661.611.571.541.511.481.431.38
501.701.681.631.571.531.501.461.441.391.33
601.681.661.601.541.501.481.441.411.361.30
801.651.631.571.511.471.441.401.381.321.25
1001.641.611.561.491.451.421.381.351.291.22
2001.601.581.521.461.411.381.341.311.241.16
5001.581.561.501.441.391.361.311.281.211.11
10001.581.551.491.431.381.351.301.271.201.08
TABLA 4 VALORES DE CUANTILES DE LA DISTRIBUCIN F
V1= Grados de libertad del numerador
V 212345678910
1161.45199.50215.71224.58230.16233.99236.77238.88240.54241.88
218.5119.0019.1619.2519.3019.3319.3519.3719.3819.40
310.139.559.289.129.018.948.898.858.818.79
47.716.946.596.396.266.166.096.046.005.97
56.615.795.415.195.054.954.884.824.774.73
65.995.144.764.534.394.284.214.154.104.06
75.594.744.354.123.973.873.793.733.683.64
85.324.464.073.843.693.583.503.443.393.35
95.124.263.863.633.483.373.293.233.183.14
104.964.103.713.483.333.223.143.073.022.98
114.843.983.593.363.203.093.012.952.902.85
124.753.893.493.263.113.002.912.852.802.75
134.673.813.413.183.032.902.832.772.712.67
144.603.743.343.112.962.852.762.702.652.60
154.543.683.293.062.902.792.712.642.592.54
164.493.633.243.012.852.742.662.592.542.49
174.453.593.202.962.812.702.612.552.492.45
184.413.553.162.932.772.662.582.512.462.41
194.383.523.132.902.742.632.542.482.422.38
204.353.493.102.872.712.602.512.452.392.35
214.323.473.072.842.682.572.492.422.372.32
224.303.443.052.822.662.552.462.402.342.30
234.283.423.032.802.642.532.442.372.322.27
244.263.403.012.782.622.512.422.362.302.25
254.243.392.992.762.602.492.402.342.282.24
264.233.372.982.742.592.472.392.322.272.22
274.213.352.962.732.572.462.372.312.252.20
284.203.342.952.712.562.452.362.292.242.19
294.183.332.932.702.552.432.352.282.222.18
304.173.322.922.692.532.422.332.272.212.16
354.123.272.872.642.492.372.292.222.162.11
404.083.232.842.612.452.342.252.182.122.08
504.033.182.792.562.402.292.202.132.072.03
604.003.152.762.532.372.252.172.102.041.99
803.963.112.722.492.332.212.132.062.001.95
1003.943.092.702.462.312.192.102.031.971.93
2003.893.042.652.422.262.142.061.981.931.88
5003.863.012.622.392.232.122.031.961.901.85
10003.853.012.612.382.222.112.021.951.891.84
TABLA 4 VALORES DE CUANTILES DE LA DISTRIBUCIN F
V1= Grados de libertad del numerador
V 2111215 20253040501001000
1242.98243.91245.96248.01249.26250.08251.15251.77253.01254.17
219.4019.4119.4319.4519.4619.4619.4719.4819.4919.50
38.768.748.708.668.638.628.598.588.558.53
45.495.915.865.805.775.745.725.705.665.63
54.704.684.624.564.524.504.464.444.414.37
64.034.003.943.873.843.813.773.753.713.67
73.603.573.513.443.403.383.343.323.273.23
83.313.283.223.153.113.083.043.022.972.93
93.103.073.012.942.892.862.832.802.762.71
102.942.912.852.772.732.702.662.642.592.54
112.822.792.722.652.602.572.532.512.462.41
122.722.692.622.542.502.472.432.402.352.30
132.632.602.532.462.412.382.342.312.262.21
142.572.532.462.392.342.312.272.242.192.14
152.512.482.402.332.282.252.202.182.122.07
162.462.422.352.282.232.192.152.122.072.02
172.412.382.312.232.182.152.102.082.021.97
182.372.342.272.192.142.112.062.041.981.92
192.342.312.232.162.112.072.032.001.941.88
202.312.282.202.122.072.041.991.971.911.85
212.282.252.182.102.052.011.961.941.881.82
222.262.232.152.072.021.981.941.911.851.79
232.242.202.132.052.001.961.911.881.821.76
242.222.182.112.031.971.941.891.861.801.74
252.202.162.092.011.961.921.871.841.781.72
262.182.152.071.991.941.901.851.821.761.70
272.172.132.061.971.921.881.841.811.741.68
282.152.122.041.961.911.871.821.791.731.66
292.142.102.031.941.891.851.811.771.711.65
302.132.092.011.931.881.841.791.761.701.63
352.072.041.961.881.821.791.741.701.631.57
402.042.001.921.841.781.741.691.661.591.52
501.991.951.871.781.731.691.631.601.521.45
601.951.921.841.751.691.651.591.561.481.40
801.911.881.791.701.641.601.541.511.431.34
1001.891.851.771.681.621.571.521.481.391.30
2001.841.801.721.621.561.521.461.411.321.21
5001.811.771.691.591.531.481.421.381.281.14
10001.801.761.681.581.521.471.411.361.261.11
TABLA 4 VALORES DE CUANTILES DE LA DISTRIBUCIN F
V1= Grados de libertad del numerador
V 212345678910
298.5099.0099.1799.2599.3099.3399.3699.3799.3999.40
334.1230.8229.4628.7128.2427.9127.6727.5027.3427.22
421.2018.0016.6915.9815.5215.2114.9814.8014.6614.55
516.2613.2712.0611.3910.9710.6710.4610.2910.1610.05
613.7510.929.789.158.758.478.268.107.987.87
712.259.558.457.857.467.196.996.846.726.62
811.268.657.597.016.636.376.186.035.915.81
910.568.026.996.426.065.805.615.475.355.26
1010.047.566.555.995.645.395.205.064.944.85
119.657.216.225.675.325.074.894.744.634.54
129.336.935.955.415.064.824.644.504.394.30
139.076.705.745.214.864.624.444.304.194.10
148.866.515.565.044.694.464.284.144.033.94
158.686.365.424.894.564.324.144.003.893.80
168.536.235.294.774.444.204.033.893.783.69
178.406.115.184.674.344.103.933.793.683.59
188.296.015.094.584.254.013.843.713.603.51
198.185.935.014.504.173.943.773.633.523.43
208.105.854.944.434.103.873.703.563.463.37
218.025.784.874.374.043.813.643.513.403.31
227.955.724.824.313.993.763.593.453.353.26
237.885.664.764.263.943.713.543.413.303.21
247.825.614.724.223.903.673.503.363.263.17
257.775.574.684.183.853.633.463.323.223.13
267.725.534.644.143.823.593.423.293.183.09
277.685.494.604.113.783.563.393.263.153.06
287.645.454.574.073.753.533.363.233.123.03
297.605.424.544.043.733.503.333.203.093.00
307.565.394.514.023.703.473.303.173.072.98
357.425.274.403.913.593.373.203.072.962.88
407.315.184.313.833.513.293.122.992.892.80
507.175.064.203.723.413.193.022.892.782.70
607.084.984.133.653.343.122.952.822.722.63
806.964.884.043.563.263.042.872.742.642.55
1006.904.823.983.513.212.992.822.692.592.50
2006.764.713.883.413.112.892.732.602.502.41
5006.694.613.823.363.052.842.682.552.442.36
10006.664.633.803.343.042.822.662.532.432.34
TABLA 4 VALORES DE CUANTILES DE LA DISTRIBUCIN F
V1= Grados de libertad del numerador
V 2111215 20253040501001000
299.4199.4299.4399.4599.4699.4799.4799.4899.4999.51
327.1227.0326.8526.6726.5826.5026.4126.3526.2426.14
414.4514.3714.1914.0213.9113.8413.7513.6913.5813.48
59.969.899.729.559.459.389.309.249.139.03
67.797.727.567.407.297.237.157.096.996.89
76.546.476.316.166.065.995.915.865.755.66
85.735.675.525.365.265.205.125.074.964.87
95.185.114.964.814.714.654.574.524.414.32
104.774.714.564.414.314.254.174.124.013.92
114.464.404.254.104.003.943.863.813.713.61
124.224.164.013.863.763.703.623.573.473.37
134.023.963.823.663.573.513.433.383.273.18
143.863.803.663.513.413.353.273.223.113.02
153.733.673.523.373.283.213.133.082.982.88
163.623.553.413.263.163.103.022.972.862.76
173.523.463.313.163.073.002.922.872.762.66
183.433.373.233.082.982.922.842.782.682.58
193.363.303.153.002.912.842.762.712.602.50
203.293.233.092.942.842.782.692.642.542.43
213.243.173.032.882.782.722.642.582.482.37
223.183.122.982.832.732.672.582.532.422.32
233.143.072.932.782.692.622.542.482.372.27
243.093.032.892.742.642.582.492.442.332.22
253.062.992.852.702.602.542.452.402.292.18
263.022.962.812.662.572.502.422.362.252.14
272.992.932.782.632.542.472.382.332.222.11
282.962.902.752.602.512.442.352.302.192.08
292.932.872.732.572.482.412.332.272.162.05
302.912.842.702.552.452.392.302.242.132.02
352.802.742.602.442.352.282.192.142.021.90
402.732.662.522.372.272.202.112.061.941.82
502.622.562.422.272.172.102.011.951.821.70
602.562.502.352.202.102.031.941.881.751.62
802.482.422.272.122.011.941.851.791.651.51
1002.432.372.222.071.971.891.801.741.601.45
2002.342.272.131.971.871.791.691.631.481.30
5002.282.222.071.921.811.741.631.571.411.20
10002.272.202.061.901.791.721.611.541.381.16
55
555
5
5
6
6
66
7
7
7
TABLA 8 DE DUNCAN
Valores para el clculo de los lmites de significacin de las diferencias entre promedios en la prueba de t mltiple.
G.L. delerrorProbabilidad
Nmero de promedios determinado por los dos que se comparan dentro de la serie de todos los promedios ordenados por la magnitud de los mismos.2 3 4 5 6 7 8 9 10 12 14 16 18 20
1.05.0118.090.018.090.018.090.018.090.018.090.018.090.018.090.018.090.018.090.018.090.018.090.018.090.018.090.018.090.0
2.05.016.0914.06.0914.06.0914.06.0914.06.0914.06.0914.06.0914.06.0914.06.0914.06.0914.06.0914.06.0914.06.0914.06.0914.0
3.05.014.508.264.508.54.508.64.508.74.508.84.508.94.508.94.509.04.509.04.509.04.509.14.509.24.509.34.509.3
4.05.013.936.514.016.84.026.94.027.04.027.14.027.14.027.24.027.24.027.34.027.34.027.44.027.44.027.54.027.5
5.05.013.645.703.745.963.796.113.836.183.836.263.836.333.836.403.836.443.836.53.836.63.836.63.836.73.836.73.836.8
6.05.013.465.243.585.513.645.653.685.733.685.813.685.883.685.953.686.003.686.03.686.13.686.23.686.23.686.33.686.3
7.05.013.354.953.475.223.545.373.585.453.605.533.615.613.615.693.615.733.615.83.615.83.615.93.615.93.616.03.616.0
8.05.013.264.743.395.003.475.143.525.233.555.323.565.403.565.473.565.513.565.53.565.63.565.79.565.73.565.83.565.8
9.05.013.204.603.344.863.414.993.475.083.505.173.525.253.525.323.525.363.525.43.525.53.525.59.525.63.525.73.525.7
10.05.013.154.483.304.733.374.883.434.963.465.063.475.133.475.203.475.243.475.283.475.363.475.423.475.483.475.543.485.55
11.05.013.114.393.274.633.354.773.394.863.434.943.445.013.455.063.465.123.455.153.465.243.465.283.465.343.475.383.485.39
12.05.013.084.323.234.553.334.683.364.763.404.843.424.923.444.963.445.023.455.073.465.133.465.173.465.223.475.243.485.26
13.05.013.064.263.214.483.304.623.354.693.384.743.414.843.424.883.444.943.454.983.455.043.465.083.465.133.475.143.475.15
14.05.013.034.213.184.423.274.553.334.633.374.703.394.783.414.833.424.873.444.913.454.963.465.003.465.043.475.063.475.07
15.05.013.014.173.164.373.254.503.314.583.364.643.384.723.404.773.424.813.434.843.444.903.454.943.464.973.474.993.475.00
TABLA 8 DE DUNCAN
Valores para el clculo de los lmites de significacin de las diferencias entre promedios en la prueba de t mltiple.
G.L. delerrorProbabilidad
Nmero de promedios determinado por los dos que se comparan dentro de la serie de todos los promedios ordenados por la magnitud de los mismos.2 3 4 5 6 7 8 9 10 12 14 16 18 20
16.05.013.004.133.154.343.234.453.304.543.344.603.374.673.394.723.414.763.434.793.444.843.454.883.464.913.474.933.474.94
17.05.012.984.103.134.303.224.413.284.503.334.563.364.633.384.683.404.723.424.753.444.803.454.833.464.863.474.883.474.89
18.05.012.974.073.124.273.214.383.274.463.324.533.354.593.374.643.394.683.414.713.434.763.454.793.464.823.474.843.474.85
19.05.012.964.053.114.243.194.353.264.433.314.503.354.563.374.613.394.643.414.673.434.723.444.763.464.793.474.813.474.82
20.05.012.954.023.104.223.184.333.254.403.304.473.344.533.364.583.384.613.404.653.434.693.444.733.464.763.464.783.474.79
22.05.012.933.993.084.173.174.283.244.363.294.423.324.483.354.533.374.573.394.603.424.653.444.683.454.713.464.743.474.75
24.05.012.923.963.074.143.154.243.224.333.284.393.314.443.344.493.374.533.384.573.414.623.444.643.454.673.464.703.474.72
26.05.012.913.933.064.113.144.213.214.303.274.363.304.413.344.463.364.503.384.533.414.583.434.623.454.653.464.673.474.69
28.05.012.903.913.044.083.134.183.204.283.264.343.304.393.334.433.354.473.374.513.404.563.434.603.454.623.464.653.474.67
30.05.012.893.893.044.063.124.163.204.223.254.323.294.363.324.413.354.453.374.483.404.543.434.583.444.613.464.633.474.65
40.05.012.853.823.013.993.104.103.174.173.224.243.274.303.304.343.334.373.354.413.394.463.424.513.444.543.464.573.474.59
60.05.012.833.762.983.923.084.033.144.123.204.173.244.233.284.273.314.313.334.343.374.393.404.443.434.473.454.503.474.53
100.05.012.803.712.953.863.053.983.124.063.184.113.224.173.264.213.294.253.324.293.364.353.404.383.424.423.454.453.474.48
.05.012.773.642.923.803.023.903.093.983.154.043.194.093.234.143.264.173.294.203.344.263.384.313.414.343.444.383.474.41
TABLA 9 DE TUKEY Y STUDENT NEYMAN
Valores de q para la prueba de Tukey y Student Neyman
G. L.del errorNmero de promedios de los tratamientos
2345678910
5.05.013.645.704.606.975.227.805.678.426.068.916.339.326.589.676.809.976.9910.24
6.05.013.465.244.346.334.907.035.317.565.637.975.898.326.128.616.328.876.499.10
7.05.013.344.954.165.924.686.545.067.015.367.375.617.685.827.946.008.176.168.37
8.05.013.264.744.045.634.536.204.896.635.176.965.407.245.607.475.777.685.927.87
9.05.013.204.603.955.434.425.964.766.355.026.665.246.915.437.135.607.325.747.49
10.05.013.154.483.885.274.335.774.656.144.916.435.126.675.306.875.467.055.607.21
11.05.013.114.393.825.144.265.624.575.974.826.255.036.485.206.675.356.845.496.99
12.05.013.084.323.775.044.205.504.515.844.756.104.956.325.126.515.276.675.406.81
13.05.013.064.263.734.964.155.404.455.734.695.984.886.195.056.375.196.535.326.67
14.05.013.034.213.704.894.115.324.415.634.645.884.836.084.996.265.136.415.256.54
15.05.013.014.173.674.834.085.254.375.564.605.804.785.994.946.165.086.315.206.44
16.05.013.004.133.654.784.055.194.335.494.565.724.745.924.906.085.036.225.156.35
17.05.012.984.103.634.744.025.144.305.434.525.664.715.854.866.014.996.155.116.27
18.05.012.974.073.614.704.005.094.285.384.495.604.675.794.825.944.966.085.076.20
19.05.012.964.053.594.673.985.054.255.334.475.554.655.734.795.894.926.025.046.14
20.05.012.954.023.584.643.965.024.235.294.455.514.625.694.775.844.905.975.016.09
24.05.012.923.963.534.543.904.914.175.174.375.374.545.544.685.694.815.814.925.92
30.05.012.893.893.494.453.844.804.105.054.305.244.465.404.605.544.725.654.835.76
40.05.012.863.823.444.373.794.704.044.934.235.114.395.274.525.394.635.504.745.60
60.05.012.833.763.404.283.744.603.984.824.164.994.315.134.445.254.555.364.655.45
120.05.012.803.703.364.203.694.503.924.714.104.874.245.014.365.124.485.214.565.30
.05.012.773.643.314.123.634.403.864.604.034.764.174.884.294.994.395.084.475.16
TABLA 9 DE TUKEY Y STUDENT NEYMAN
Valores de q para la prueba de Tukey y Student Neyman
G. L del errorNmero de promedios de los tratamientos
11121314151617181920
5.05.017.1710.487.3210.707.4710.897.6011.087.7211.247.8311.407.9311.558.0311.688.1211.818.2111.93
6.05.016.659.306.799.496.929.657.039.817.149.957.2410.087.3410.217.4310.327.5110.437.5910.54
7.05.016.308.556.438.716.558.866.669.006.769.126.859.246.949.357.029.467.099.557.179.65
8.05.016.058.036.188.186.298.316.398.446.488.556.578.666.658.766.738.856.808.946.879.03
9.05.015.877.655.987.786.097.916.198.036.288.136.368.236.448.326.518.416.588.496.648.57
10.05.015.727.365.837.485.937.606.037.716.117.816.207.916.277.996.348.076.408.156.478.22
11.05.015.617.135.717.255.817.365.907.465.997.566.067.636.147.736.207.816.267.886.337.95
12.05.015.516.945.627.065.717.175.807.265.887.365.957.446.037.526.097.596.157.666.217.73
13.05.015.436.795.536.905.637.015.717.105.797.195.867.275.937.346.007.426.057.486.117.556.037.39
14.05.015.366.565.466.775.556.875.646.965.727.055.797.125.857.205.927.275.977.33
15.05.015.316.555.406.665.496.765.586.845.656.935.727.005.797.075.857.145.907.205.967.26
16.05.015.266.465.356.565.446.665.526.745.596.825.666.905.726.975.797.035.847.095.907.15
17.05.015.216.385.316.485.396.575.476.665.556.735.616.805.686.875.746.945.797.005.847.05
18.05.015.176.315.276.415.356.505.436.585.506.655.576.725.636.795.696.855.746.915.796.96
19.05.015.146.255.236.345.326.435.396.515.466.585.536.655.596.725.656.785.706.845.756.89
20.05.015.116.195.206.295.286.375.366.455.436.525.496.595.556.655.616.715.666.765.716.82
24.05.015.016.025.106.115.186.195.256.265.326.335.386.395.446.455.506.515.546.565.596.61
30.05.014.925.855.005.935.086.015.156.085.216.145.276.205.336.265.386.315.436.365.486.41
40.05.014.825.694.915.774.985.845.055.905.115.965.166.025.226.075.276.125.316.175.366.21
60.05.014.735.534.815.604.885.674.945.735.005.795.065.845.115.895.165.935.205.985.246.02
120.05.014.645.384.725.444.785.514.845.564.905.614.955.665.005.715.055.755.095.795.135.83
.05.014.555.234.625.294.685.354.745.404.805.454.855.494.895.544.935.574.975.615.015.65
TABLA 10 DE KOLMOGOROV-SMIRNOV
Nivel de significancia para D = mximo Tamao de n0.20 0.15 0.100.050.01
10.9000.9250.9500.9750.995
20.6840.7260.7760.8420.929
30.5650.5970.6420.7080.828
40.4940.5250.5640.6240.733
50.4460.4740.5100.5650.669
60.4100.4360.4700.5210.618
70.3810.4050.4380.4860.577
80.3580.3810.4110.4570.543
90.3390.3600.3880.4320.514
100.3220.3420.3680.4100.490
110.3070.3260.3520.3910.468
120.2950.3130.3380.3750.450
130.2840.3020.3250.3610.433
140.2740.2920.3140.3490.418
150.2660.2830.3040.3380.404
160.2580.2740.2950.3280.392
170.2500.2660.2860.3180.381
180.2440.2590.2780.3090.371
190.2370.2520.2720.3010.363
200.2310.2460.2640.2940.356
250.210.220.240.270.32
300.190.200.220.240.29
350.180.190.210.230.27
Ms de 35
2