Diseño Completamente al Azar
Miguel pérez
2023-09-18
Diseño Completamente al azar
Problema a analizar: Se desea probar el efecto de probar el efecto de diferentes fuentes de azúcar sobre la actividad enzimática de las xilanasas,. Variable Respuesta: actividad enzimática xilanasa en UI obtenidos al final del cultivo para cada tratamiento ensayado con diferentes fuentes de azúcar
## Warning: Coercing text to numeric in B2 / R2C2: '250.3'## Warning: Coercing text to numeric in B3 / R3C2: '312.5'## Warning: Coercing text to numeric in B4 / R4C2: '198.4'## Warning: Coercing text to numeric in B5 / R5C2: '276.1'## Warning: Coercing text to numeric in B6 / R6C2: '145.6'## Warning: Coercing text to numeric in B7 / R7C2: '215.9'## Warning: Coercing text to numeric in B8 / R8C2: '334.7'## Warning: Coercing text to numeric in B9 / R9C2: '367.2'## Warning: Coercing text to numeric in B10 / R10C2: '178.9'## Warning: Coercing text to numeric in B11 / R11C2: '221.3'## Warning: Coercing text to numeric in B12 / R12C2: '290.8'## Warning: Coercing text to numeric in B13 / R13C2: '355.6'## Fuente Xilanasa
## Length:12 Min. :145.6
## Class :character 1st Qu.:211.5
## Mode :character Median :263.2
## Mean :262.3
## 3rd Qu.:318.1
## Max. :367.2Cálculo de ANOVA y el Modelo Lineal
## Df Sum Sq Mean Sq F value Pr(>F)
## Fuente 5 46158 9232 5.058 0.0367 *
## Residuals 6 10951 1825
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1##
## Call:
## lm(formula = Xilanasa ~ Fuente)
##
## Residuals:
## Min 1Q Median 3Q Max
## -38.85 -31.43 0.00 31.43 38.85
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 350.95 30.21 11.618 2.45e-05 ***
## FuenteGalactosa -170.20 42.72 -3.984 0.00725 **
## FuenteGlucosa -69.55 42.72 -1.628 0.15465
## FuenteLactosa -113.70 42.72 -2.661 0.03745 *
## FuenteSacarosa -27.75 42.72 -0.650 0.54003
## FuenteXilosa -150.85 42.72 -3.531 0.01235 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 42.72 on 6 degrees of freedom
## Multiple R-squared: 0.8083, Adjusted R-squared: 0.6485
## F-statistic: 5.058 on 5 and 6 DF, p-value: 0.03668Supuestos del Diseño Experimental
1.Normalidad
##
## Shapiro-Wilk normality test
##
## data: residuals(fit)
## W = 0.83985, p-value = 0.02757De manera gráfica, se puede evidenciar la normalidad
## Cargando paquete requerido: carData
## [1] 3 42.Homocedasticidad
##
## Bartlett test of homogeneity of variances
##
## data: Xilanasa by Fuente
## Bartlett's K-squared = 0.6796, df = 5, p-value = 0.98413.Independencia
Pruebas Aposteriori
##
## Study: fit ~ "Fuente"
##
## LSD t Test for Xilanasa
##
## Mean Square Error: 1825.106
##
## Fuente, means and individual ( 95 %) CI
##
## Xilanasa std r se LCL UCL Min Max Q25
## Fructosa 350.95 22.98097 2 30.20849 277.0325 424.8675 334.7 367.2 342.825
## Galactosa 180.75 49.70961 2 30.20849 106.8325 254.6675 145.6 215.9 163.175
## Glucosa 281.40 43.98204 2 30.20849 207.4825 355.3175 250.3 312.5 265.850
## Lactosa 237.25 54.94220 2 30.20849 163.3325 311.1675 198.4 276.1 217.825
## Sacarosa 323.20 45.82052 2 30.20849 249.2825 397.1175 290.8 355.6 307.000
## Xilosa 200.10 29.98133 2 30.20849 126.1825 274.0175 178.9 221.3 189.500
## Q50 Q75
## Fructosa 350.95 359.075
## Galactosa 180.75 198.325
## Glucosa 281.40 296.950
## Lactosa 237.25 256.675
## Sacarosa 323.20 339.400
## Xilosa 200.10 210.700
##
## Alpha: 0.05 ; DF Error: 6
## Critical Value of t: 2.446912
##
## least Significant Difference: 104.5352
##
## Treatments with the same letter are not significantly different.
##
## Xilanasa groups
## Fructosa 350.95 a
## Sacarosa 323.20 ab
## Glucosa 281.40 abc
## Lactosa 237.25 bc
## Xilosa 200.10 c
## Galactosa 180.75 cOtra opcion cuando cambiamos el argumento “group” a F(false)
##
## Study: fit ~ "Fuente"
##
## LSD t Test for Xilanasa
##
## Mean Square Error: 1825.106
##
## Fuente, means and individual ( 95 %) CI
##
## Xilanasa std r se LCL UCL Min Max Q25
## Fructosa 350.95 22.98097 2 30.20849 277.0325 424.8675 334.7 367.2 342.825
## Galactosa 180.75 49.70961 2 30.20849 106.8325 254.6675 145.6 215.9 163.175
## Glucosa 281.40 43.98204 2 30.20849 207.4825 355.3175 250.3 312.5 265.850
## Lactosa 237.25 54.94220 2 30.20849 163.3325 311.1675 198.4 276.1 217.825
## Sacarosa 323.20 45.82052 2 30.20849 249.2825 397.1175 290.8 355.6 307.000
## Xilosa 200.10 29.98133 2 30.20849 126.1825 274.0175 178.9 221.3 189.500
## Q50 Q75
## Fructosa 350.95 359.075
## Galactosa 180.75 198.325
## Glucosa 281.40 296.950
## Lactosa 237.25 256.675
## Sacarosa 323.20 339.400
## Xilosa 200.10 210.700
##
## Alpha: 0.05 ; DF Error: 6
## Critical Value of t: 2.446912
##
## Comparison between treatments means
##
## difference pvalue signif. LCL UCL
## Fructosa - Galactosa 170.20 0.0073 ** 65.664849 274.735151
## Fructosa - Glucosa 69.55 0.1546 -34.985151 174.085151
## Fructosa - Lactosa 113.70 0.0375 * 9.164849 218.235151
## Fructosa - Sacarosa 27.75 0.5400 -76.785151 132.285151
## Fructosa - Xilosa 150.85 0.0124 * 46.314849 255.385151
## Galactosa - Glucosa -100.65 0.0566 . -205.185151 3.885151
## Galactosa - Lactosa -56.50 0.2342 -161.035151 48.035151
## Galactosa - Sacarosa -142.45 0.0157 * -246.985151 -37.914849
## Galactosa - Xilosa -19.35 0.6665 -123.885151 85.185151
## Glucosa - Lactosa 44.15 0.3412 -60.385151 148.685151
## Glucosa - Sacarosa -41.80 0.3656 -146.335151 62.735151
## Glucosa - Xilosa 81.30 0.1057 -23.235151 185.835151
## Lactosa - Sacarosa -85.95 0.0909 . -190.485151 18.585151
## Lactosa - Xilosa 37.15 0.4179 -67.385151 141.685151
## Sacarosa - Xilosa 123.10 0.0280 * 18.564849 227.635151