prueba de simulacion jovc
DESCRIPTION
simulacionTRANSCRIPT
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1 2 3 4 5 6Aleatorio Aleatorio Aleatorio P.B.A P.B.A 01 0.84844 0.95708 0.0197131 4.696888 1.574157 42 0.56200 0.72919 0.2601482 4.123998 0.653164 23 0.92751 0.81332 0.9664348 4.855017 0.839177 34 0.54911 0.49425 0.1415424 4.098212 0.340860 25 0.51071 0.26448 0.2906577 4.021412 0.153592 56 0.90093 0.53494 0.5723607 4.801859 0.382798 87 0.92985 0.80259 0.6543151 4.859702 0.811240 38 0.22749 0.06392 0.8156321 3.454973 0.033029 19 0.58923 0.32028 0.051221 4.178450 0.193038 210 0.23867 0.50569 0.7466679 3.477335 0.352299 411 0.86792 0.27677 0.8477547 4.735835 0.162014 312 0.31391 0.87866 0.4470984 3.627819 1.054559 113 0.31999 0.02172 0.4929983 3.639982 0.010978 614 0.50737 0.19072 0.4726386 4.014742 0.105805 515 0.65610 0.00787 0.0878684 4.312192 0.003952 616 0.33182 0.78044 0.3391089 3.663646 0.758058 517 0.15081 0.92079 0.7802538 3.301630 1.267811 218 0.67731 0.92462 0.0285112 4.354629 1.292601 119 0.27071 0.23606 0.178005 3.541412 0.134635 320 0.78761 0.60498 0.4844288 4.575228 0.464415 421 0.69188 0.43012 0.7245279 4.383759 0.281163 522 0.19751 0.76359 0.5878906 3.395013 0.721103 223 0.51166 0.94936 0.8672776 4.023328 1.491532 424 0.18288 0.04493 0.608545 3.365753 0.022983 225 0.73726 0.20060 0.526825 4.474530 0.111948 426 0.15593 0.69239 0.9887295 3.311868 0.589455 227 0.30761 0.73089 0.5195937 3.615223 0.656321 428 0.24735 0.04457 0.6166945 3.494706 0.022797 329 0.71038 0.04667 0.2739994 4.420757 0.023897 330 0.30017 0.60738 0.1786922 3.600337 0.467454 3
2.256618 135.397073 3.3790742INSTRUCCIONES 4.8597021HACER TODAS LAS PRUEBAS DE ALEATORIEDAD: MEDIA, VARIANZA, UNIFORMIDAD E INDEPENDENCIA (1 y 2 con poker y 3 con corridas)
2HACER PRUEBAS DE BONDAD Y AJUSTE PARA LAS COLUMNAS 4,5 Y 6. De la columna 6, escoja unicamente el numero con el que termina su numero de control.
3GENERE una Distribucion Normal, con el metodo que desee, despues hagale la PBA a mano y por STAT FIT
1° PRUEBAS DE ALEATORIEDAD
PRUEBA DE MEDIAS
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n= 90 Z= -1.959964
0.4957681 44.61913LI= 0.4403602 0.4403602LS= 0.5596398
PRUEBA DE KOLMOGOROV - SMIRNOV0.00787
0.01971310.02172 i 1 2 3
0.0285112 i/n 0.0111111 0.02222222 0.03333330.04457 ri 0.00787 0.0197131 0.021720.04493 i-1/n 0 0.01111111 0.02222220.04667 i/n - ri 0.00324 0.00251 0.01162
0.051221 ri - i-1/n 0.00787 0.00860 -0.000500.06392
0.08786840.1415424
0.15081 D+= 0.060890.15593 D-= 0.05110
0.178005 D = 0.060890.1786922
0.182880.190720.197510.200600.227490.23606
r̄=
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0.23867 PRUEBAS DE INDEPANDENCIA0.24735
0.2601482 HIPOTESIS0.26448 H0: los numeros del conjunto ri son independientes.0.27071 H1: los numeros del conjunto ri no son independintes.
0.27399940.27677 PRUEBA DE CORRIDAS DE ARRIBA Y ABAJO
0.29065770.300170.307610.313910.319990.32028 19.666667 5.01111110.33182
0.3391089 0.01971310.43012 + 0.2601482
0.4470984 + 0.9664348 1.19124670.4726386 - 0.14154240.4844288 + 0.29065770.4929983 + 0.5723607
0.49425 + 0.65431510.50569 + 0.81563210.50737 - 0.0512210.51071 + 0.74666790.51166 + 0.8477547
0.5195937 - 0.44709840.526825 + 0.4929983
0.53494 - 0.47263860.54911 - 0.08786840.56200 + 0.3391089
0.5723607 + 0.78025380.5878906 - 0.0285112
0.58923 + 0.1780050.60498 + 0.48442880.60738 + 0.7245279
0.608545 - 0.58789060.6166945 + 0.86727760.6543151 - 0.608545
0.65610 - 0.5268250.67731 + 0.9887300.69188 - 0.51959370.69239 + 0.61669450.71038 - 0.2739994
0.7245279 - 0.17869220.72919
µ = ( 2�−1 )/3
�_^2 = (1 6�−29)/90
� = �^2 =
�_(0 )< _(� ⁄2)�
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0.730890.73726
0.74666790.76359
0.78025380.780440.787610.802590.81332
0.81563210.8477547
0.848440.8672776
0.867920.878660.900930.920790.924620.927510.929850.949360.95708
0.96643480.9887295
90
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1 2 3 4 5 65 2 1 1 4 35 6 4 4 1 15 2 2 3 3 43 1 1 2 4 24 2 3 3 3 72 0 0 6 2 33 3 2 2 5 37 1 5 3 5 43 2 3 1 3 64 6 4 2 2 34 6 5 2 4 94 1 7 0 1 66 4 0 2 5 63 2 3 6 4 43 4 4 3 6 12 2 1 4 3 56 3 0 4 8 25 4 4 3 6 24 4 5 5 1 52 3 3 1 3 34 5 2 5 5 61 2 6 1 3 31 0 5 2 3 32 1 5 5 1 34 6 4 2 3 53 2 3 4 2 23 6 3 0 4 45 0 0 3 1 53 1 1 1 1 72 2 2 4 3 4
88 2.9333333
HACER TODAS LAS PRUEBAS DE ALEATORIEDAD: MEDIA, VARIANZA, UNIFORMIDAD E INDEPENDENCIA (1 y 2 con poker y 3 con corridas)
HACER PRUEBAS DE BONDAD Y AJUSTE PARA LAS COLUMNAS 4,5 Y 6. De la columna 6, escoja unicamente el numero con el que termina su numero de control.
GENERE una Distribucion Normal, con el metodo que desee, despues hagale la PBA a mano y por STAT FIT
PRUEBA DE VARIANZA
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n= 90 0.4957681V(r)= 0.0835833X^2= 64.793361
LI= 0.0606679LS= 0.0606679
intervalo 0
0.110.210.310.410.510.610.710.810.91
SI
4 5 6 7 8 90.0444444 0.0555556 0.0666666667 0.0777778 0.0888889 0.10.0285112 0.04457 0.04493 0.04667 0.051221 0.063920.0333333 0.0444444 0.0555555556 0.0666667 0.0777778 0.0888888889
0.01593 0.01099 0.02174 0.03111 0.03767 0.03608-0.00482 0.00013 -0.01063 -0.02000 -0.02656 -0.02497
VALOR CRITICO0.1433566
r̄=
SI 0.06089 > 0.143357 SE HACEPTA H0: NO SE A DETECTADO DIFERENCIA SIGNIFICATIVA ENTRE LA DISTRIBUCION DE LOS NUMEROS ALEATORIOS QUE SIGUEN CON UNA DISTRIBUCION UNIFORME
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H0: los numeros del conjunto ri son independientes.H1: los numeros del conjunto ri no son independintes.
PRUEBA DE CORRIDAS DE ARRIBA Y ABAJO
Co= 18
0.7445291969
<
PRUEBA DE POKER0.848440.562000.92751 Todas diferentes 1 par 2 pares 1 tercia0.54911 0.92751 0.56200 0.90093 0.319990.51071 0.58923 0.54911 0.31391 0.182880.90093 0.23867 0.51071 0.51166 0.276770.92985 0.86792 0.92985 0.87866 0.200600.22749 0.24735 0.22749 0.007870.58923 0.71038 0.50737 40.23867 0.95708 0.65610 50.86792 0.80259 0.331820.31391 0.06392 0.150810.31999 0.19072 0.677310.50737 0.60498 0.27071 CATEGORIAS0.65610 0.43012 0.78761 TD0.33182 0.76359 0.69188 1P0.15081 0.73089 0.19751 2P0.67731 0.60738 0.73726 TP0.27071 15 0.15593 T0.78761 0.30761 P0.69188 0.30017 Q0.19751 0.729190.51166 0.81332
�_0 = _(0 −)(�
)� /��_(0=)
�_(0 )< _(� ⁄2)�
�=5% _ ⁄2) � (� = _0.025 � =
�_�
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0.18288 0.494250.73726 0.264480.15593 0.534940.30761 0.320280.24735 0.505690.71038 0.021720.30017 0.780440.95708 0.920790.72919 0.924620.81332 0.236060.49425 0.949360.26448 0.044930.53494 0.692390.80259 0.044570.06392 0.046670.320280.50569 350.276770.878660.021720.190720.007870.780440.920790.924620.236060.604980.430120.763590.949360.044930.200600.692390.730890.044570.046670.60738
〖�^2 〗 _( −1)^ � ,� = 〖� ^2〗 _(0.05 , 6 )=
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77 8 9 Normal5 6 40 4 21 4 23 3 24 4 22 1 74 1 51 4 34 3 55 1 10 2 13 4 45 5 42 5 32 1 23 2 25 2 44 4 24 3 23 5 32 3 07 0 01 1 55 3 32 2 31 4 65 3 26 5 51 0 02 4 5
HACER PRUEBAS DE BONDAD Y AJUSTE PARA LAS COLUMNAS 4,5 Y 6. De la columna 6, escoja unicamente el numero con el que termina su numero de control.
PRUEBA DE UNIFORMIDAD
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H1: ri no son uniformes.
PRUEBA DE LA CHI-CUADRADDAn= 90
m= 9.486833 9
intervalo FOA Oi(FO) Ei(FE) CHI-CUADRADA0.1 10 10 9 0.11111111110.2 18 8 9 0.11111111110.3 29 11 9 0.44444444440.4 36 7 9 0.44444444440.5 42 6 9 10.6 54 12 9 10.7 63 9 9 00.8 73 10 9 0.11111111110.9 81 8 9 0.1111111111
1 90 9 9 090 3.3333333333 CHI DE PRUEBA
16.9189776046 CHI DE TABLAS
3.3333333333 > 16.9189776046 SE HACEPTA H0: SON UNIFORMES
10 11 12 13 14 150.1111111111 0.1222222 0.1333333333 0.1444444 0.1555555556 0.1666667
0.087868384 0.1415424 0.15081 0.15593 0.1780049891 0.17869220.1 0.1111111 0.1222222222 0.1333333 0.1444444444 0.1555556
0.02324 -0.01932 -0.01748 -0.01149 -0.02245 -0.01203-0.01213 0.03043 0.02859 0.02260 0.03356 0.02314
H0 :ri ~ U(0,1)
SI 0.06089 > 0.143357 SE HACEPTA H0: NO SE A DETECTADO DIFERENCIA SIGNIFICATIVA ENTRE LA DISTRIBUCION DE LOS NUMEROS ALEATORIOS QUE SIGUEN CON UNA DISTRIBUCION UNIFORME
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1 tercia y 1 par poker quintilla0.84844
15 18.144 0.544793650835 30.24 0.7492592593
5 6.48 0.33802469144 0.54 22.16962962961 4.32 2.55148148150 0.27 0.270 0.006 0.006
26.6291887125
�_�( _(�_�−� )�
) ^� /�_�
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12.59
26.6291887125 < 12.59 SI, SE RECHAZA H0: LOS NUMEROS ALEATORIOS NO SE COMPORTAN DE MANERA UNIFORME.
〖�^2 〗 _( −1)^ � ,� = 〖� ^2〗 _(0.05 , 6 )=
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CHI DE PRUEBACHI DE TABLAS
16 17 18 19 20 21 220.1777778 0.1888889 0.2 0.2111111 0.2222222 0.2333333 0.2444444
0.18288 0.19072 0.19751 0.20060 0.22749 0.23606 0.238670.1666667 0.1777778 0.1888889 0.2 0.2111111 0.2222222 0.2333333
-0.00510 -0.00183 0.00249 0.01051 -0.00526 -0.00273 0.005780.01621 0.01294 0.00862 0.00060 0.01638 0.01384 0.00533
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SI, SE RECHAZA H0: LOS NUMEROS ALEATORIOS NO SE COMPORTAN DE MANERA UNIFORME.
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23 24 25 26 27 28 290.2555556 0.2666667 0.2777778 0.2888889 0.3 0.3111111 0.3222222
0.24735 0.2601482 0.26448 0.27071 0.2739994 0.27677 0.29065770.2444444 0.2555556 0.2666667 0.2777778 0.2888889 0.3 0.3111111
0.00820 0.00652 0.01329 0.01818 0.02600 0.03434 0.031560.00291 0.00459 -0.00218 -0.00707 -0.01489 -0.02323 -0.02045
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30 31 32 33 34 35 360.3333333 0.3444444 0.3555556 0.3666667 0.3777778 0.3888889 0.4
0.30017 0.30761 0.31391 0.31999 0.32028 0.33182 0.33910890.3222222 0.3333333 0.3444444 0.3555556 0.3666667 0.3777778 0.3888889
0.03316 0.03683 0.04165 0.04668 0.05750 0.05707 0.06089-0.02205 -0.02572 -0.03053 -0.03556 -0.04639 -0.04595 -0.04978
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37 38 39 40 41 42 430.4111111 0.4222222 0.4333333 0.4444444 0.4555556 0.4666667 0.4777778
0.43012 0.4470984 0.4726386 0.4844288 0.4929983 0.49425 0.505690.4 0.4111111 0.4222222 0.4333333 0.4444444 0.4555556 0.4666667
-0.01901 -0.02488 -0.03931 -0.03998 -0.03744 -0.02759 -0.027920.03012 0.03599 0.05042 0.05110 0.04855 0.03870 0.03903
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44 45 46 47 48 49 500.4888889 0.5 0.5111111 0.5222222 0.5333333 0.5444444 0.5555556
0.50737 0.51071 0.51166 0.5195937 0.526825 0.53494 0.549110.4777778 0.4888889 0.5 0.5111111 0.5222222 0.5333333 0.5444444
-0.01848 -0.01071 -0.00055 0.00263 0.00651 0.00950 0.006450.02959 0.02182 0.01166 0.00848 0.00460 0.00161 0.00466
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51 52 53 54 55 56 570.5666667 0.5777778 0.5888889 0.6 0.6111111 0.6222222 0.6333333
0.56200 0.5723607 0.5878906 0.58923 0.60498 0.60738 0.6085450.5555556 0.5666667 0.5777778 0.5888889 0.6 0.6111111 0.6222222
0.00467 0.00542 0.00100 0.01077 0.00613 0.01484 0.024790.00644 0.00569 0.01011 0.00034 0.00498 -0.00373 -0.01368
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58 59 60 61 62 63 640.6444444 0.6555556 0.6666667 0.6777778 0.6888889 0.7 0.71111110.6166945 0.6543151 0.65610 0.67731 0.69188 0.69239 0.710380.6333333 0.6444444 0.6555556 0.6666667 0.6777778 0.6888889 0.7
0.02775 0.00124 0.01057 0.00046 -0.00299 0.00761 0.00073-0.01664 0.00987 0.00054 0.01065 0.01410 0.00350 0.01038
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65 66 67 68 69 70 710.7222222 0.7333333 0.7444444 0.7555556 0.7666667 0.7777778 0.78888890.7245279 0.72919 0.73089 0.73726 0.7466679 0.76359 0.78025380.7111111 0.7222222 0.7333333 0.7444444 0.7555556 0.7666667 0.7777778
-0.00231 0.00415 0.01355 0.01829 0.02000 0.01418 0.008640.01342 0.00697 -0.00244 -0.00718 -0.00889 -0.00307 0.00248
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72 73 74 75 76 77 780.8 0.8111111 0.8222222 0.8333333 0.8444444 0.8555556 0.8666667
0.78044 0.78761 0.80259 0.81332 0.8156321 0.8477547 0.848440.7888889 0.8 0.8111111 0.8222222 0.8333333 0.8444444 0.8555556
0.01956 0.02350 0.01963 0.02001 0.02881 0.00780 0.01822-0.00845 -0.01239 -0.00852 -0.00890 -0.01770 0.00331 -0.00711
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79 80 81 82 83 84 850.8777778 0.8888889 0.9 0.9111111 0.9222222 0.9333333 0.94444440.8672776 0.86792 0.87866 0.90093 0.92079 0.92462 0.927510.8666667 0.8777778 0.8888889 0.9 0.9111111 0.9222222 0.9333333
0.01050 0.02097 0.02134 0.01018 0.00143 0.00871 0.016940.00061 -0.00986 -0.01023 0.00093 0.00968 0.00240 -0.00582
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86 87 88 89 900.9555556 0.9666667 0.9777778 0.9888889 1
0.92985 0.94936 0.95708 0.9664348 0.98872950.9444444 0.9555556 0.9666667 0.9777778 0.9888889
0.02570 0.01730 0.02070 0.02245 0.01127-0.01459 -0.00619 -0.00959 -0.01134 -0.00016
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PRUEBAS DE BONDAD Y AJUSTE2°
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4.696888 1.5741574.123998 0.6531644.855017 0.8391774.098212 0.340860 FRECUENCIA4.021412 0.153592 0.625 19 19 0.31666674.801859 0.382798 1.25 26 7 0.11666674.859702 0.811240 1.875 30 4 0.06666673.454973 0.033029 2.5 30 0 04.178450 0.193038 3.125 30 0 03.477335 0.352299 3.751 43 13 0.21666674.735835 0.162014 4.375 51 8 0.13333333.627819 1.054559 5 60 9 0.153.639982 0.010978 604.014742 0.1058054.312192 0.0039523.663646 0.7580583.301630 1.2678114.354629 1.2926013.541412 0.1346354.575228 0.4644154.383759 0.2811633.395013 0.7211034.023328 1.4915323.365753 0.0229834.474530 0.1119483.311868 0.5894553.615223 0.6563213.494706 0.0227974.420757 0.0238973.600337 0.467454
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3.8599336 1.32244724.0486862 0.00277223.7477713 0.70057374.8314931 0.4785214
0.3166667 4.0224982 0.16763140.4333333 4.2052062 0.1659471
0.5 3.870805 1.01013340.5 4.1043206 0.21147220.5 3.4929721 0.2027163
0.7166667 3.1386531 0.16885920.85 4.9541478 0.7790431
1 4.7507532 0.84551973.4727448 0.35862774.1743826 1.06850873.4956525 0.06231074.7752485 0.60637393.0888766 2.30495013.9865812 0.49672043.0869381 0.12559093.8182026 0.41588533.0916699 1.08562323.5238096 0.23396894.1919219 0.80336054.0652084 0.02638634.4957391 0.05057714.1985239 0.67305123.0085034 0.05217993.7547679 0.61817083.5882242 0.3548258
4.616573 0.343863