PRUEBA DE CHI^2

ABEL: NUMERO DE ORDEN
ABEL: REGISTRO DE CAUDALESPRUEBA DE CHI CUADRADOmQNC = 1+1.33LN (N)10.040NC = 520.14730.167X = (XMAX-XMIN)/(NC)40.181X = 150.22260.260CALCULO DE FRCUENCIA ACUMULADA:70.27180.273INTERVALOS MARCASFRECUENCIA FRECUENCIAFRECUENCIA90.311DE DEABSOLUTAXi.fi(Xi-X)^2.fiRELATIVAACUMULADA100.457CLASECLASE110.5181234567120.5270.000.000.00130.6440.040.720.3815.005.695.540.3947370.394737140.6620.721.401.0614.0014.820.070.3684210.763158150.6971.402.081.748.0013.904.510.2105260.973684160.7602.082.762.420.000.000.000.0000000.973684170.7662.763.443.101.003.104.450.0263161.000000180.80838.0037.5014.571.000000190.809X0.99200.922S0.63211.005221.015CALCULO DE LA FRECUENCIA ABSOLUTA231.050241.065INTERVALOS LIMITEAREA BAJO
Luffi: OBTENIDO DE TABLAS FRECUENCIAFRECUENCIAFRECUENCIA251.082DE DELA CURVARELATIVAACUMULADAACUMULADA261.126CLASECLASENORMALeii271.1861234567281.2160.04-1.510.90320291.3380.040.720.38-0.970.821210.08203.0015.00301.4230.721.401.060.110.555671.376952.0014.00311.7101.402.081.741.200.26435-0.2913-11.008.00321.7872.082.762.422.280.07927-0.1851-7.000.00331.8002.763.443.103.360.01463-0.0646-2.001.00341.889352.0225.98Xc^231.45362.038372.059383.435

PROMEDIO0.99Calculo de Xt^2DESV.EST0.72Grados de libertadv= k-1-h2Nivel de significancia = 0.05

26.74106.816115.634349030562.715940.511322.049861495898.79888.3654.2825484765134.77942.913878.1495844875170.72341.412968.9750692521206.71206.713578.382271468190.173684210568517.473684210543.0328201851

PRUEBA DE SMIRNOV KOLMOGOROVPRUEBA DE SMIRNOV KOLMOGOROVm
ABEL: NUMERO DE ORDENQ
ABEL: REGISTRO DE CAUDALESQ = X
ABEL: CAUDALES ORDENADOS DE < A >P(X)
ABEL: PROBABILIDAD EMPIRICA DE LOS DATOS O FRECUENCIA ACUMULADA
ABEL: VARIABLE ESTANDARIZADA DE LA DISTRIBUCION NORMALF(Z)
ABEL: PROBABILIDAD DE LA DISTRIBUCION TEORICA= ABSm/(N+1)F(Z)-P(X)

10.040.040.0256410-1.330.06301
ABEL: VALORES TOMADOS DE LA TABLA A.20.03736900.16580.165820.150.150.0512821-1.180.082260.03097791.79811.798130.170.170.0769231-1.150.095100.01817691.74931.749340.180.180.1025641-1.130.111230.00866591.71611.716150.220.220.1282051-1.070.153860.02565491.62011.620160.260.260.1538462-1.020.153860.00001381.53601.536070.270.270.1794872-1.000.173610.00587721.51321.513280.270.270.2051282-1.000.176190.02893821.51001.510090.310.310.2307692-0.950.206110.02465921.43161.4316100.460.460.2564103-0.740.217700.03871031.16911.1691110.520.520.2820513-0.660.223630.05842131.07381.0738120.530.530.3076923-0.650.248250.05944231.05971.0597130.640.640.3333333-0.480.254630.07870330.90030.9003140.660.660.3589744-0.460.280960.07801440.87870.8787150.700.700.3846154-0.410.301530.08308540.83650.8365160.760.760.4102564-0.320.322760.08749640.76650.7665170.770.770.4358974-0.310.355690.08020740.76000.7600180.810.810.4615385-0.260.359420.10211850.71750.7175190.810.810.4871795-0.250.378280.10889950.71590.7159200.920.920.5128205-0.100.460170.05265050.61140.6114211.011.010.53846150.020.503990.03447150.54480.5448221.011.010.56410260.030.531880.03222260.53760.5376231.051.050.58974360.080.543800.04594360.51230.5123241.061.060.61538460.100.651730.03634540.50150.5015251.081.080.64102560.130.662760.02173440.48980.4898261.131.130.66666670.190.662760.00390670.46050.4605271.191.190.69230770.270.677240.01506770.42370.4237281.221.220.71794870.310.698470.01947870.40620.4062291.341.340.74358970.480.751750.00816030.34310.3431301.421.420.76923080.600.758040.01119080.30450.3045311.711.710.79487181.000.853140.05826820.20440.2044321.791.790.82051281.110.879000.05848720.18370.1837331.801.800.84615381.130.888770.04261620.18020.1802341.891.890.87179491.250.890650.01885510.15930.1593352.022.020.89743591.430.904900.00746410.13240.1324362.042.040.92307691.460.944850.02177310.12950.1295372.062.060.94871791.490.956370.00765210.12570.1257383.443.440.97435903.400.995980.02162100.01850.0185PROMEDIO0.9918239247DESV.EST0.7186116193

Calculo de = max

max= ABS(F(Z)-P(X))0.1088995

Valores criticos de o del estadistico Smirnov-Kolmogorov , para varios valores de N y niveles de significacion =0.05o= 1.36/(N)^0.50.2206211327

Criterio de decision: = 0.1088995