Analisis Doble Masa
37
AÑO QUIULLA CASARAGRA LA CIMA LA OROYA PROM PROM. ACUM PROMEDIOS DE ESTACIONES 1985 675.4 637.7 452 889.8 663.73 663.73 675.4 637.7 452 1986 673.6 736.5 558.5 1075.9 761.13 1424.85 1349 1374.2 1010.5 1987 542.3 590 500.8 1083.7 679.20 2104.05 1891.3 1964.2 1511.3 1988 651.3 588.3 606.7 1002.6 712.23 2816.28 2542.6 2552.5 2118 1989 598.8 700.6 607.8 635.7 635.73 3452.00 3141.4 3253.1 2725.8 1990 459.1 639.9 714.8 713.6 631.85 4083.85 3600.5 3893 3440.6 1991 602.1 729.6 722 507.8 640.38 4724.23 4202.6 4622.6 4162.6 1992 802.8 845.2 868.8 485.3 750.53 5474.75 5005.4 5467.8 5031.4 1993 637.8 976.5 742.3 668.5 756.28 6231.03 5643.2 6444.3 5773.7 1994 618.3 886.8 584 568.2 664.33 6895.35 6261.5 7331.1 6357.7 1995 719 816.5 716.4 502.8 688.68 7584.03 6980.5 8147.6 7074.1 1996 511.1 663.9 646.3 349.4 542.68 8126.70 7491.6 8811.5 7720.4 1997 565.4 712.6 688.2 514.9 620.28 8746.98 8057 9524.1 8408.6 1998 750.3 914.8 947.1 407.9 755.03 9502.00 8807.3 10438.9 9355.7 1999 507.6 469.1 645.3 687.5 577.38 10079.38 9314.9 10908 10001 CON LA INFORMACION DE LAS PRESIPITACIONES ANUALES, ESTACIONES MOSTRADAS ELABPRAR EL DIAGRAMA DE DOBLE MAS ASI COMO EL DIAGRAMA DE DOBLE MASA REFERIDO A LA ESTACION INDICE Y DETERMINAR LA ESTACION A CORREGIR 0.00 2000.00 4000.00 6000.00 8000.00 10000.00 12000.00 R² = 0.999537638873498 R² = 0.996962778654885 R² = 0.997809292649249 R² = 0.977707382649989 QUIULLA Linear (QUIULLA) CASARAGRA Linear (CASARAGRA) LA CIMA Linear (LA CIMA) LA OROYA Linear (LA OROYA)
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Transcript of Analisis Doble Masa
AÑO QUIULLA CASARAGRA LA CIMA LA OROYA PROM PROM. ACUM PROMEDIOS DE ESTACIONES
1985 675.4 637.7 452 889.8 663.72 663.72 675.4 637.7 452 889.81986 673.6 736.5 558.5 1075.9 761.13 1424.85 1349 1374.2 1010.5 1965.701987 542.3 590 500.8 1083.7 679.20 2104.05 1891.3 1964.2 1511.3 3049.401988 651.3 588.3 606.7 1002.6 712.23 2816.28 2542.6 2552.5 2118 4052.001989 598.8 700.6 607.8 635.7 635.73 3452.00 3141.4 3253.1 2725.8 4687.701990 459.1 639.9 714.8 713.6 631.85 4083.85 3600.5 3893 3440.6 5401.301991 602.1 729.6 722 507.8 640.38 4724.23 4202.6 4622.6 4162.6 5909.101992 802.8 845.2 868.8 485.3 750.53 5474.75 5005.4 5467.8 5031.4 6394.401993 637.8 976.5 742.3 668.5 756.28 6231.03 5643.2 6444.3 5773.7 7062.901994 618.3 886.8 584 568.2 664.33 6895.35 6261.5 7331.1 6357.7 7631.101995 719 816.5 716.4 502.8 688.68 7584.03 6980.5 8147.6 7074.1 8133.901996 511.1 663.9 646.3 349.4 542.68 8126.70 7491.6 8811.5 7720.4 8483.301997 565.4 712.6 688.2 514.9 620.28 8746.98 8057 9524.1 8408.6 8998.201998 750.3 914.8 947.1 407.9 755.03 9502.00 8807.3 10438.9 9355.7 9406.101999 507.6 469.1 645.3 687.5 577.38 10079.38 9314.9 10908 10001 10093.60
CON LA INFORMACION DE LAS PRESIPITACIONES ANUALES, ESTACIONES MOSTRADAS ELABPRAR EL DIAGRAMA DE DOBLE MASAASI COMO EL DIAGRAMA DE DOBLE MASA REFERIDO A LA ESTACION INDICE Y DETERMINAR LA ESTACION A CORREGIR
663.72
1424.85
2104.05
2816.28
3452.00
4083.85
4724.23
5474.75
6231.03
6895.35
7584.03
8126.70
8746.98
9502.00
10079.380.00
2000.00
4000.00
6000.00
8000.00
10000.00
12000.00
R² = 0.999537638873498
R² = 0.996962778654885
R² = 0.997809292649249R² = 0.97770738264999
QUIULLALinear (QUIULLA)CASARAGRALinear (CASARAGRA)LA CIMALinear (LA CIMA)LA OROYALinear (LA OROYA)
ANALISI SDE DOBLE MASA REFERIDO A LA ESTACION INDICE
663.72
1424.85
2104.05
2816.28
3452.00
4083.85
4724.23
5474.75
6231.03
6895.35
7584.03
8126.70
8746.98
9502.00
10079.380.00
2000.00
4000.00
6000.00
8000.00
10000.00
12000.00
R² = 0.999537638873498
R² = 0.996962778654885
R² = 0.997809292649249R² = 0.97770738264999
QUIULLALinear (QUIULLA)CASARAGRALinear (CASARAGRA)LA CIMALinear (LA CIMA)LA OROYALinear (LA OROYA)
675.41349
1891.3
2542.6
3141.4
3600.5
4202.6
5005.4
5643.2
6261.5
6980.5
7491.68057
8807.3
9314.90
2000
4000
6000
8000
10000
12000
R² = 0.996962778654885
R² = 0.997809292649249R² = 0.97770738264999
CASARAQRALinear (CASARAQRA)LA CIMALinear (LA CIMA)LA OROYALinear (LA OROYA)
ESTACION LA OROYAAÑO ENERO FEBRERO MARZO ABRIL MAYO JUNIO JULIO1985 149.70 133.40 106.10 66.00 17.60 36.70 13.401986 179.40 193.00 192.10 153.30 35.30 0.60 25.401987 185.60 126.60 85.10 25.90 37.20 22.70 50.201988 198.90 139.90 96.40 107.50 12.40 0.00 2.201989 94.50 89.30 88.70 43.30 6.90 4.20 1.501990 162.00 38.60 33.50 33.50 33.00 31.90 11.901991 50.20 49.50 99.80 29.10 27.10 29.00 2.401992 45.60 43.90 31.10 25.90 18.90 30.80 7.901993 79.40 72.90 83.50 34.60 10.70 32.60 13.301994 88.10 100.80 64.60 80.10 19.80 1.60 0.001995 106.20 96.70 62.80 48.30 7.10 0.00 10.501996 52.90 68.20 51.30 52.60 8.60 0.00 0.001997 75.60 104.00 45.50 26.60 8.00 0.70 1.501998 95.70 70.30 48.60 28.90 7.30 0.50 0.001999 112.90 125.60 90.20 61.80 10.70 3.70 18.40
TOTAL 1676.70 1452.70 1179.30 817.40 260.60 195.00 158.60PROMEDIO 111.78 96.85 78.62 54.49 17.37 13.00 10.57DESV 51.21 42.09 39.81 35.99 10.88 15.19 13.40MAX 198.90 193.00 192.10 153.30 37.20 36.70 50.20MED 95.70 96.70 83.50 43.30 12.40 3.70 7.90MIN 45.60 38.60 31.10 25.90 6.90 0.00 0.00
19851 2 3 4 5 6 7 8
149.70 133.40 106.10 66.00 17.60 36.70 13.40 8.00
1 7 13 19 25 31 37 43 49 55 61 67 73 79 85 91 97 103 109 115 121 127 133 139 145 151 157 163 169 175
0.00
20.00
40.00
60.00
80.00
100.00
120.00
140.00
160.00
180.00
200.00
Row 30
1 7 13 19 25 31 37 43 49 55 61 67 73 79 85 91 97 103 109 115 121 127 133 139 145 151 157 163 169 175
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Row 30
AGOSTO SEPTIEMBRE OCTUBRE NOVIEMBRE DICIEMBRE TOTAL PROM8.00 50.90 47.20 86.70 174.10 889.80 74.15
57.20 72.30 51.70 40.90 74.70 1075.90 89.6629.40 55.80 78.20 192.40 194.60 1083.70 90.310.00 45.20 102.10 133.10 164.90 1002.60 83.55
39.10 41.40 55.10 116.40 55.30 635.70 52.9839.20 45.40 116.00 99.70 68.90 713.60 59.470.00 69.90 48.80 52.90 49.10 507.80 42.328.70 52.50 64.10 89.30 66.60 485.30 40.44
17.30 35.10 79.40 125.60 84.10 668.50 55.718.40 34.30 42.60 38.20 89.70 568.20 47.352.80 19.60 30.20 41.90 76.70 502.80 41.905.40 9.80 26.70 35.70 38.20 349.40 29.12
26.20 62.60 44.00 48.80 71.40 514.90 42.910.00 2.00 47.50 57.80 49.30 407.90 33.994.90 42.60 44.10 82.80 89.80 687.50 57.29
246.60 639.40 877.70 1242.20 1347.40 10093.60 841.1316.44 42.63 58.51 82.81 89.83 672.91 56.0817.74 20.29 25.28 44.85 48.27 237.90 19.8357.20 72.30 116.00 192.40 194.608.40 45.20 48.80 82.80 74.700.00 2.00 26.70 35.70 38.20
1985 19869 10 11 12 13 14 15
50.90 47.20 86.70 174.10 179.40 193.00 192.10
1 7 13 19 25 31 37 43 49 55 61 67 73 79 85 91 97 103 109 115 121 127 133 139 145 151 157 163 169 175
0.00
20.00
40.00
60.00
80.00
100.00
120.00
140.00
160.00
180.00
200.00
Row 30
1 7 13 19 25 31 37 43 49 55 61 67 73 79 85 91 97 103 109 115 121 127 133 139 145 151 157 163 169 175
0.00
20.00
40.00
60.00
80.00
100.00
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198616 17 18 19 20 21 22 23
153.30 35.30 0.60 25.40 57.20 72.30 51.70 40.90
1 7 13 19 25 31 37 43 49 55 61 67 73 79 85 91 97 103 109 115 121 127 133 139 145 151 157 163 169 175
0.00
20.00
40.00
60.00
80.00
100.00
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1 7 13 19 25 31 37 43 49 55 61 67 73 79 85 91 97 103 109 115 121 127 133 139 145 151 157 163 169 175
0.00
20.00
40.00
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80.00
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Row 30
1986 198724 25 26 27 28 29 30 31
74.70 185.60 126.60 85.10 25.90 37.20 22.70 50.20
1987 198832 33 34 35 36 37 38 39
29.40 55.80 78.20 192.40 194.60 198.90 139.90 96.40
198840 41 42 43 44 45 46 47
107.50 12.40 0.00 2.20 0.00 45.20 102.10 133.10
1988 198948 49 50 51 52 53 54 55
164.90 94.50 89.30 88.70 43.30 6.90 4.20 1.50
1989 199056 57 58 59 60 61 62 63
39.10 41.40 55.10 116.40 55.30 162.00 38.60 33.50
199064 65 66 67 68 69 70 71
33.50 33.00 31.90 11.90 39.20 45.40 116.00 99.70
1990 199172 73 74 75 76 77 78 79
68.90 50.20 49.50 99.80 29.10 27.10 29.00 2.40
1991 199280 81 82 83 84 85 86 87
0.00 69.90 48.80 52.90 49.10 45.60 43.90 31.10
199288 89 90 91 92 93 94 95
25.90 18.90 30.80 7.90 8.70 52.50 64.10 89.30
1992 199396 97 98 99 100 101 102 103
66.60 79.40 72.90 83.50 34.60 10.70 32.60 13.30
1993 1994104 105 106 107 108 109 110 111
17.30 35.10 79.40 125.60 84.10 88.10 100.80 64.60
1994112 113 114 115 116 117 118 119
80.10 19.80 1.60 0.00 8.40 34.30 42.60 38.20
1994 1995120 121 122 123 124 125 126 127
89.70 106.20 96.70 62.80 48.30 7.10 0.00 10.50
1995 1996128 129 130 131 132 133 134 1352.80 19.60 30.20 41.90 76.70 52.90 68.20 51.30
1996136 137 138 139 140 141 142 143
52.60 8.60 0.00 0.00 5.40 9.80 26.70 35.70
1996 1997144 145 146 147 148 149 150 151
38.20 75.60 104.00 45.50 26.60 8.00 0.70 1.50
1997 1998152 153 154 155 156 157 158 159
26.20 62.60 44.00 48.80 71.40 95.70 70.30 48.60
1998160 161 162 163 164 165 166 167
28.90 7.30 0.50 0.00 0.00 2.00 47.50 57.80
1998 1999168 169 170 171 172 173 174 175
49.30 112.90 125.60 90.20 61.80 10.70 3.70 18.40
1999176 177 178 179 1804.90 42.60 44.10 82.80 89.80
ANALISIS DE SALTO
Periodo n X prom s1 n.s1²1 61 79.50 61.387 3768.32 229867.702 119 44.07 32.816 1076.88 128148.64
EN LA MEDIA
CALCULO DE LA DESVIACION PONDERADA Sp
Num 1 = 226099.3793 (N1 - 1)*(S1)^2Num 2 = 127071.7655 (N2 - 1)*(S2)^2Deno = 178.00 (N1 + N2 - 2)Sp = 44.54 ((Num1 + Num2)/Deno)^0.5
CALCULO DE LA DESVIACION PONDERADA Sp
Sd = 7.014 Sp*((1/N1)+(1/N2))^0.5Tc = 5.052 (X1 - X2)/Sd
CALCULO DEL "T" TABLA
alfa = 0.05N= 178.00T= 1.654
EN LA DESVIACION ESTANDAR
Var 1 = 3768.32Var 2 = 1076.88 Si Var 1 > Var 2 = Var1/Var2 num= n1 -1 deno= n2-1
Si Var 1 < Var 2 = Var2/Var1 num= n2 -1 deno= n1-1Fc = 3.499
CALCULO DEL "T" TABLA
alfa = 0.05Numerador = 60
Denominador = 118
s1²
Tc es mayor a T tabla, se concluye que la Media 1 es diferente a la Media 2, por lo que es necesario realizar la respectiva correccion de los datos
Ft = 1.459
N2Valor Corregido Valor Corregido52.9 96.027801324 62.8 114.547150849.1 88.9193641705 48.3 87.4228510945.6 82.3721194238 7.1 10.3524272143.9 79.1920291183 0 -2.92912641831.1 55.2478197592 10.5 16.7126078225.9 210.38529492 2.8 2.30866937918.9 82.3721194238 19.6 33.7354441630.8 54.6866273523 30.2 53.564242547.9 11.8489402957 41.9 75.450746418.7 13.3454533807 76.7 140.5490656
52.5 95.2795447815 52.9 96.0278013264.1 116.978984513 68.2 124.648614189.3 164.119146689 51.3 93.0347751566.6 121.655587904 52.6 95.4666089279.4 145.599797263 8.6 13.1583892572.9 133.440628448 0 -2.92912641883.5 153.269426823 0 -2.92912641834.6 61.7950645058 5.4 7.17233690510.7 17.086736093 9.8 15.4031588732.6 58.0537817935 26.7 47.0169977913.3 21.9504036191 35.7 63.8527717.3 29.4329690438 38.2 68.5293733935.1 62.7303851839 75.6 138.491360179.4 145.599797263 104 191.6175746
125.6 232.023427919 45.5 82.1850552984.1 154.391811637 26.6 46.8299336688.1 161.874377062 8 12.03600443
100.8 185.631522285 0.7 -1.61967746964.6 117.914305191 1.5 -0.12316438480.1 117.914305191 26.2 46.0816771119.8 34.1095724343 62.6 114.17302251.6 0.06389975174 44 79.379093250 -2.9291264182 48.8 88.35817176
8.4 12.7842609738 71.4 130.634666434.3 61.233872099 95.7 176.091251442.6 76.7601953553 70.3 128.576960938.2 68.5293733881 48.6 87.9840434989.7 164.867403232 28.9 51.13240878
Se concluye que la Desviacion 1 es distinto a la Desviacion 2, debido a que Fc es mayor a Ft, por lo tanto es necesario hacer la correcciones
106.2 195.732985609 7.3 10.7265554896.7 177.961892725 #N/A
Valor Corregido0.5 -1.99380574010 -2.92912641820 -2.92912641822 0.81215629422
47.5 85.926338000657.8 105.19394396949.3 89.2934924417
112.9 208.266282695125.6 232.02342791990.2 165.8027239161.8 112.67650939410.7 17.0867360933.7 3.99224659973
18.4 31.49067453564.9 6.23701622715
42.6 76.760195355344.1 79.566157389682.8 151.95997787489.8 165.054467367
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