Diseño III Parcial
13
DEBER DE DISEÑO GRUPAL Dunia Carrión Verónica Pinta Rusbel Carvajal Diseño de bloques completamente al azar Tratamiento Bloque Sustancia/Muestra 1 2 3 4 5 1 1.3 1.6 0.5 1.2 1.1 2 2.2 2.4 0.4 2 1.8 3 1.8 1.7 0.6 1.5 1.3 4 3.9 4.4 2 4.1 3.4 Sumatoria 9.2 10.1 3.5 8.8 7.6 Promedio 2.3 2.525 0.875 2.2 1.9 t = 4 FC = 76.832 b = 5 N = 20 Suma de Cuadrados SCT = 25.69 SCTrat = 18.044 SCB = 6.693 SCE = 0.95 Fisher FV SC GL CM Fo Ft (0,05) Tratamiento 18.04 3 6.01 75.89 3.49 Bloque 6.69 4 1.67 21.11 3.26 Error 0.95 12 0.08 Total 25.69 19 Coeficiente de Variabilidad CV = 0.14 14.36 Diagrama de cajas y bigotes q1 = 1.25 1 q2 = 2.5 3 q3 = 3.75 4
-
Upload
joel-franco-romero-l -
Category
Documents
-
view
215 -
download
0
description
modelos estadisticos para diseño experimental
Transcript of Diseño III Parcial
DEBER DE DISEÑO GRUPAL
Dunia CarriónVerónica PintaRusbel Carvajal
Diseño de bloques completamente al azar
Tratamiento BloqueSustancia/Muestra 1 2 3 4 5 Sumatoria
1 1.3 1.6 0.5 1.2 1.1 5.72 2.2 2.4 0.4 2 1.8 8.83 1.8 1.7 0.6 1.5 1.3 6.94 3.9 4.4 2 4.1 3.4 17.8
Sumatoria 9.2 10.1 3.5 8.8 7.6 39.2Promedio 2.3 2.525 0.875 2.2 1.9
t = 4 FC = 76.832 b = 5 32.49
N = 20 77.4447.61
Suma de Cuadrados 316.84474.38
SCT = 25.69SCTrat = 18.044
SCB = 6.693SCE = 0.95
FisherFV SC GL CM Fo Ft (0,05)
Tratamiento 18.04 3 6.01 75.89 3.49Bloque 6.69 4 1.67 21.11 3.26Error 0.95 12 0.08Total 25.69 19
Coeficiente de Variabilidad
CV = 0.14 14.36
Diagrama de cajas y bigotes
q1 = 1.25 1q2 = 2.5 3q3 = 3.75 4
0.5 1 0.4 11.1 2 1.8 21.2 3 2 31.3 4 2.2 41.6 5 2.4 5
0.6 1 2 11.3 2 3.4 21.5 3 3.9 31.7 4 4.1 41.8 5 4.4 5
1 0.5 1.2 1.32 0.4 2 2.23 0.6 1.5 1.74 2 3.9 4.1
Diagramas
1 2 3 40
0.5
1
1.5
2
2.5
3
3.5
4
4.5
Promedio 1.69 2.56 0.25 1.44 1.211.14 4.84 5.76 0.16 4 3.241.76 3.24 2.89 0.36 2.25 1.691.38 15.21 19.36 4 16.81 11.563.56
102.52
84.64 1.3 2.2 1.8 3.9102.01 1.6 2.4 1.7 4.4
12.25 0.5 0.4 0.6 277.44 1.2 2 1.5 4.157.76 1.1 1.8 1.3 3.4334.1
Supuestos
Tratamiento M de PicadoOperarios 1 2
1 1.3 1.62 2.2 2.43 1.8 1.74 3.9 4.4
Sumatoria 9.2 10.1Promedio 2.3 2.525
ResiduosTratamiento Bloque
Operarios 1 21 0.16 0.462 0.44 0.643 0.42 0.324 0.34 0.84
Supuesto de Normalidad
Analítico (Shapiro Wills)
1 -1.56 0.84 2.42 -1.36 0.64 23 -0.78 0.54 1.324 -0.64 0.46 1.15 -0.16 0.44 0.66 -0.08 0.42 0.57 -0.04 0.34 0.388 0.04 0.32 0.289 0.06 0.24 0.18
10 0.12 0.16 0.0411 0.16 0.12 -0.0412 0.24 0.06 -0.1813 0.32 0.04 -0.2814 0.34 -0.04 -0.3815 0.42 -0.08 -0.516 0.44 -0.16 -0.617 0.46 -0.64 -1.118 0.54 -0.78 -1.3219 0.64 -1.36 -220 0.84 -1.56 -2.4
Gráfica(i-0,5)/N Z=inv((i-0,5)/N)
1 -1.56 0.025 -1.962 -1.36 0.075 -1.443 -0.78 0.125 -1.154 -0.64 0.175 -0.935 -0.16 0.225 -0.766 -0.08 0.275 -0.607 -0.04 0.325 -0.458 0.04 0.375 -0.329 0.06 0.425 -0.19
10 0.12 0.475 -0.0611 0.16 0.525 0.0612 0.24 0.575 0.1913 0.32 0.625 0.3214 0.34 0.675 0.4515 0.42 0.725 0.6016 0.44 0.775 0.7617 0.46 0.825 0.9318 0.54 0.875 1.1519 0.64 0.925 1.4420 0.84 0.975 1.96
Supuesto de Igualdad de Varianza
Analítico (Hartley)
S1 = 0.16S2 = 0.63 Smax =S3 = 0.23 Smin =S4 = 0.89
S =
Gráfica
1 0.16 0.46 -0.642 0.44 0.64 -1.363 0.42 0.32 -0.784 0.34 0.84 -1.56
𝑒_𝑖
Supuesto de Independencia
Analítico (Durbin Watson)
Potencia-1.56 2.434-1.36 1.850-0.78 0.608-0.64 0.410-0.16 0.026-0.08 0.006-0.04 0.0020.04 0.002 d =0.06 0.0040.12 0.0140.16 0.0260.24 0.0580.32 0.102 dL =0.34 0.116 dU =0.42 0.1760.44 0.1940.46 0.2120.54 0.2920.64 0.4100.84 0.706
Sumatoria 7.644
Indecisión
0.5 1 1.5 2 2.5 3 3.5 4 4.5
-2
-1.5
-1
-0.5
0
0.5
1
Column AD Column AE Column AF Column AG Column AH
𝑒_𝑖
1.2 1.41 2.8
2dL dU 4-dL
Gráfica
1 0.162 0.643 -0.784 0.545 -0.046 0.447 0.328 -1.569 0.12
10 0.0411 0.4212 0.8413 -1.3614 0.0615 -0.0816 0.3417 0.4618 -0.6419 0.2420 -0.16
0.16 0.46 -0.640.44 0.64 -1.360.42 0.32 -0.780.34 0.84 -1.56
𝑒_𝑖
0 5 10 15 20 25
-2
-1.5
-1
-0.5
0
0.5
1
M de Picado Sumatoria Promedio3 4 5
0.5 1.2 1.1 5.7 1.140.4 2 1.8 8.8 1.760.6 1.5 1.3 6.9 1.382 4.1 3.4 17.8 3.56
3.5 8.8 7.6 39.20.875 2.2 1.9
ResiduosBloque
3 4 5-0.64 0.06 -0.04-1.36 0.24 0.04-0.78 0.12 -0.08-1.56 0.54 -0.16
0.47 1.14 2.430.32 0.64 1.850.26 0.34 2.720.21 0.23 0.410.17 0.10 1.130.13 0.07 0.010.10 0.04 0.000.07 0.02 0.000.04 0.01 0.000.01 0.00 0.01 0
0 0.00 0.030 0.00 0.06 0.870 0.00 0.100 0.00 0.12 0.9050 0.00 0.180 0.00 0.190 0.00 0.210 0.00 0.290 0.00 0.410 0.00 0.71
Sumatoria 2.58 10.87Potencia 6.66
𝑥^2=𝑊_𝐶𝑎𝑙𝑐𝑢𝑙𝑎𝑑𝑜=𝑊_𝑇𝑎𝑏𝑢𝑙𝑎𝑑𝑜=
Z=inv((i-0,5)/N)-1.96-1.44-1.15-0.93-0.76-0.60-0.45-0.32-0.19-0.060.060.190.320.450.600.760.931.151.441.96
0.890.16
5.56 Ft = 3.49
0.06 -0.040.24 0.040.12 -0.080.54 -0.16
-2 -1.5 -1 -0.5 0 0.5 1
-2.50
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
Chart Title
Column AF Linear (Column AF)Linear (Column AF) Column AGColumn AH
2.180.29
1.21.41
0.5 1 1.5 2 2.5 3 3.5 4 4.5
-2
-1.5
-1
-0.5
0
0.5
1
Column AD Column AE Column AF Column AG Column AH
2.59
44-dU
0.06 -0.040.24 0.040.12 -0.080.54 -0.16
0 5 10 15 20 25
-2
-1.5
-1
-0.5
0
0.5
1
-2 -1.5 -1 -0.5 0 0.5 1
-2.50
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
Chart Title
Column AF Linear (Column AF)Linear (Column AF) Column AGColumn AH
